
Time bar (total: 7.0s)
| 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)
| 1.1s | 8 256× | 0 | valid |
ival-mult: 398.0ms (66.1% of total)ival-add: 77.0ms (12.8% of total)ival-div: 70.0ms (11.6% of total)ival-sub: 38.0ms (6.3% of total)exact: 11.0ms (1.8% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 y #s(literal 1/4 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 1/4 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1/4 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 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 |
| 41.0ms | 512× | 0 | valid |
Compiled 179 to 52 computations (70.9% saved)
ival-mult: 7.0ms (36.8% of total)ival-add: 5.0ms (26.3% of total)ival-div: 4.0ms (21% of total)ival-sub: 2.0ms (10.5% of total)exact: 1.0ms (5.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 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 | 101 |
| 4 | 3227 | 85 |
| 5 | 7480 | 85 |
| 0 | 12 | 13 |
| 0 | 18 | 13 |
| 1 | 30 | 13 |
| 2 | 58 | 13 |
| 3 | 110 | 13 |
| 4 | 211 | 11 |
| 5 | 474 | 9 |
| 6 | 1472 | 9 |
| 7 | 4626 | 9 |
| 0 | 8107 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 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 1/4 binary64))) z)) y)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
Compiled 13 to 12 computations (7.7% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 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 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) | |
| cost-diff | 128 | (+.f64 x (*.f64 y #s(literal 1/4 binary64))) | |
| cost-diff | 192 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) | |
| cost-diff | 320 | (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 54 |
| 0 | 18 | 54 |
| 1 | 30 | 54 |
| 2 | 58 | 54 |
| 3 | 110 | 54 |
| 4 | 211 | 48 |
| 5 | 474 | 46 |
| 6 | 1472 | 46 |
| 7 | 4626 | 46 |
| 0 | 8107 | 41 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) |
#s(literal 4 binary64) |
(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) |
(+.f64 x (*.f64 y #s(literal 1/4 binary64))) |
x |
(*.f64 y #s(literal 1/4 binary64)) |
y |
#s(literal 1/4 binary64) |
z |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) |
(fma.f64 #s(literal -4 binary64) (-.f64 z x) y) |
#s(literal 4 binary64) |
(-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z) |
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) |
(+.f64 x (*.f64 y #s(literal 1/4 binary64))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
x |
(*.f64 y #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) y) |
y |
#s(literal 1/4 binary64) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) | |
| accuracy | 0 | (*.f64 y #s(literal 1/4 binary64)) | |
| accuracy | 0 | (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) | |
| accuracy | 0.01171875 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 51.0ms | 256× | 0 | valid |
Compiled 110 to 26 computations (76.4% saved)
ival-add: 35.0ms (83.3% of total)ival-mult: 3.0ms (7.1% of total)ival-div: 2.0ms (4.8% of total)ival-sub: 1.0ms (2.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
(+.f64 x (*.f64 y #s(literal 1/4 binary64))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
(*.f64 y #s(literal 1/4 binary64)) |
| Outputs |
|---|
(* 4 (- (* 1/4 y) z)) |
(+ (* 4 x) (* 4 (- (* 1/4 y) z))) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* 1/4 y) |
(+ x (* 1/4 y)) |
(* 4 (/ (- (* 1/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(* 4 x) |
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
x |
(* x (+ 1 (* 1/4 (/ y x)))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1/4 (/ y x)) 1))) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* 4 (- x z)) |
(+ y (* 4 (- x z))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ y (* 4 (- x z))) y) |
y |
(* y (+ 1 (* 4 (/ (- x z) y)))) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(* y (+ 1/4 (/ x y))) |
1 |
(+ 1 (* 4 (/ (- x z) y))) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1/4))) |
(* 4 (+ x (* 1/4 y))) |
(+ (* -4 z) (* 4 (+ x (* 1/4 y)))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(* 4 (/ (+ x (* 1/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(* -4 z) |
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | ((* 4 (- (+ x (* y 1/4)) z)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ x (* y 1/4)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* y 1/4)) |
| 1.0ms | y | @ | 0 | ((* 4 (- (+ x (* y 1/4)) z)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ x (* y 1/4)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* y 1/4)) |
| 1.0ms | x | @ | inf | ((* 4 (- (+ x (* y 1/4)) z)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ x (* y 1/4)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* y 1/4)) |
| 1.0ms | y | @ | inf | ((* 4 (- (+ x (* y 1/4)) z)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ x (* y 1/4)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* y 1/4)) |
| 1.0ms | x | @ | 0 | ((* 4 (- (+ x (* y 1/4)) z)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ x (* y 1/4)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* y 1/4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 423 |
| 1 | 360 | 410 |
| 2 | 963 | 335 |
| 3 | 3620 | 321 |
| 0 | 8458 | 283 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 4 (- (* 1/4 y) z)) |
(+ (* 4 x) (* 4 (- (* 1/4 y) z))) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* 1/4 y) |
(+ x (* 1/4 y)) |
(* 4 (/ (- (* 1/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(* 4 x) |
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
x |
(* x (+ 1 (* 1/4 (/ y x)))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1/4 (/ y x)) 1))) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* 4 (- x z)) |
(+ y (* 4 (- x z))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ y (* 4 (- x z))) y) |
y |
(* y (+ 1 (* 4 (/ (- x z) y)))) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
(* y (+ 1/4 (/ x y))) |
1 |
(+ 1 (* 4 (/ (- x z) y))) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1/4))) |
(* 4 (+ x (* 1/4 y))) |
(+ (* -4 z) (* 4 (+ x (* 1/4 y)))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(* 4 (/ (+ x (* 1/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(* -4 z) |
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z))))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
| Outputs |
|---|
(* 4 (- (* 1/4 y) z)) |
(fma.f64 #s(literal -4 binary64) z y) |
(+ (* 4 x) (* 4 (- (* 1/4 y) z))) |
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(* 1/4 y) |
(*.f64 #s(literal 1/4 binary64) y) |
(+ x (* 1/4 y)) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(* 4 (/ (- (* 1/4 y) z) y)) |
(/.f64 (fma.f64 #s(literal -4 binary64) z y) y) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) |
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y) |
(* 4 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
x |
(* x (+ 1 (* 1/4 (/ y x)))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) |
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x) |
(* -1 (* x (- (* -1/4 (/ y x)) 1))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(* 4 (- x z)) |
(*.f64 (-.f64 x z) #s(literal 4 binary64)) |
(+ y (* 4 (- x z))) |
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y) |
(* 4 (/ (- x z) y)) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 (-.f64 x z) #s(literal 4 binary64))) y) |
(/ (+ y (* 4 (- x z))) y) |
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y) |
y |
(* y (+ 1 (* 4 (/ (- x z) y)))) |
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(* y (+ 1/4 (/ x y))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 1))) |
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y) |
(* -1 (* y (- (* -1 (/ x y)) 1/4))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(* 4 (+ x (* 1/4 y))) |
(fma.f64 #s(literal 4 binary64) x y) |
(+ (* -4 z) (* 4 (+ x (* 1/4 y)))) |
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(* 4 (/ (+ x (* 1/4 y)) y)) |
(/.f64 (fma.f64 #s(literal 4 binary64) x y) y) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(* -4 z) |
(*.f64 #s(literal -4 binary64) z) |
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z)) |
(* -4 (/ z y)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z))))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) x y) #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) z)) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 41 |
| 0 | 18 | 41 |
| 1 | 74 | 41 |
| 2 | 629 | 41 |
| 0 | 8480 | 36 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
(+.f64 x (*.f64 y #s(literal 1/4 binary64))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
(*.f64 y #s(literal 1/4 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 4 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z (-.f64 z (fma.f64 #s(literal 1/4 binary64) y x))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 4 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (pow.f64 (*.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 4 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 6 binary64)) (pow.f64 (*.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (*.f64 (*.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) (-.f64 (*.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z (-.f64 z (fma.f64 #s(literal 1/4 binary64) y x))))) |
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) |
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (pow.f64 (*.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))))) |
(*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 6 binary64)) (pow.f64 (*.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (*.f64 (*.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) (-.f64 (*.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 4 binary64)) (pow.f64 (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 4 binary64)) (pow.f64 (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (pow.f64 (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -4 binary64) (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) |
(*.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) #s(literal -4 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) (*.f64 (pow.f64 (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) #s(literal -1 binary64)) #s(literal 4 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 4 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) |
(*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 1 binary64))) |
(*.f64 #s(literal 4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 2 binary64))) #s(literal 4 binary64)) (-.f64 x (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 3 binary64))) #s(literal 4 binary64)) (fma.f64 x x (*.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) (-.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) #s(literal 4 binary64)) (neg.f64 (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 4 binary64)) (neg.f64 (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) #s(literal 1 binary64)) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 2 binary64)))) (-.f64 x (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) (-.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) x)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)))) (neg.f64 (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 4 binary64))) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)))) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 z) #s(literal 4 binary64)) (*.f64 (neg.f64 z) #s(literal 4 binary64)))) (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (*.f64 (neg.f64 z) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 4 binary64)))) (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 #s(literal -4 binary64) z))) (-.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) z))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) x)) (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z))) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z))))) (-.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 z) #s(literal 4 binary64)) (*.f64 (neg.f64 z) #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (*.f64 (neg.f64 z) #s(literal 4 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 4 binary64))) (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 4 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 #s(literal -4 binary64) z)) (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) x) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z))) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)))) (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 4 binary64))) (neg.f64 (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 4 binary64))) (neg.f64 (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)))) (neg.f64 (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 4 binary64)) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 4 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) (fma.f64 #s(literal 1/4 binary64) y x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) (fma.f64 #s(literal 1/4 binary64) y x))))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 4 binary64)))) |
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(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 3 binary64)))) (fma.f64 x x (*.f64 (*.f64 #s(literal 1/4 binary64) y) (fma.f64 #s(literal 1/4 binary64) y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(literal -1/16 binary64) (*.f64 y y)))) (fma.f64 #s(literal 1/4 binary64) y x) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (*.f64 #s(literal 1/4 binary64) y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
(fma.f64 y #s(literal 1/4 binary64) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/4 binary64) y) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))) (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/4 binary64) y)))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/4 binary64) y))))) |
(+.f64 (*.f64 #s(literal 1/4 binary64) y) x) |
(+.f64 x (*.f64 #s(literal 1/4 binary64) y)) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) #s(literal -1 binary64)) (/.f64 #s(literal 4 binary64) y)) |
(*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) z)) |
(*.f64 #s(literal -4 binary64) (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) |
(*.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) z) y))) |
(*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 4 binary64)) |
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) (*.f64 (pow.f64 (+.f64 z (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 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 1/4 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 1/4 binary64) y x) z)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)) |
(*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (*.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) (/.f64 #s(literal 4 binary64) y)) |
(*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64))) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y)) |
(pow.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (pow.f64 y #s(literal -1 binary64))) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) y)) (-.f64 x (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 4 binary64) y)) (fma.f64 x x (*.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) (-.f64 (fma.f64 #s(literal 1/4 binary64) y (neg.f64 z)) x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 4 binary64) y)) (neg.f64 (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) (/.f64 #s(literal 4 binary64) y)) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) (fma.f64 #s(literal 1/4 binary64) y x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) z))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 4 binary64))) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)))) (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) |
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (fma.f64 z (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) z)) #s(literal -1 binary64)) y) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 4 binary64)) (*.f64 y (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z))) (*.f64 y (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) |
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) |
(/.f64 #s(literal 4 binary64) (/.f64 y (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z))) |
(neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 binary64) y x) z) y))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 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 1/4 binary64) y (neg.f64 z)) #s(literal 4 binary64)))) |
(+.f64 (*.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 1/4 binary64) y (neg.f64 z))))) |
(*.f64 #s(literal 1/4 binary64) y) |
(*.f64 y #s(literal 1/4 binary64)) |
(/.f64 (neg.f64 y) #s(literal -4 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) y)) |
(/.f64 y #s(literal 4 binary64)) |
Compiled 9 519 to 1 412 computations (85.2% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 350 | 8 | 358 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 351 | 8 | 359 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.1% | (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
| ▶ | 100.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))) |
| ▶ | 69.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
| 68.1% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) | |
| 66.8% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) | |
| ▶ | 37.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
| 34.9% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) | |
| ▶ | 35.2% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
Compiled 352 to 272 computations (22.7% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 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 1/4 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 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 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 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | (/.f64 (-.f64 x z) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 318 |
| 0 | 63 | 314 |
| 1 | 132 | 311 |
| 2 | 286 | 309 |
| 3 | 1136 | 305 |
| 4 | 6895 | 305 |
| 0 | 8718 | 294 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
#s(literal 4 binary64) |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
x |
#s(literal 2 binary64) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 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 1/4 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 1/4 binary64) y x) z) y) #s(literal 3 binary64)) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) |
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) |
(fma.f64 #s(literal 1/4 binary64) y x) |
#s(literal 1/4 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 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) |
(*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) |
#s(literal 16 binary64) |
#s(literal 4 binary64) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
#s(literal 4 binary64) |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(*.f64 (/.f64 #s(literal 4 binary64) y) x) |
(/.f64 x y) |
x |
y |
#s(literal 4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
x |
#s(literal 2 binary64) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 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 1/4 binary64) y (-.f64 x z)) y) #s(literal 4 binary64)) y) (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y (-.f64 x z)) y) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y (-.f64 x z)) y) #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 3 binary64)) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) |
(-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) |
(fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) |
(fma.f64 #s(literal 1/4 binary64) y x) |
#s(literal 1/4 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 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 1 binary64))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y (-.f64 x z)) y) #s(literal 4 binary64)) y) (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 1 binary64)) |
(-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) |
(fma.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) |
(*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) |
(*.f64 #s(literal 16 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y)) |
#s(literal 16 binary64) |
#s(literal 4 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1426163086106521 | (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 3 binary64)) | |
| accuracy | 0.15691376953688402 | (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) | |
| accuracy | 17.055863363093515 | (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) | |
| accuracy | 28.629729859749308 | (*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))) | |
| accuracy | 0 | (/.f64 #s(literal 4 binary64) y) | |
| accuracy | 0.1015625 | (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) | |
| accuracy | 19.57801067760147 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 x y) #s(literal 4 binary64)) | |
| accuracy | 40.33673268021322 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) | |
| accuracy | 41.45963074629373 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) | |
| accuracy | 0 | (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) | |
| accuracy | 0 | (-.f64 x z) | |
| accuracy | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 x z) y) |
| 60.0ms | 173× | 0 | valid |
| 25.0ms | 52× | 1 | valid |
| 24.0ms | 31× | 2 | valid |
Compiled 640 to 84 computations (86.9% saved)
ival-mult: 36.0ms (43.3% of total)ival-div: 12.0ms (14.4% of total)ival-add: 10.0ms (12% of total)adjust: 8.0ms (9.6% of total)ival-sub: 6.0ms (7.2% of total)ival-pow: 6.0ms (7.2% of total)ival-neg: 3.0ms (3.6% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 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 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) |
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) z) y) #s(literal 3 binary64)) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 2 (* -4 (/ z y))) |
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* -1 z) |
(- x z) |
(* 4 (/ x y)) |
(/ x y) |
2 |
(+ 2 (* 4 (/ x y))) |
(/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))) |
(+ (* 64 (/ (pow (- (* 1/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* x (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) |
(+ (* 64 (/ (pow (- (* 1/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* x (- (+ (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (* x (- (* 64 (/ (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ (* (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) |
(+ (* 64 (/ (pow (- (* 1/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* x (- (+ (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (* x (- (+ (* 64 (/ (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (* x (- (* 64 (/ 1 (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* 16 (/ (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2))) (* (pow y 2) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (/ (* (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ (* (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ (* (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) |
(* -1 (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3))))) |
(- (* -64 (* x (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))))) (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3))))) |
(- (* x (- (* -64 (* x (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))))) (* 64 (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))))) (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3))))) |
(- (* x (- (* x (- (* -64 (/ x (pow y 3))) (* 64 (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))))) (* 64 (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))))) (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3))))) |
(* -1 (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))) |
(- (* x (- (* 4 (/ 1 y)) (* 32 (/ (- (* 1/4 y) z) (pow y 2))))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))) |
(- (* x (- (+ (* -16 (/ x (pow y 2))) (* 4 (/ 1 y))) (* 32 (/ (- (* 1/4 y) z) (pow y 2))))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))) |
(- (* 16 (/ (- (* 1/4 y) z) y)) 4) |
(- (+ (* 16 (/ x y)) (* 16 (/ (- (* 1/4 y) z) y))) 4) |
(+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) |
(+ 1 (+ (* x (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))) |
(+ 1 (+ (* x (- (+ (* 16 (/ x (pow y 2))) (* 32 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))) (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))) |
(/ (pow (- (* 1/4 y) z) 3) (pow y 3)) |
(+ (* x (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))) (/ (pow (- (* 1/4 y) z) 3) (pow y 3))) |
(+ (* x (+ (* x (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))) (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))))) (/ (pow (- (* 1/4 y) z) 3) (pow y 3))) |
(+ (* x (+ (* x (- (+ (* 3/4 (/ 1 (pow y 2))) (/ x (pow y 3))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))) (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))))) (/ (pow (- (* 1/4 y) z) 3) (pow y 3))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) |
(* x (- (+ (* 4 (/ (* (pow y 2) (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))) x)) (* 4 (/ 1 y))) (* 1/4 (/ (* y (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))) x)))) |
(* x (- (+ (* 4 (/ (* (pow y 2) (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))) (pow x 2))) (+ (* 4 (/ (* (pow y 2) (- (* 3/4 (/ 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) (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))))) (* 1/4 (* y (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y))))) (pow x 2))) (+ (* 1/4 (/ (* y (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y))) (pow x 2))) (* 1/4 (/ (* y (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))) x)))))) |
(* x (- (+ (* 1/16 (/ (* (pow y 2) (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3))))) (pow x 3))) (+ (* 4 (/ (* (pow y 2) (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))) (pow x 2))) (+ (* 4 (/ (* (pow y 2) (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))) x)) (* 4 (/ 1 y))))) (+ (* 1/16 (/ (* (pow y 2) (* (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y)) (- (* 4 (* (pow y 2) (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))))) (* 1/4 (* y (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))))) (pow x 3))) (+ (* 1/16 (/ (* (pow y 2) (* (- (* 4 (* (pow y 2) (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))))) (+ (* 1/16 (* (pow y 2) (* (- (* 4 (* (pow y 2) (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))))) (* 1/4 (* y (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))) (* 1/4 (* y (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y)))))) (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y))))) (pow x 3))) (+ (* 1/16 (/ (* (pow y 2) (* (- (* 4 (* (pow y 2) (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))))) (* 1/4 (* y (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y))))) (pow x 2))) (+ (* 1/4 (/ (* y (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y))) (pow x 2))) (* 1/4 (/ (* y (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))) x)))))))) |
(* -64 (/ (pow x 3) (pow y 3))) |
(* (pow x 3) (- (* -64 (/ (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) x)) (* 64 (/ 1 (pow y 3))))) |
(* (pow x 3) (- (* -64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (pow x 2))) (+ (* 64 (/ 1 (pow y 3))) (* 64 (/ (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) x))))) |
(* (pow x 3) (- (* -1 (/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (pow x 3))) (+ (* 64 (/ 1 (pow y 3))) (+ (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (pow x 2))) (* 64 (/ (- (* 3/4 (/ 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 (/ (- 1/4 (/ z y)) (* x y))) (* 16 (/ (- (* 1/4 y) z) (* x (pow y 2)))))))) |
(* (pow x 2) (- (+ (* -1 (/ (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y)) (pow x 2))) (/ 4 (* x y))) (+ (* 16 (/ 1 (pow y 2))) (+ (* 16 (/ (- 1/4 (/ z y)) (* x y))) (* 16 (/ (- (* 1/4 y) z) (* x (pow y 2)))))))) |
(* 16 (/ x y)) |
(* x (- (+ (* 16 (/ (- 1/4 (/ z y)) x)) (* 16 (/ 1 y))) (* 4 (/ 1 x)))) |
(* 16 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (+ (* 16 (/ (- 1/4 (/ z y)) (* x y))) (+ (* 16 (/ (- (* 1/4 y) z) (* x (pow y 2)))) (* 16 (/ 1 (pow y 2))))) (/ 4 (* x y)))) |
(* (pow x 2) (- (+ (* 16 (/ (- 1/4 (/ z y)) (* x y))) (+ (* 16 (/ (- (* 1/4 y) z) (* x (pow y 2)))) (+ (/ 1 (pow x 2)) (+ (* 16 (/ 1 (pow y 2))) (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) (* (pow x 2) y)))))) (/ 4 (* x y)))) |
(/ (pow x 3) (pow y 3)) |
(* (pow x 3) (- (+ (/ 3/4 (* x (pow y 2))) (/ 1 (pow y 3))) (+ (* 2 (/ z (* x (pow y 3)))) (/ z (* x (pow y 3)))))) |
(* (pow x 3) (- (+ (/ 3/4 (* x (pow y 2))) (+ (/ 1 (pow y 3)) (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (* (pow x 2) (pow y 3))) (/ (pow (- (* 1/4 y) z) 2) (* (pow x 2) (pow y 3)))))) (+ (* 2 (/ z (* x (pow y 3)))) (/ z (* x (pow y 3)))))) |
(* (pow x 3) (- (+ (/ 3/4 (* x (pow y 2))) (+ (/ 1 (pow y 3)) (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (* (pow x 2) (pow y 3))) (+ (/ (pow (- (* 1/4 y) z) 2) (* (pow x 2) (pow y 3))) (/ (pow (- (* 1/4 y) z) 3) (* (pow x 3) (pow y 3))))))) (+ (* 2 (/ z (* x (pow y 3)))) (/ z (* x (pow y 3)))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ z x) 1))) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
(* -1 (* x (- (* -1 (/ (- (* 4 (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3))))) (* -1/4 (* y (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y)))))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 4 (* (pow y 2) (+ (* -2 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))))) (+ (* -1/4 (* y (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y)))) (* 1/16 (* (pow y 2) (* (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y))) (- (* 4 (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3))))) (* -1/4 (* y (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y))))))))))) x)) (* 4 (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3)))))) (* -1/4 (* y (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y)))))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/16 (* (pow y 2) (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))))) (+ (* 1/16 (* (pow y 2) (* (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y)) (- (* 4 (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3))))) (* -1/4 (* y (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y))))))))) (* 1/16 (* (pow y 2) (* (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y))) (- (* 4 (* (pow y 2) (+ (* -2 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))))) (+ (* -1/4 (* y (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y)))) (* 1/16 (* (pow y 2) (* (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y))) (- (* 4 (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3))))) (* -1/4 (* y (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y)))))))))))))))) x)) (* 4 (* (pow y 2) (+ (* -2 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))))))) (+ (* -1/4 (* y (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y)))) (* 1/16 (* (pow y 2) (* (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y))) (- (* 4 (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3))))) (* -1/4 (* y (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y))))))))))) x)) (* 4 (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3)))))) (* -1/4 (* y (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y)))))) x)) (* 4 (/ 1 y))))) |
(* -1 (* (pow x 3) (+ (* 64 (/ (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3))) x)) (* 64 (/ 1 (pow y 3)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 64 (/ (+ (* -2 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))) x)) (* 64 (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3))))) x)) (* 64 (/ 1 (pow y 3)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1 (/ (- (+ (* 64 (/ (pow (- (* 1/4 y) z) 3) (* x (pow y 3)))) (/ 1 x)) (* 64 (+ (* -2 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))))) x)) (* 64 (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3))))) x)) (* 64 (/ 1 (pow y 3)))))) |
(* (pow x 2) (- (+ (* -16 (/ (- (* 1/4 y) z) (* x (pow y 2)))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) (* x y)))) (* 16 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (* -1 (/ (- (+ (/ 1 x) (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) (* x y))) (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y)))) x)) (* 16 (/ 1 (pow y 2))))) |
(* -1 (* x (- (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) x)) (* 16 (/ 1 y))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y))) x)) (* 16 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (+ (* -1 (/ (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y)) x)) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y)))) x)) (* 16 (/ 1 (pow y 2))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3))) x)) (/ 1 (pow y 3))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))) x)) (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3))))) (/ z (pow y 3))) x)) (/ 1 (pow y 3))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ (* -1 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 1/4 y) z) 3) (* x (pow y 3)))))) x)) (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3))))) (/ z (pow y 3))) x)) (/ 1 (pow y 3))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (- x z) y) |
(/ (+ (* 2 y) (* 4 x)) y) |
(/ 4 y) |
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(* -1 (+ 1 (* 64 (/ (pow (+ x (* 1/4 y)) 3) (pow y 3))))) |
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(* -1 (+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (/ (+ x (* 1/4 y)) y)) 4)) y))) |
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(- (* z (- (* -16 (/ z (pow y 2))) (+ (* -16 (/ (+ x (* 1/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (/ (+ x (* 1/4 y)) y)) 4) y))))) (+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (/ (+ x (* 1/4 y)) y)) 4)) y))) |
(- (* 16 (/ (+ x (* 1/4 y)) y)) 4) |
(- (+ (* -16 (/ z y)) (* 16 (/ (+ x (* 1/4 y)) y))) 4) |
(+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (/ (+ x (* 1/4 y)) y)) 4)) y)) |
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(+ 1 (+ (* z (+ (* -16 (/ (+ x (* 1/4 y)) (pow y 2))) (+ (* -1 (/ (- (* 16 (/ (+ x (* 1/4 y)) y)) 4) y)) (* 16 (/ z (pow y 2)))))) (/ (* (+ x (* 1/4 y)) (- (* 16 (/ (+ x (* 1/4 y)) y)) 4)) y))) |
(/ (pow (+ x (* 1/4 y)) 3) (pow y 3)) |
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(+ (* z (+ (* -2 (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))) (+ (* -1 (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))) (* z (+ (* 2 (/ (+ x (* 1/4 y)) (pow y 3))) (+ (* 1/4 (/ 1 (pow y 2))) (/ x (pow y 3)))))))) (/ (pow (+ x (* 1/4 y)) 3) (pow y 3))) |
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(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y)))) |
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(* z (- (/ x z) 1)) |
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(* z (- (+ (* 4 (/ (* (pow y 2) (+ (* -2 (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))))) (pow z 2))) (* 4 (/ (* (pow y 2) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 1/4 y)) (pow y 3))) (/ x (pow y 3))))) z))) (+ (* -1/4 (/ (* y (+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) y))) (pow z 2))) (+ (* -1/4 (/ (* y (+ (* -16 (/ (+ x (* 1/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) y)))) z)) (+ (* 1/16 (/ (* (pow y 2) (* (+ (* -16 (/ (+ x (* 1/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) y))) (- (* 4 (* (pow y 2) (+ (* 2 (/ (+ x (* 1/4 y)) (pow y 3))) (+ (* 1/4 (/ 1 (pow y 2))) (/ x (pow y 3)))))) (* -1/4 (* y (+ (* -16 (/ (+ x (* 1/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) y)))))))) (pow z 2))) (* 4 (/ 1 y))))))) |
(* z (- (+ (* 1/16 (/ (* (pow y 2) (+ 1 (* 64 (/ (pow (+ x (* 1/4 y)) 3) (pow y 3))))) (pow z 3))) (+ (* 4 (/ (* (pow y 2) (+ (* -2 (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))))) (pow z 2))) (* 4 (/ (* (pow y 2) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 1/4 y)) (pow y 3))) (/ x (pow y 3))))) z)))) (+ (* -1/4 (/ (* y (+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) y))) (pow z 2))) (+ (* -1/4 (/ (* y (+ (* -16 (/ (+ x (* 1/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) y)))) z)) (+ (* 1/16 (/ (* (pow y 2) (* (+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) y)) (- (* 4 (* (pow y 2) (+ (* 2 (/ (+ x (* 1/4 y)) (pow y 3))) (+ (* 1/4 (/ 1 (pow y 2))) (/ x (pow y 3)))))) (* -1/4 (* y (+ (* -16 (/ (+ x (* 1/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) y)))))))) (pow z 3))) (+ (* 1/16 (/ (* (pow y 2) (* (+ (* -16 (/ (+ x (* 1/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) y))) (- (* 4 (* (pow y 2) (+ (* -2 (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 1/4 y)) 2) (pow y 3)))))) (+ (* -1/4 (* y (+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) y)))) (* 1/16 (* (pow y 2) (* (+ (* -16 (/ (+ x (* 1/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) y))) (- (* 4 (* (pow y 2) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 1/4 y)) (pow y 3))) (/ x (pow y 3)))))) (* -1/4 (* y (+ (* -16 (/ (+ x (* 1/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) y))))))))))))) (pow z 3))) (+ (* 1/16 (/ (* (pow y 2) (* (+ (* -16 (/ (+ x (* 1/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) y))) (- (* 4 (* (pow y 2) (+ (* 2 (/ (+ x (* 1/4 y)) (pow y 3))) (+ (* 1/4 (/ 1 (pow y 2))) (/ x (pow y 3)))))) (* -1/4 (* y (+ (* -16 (/ (+ x (* 1/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) y)))))))) (pow z 2))) (* 4 (/ 1 y))))))))) |
(* 64 (/ (pow z 3) (pow y 3))) |
(* (pow z 3) (+ (* -64 (/ (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 1/4 y)) (pow y 3))) (/ x (pow y 3)))) z)) (* 64 (/ 1 (pow y 3))))) |
(* (pow z 3) (- (+ (* -64 (/ (+ (* -2 (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 1/4 y)) 2) (pow y 3)))) (pow z 2))) (* 64 (/ 1 (pow y 3)))) (* 64 (/ (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 1/4 y)) (pow y 3))) (/ x (pow y 3)))) z)))) |
(* (pow z 3) (- (+ (* -1 (/ (+ 1 (* 64 (/ (pow (+ x (* 1/4 y)) 3) (pow y 3)))) (pow z 3))) (* 64 (/ 1 (pow y 3)))) (+ (* 64 (/ (+ (* -2 (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 1/4 y)) 2) (pow y 3)))) (pow z 2))) (* 64 (/ (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 1/4 y)) (pow y 3))) (/ x (pow y 3)))) z))))) |
(* -16 (/ (pow z 2) (pow y 2))) |
(* (pow z 2) (- (* -1 (/ (+ (* -16 (/ (+ x (* 1/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) y))) z)) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) y)) (pow z 2))) (+ (* -16 (/ (+ x (* 1/4 y)) (* (pow y 2) z))) (+ (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) (* y z))) (* 16 (/ 1 (pow y 2))))))) |
(* -16 (/ z y)) |
(* z (- (* 16 (/ (+ 1/4 (/ x y)) z)) (+ (* 16 (/ 1 y)) (* 4 (/ 1 z))))) |
(* 16 (/ (pow z 2) (pow y 2))) |
(* (pow z 2) (+ (* -16 (/ (+ x (* 1/4 y)) (* (pow y 2) z))) (+ (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) (* y z))) (* 16 (/ 1 (pow y 2)))))) |
(* (pow z 2) (+ (* -16 (/ (+ x (* 1/4 y)) (* (pow y 2) z))) (+ (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) (* y z))) (+ (* 16 (/ 1 (pow y 2))) (+ (/ 1 (pow z 2)) (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) (* y (pow z 2)))))))) |
(* -1 (/ (pow z 3) (pow y 3))) |
(* (pow z 3) (- (+ (* 2 (/ (+ x (* 1/4 y)) (* (pow y 3) z))) (+ (/ 1/4 (* (pow y 2) z)) (/ x (* (pow y 3) z)))) (/ 1 (pow y 3)))) |
(* (pow z 3) (- (+ (* -2 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 3) (pow z 2)))) (+ (* -1 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 3) (pow z 2)))) (+ (* 2 (/ (+ x (* 1/4 y)) (* (pow y 3) z))) (+ (/ 1/4 (* (pow y 2) z)) (/ x (* (pow y 3) z)))))) (/ 1 (pow y 3)))) |
(* (pow z 3) (- (+ (* -2 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 3) (pow z 2)))) (+ (* -1 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 3) (pow z 2)))) (+ (* 2 (/ (+ x (* 1/4 y)) (* (pow y 3) z))) (+ (/ 1/4 (* (pow y 2) z)) (+ (/ x (* (pow y 3) z)) (/ (pow (+ x (* 1/4 y)) 3) (* (pow y 3) (pow z 3)))))))) (/ 1 (pow y 3)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 2 (* 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) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow y 3))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (* 4 (* (pow y 2) (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))))) (+ (* 1/16 (* (pow y 2) (* (- (* 4 (* (pow y 2) (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/4 (/ 1 (pow y 2))) (/ x (pow y 3))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (* 1/4 (* y (+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) y)))))) z)) (* 4 (* (pow y 2) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow y 3)))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 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 (* 1/4 y)) 3) (pow y 3)))))) (+ (* 1/16 (* (pow y 2) (* (+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) y)) (- (* 4 (* (pow y 2) (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/4 (/ 1 (pow y 2))) (/ x (pow y 3))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y))))))))) (* 1/16 (* (pow y 2) (* (- (* 4 (* (pow y 2) (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))))) (+ (* 1/16 (* (pow y 2) (* (- (* 4 (* (pow y 2) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow y 3))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (* 1/4 (* y (+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) y)))))) (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))))) z)) (* 4 (* (pow y 2) (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3)))))) (+ (* 1/16 (* (pow y 2) (* (- (* 4 (* (pow y 2) (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/4 (/ 1 (pow y 2))) (/ x (pow y 3))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (* 1/4 (* y (+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) y)))))) z)) (* 4 (* (pow y 2) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow y 3)))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) z)) (* 4 (/ 1 y))))) |
(* -1 (* (pow z 3) (- (* 64 (/ (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow y 3))))) z)) (* 64 (/ 1 (pow y 3)))))) |
(* -1 (* (pow z 3) (- (* -1 (/ (- (* 64 (/ (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))) z)) (* 64 (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow y 3))))))) z)) (* 64 (/ 1 (pow y 3)))))) |
(* -1 (* (pow z 3) (- (* -1 (/ (- (* -1 (/ (- (+ (* 64 (/ (pow (+ x (* 1/4 y)) 3) (* (pow y 3) z))) (/ 1 z)) (* 64 (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))))) z)) (* 64 (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow y 3))))))) z)) (* 64 (/ 1 (pow y 3)))))) |
(* (pow z 2) (- (* -1 (/ (- (* 4 (/ 1 y)) (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2))))) z)) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (* -1 (/ (- (+ (* 4 (/ 1 y)) (+ (/ 1 z) (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) (* y z)))) (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2))))) z)) (* 16 (/ 1 (pow y 2))))) |
(* -1 (* z (+ (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) z)) (* 16 (/ 1 y))))) |
(* (pow z 2) (+ (* -1 (/ (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y))) z)) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) y)) z)) (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2))))) (* 4 (/ 1 y))) z)) (* 16 (/ 1 (pow y 2))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/4 (/ 1 (pow y 2))) (/ x (pow y 3))))) z)) (/ 1 (pow y 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))) z)) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 1/2 (/ 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 (* 1/4 y)) 3) (* (pow y 3) z))) (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3)))) z)) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (/ x (pow y 3)))))) z)) (/ 1 (pow y 3))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 142.0ms | y | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (/ 4 y) (* (neg (+ (* (pow (/ (- (+ (* 1/4 y) x) z) y) 3) 64) 1)) (/ 1 (neg (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1)))) (neg (+ (* (pow (/ (- (+ (* 1/4 y) x) z) y) 3) 64) 1)) (neg (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1)) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4) (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1) (pow (/ (- (+ (* 1/4 y) x) z) y) 3)) |
| 12.0ms | z | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (/ 4 y) (* (neg (+ (* (pow (/ (- (+ (* 1/4 y) x) z) y) 3) 64) 1)) (/ 1 (neg (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1)))) (neg (+ (* (pow (/ (- (+ (* 1/4 y) x) z) y) 3) 64) 1)) (neg (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1)) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4) (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1) (pow (/ (- (+ (* 1/4 y) x) z) y) 3)) |
| 9.0ms | z | @ | -inf | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (/ 4 y) (* (neg (+ (* (pow (/ (- (+ (* 1/4 y) x) z) y) 3) 64) 1)) (/ 1 (neg (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1)))) (neg (+ (* (pow (/ (- (+ (* 1/4 y) x) z) y) 3) 64) 1)) (neg (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1)) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4) (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1) (pow (/ (- (+ (* 1/4 y) x) z) y) 3)) |
| 9.0ms | x | @ | -inf | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (/ 4 y) (* (neg (+ (* (pow (/ (- (+ (* 1/4 y) x) z) y) 3) 64) 1)) (/ 1 (neg (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1)))) (neg (+ (* (pow (/ (- (+ (* 1/4 y) x) z) y) 3) 64) 1)) (neg (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1)) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4) (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1) (pow (/ (- (+ (* 1/4 y) x) z) y) 3)) |
| 7.0ms | x | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (/ (- x z) y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ x y) 4) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (/ 4 y) (* (neg (+ (* (pow (/ (- (+ (* 1/4 y) x) z) y) 3) 64) 1)) (/ 1 (neg (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1)))) (neg (+ (* (pow (/ (- (+ (* 1/4 y) x) z) y) 3) 64) 1)) (neg (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1)) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4) (+ (* (/ (- (+ (* 1/4 y) x) z) y) (- (* (/ (- (+ (* 1/4 y) x) z) y) 16) 4)) 1) (pow (/ (- (+ (* 1/4 y) x) z) y) 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1229 | 11424 |
| 1 | 4103 | 11321 |
| 0 | 8567 | 10440 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 2 (* -4 (/ z y))) |
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* -1 z) |
(- x z) |
(* 4 (/ x y)) |
(/ x y) |
2 |
(+ 2 (* 4 (/ x y))) |
(/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))) |
(+ (* 64 (/ (pow (- (* 1/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* x (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) |
(+ (* 64 (/ (pow (- (* 1/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* x (- (+ (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (* x (- (* 64 (/ (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ (* (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) |
(+ (* 64 (/ (pow (- (* 1/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* x (- (+ (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (* x (- (+ (* 64 (/ (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (* x (- (* 64 (/ 1 (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* 16 (/ (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2))) (* (pow y 2) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (/ (* (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ (* (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ (* (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) |
(* -1 (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3))))) |
(- (* -64 (* x (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))))) (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3))))) |
(- (* x (- (* -64 (* x (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))))) (* 64 (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))))) (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3))))) |
(- (* x (- (* x (- (* -64 (/ x (pow y 3))) (* 64 (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))))) (* 64 (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))))) (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3))))) |
(* -1 (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))) |
(- (* x (- (* 4 (/ 1 y)) (* 32 (/ (- (* 1/4 y) z) (pow y 2))))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))) |
(- (* x (- (+ (* -16 (/ x (pow y 2))) (* 4 (/ 1 y))) (* 32 (/ (- (* 1/4 y) z) (pow y 2))))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))) |
(- (* 16 (/ (- (* 1/4 y) z) y)) 4) |
(- (+ (* 16 (/ x y)) (* 16 (/ (- (* 1/4 y) z) y))) 4) |
(+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) |
(+ 1 (+ (* x (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))) |
(+ 1 (+ (* x (- (+ (* 16 (/ x (pow y 2))) (* 32 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))) (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))) |
(/ (pow (- (* 1/4 y) z) 3) (pow y 3)) |
(+ (* x (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))) (/ (pow (- (* 1/4 y) z) 3) (pow y 3))) |
(+ (* x (+ (* x (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))) (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))))) (/ (pow (- (* 1/4 y) z) 3) (pow y 3))) |
(+ (* x (+ (* x (- (+ (* 3/4 (/ 1 (pow y 2))) (/ x (pow y 3))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))) (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))))) (/ (pow (- (* 1/4 y) z) 3) (pow y 3))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) |
(* x (- (+ (* 4 (/ (* (pow y 2) (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))) x)) (* 4 (/ 1 y))) (* 1/4 (/ (* y (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))) x)))) |
(* x (- (+ (* 4 (/ (* (pow y 2) (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))) (pow x 2))) (+ (* 4 (/ (* (pow y 2) (- (* 3/4 (/ 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) (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))))) (* 1/4 (* y (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y))))) (pow x 2))) (+ (* 1/4 (/ (* y (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y))) (pow x 2))) (* 1/4 (/ (* y (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))) x)))))) |
(* x (- (+ (* 1/16 (/ (* (pow y 2) (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3))))) (pow x 3))) (+ (* 4 (/ (* (pow y 2) (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))) (pow x 2))) (+ (* 4 (/ (* (pow y 2) (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3))))) x)) (* 4 (/ 1 y))))) (+ (* 1/16 (/ (* (pow y 2) (* (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y)) (- (* 4 (* (pow y 2) (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))))) (* 1/4 (* y (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))))) (pow x 3))) (+ (* 1/16 (/ (* (pow y 2) (* (- (* 4 (* (pow y 2) (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))))) (+ (* 1/16 (* (pow y 2) (* (- (* 4 (* (pow y 2) (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))))) (* 1/4 (* y (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))) (* 1/4 (* y (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y)))))) (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y))))) (pow x 3))) (+ (* 1/16 (/ (* (pow y 2) (* (- (* 4 (* (pow y 2) (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))))) (* 1/4 (* y (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y))))) (pow x 2))) (+ (* 1/4 (/ (* y (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y))) (pow x 2))) (* 1/4 (/ (* y (- (+ (* 16 (/ (- 1/4 (/ z y)) y)) (* 16 (/ (- (* 1/4 y) z) (pow y 2)))) (* 4 (/ 1 y)))) x)))))))) |
(* -64 (/ (pow x 3) (pow y 3))) |
(* (pow x 3) (- (* -64 (/ (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) x)) (* 64 (/ 1 (pow y 3))))) |
(* (pow x 3) (- (* -64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (pow x 2))) (+ (* 64 (/ 1 (pow y 3))) (* 64 (/ (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) x))))) |
(* (pow x 3) (- (* -1 (/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (pow x 3))) (+ (* 64 (/ 1 (pow y 3))) (+ (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (pow x 2))) (* 64 (/ (- (* 3/4 (/ 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 (/ (- 1/4 (/ z y)) (* x y))) (* 16 (/ (- (* 1/4 y) z) (* x (pow y 2)))))))) |
(* (pow x 2) (- (+ (* -1 (/ (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y)) (pow x 2))) (/ 4 (* x y))) (+ (* 16 (/ 1 (pow y 2))) (+ (* 16 (/ (- 1/4 (/ z y)) (* x y))) (* 16 (/ (- (* 1/4 y) z) (* x (pow y 2)))))))) |
(* 16 (/ x y)) |
(* x (- (+ (* 16 (/ (- 1/4 (/ z y)) x)) (* 16 (/ 1 y))) (* 4 (/ 1 x)))) |
(* 16 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (+ (* 16 (/ (- 1/4 (/ z y)) (* x y))) (+ (* 16 (/ (- (* 1/4 y) z) (* x (pow y 2)))) (* 16 (/ 1 (pow y 2))))) (/ 4 (* x y)))) |
(* (pow x 2) (- (+ (* 16 (/ (- 1/4 (/ z y)) (* x y))) (+ (* 16 (/ (- (* 1/4 y) z) (* x (pow y 2)))) (+ (/ 1 (pow x 2)) (+ (* 16 (/ 1 (pow y 2))) (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) (* (pow x 2) y)))))) (/ 4 (* x y)))) |
(/ (pow x 3) (pow y 3)) |
(* (pow x 3) (- (+ (/ 3/4 (* x (pow y 2))) (/ 1 (pow y 3))) (+ (* 2 (/ z (* x (pow y 3)))) (/ z (* x (pow y 3)))))) |
(* (pow x 3) (- (+ (/ 3/4 (* x (pow y 2))) (+ (/ 1 (pow y 3)) (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (* (pow x 2) (pow y 3))) (/ (pow (- (* 1/4 y) z) 2) (* (pow x 2) (pow y 3)))))) (+ (* 2 (/ z (* x (pow y 3)))) (/ z (* x (pow y 3)))))) |
(* (pow x 3) (- (+ (/ 3/4 (* x (pow y 2))) (+ (/ 1 (pow y 3)) (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (* (pow x 2) (pow y 3))) (+ (/ (pow (- (* 1/4 y) z) 2) (* (pow x 2) (pow y 3))) (/ (pow (- (* 1/4 y) z) 3) (* (pow x 3) (pow y 3))))))) (+ (* 2 (/ z (* x (pow y 3)))) (/ z (* x (pow y 3)))))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ z x) 1))) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
(* -1 (* x (- (* -1 (/ (- (* 4 (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3))))) (* -1/4 (* y (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y)))))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 4 (* (pow y 2) (+ (* -2 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))))) (+ (* -1/4 (* y (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y)))) (* 1/16 (* (pow y 2) (* (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y))) (- (* 4 (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3))))) (* -1/4 (* y (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y))))))))))) x)) (* 4 (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3)))))) (* -1/4 (* y (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y)))))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/16 (* (pow y 2) (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))))) (+ (* 1/16 (* (pow y 2) (* (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y)) (- (* 4 (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3))))) (* -1/4 (* y (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y))))))))) (* 1/16 (* (pow y 2) (* (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y))) (- (* 4 (* (pow y 2) (+ (* -2 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))))) (+ (* -1/4 (* y (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y)))) (* 1/16 (* (pow y 2) (* (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y))) (- (* 4 (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3))))) (* -1/4 (* y (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y)))))))))))))))) x)) (* 4 (* (pow y 2) (+ (* -2 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))))))) (+ (* -1/4 (* y (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y)))) (* 1/16 (* (pow y 2) (* (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y))) (- (* 4 (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3))))) (* -1/4 (* y (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y))))))))))) x)) (* 4 (* (pow y 2) (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3)))))) (* -1/4 (* y (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y)))))) x)) (* 4 (/ 1 y))))) |
(* -1 (* (pow x 3) (+ (* 64 (/ (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3))) x)) (* 64 (/ 1 (pow y 3)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 64 (/ (+ (* -2 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))) x)) (* 64 (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3))))) x)) (* 64 (/ 1 (pow y 3)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1 (/ (- (+ (* 64 (/ (pow (- (* 1/4 y) z) 3) (* x (pow y 3)))) (/ 1 x)) (* 64 (+ (* -2 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))))) x)) (* 64 (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3))))) x)) (* 64 (/ 1 (pow y 3)))))) |
(* (pow x 2) (- (+ (* -16 (/ (- (* 1/4 y) z) (* x (pow y 2)))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) (* x y)))) (* 16 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (* -1 (/ (- (+ (/ 1 x) (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) (* x y))) (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y)))) x)) (* 16 (/ 1 (pow y 2))))) |
(* -1 (* x (- (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) x)) (* 16 (/ 1 y))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y))) x)) (* 16 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (+ (* -1 (/ (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) y)) x)) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y)))) x)) (* 16 (/ 1 (pow y 2))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3)))) (/ z (pow y 3))) x)) (/ 1 (pow y 3))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 1/4 y) z) 2) (pow y 3)))) x)) (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3))))) (/ z (pow y 3))) x)) (/ 1 (pow y 3))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ (* -1 (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (* -1 (/ (pow (- (* 1/4 y) z) 3) (* x (pow y 3)))))) x)) (+ (* 1/4 (/ 1 (pow y 2))) (* 2 (/ (- (* 1/4 y) z) (pow y 3))))) (/ z (pow y 3))) x)) (/ 1 (pow y 3))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (- x z) y) |
(/ (+ (* 2 y) (* 4 x)) y) |
(/ 4 y) |
(/ (+ (* 4 (- x z)) (* y (- (* 4 (/ (+ (* 1/4 (pow (- x z) 2)) (* 1/2 (pow (- x z) 2))) (pow (- x z) 2))) 1))) y) |
(/ (+ (* 4 (- x z)) (* y (- (+ (* 4 (/ (+ (* 1/4 (pow (- x z) 2)) (* 1/2 (pow (- x z) 2))) (pow (- x z) 2))) (* y (- (* 4 (/ (+ (* 1/16 (- x z)) (* 1/8 (- x z))) (pow (- x z) 2))) (+ (* 1/4 (/ 1 (- x z))) (* 1/4 (/ (- (* 4 (/ (+ (* 1/4 (pow (- x z) 2)) (* 1/2 (pow (- x z) 2))) (pow (- x z) 2))) 1) (- x z))))))) 1))) y) |
(/ (+ (* 4 (- x z)) (* y (- (+ (* 4 (/ (+ (* 1/4 (pow (- x z) 2)) (* 1/2 (pow (- x z) 2))) (pow (- x z) 2))) (* y (- (+ (* 4 (/ (+ (* 1/16 (- x z)) (* 1/8 (- x z))) (pow (- x z) 2))) (* y (- (* 1/8 (/ 1 (pow (- x z) 2))) (+ (* 1/16 (/ (- (* 4 (/ (+ (* 1/4 (pow (- x z) 2)) (* 1/2 (pow (- x z) 2))) (pow (- x z) 2))) 1) (pow (- x z) 2))) (* 1/4 (/ (- (* 4 (/ (+ (* 1/16 (- x z)) (* 1/8 (- x z))) (pow (- x z) 2))) (+ (* 1/4 (/ 1 (- x z))) (* 1/4 (/ (- (* 4 (/ (+ (* 1/4 (pow (- x z) 2)) (* 1/2 (pow (- x z) 2))) (pow (- x z) 2))) 1) (- x z))))) (- x z))))))) (+ (* 1/4 (/ 1 (- x z))) (* 1/4 (/ (- (* 4 (/ (+ (* 1/4 (pow (- x z) 2)) (* 1/2 (pow (- x z) 2))) (pow (- x z) 2))) 1) (- x z))))))) 1))) y) |
(* -64 (/ (pow (- x z) 3) (pow y 3))) |
(/ (- (* -64 (* y (+ (* 1/4 (pow (- x z) 2)) (* 1/2 (pow (- x z) 2))))) (* 64 (pow (- x z) 3))) (pow y 3)) |
(/ (- (* y (- (* -64 (* y (+ (* 1/16 (- x z)) (* 1/8 (- x z))))) (* 64 (+ (* 1/4 (pow (- x z) 2)) (* 1/2 (pow (- x z) 2)))))) (* 64 (pow (- x z) 3))) (pow y 3)) |
(/ (- (* y (- (* y (- (* -2 y) (* 64 (+ (* 1/16 (- x z)) (* 1/8 (- x z)))))) (* 64 (+ (* 1/4 (pow (- x z) 2)) (* 1/2 (pow (- x z) 2)))))) (* 64 (pow (- x z) 3))) (pow y 3)) |
(* -16 (/ (pow (- x z) 2) (pow y 2))) |
(/ (- (* -4 (* y (- x z))) (* 16 (pow (- x z) 2))) (pow y 2)) |
(/ (- (* y (- (* -1 y) (* 4 (- x z)))) (* 16 (pow (- x z) 2))) (pow y 2)) |
(* 16 (/ (- x z) y)) |
(* 16 (/ (pow (- x z) 2) (pow y 2))) |
(/ (+ (* 4 (* y (- x z))) (* 16 (pow (- x z) 2))) (pow y 2)) |
(/ (+ (* 16 (pow (- x z) 2)) (* y (+ y (* 4 (- x z))))) (pow y 2)) |
(/ (pow (- x z) 3) (pow y 3)) |
(/ (+ (* y (+ (* 1/4 (pow (- x z) 2)) (* 1/2 (pow (- x z) 2)))) (pow (- x z) 3)) (pow y 3)) |
(/ (+ (* y (+ (* 1/4 (pow (- x z) 2)) (+ (* 1/2 (pow (- x z) 2)) (* y (+ (* 1/16 (- x z)) (* 1/8 (- x z))))))) (pow (- x z) 3)) (pow y 3)) |
(/ (+ (* y (+ (* 1/4 (pow (- x z) 2)) (+ (* 1/2 (pow (- x z) 2)) (* y (+ (* 1/64 y) (+ (* 1/16 (- x z)) (* 1/8 (- x z)))))))) (pow (- x z) 3)) (pow y 3)) |
(+ 2 (* 4 (/ (- x z) y))) |
(- (+ 2 (* 64 (/ (+ (* 1/16 (- x z)) (* 1/8 (- x z))) y))) (* 8 (/ (- x z) y))) |
(- (+ 2 (+ (* 64 (/ (+ (* 1/16 (- x z)) (* 1/8 (- x z))) y)) (* 64 (/ (+ (* 1/4 (pow (- x z) 2)) (* 1/2 (pow (- x z) 2))) (pow y 2))))) (+ (* 4 (/ (* (- x z) (- (* 64 (+ (* 1/16 (- x z)) (* 1/8 (- x z)))) (* 8 (- x z)))) (pow y 2))) (+ (* 8 (/ (- x z) y)) (* 32 (/ (pow (- x z) 2) (pow y 2)))))) |
(- (+ 2 (+ (* 64 (/ (+ (* 1/16 (- x z)) (* 1/8 (- x z))) y)) (+ (* 64 (/ (+ (* 1/4 (pow (- x z) 2)) (* 1/2 (pow (- x z) 2))) (pow y 2))) (* 64 (/ (pow (- x z) 3) (pow y 3)))))) (+ (* 4 (/ (* (- x z) (- (* 64 (+ (* 1/16 (- x z)) (* 1/8 (- x z)))) (* 8 (- x z)))) (pow y 2))) (+ (* 4 (/ (* (- x z) (- (* 64 (+ (* 1/4 (pow (- x z) 2)) (* 1/2 (pow (- x z) 2)))) (+ (* 4 (* (- x z) (- (* 64 (+ (* 1/16 (- x z)) (* 1/8 (- x z)))) (* 8 (- x z))))) (* 32 (pow (- x z) 2))))) (pow y 3))) (+ (* 8 (/ (- x z) y)) (+ (* 16 (/ (* (pow (- x z) 2) (- (* 64 (+ (* 1/16 (- x z)) (* 1/8 (- x z)))) (* 8 (- x z)))) (pow y 3))) (* 32 (/ (pow (- x z) 2) (pow y 2)))))))) |
-2 |
(- (* -64 (/ (+ (* 1/16 (- x z)) (* 1/8 (- x z))) y)) 2) |
(- (* -64 (/ (+ (* 1/4 (pow (- x z) 2)) (* 1/2 (pow (- x z) 2))) (pow y 2))) (+ 2 (* 64 (/ (+ (* 1/16 (- x z)) (* 1/8 (- x z))) y)))) |
(- (* -64 (/ (pow (- x z) 3) (pow y 3))) (+ 2 (+ (* 64 (/ (+ (* 1/16 (- x z)) (* 1/8 (- x z))) y)) (* 64 (/ (+ (* 1/4 (pow (- x z) 2)) (* 1/2 (pow (- x z) 2))) (pow y 2)))))) |
-1 |
(- (* -4 (/ (- x z) y)) 1) |
(- (* -16 (/ (pow (- x z) 2) (pow y 2))) (+ 1 (* 4 (/ (- x z) y)))) |
1 |
(+ 1 (* 4 (/ (- x z) y))) |
(+ 1 (+ (* 4 (/ (- x z) y)) (* 16 (/ (pow (- x z) 2) (pow y 2))))) |
1/64 |
(+ 1/64 (+ (* 1/16 (/ (- x z) y)) (* 1/8 (/ (- x z) y)))) |
(+ 1/64 (+ (* 1/16 (/ (- x z) y)) (+ (* 1/8 (/ (- x z) y)) (+ (* 1/4 (/ (pow (- x z) 2) (pow y 2))) (* 1/2 (/ (pow (- x z) 2) (pow y 2))))))) |
(+ 1/64 (+ (* 1/16 (/ (- x z) y)) (+ (* 1/8 (/ (- x z) y)) (+ (* 1/4 (/ (pow (- x z) 2) (pow y 2))) (+ (* 1/2 (/ (pow (- x z) 2) (pow y 2))) (/ (pow (- x z) 3) (pow y 3))))))) |
(+ 2 (* -1 (/ (- (* -64 (+ (* 1/16 (- x z)) (* 1/8 (- x z)))) (* -8 (- x z))) y))) |
(+ 2 (* -1 (/ (- (+ (* -64 (+ (* 1/16 (- x z)) (* 1/8 (- x z)))) (* -1 (/ (- (* -64 (+ (* -1/2 (pow (- x z) 2)) (* -1/4 (pow (- x z) 2)))) (+ (* -4 (* (- x z) (- (* -64 (+ (* 1/16 (- x z)) (* 1/8 (- x z)))) (* -8 (- x z))))) (* 32 (pow (- x z) 2)))) y))) (* -8 (- x z))) y))) |
(+ 2 (* -1 (/ (- (+ (* -64 (+ (* 1/16 (- x z)) (* 1/8 (- x z)))) (* -1 (/ (- (+ (* -64 (+ (* -1/2 (pow (- x z) 2)) (* -1/4 (pow (- x z) 2)))) (* -1 (/ (- (* -64 (pow (- x z) 3)) (+ (* -4 (* (- x z) (- (* -64 (+ (* -1/2 (pow (- x z) 2)) (* -1/4 (pow (- x z) 2)))) (+ (* -4 (* (- x z) (- (* -64 (+ (* 1/16 (- x z)) (* 1/8 (- x z)))) (* -8 (- x z))))) (* 32 (pow (- x z) 2)))))) (* 16 (* (pow (- x z) 2) (- (* -64 (+ (* 1/16 (- x z)) (* 1/8 (- x z)))) (* -8 (- x z))))))) y))) (+ (* -4 (* (- x z) (- (* -64 (+ (* 1/16 (- x z)) (* 1/8 (- x z)))) (* -8 (- x z))))) (* 32 (pow (- x z) 2)))) y))) (* -8 (- x z))) y))) |
(- (* -1 (/ (- (* -64 (/ (+ (* -1/2 (pow (- x z) 2)) (* -1/4 (pow (- x z) 2))) y)) (* -64 (+ (* 1/16 (- x z)) (* 1/8 (- x z))))) y)) 2) |
(- (* -1 (/ (- (* -1 (/ (- (* -64 (/ (pow (- x z) 3) y)) (* -64 (+ (* -1/2 (pow (- x z) 2)) (* -1/4 (pow (- x z) 2))))) y)) (* -64 (+ (* 1/16 (- x z)) (* 1/8 (- x z))))) y)) 2) |
(- (* -1 (/ (- (* 16 (/ (pow (- x z) 2) y)) (* -4 (- x z))) y)) 1) |
(+ 1 (* -1 (/ (+ (* -16 (/ (pow (- x z) 2) y)) (* -4 (- x z))) y))) |
(+ 1/64 (* -1 (/ (+ (* -1 (+ (* 1/16 (- x z)) (* 1/8 (- x z)))) (+ (* -1/2 (/ (pow (- x z) 2) y)) (* -1/4 (/ (pow (- x z) 2) y)))) y))) |
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(* 64 (/ (pow z 3) (pow y 3))) |
(* (pow z 3) (+ (* -64 (/ (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 1/4 y)) (pow y 3))) (/ x (pow y 3)))) z)) (* 64 (/ 1 (pow y 3))))) |
(* (pow z 3) (- (+ (* -64 (/ (+ (* -2 (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 1/4 y)) 2) (pow y 3)))) (pow z 2))) (* 64 (/ 1 (pow y 3)))) (* 64 (/ (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 1/4 y)) (pow y 3))) (/ x (pow y 3)))) z)))) |
(* (pow z 3) (- (+ (* -1 (/ (+ 1 (* 64 (/ (pow (+ x (* 1/4 y)) 3) (pow y 3)))) (pow z 3))) (* 64 (/ 1 (pow y 3)))) (+ (* 64 (/ (+ (* -2 (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 1/4 y)) 2) (pow y 3)))) (pow z 2))) (* 64 (/ (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 1/4 y)) (pow y 3))) (/ x (pow y 3)))) z))))) |
(* -16 (/ (pow z 2) (pow y 2))) |
(* (pow z 2) (- (* -1 (/ (+ (* -16 (/ (+ x (* 1/4 y)) (pow y 2))) (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) y))) z)) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) y)) (pow z 2))) (+ (* -16 (/ (+ x (* 1/4 y)) (* (pow y 2) z))) (+ (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) (* y z))) (* 16 (/ 1 (pow y 2))))))) |
(* -16 (/ z y)) |
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(* 16 (/ (pow z 2) (pow y 2))) |
(* (pow z 2) (+ (* -16 (/ (+ x (* 1/4 y)) (* (pow y 2) z))) (+ (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) (* y z))) (* 16 (/ 1 (pow y 2)))))) |
(* (pow z 2) (+ (* -16 (/ (+ x (* 1/4 y)) (* (pow y 2) z))) (+ (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) (* y z))) (+ (* 16 (/ 1 (pow y 2))) (+ (/ 1 (pow z 2)) (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) (* y (pow z 2)))))))) |
(* -1 (/ (pow z 3) (pow y 3))) |
(* (pow z 3) (- (+ (* 2 (/ (+ x (* 1/4 y)) (* (pow y 3) z))) (+ (/ 1/4 (* (pow y 2) z)) (/ x (* (pow y 3) z)))) (/ 1 (pow y 3)))) |
(* (pow z 3) (- (+ (* -2 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 3) (pow z 2)))) (+ (* -1 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 3) (pow z 2)))) (+ (* 2 (/ (+ x (* 1/4 y)) (* (pow y 3) z))) (+ (/ 1/4 (* (pow y 2) z)) (/ x (* (pow y 3) z)))))) (/ 1 (pow y 3)))) |
(* (pow z 3) (- (+ (* -2 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 3) (pow z 2)))) (+ (* -1 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 3) (pow z 2)))) (+ (* 2 (/ (+ x (* 1/4 y)) (* (pow y 3) z))) (+ (/ 1/4 (* (pow y 2) z)) (+ (/ x (* (pow y 3) z)) (/ (pow (+ x (* 1/4 y)) 3) (* (pow y 3) (pow z 3)))))))) (/ 1 (pow y 3)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
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(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
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(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (* 4 (* (pow y 2) (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))))) (+ (* 1/16 (* (pow y 2) (* (- (* 4 (* (pow y 2) (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/4 (/ 1 (pow y 2))) (/ x (pow y 3))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) (* 1/4 (* y (+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) y)))))) z)) (* 4 (* (pow y 2) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow y 3)))))))) (* 1/4 (* y (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y)))))) z)) (* 4 (/ 1 y))))) |
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(* -1 (* (pow z 3) (- (* 64 (/ (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow y 3))))) z)) (* 64 (/ 1 (pow y 3)))))) |
(* -1 (* (pow z 3) (- (* -1 (/ (- (* 64 (/ (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))) z)) (* 64 (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow y 3))))))) z)) (* 64 (/ 1 (pow y 3)))))) |
(* -1 (* (pow z 3) (- (* -1 (/ (- (* -1 (/ (- (+ (* 64 (/ (pow (+ x (* 1/4 y)) 3) (* (pow y 3) z))) (/ 1 z)) (* 64 (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))))) z)) (* 64 (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/2 (/ 1 (pow y 2))) (/ x (pow y 3))))))) z)) (* 64 (/ 1 (pow y 3)))))) |
(* (pow z 2) (- (* -1 (/ (- (* 4 (/ 1 y)) (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2))))) z)) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (* -1 (/ (- (+ (* 4 (/ 1 y)) (+ (/ 1 z) (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) (* y z)))) (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2))))) z)) (* 16 (/ 1 (pow y 2))))) |
(* -1 (* z (+ (* -1 (/ (- (* 16 (+ 1/4 (/ x y))) 4) z)) (* 16 (/ 1 y))))) |
(* (pow z 2) (+ (* -1 (/ (- (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2)))) (* 4 (/ 1 y))) z)) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (+ (* -1 (/ (- (+ (* -1 (/ (+ 1 (/ (* (+ x (* 1/4 y)) (- (* 16 (+ 1/4 (/ x y))) 4)) y)) z)) (+ (* 16 (/ (+ 1/4 (/ x y)) y)) (* 16 (/ (+ x (* 1/4 y)) (pow y 2))))) (* 4 (/ 1 y))) z)) (* 16 (/ 1 (pow y 2))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/4 (/ 1 (pow y 2))) (/ x (pow y 3))))) z)) (/ 1 (pow y 3))))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))) z)) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 1/2 (/ 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 (* 1/4 y)) 3) (* (pow y 3) z))) (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3)))) z)) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (/ x (pow y 3)))))) z)) (/ 1 (pow y 3))))) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 4 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 #s(literal 4 binary64) (+.f64 (/.f64 x y) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y)) #s(literal 1 binary64)) |
(+ 2 (* -4 (/ z y))) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) |
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(+.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64))) #s(literal 2 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) |
(* 4 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(/ x y) |
(/.f64 x y) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ x y))) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 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 1/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal -4 binary64)) y) #s(literal 1 binary64))) |
(+ (* 64 (/ (pow (- (* 1/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* x (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) |
(fma.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal -4 binary64)) y) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal -2 binary64) z)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal -4 binary64)) y) #s(literal 1 binary64))) #s(literal 64 binary64) (*.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 64 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) y) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) (/.f64 #s(literal -4 binary64) y)) (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal -4 binary64)) y) #s(literal 1 binary64)) #s(literal 2 binary64))))) x (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal -4 binary64)) y) #s(literal 1 binary64))))) |
(+ (* 64 (/ (pow (- (* 1/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* x (- (+ (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (* x (- (* 64 (/ (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ (* (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) |
(fma.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal -4 binary64)) y) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal -2 binary64) z)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal -4 binary64)) y) #s(literal 1 binary64))) #s(literal 64 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 y y)) (*.f64 #s(literal 3 binary64) (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal -4 binary64)) y) #s(literal 1 binary64))) #s(literal 64 binary64) (*.f64 #s(literal -16 binary64) (/.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 64 binary64) #s(literal 1 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal -4 binary64)) y) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 (fma.f64 (/.f64 #s(literal 32 binary64) y) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) (/.f64 #s(literal -4 binary64) y)) (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal -2 binary64) z)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal -4 binary64)) y) #s(literal 1 binary64))) #s(literal 64 binary64) (*.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 64 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) y) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) (/.f64 #s(literal -4 binary64) y)) (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal -4 binary64)) y) #s(literal 1 binary64)) #s(literal 2 binary64))))) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal -4 binary64)) y) #s(literal 1 binary64))))) x (*.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 64 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 32 binary64) y) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) (/.f64 #s(literal -4 binary64) y)) (pow.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal -4 binary64)) y) #s(literal 1 binary64)) #s(literal 2 binary64)))))) x (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal -4 binary64)) y) #s(literal 1 binary64))))) |
(+ (* 64 (/ (pow (- (* 1/4 y) z) 3) (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* x (- (+ (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (* x (- (+ (* 64 (/ (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (* x (- (* 64 (/ 1 (* (pow y 3) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (+ (* 16 (/ (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2))) (* (pow y 2) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) (/ (* (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (- (* 3/4 (/ 1 (pow y 2))) (+ (* 2 (/ z (pow y 3))) (/ z (pow y 3)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ (* (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))))) (+ (* 16 (/ (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (* (pow y 2) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ (* (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y))) (- (* 64 (/ (+ (/ (* (- (* 1/4 y) z) (- (* 1/2 y) (* 2 z))) (pow y 3)) (/ (pow (- (* 1/4 y) z) 2) (pow y 3))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))))) (/ (* (+ 1 (* 64 (/ (pow (- (* 1/4 y) z) 3) (pow y 3)))) (- (* 32 (/ (- (* 1/4 y) z) (pow y 2))) (* 4 (/ 1 y)))) (pow (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y)) 2)))) (/ 1 (+ 1 (/ (* (- (* 1/4 y) z) (- (* 16 (/ (- (* 1/4 y) z) y)) 4)) y))))) |
(fma.f64 (/.f64 #s(literal 64 binary64) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal -4 binary64)) y) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal -2 binary64) z)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (/.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal -4 binary64)) y) #s(literal 1 binary64))) #s(literal 64 binary64) (fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) (*.f64 y y)) (*.f64 #s(literal 3 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(* (pow x 2) (- (* -1 (/ (- (+ (/ 1 x) (/ (* (- (* 1/4 y) z) (- (* 16 (- 1/4 (/ z y))) 4)) (* x y))) (+ (* -16 (/ (- (* 1/4 y) z) (pow y 2))) (* -1 (/ (- (* 16 (- 1/4 (/ z y))) 4) y)))) x)) (* 16 (/ 1 (pow y 2))))) |
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(* 64 (/ (pow z 3) (pow y 3))) |
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(* (pow z 3) (- (+ (* -1 (/ (+ 1 (* 64 (/ (pow (+ x (* 1/4 y)) 3) (pow y 3)))) (pow z 3))) (* 64 (/ 1 (pow y 3)))) (+ (* 64 (/ (+ (* -2 (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))) (* -1 (/ (pow (+ x (* 1/4 y)) 2) (pow y 3)))) (pow z 2))) (* 64 (/ (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 2 (/ (+ x (* 1/4 y)) (pow y 3))) (/ x (pow y 3)))) z))))) |
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(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (* 1/4 (/ 1 (pow y 2))) (/ x (pow y 3))))) z)) (/ 1 (pow y 3))))) |
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (+.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) z))) (pow.f64 z #s(literal 3 binary64))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3))) z)) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (/ x (pow y 3)))))) z)) (/ 1 (pow y 3))))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) z)) z))) |
(* -1 (* (pow z 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ x (* 1/4 y)) 3) (* (pow y 3) z))) (+ (/ (* (+ x (* 1/4 y)) (+ (* 1/2 y) (* 2 x))) (pow y 3)) (/ (pow (+ x (* 1/4 y)) 2) (pow y 3)))) z)) (+ (* 1/4 (/ 1 (pow y 2))) (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 2 (/ x (pow y 3))) (/ x (pow y 3)))))) z)) (/ 1 (pow y 3))))) |
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 y y))) (/.f64 #s(literal 1/4 binary64) (*.f64 y y))) (/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) y x) (/.f64 (fma.f64 #s(literal 1/2 binary64) y (*.f64 #s(literal 2 binary64) x)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) z)) z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 230 |
| 0 | 63 | 224 |
| 1 | 299 | 224 |
| 2 | 2335 | 222 |
| 0 | 9066 | 213 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 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 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) |
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) z) y) #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 8 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)) (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 8 binary64)))) (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 8 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64))) (neg.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 8 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 8 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 8 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64)) (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 8 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)) (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 8 binary64)))) (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)) (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) #s(literal -4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 8 binary64)))) (fma.f64 (pow.f64 (/.f64 y (-.f64 x z)) #s(literal -3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64)))) |
(fma.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64)) (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(fma.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal -2 binary64)))) |
(+.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 z x) (-.f64 x z))) #s(literal -1 binary64)) (pow.f64 (+.f64 z x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 x z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 x z)) |
(*.f64 (neg.f64 (-.f64 x z)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (-.f64 x z) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(pow.f64 (/.f64 (/.f64 y (-.f64 x z)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (-.f64 x z)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (+.f64 z x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 x y) (/.f64 z y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x z)))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 z x) y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) 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 x y) (*.f64 y z))) (neg.f64 (*.f64 y y))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) z))) (neg.f64 (*.f64 (/.f64 y x) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (neg.f64 y)) (*.f64 y (neg.f64 z))) (*.f64 y (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) y) (*.f64 y z)) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y z)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y z))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 z))) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) y) (*.f64 (neg.f64 (neg.f64 y)) z)) (*.f64 (neg.f64 (neg.f64 y)) y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (/.f64 y z)) (*.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 y)) (/.f64 y z))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 (neg.f64 y) (neg.f64 z))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 y z)) (*.f64 (neg.f64 y) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (/.f64 y z))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 y)) (*.f64 (neg.f64 (/.f64 y x)) (neg.f64 z))) (*.f64 (neg.f64 (/.f64 y x)) (neg.f64 y))) |
(/.f64 (-.f64 (neg.f64 y) (*.f64 (neg.f64 (/.f64 y x)) z)) (*.f64 (neg.f64 (/.f64 y x)) y)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (neg.f64 (/.f64 y x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 y x)) (/.f64 y z))) |
(/.f64 (-.f64 (*.f64 x (neg.f64 y)) (*.f64 y (neg.f64 z))) (*.f64 y (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 x (/.f64 y z)) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y z))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) (neg.f64 z))) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) z)) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y z))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 y x) (neg.f64 z))) (*.f64 (/.f64 y x) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (/.f64 y x) #s(literal 1 binary64))) (*.f64 (/.f64 y x) (/.f64 y z))) |
(/.f64 (-.f64 (neg.f64 x) (neg.f64 z)) (neg.f64 y)) |
(/.f64 (-.f64 (*.f64 x #s(literal 1 binary64)) z) y) |
(/.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (pow.f64 y #s(literal -1 binary64))) (+.f64 z x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) (fma.f64 z (+.f64 z x) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64)) y) |
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (+.f64 (/.f64 x y) (/.f64 z y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y x) #s(literal -3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 x y) (/.f64 z y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z))) (neg.f64 (*.f64 y (+.f64 z x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (*.f64 y (fma.f64 z (+.f64 z x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 x z))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) #s(literal 1 binary64)) (*.f64 (+.f64 z x) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) y)) |
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(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))) (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64)))) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 y (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)))) (neg.f64 y)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))) #s(literal 3 binary64))) (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64))) (neg.f64 (/.f64 y (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))))) |
(/.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) (pow.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y (+.f64 z x)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 z (fma.f64 #s(literal 1/4 binary64) y (+.f64 z x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) #s(literal 2 binary64)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) (/.f64 z y)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) #s(literal 3 binary64)) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y x) y) (/.f64 z y)))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y (+.f64 z x)) y) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y (+.f64 z x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))) y) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/4 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 (fma.f64 #s(literal 1/4 binary64) y x) y) (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))) (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64))) y) |
(/.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)))) (neg.f64 y)) |
(/.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)))) |
(/.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))) y) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) (*.f64 z z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (fma.f64 #s(literal 1/4 binary64) y (+.f64 z x))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y (+.f64 z x)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y (-.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) |
(/.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))) #s(literal 3 binary64)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (/.f64 y (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 y (fma.f64 #s(literal 1/4 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 1/4 binary64) y (-.f64 x z))) #s(literal 3 binary64))) |
(neg.f64 (pow.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z))) y) #s(literal 3 binary64))) |
(neg.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) (neg.f64 y)) #s(literal 3 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y (-.f64 x z)) y)) #s(literal 3/2 binary64) (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y)) #s(literal 3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/4 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 1/4 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 1/4 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 1/4 binary64) y (-.f64 x z)) y)) #s(literal 3 binary64))) |
Compiled 38 178 to 3 478 computations (90.9% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 654 | 3 | 657 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 658 | 7 | 665 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.4% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))) |
| ▶ | 98.8% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))) |
| ▶ | 68.1% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
| ▶ | 66.8% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
| ▶ | 35.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
| ✓ | 37.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
| ✓ | 35.2% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
Compiled 242 to 202 computations (16.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (*.f64 (/.f64 z y) #s(literal -4 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))) | |
| cost-diff | 704 | (-.f64 (/.f64 x y) (/.f64 z y)) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 188 |
| 0 | 42 | 182 |
| 1 | 73 | 182 |
| 2 | 115 | 182 |
| 3 | 191 | 182 |
| 4 | 332 | 172 |
| 5 | 659 | 157 |
| 6 | 1891 | 157 |
| 7 | 5127 | 157 |
| 0 | 8237 | 157 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))) |
(fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 x y) |
x |
y |
(/.f64 z y) |
z |
#s(literal 4 binary64) |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(/.f64 z y) |
z |
y |
#s(literal -4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
#s(literal -4 binary64) |
(/.f64 z y) |
z |
y |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 4 binary64) |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 binary64))) |
(fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (-.f64 z x) y) #s(literal -4 binary64) #s(literal 2 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) |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) (/.f64 z y)) |
(/.f64 z y) |
z |
y |
#s(literal -4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)) |
#s(literal -4 binary64) |
(/.f64 z y) |
z |
y |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(/.f64 x y) |
x |
y |
#s(literal 4 binary64) |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | 21.225507569015125 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) | |
| accuracy | 0 | (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 19.57801067760147 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 0.01171875 | (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) | |
| accuracy | 20.442073226323533 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 0.021816259768442016 | (*.f64 (/.f64 z y) #s(literal -4 binary64)) | |
| accuracy | 41.59801130429515 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))) | |
| accuracy | 0.7617125574906174 | (-.f64 (/.f64 x y) (/.f64 z y)) |
| 75.0ms | 256× | 0 | valid |
Compiled 342 to 59 computations (82.7% saved)
ival-sub: 36.0ms (60.2% of total)ival-mult: 10.0ms (16.7% of total)ival-div: 7.0ms (11.7% of total)ival-add: 5.0ms (8.4% of total)exact: 1.0ms (1.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 x y) (/.f64 z y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))) |
(fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)) |
(/.f64 x y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(/.f64 z y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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) |
| Outputs |
|---|
(* -1 (/ z y)) |
(- (/ x y) (/ z y)) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 2 (* -4 (/ z y))) |
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(/ x y) |
2 |
(+ 2 (* 4 (/ x y))) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(+ (* -1 (/ z y)) (/ x y)) |
(* -1 z) |
(- x z) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* -1 (* x (- (/ z x) 1))) |
(/ (- x z) y) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ z y) |
(/ (+ (* -4 z) (* 2 y)) y) |
(/ (+ (* 2 y) (* 4 x)) y) |
(+ 2 (* 4 (/ (- x z) y))) |
(* -1 (/ (- (* -1 x) (* -1 z)) y)) |
(+ 2 (* -4 (/ (- (* -1 x) (* -1 z)) y))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ x (* -1 z)) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y)))) |
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* z (- (/ x z) 1)) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z))))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | x | @ | 0 | ((- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (- (/ x y) (/ z y)) 4) 2) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* -4 (/ z y)) 2) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ x y) 4) 2) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z)) |
| 2.0ms | y | @ | -inf | ((- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (- (/ x y) (/ z y)) 4) 2) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* -4 (/ z y)) 2) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ x y) 4) 2) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z)) |
| 2.0ms | z | @ | inf | ((- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (- (/ x y) (/ z y)) 4) 2) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* -4 (/ z y)) 2) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ x y) 4) 2) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z)) |
| 2.0ms | y | @ | 0 | ((- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (- (/ x y) (/ z y)) 4) 2) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* -4 (/ z y)) 2) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ x y) 4) 2) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z)) |
| 2.0ms | y | @ | inf | ((- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (- (/ x y) (/ z y)) 4) 2) (/ x y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* -4 (/ z y)) 2) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ x y) 4) 2) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (/ (- x z) y) (- x z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 155 | 444 |
| 1 | 459 | 444 |
| 2 | 1311 | 326 |
| 3 | 4134 | 326 |
| 4 | 7237 | 326 |
| 0 | 8226 | 302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ z y)) |
(- (/ x y) (/ z y)) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(+ 2 (* -4 (/ z y))) |
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(/ x y) |
2 |
(+ 2 (* 4 (/ x y))) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(+ (* -1 (/ z y)) (/ x y)) |
(* -1 z) |
(- x z) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* -1 (* x (- (/ z x) 1))) |
(/ (- x z) y) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ z y) |
(/ (+ (* -4 z) (* 2 y)) y) |
(/ (+ (* 2 y) (* 4 x)) y) |
(+ 2 (* 4 (/ (- x z) y))) |
(* -1 (/ (- (* -1 x) (* -1 z)) y)) |
(+ 2 (* -4 (/ (- (* -1 x) (* -1 z)) y))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ x (* -1 z)) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y)))) |
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* z (- (/ x z) 1)) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z))))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
| Outputs |
|---|
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(- (/ x y) (/ z y)) |
(/.f64 (-.f64 x z) y) |
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 2 (* -4 (/ z y))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
(+ 2 (+ (* -4 (/ z y)) (* 4 (/ x y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(/ x y) |
(/.f64 x y) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ x y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(* -4 (/ z y)) |
(*.f64 #s(literal -4 binary64) (/.f64 z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(/.f64 (-.f64 x z) y) |
(* 4 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(/.f64 (-.f64 x z) y) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)) |
(* -1 (* x (- (/ z x) 1))) |
(-.f64 x z) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(* 4 (/ (- x z) y)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) y)) y) |
(/ z y) |
(/.f64 z y) |
(/ (+ (* -4 z) (* 2 y)) y) |
(/.f64 (fma.f64 #s(literal -4 binary64) z (*.f64 #s(literal 2 binary64) y)) y) |
(/ (+ (* 2 y) (* 4 x)) y) |
(/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 #s(literal 4 binary64) x)) y) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -1 (/ (- (* -1 x) (* -1 z)) y)) |
(/.f64 (-.f64 x z) y) |
(+ 2 (* -4 (/ (- (* -1 x) (* -1 z)) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(+ x (* -1 z)) |
(-.f64 x z) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(/.f64 (-.f64 x z) y) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y)))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)) |
(* z (- (/ x z) 1)) |
(-.f64 x z) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(/.f64 (-.f64 x z) y) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z))))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x)) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(-.f64 x z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 159 |
| 0 | 42 | 153 |
| 1 | 189 | 153 |
| 2 | 1642 | 153 |
| 0 | 8902 | 143 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x y) (/.f64 z y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))) |
(fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64)) |
(/.f64 x y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(/.f64 z y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
(fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) (+.f64 z x))) |
(*.f64 (/.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) y) (/.f64 (-.f64 x z) (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (pow.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 x z) y) (+.f64 z x))) |
(*.f64 (pow.f64 (/.f64 y (*.f64 (+.f64 z x) (-.f64 x z))) #s(literal -1 binary64)) (pow.f64 (+.f64 z x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (*.f64 y y)) (pow.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 x z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 x z)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 x z)) (pow.f64 (neg.f64 y) #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))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(pow.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (*.f64 y y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 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 (/.f64 y (-.f64 x z)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (-.f64 x z)) #s(literal -1 binary64)) |
(/.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 (*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (+.f64 z x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x z) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (*.f64 y y)))) (neg.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 z y) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 x z)))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)))) (neg.f64 (neg.f64 (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 x z)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 z x) y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) 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) (/.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 (neg.f64 x) y) (*.f64 (neg.f64 y) z))) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.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 y z) (*.f64 (/.f64 y x) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 y x) (/.f64 y z)))) |
(/.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 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)))) |
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(-.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 y z)) (*.f64 (neg.f64 y) (/.f64 y z))) (/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 y z)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) y)) (/.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 y) y))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (/.f64 y x) (neg.f64 y))) (/.f64 (*.f64 (/.f64 y x) (neg.f64 z)) (*.f64 (/.f64 y x) (neg.f64 y)))) |
(-.f64 (/.f64 (/.f64 y z) (*.f64 (/.f64 y x) (/.f64 y z))) (/.f64 (*.f64 (/.f64 y x) #s(literal 1 binary64)) (*.f64 (/.f64 y x) (/.f64 y z)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 y x) y)) (/.f64 (*.f64 (/.f64 y x) z) (*.f64 (/.f64 y x) y))) |
(-.f64 (/.f64 (*.f64 x (neg.f64 y)) (*.f64 y (neg.f64 y))) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 y)))) |
(-.f64 (/.f64 (*.f64 x (/.f64 y z)) (*.f64 y (/.f64 y z))) (/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 y (/.f64 y z)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 y (+.f64 z x))) (/.f64 (*.f64 z z) (*.f64 y (+.f64 z x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y (fma.f64 z (+.f64 z x) (*.f64 x x)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 y (fma.f64 z (+.f64 z x) (*.f64 x x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 z x)) y) (/.f64 (/.f64 (*.f64 z z) (+.f64 z x)) y)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) y) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (-.f64 x z) (neg.f64 y))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x))) (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 z x)))) |
(-.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 z x)) (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 z x)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (/.f64 y y) (/.f64 x y)) (*.f64 (/.f64 y y) (/.f64 z y))) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 x z))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (neg.f64 z) y) (/.f64 x y)) |
(+.f64 (/.f64 x y) (/.f64 (neg.f64 z) y)) |
(*.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)) |
(pow.f64 (/.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 x x) (*.f64 (neg.f64 z) x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z)))) (neg.f64 (neg.f64 (+.f64 z x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 z x)) (*.f64 (+.f64 z x) (*.f64 z z))) (*.f64 (+.f64 z x) (+.f64 z x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z))) (neg.f64 (-.f64 x (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (-.f64 x z))) (neg.f64 (+.f64 z x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (-.f64 x (neg.f64 z))) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (+.f64 z x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1 binary64) z x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 x (neg.f64 z)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 z z) (+.f64 z x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(-.f64 x z) |
(+.f64 (neg.f64 z) x) |
(+.f64 x (neg.f64 z)) |
Compiled 14 902 to 1 863 computations (87.5% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 489 | 0 | 489 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 489 | 7 | 496 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 69.4% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))) |
| ✓ | 98.8% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))) |
| ✓ | 68.1% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
| ✓ | 66.8% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
| ✓ | 35.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
| ✓ | 37.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
| ✓ | 35.2% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
Compiled 390 to 180 computations (53.8% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 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 1/4 binary64) y x) z) y) (-.f64 (*.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 16 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))) |
5 calls:
| 12.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 7.0ms | x |
| 5.0ms | y |
| 4.0ms | z |
| 4.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 100.0% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
Compiled 27 to 31 computations (-14.8% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
5 calls:
| 5.0ms | 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 1/4 binary64))) z)) y)) |
| 3.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.0% | 3 | x |
| 89.1% | 3 | y |
| 88.7% | 3 | z |
| 99.7% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 99.7% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
Compiled 27 to 31 computations (-14.8% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))) |
3 calls:
| 8.0ms | x |
| 3.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 3.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.5% | 3 | x |
| 74.6% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 74.6% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
Compiled 25 to 25 computations (0% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 3 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
3 calls:
| 3.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| 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 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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 1/4 binary64))) z)) y) |
| 2.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.0% | 5 | z |
| 61.8% | 5 | y |
| 75.4% | 6 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 75.4% | 6 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 63.3% | 4 | x |
Compiled 27 to 31 computations (-14.8% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
2 calls:
| 18.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 2.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.3% | 6 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 75.3% | 6 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
Compiled 24 to 22 computations (8.3% saved)
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
2 calls:
| 1.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 1.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 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 1/4 binary64))) z)) y)) |
| 67.0% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 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 1/4)) z)) y)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
5 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 1.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 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 1/4 binary64))) z)) y)) |
| 35.2% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
Compiled 27 to 31 computations (-14.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.4668714442355983 | 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 |
|---|---|---|
| 46.0ms | 57230096604181096.0 | 2.5028223254015427e+31 |
| 14.0ms | -5.353391787176089e+125 | -3.644252364006908e+119 |
| 48.0ms | 304× | 0 | valid |
Compiled 776 to 702 computations (9.5% saved)
ival-mult: 4.0ms (37.3% of total)ival-add: 3.0ms (28% of total)ival-div: 2.0ms (18.6% of total)ival-sub: 1.0ms (9.3% 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 |
|---|---|---|
| 1.0ms | 57230096604181096.0 | 2.5028223254015427e+31 |
| 5.0ms | -5.353391787176089e+125 | -3.644252364006908e+119 |
Compiled 776 to 702 computations (9.5% saved)
| 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-div: 1.0ms (25.3% of total)ival-add: 1.0ms (25.3% of total)ival-mult: 1.0ms (25.3% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 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 | -17.4100138793401 | 0.9999948645202872 |
| 0.0ms | -3.061915416315872e+139 | -4.843177728956696e+130 |
Compiled 16 to 18 computations (-12.5% saved)
| 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 | -17.4100138793401 | 0.9999948645202872 |
| 0.0ms | -3.061915416315872e+139 | -4.843177728956696e+130 |
Compiled 16 to 18 computations (-12.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.4668714442355983 | 1.9495550142936205e+23 |
| 0.0ms | -17.4100138793401 | 0.9999948645202872 |
Compiled 16 to 18 computations (-12.5% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 770 |
| 1 | 96 | 770 |
| 2 | 101 | 770 |
| 3 | 103 | 770 |
| 4 | 104 | 770 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -100000000000000004764729344 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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 1/4 binary64))) z)) y) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 400000000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -449999999999999997308681950300087188680719798884392920375445460536620676860712234773193154961829820082200254884330304700416 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (if (<=.f64 x #s(literal 400000000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -539999999999999967413636055687189277798356298794558662254502691289946428391717537575218972021590240802402826051587577741312 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 38000000000000001102476249825447664788184765651439271908611194880 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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 1/4 binary64))) z)) y) #s(literal -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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 1/4 binary64))) z)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 199999999999999983222784 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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 1/4 binary64))) z)) y) #s(literal 99999999999999997374062707399103193390970327051935144057886852787877127050853725394623645022622268104986814019040754458979257737456796162759919727807229498567311142603806310797883499542489243201826933949562808949044795771481474727936 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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 1/4 binary64))) z)) y) #s(literal -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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 1/4 binary64))) z)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 199999999999999983222784 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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 1/4 binary64))) z)) y) #s(literal 99999999999999997374062707399103193390970327051935144057886852787877127050853725394623645022622268104986814019040754458979257737456796162759919727807229498567311142603806310797883499542489243201826933949562808949044795771481474727936 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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 1/4 binary64))) z)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))) |
(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -100000000000000004764729344 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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 1/4 binary64))) z)) y) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -100000000000000004764729344 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))) (if (<=.f64 x #s(literal 400000000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -449999999999999997308681950300087188680719798884392920375445460536620676860712234773193154961829820082200254884330304700416 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) (if (<=.f64 x #s(literal 400000000000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -539999999999999967413636055687189277798356298794558662254502691289946428391717537575218972021590240802402826051587577741312 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 38000000000000001102476249825447664788184765651439271908611194880 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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 1/4 binary64))) z)) y) #s(literal -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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 1/4 binary64))) z)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 199999999999999983222784 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 99999999999999998278261272554585856747747644714015897553975120217811154108416 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) 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 1/4 binary64))) z)) y) #s(literal 99999999999999997374062707399103193390970327051935144057886852787877127050853725394623645022622268104986814019040754458979257737456796162759919727807229498567311142603806310797883499542489243201826933949562808949044795771481474727936 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 z y) #s(literal -4 binary64))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64)))))))) |
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(if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)))) |
(if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal -10 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) (if (<=.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) y) x) z) #s(literal 4 binary64)) y) #s(literal 4 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1229 | 11424 |
| 1 | 4103 | 11321 |
| 0 | 8567 | 10440 |
| 0 | 120 | 423 |
| 1 | 360 | 410 |
| 2 | 963 | 335 |
| 3 | 3620 | 321 |
| 0 | 8458 | 283 |
| 0 | 39 | 230 |
| 0 | 63 | 224 |
| 1 | 299 | 224 |
| 2 | 2335 | 222 |
| 0 | 9066 | 213 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 831 to 185 computations (77.7% saved)
Compiled 1 566 to 194 computations (87.6% saved)
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