
Time bar (total: 7.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 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)
| 856.0ms | 8 256× | 0 | valid |
ival-mult: 258.0ms (47.7% of total)ival-div: 116.0ms (21.4% of total)ival-add: 95.0ms (17.6% of total)ival-sub: 49.0ms (9.1% of total)exact: 11.0ms (2% of total)ival-true: 6.0ms (1.1% of total)adjust: 3.0ms (0.6% of total)ival-assert: 3.0ms (0.6% 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 |
| 51.0ms | 512× | 0 | valid |
Compiled 125 to 40 computations (68% saved)
ival-mult: 20.0ms (61.1% of total)ival-add: 5.0ms (15.3% of total)ival-div: 4.0ms (12.2% of total)ival-sub: 2.0ms (6.1% of total)exact: 1.0ms (3.1% of total)ival-true: 0.0ms (0% of total)adjust: 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 | 127 |
| 1 | 116 | 121 |
| 2 | 303 | 121 |
| 3 | 838 | 121 |
| 4 | 2406 | 85 |
| 5 | 5687 | 81 |
| 0 | 12 | 13 |
| 0 | 18 | 13 |
| 1 | 31 | 13 |
| 2 | 64 | 13 |
| 3 | 138 | 13 |
| 4 | 353 | 9 |
| 5 | 1035 | 9 |
| 6 | 2495 | 9 |
| 7 | 6206 | 9 |
| 0 | 8097 | 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 | 1 | (+.f64 x (*.f64 y #s(literal 1/4 binary64))) | |
| cost-diff | 2 | (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) | |
| cost-diff | 2 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 54 |
| 0 | 18 | 54 |
| 1 | 31 | 54 |
| 2 | 64 | 54 |
| 3 | 138 | 54 |
| 4 | 353 | 46 |
| 5 | 1035 | 46 |
| 6 | 2495 | 46 |
| 7 | 6206 | 46 |
| 0 | 8097 | 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) |
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y) |
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) |
(fma.f64 (-.f64 x z) #s(literal 4 binary64) 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 | 0.0 | (*.f64 y #s(literal 1/4 binary64)) | |
| accuracy | 0.0 | (*.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) | |
| accuracy | 0.01171875 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 22.0ms | 256× | 0 | valid |
Compiled 56 to 14 computations (75% saved)
ival-mult: 5.0ms (44.9% of total)ival-div: 2.0ms (17.9% of total)ival-add: 2.0ms (17.9% of total)ival-sub: 1.0ms (9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 #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)) |
(+.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 |
|---|
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* 4 (- (* 1/4 y) z)) |
(+ (* 4 x) (* 4 (- (* 1/4 y) z))) |
(* 1/4 y) |
(+ x (* 1/4 y)) |
(* 4 (/ (- (* 1/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* 4 x) |
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) |
x |
(* x (+ 1 (* 1/4 (/ y x)))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) |
(* -1 (* x (- (* -1/4 (/ y x)) 1))) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(* 4 (- x z)) |
(+ y (* 4 (- x z))) |
(/ (+ y (* 4 (- x z))) y) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
y |
(* y (+ 1 (* 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))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(* 4 (+ x (* 1/4 y))) |
(+ (* -4 z) (* 4 (+ x (* 1/4 y)))) |
(* 4 (/ (+ x (* 1/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 z) |
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z))))) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | x | @ | -inf | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* 4 (- (+ x (* y 1/4)) z)) (+ x (* y 1/4)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* y 1/4)) |
| 2.0ms | z | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* 4 (- (+ x (* y 1/4)) z)) (+ x (* y 1/4)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* y 1/4)) |
| 1.0ms | y | @ | 0 | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* 4 (- (+ x (* y 1/4)) z)) (+ x (* y 1/4)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* y 1/4)) |
| 1.0ms | x | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* 4 (- (+ x (* y 1/4)) z)) (+ x (* y 1/4)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* y 1/4)) |
| 1.0ms | y | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* 4 (- (+ x (* y 1/4)) z)) (+ 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 | 471 |
| 1 | 387 | 431 |
| 2 | 1189 | 398 |
| 3 | 4983 | 390 |
| 0 | 8286 | 360 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(+ 1 (+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y)))) |
(* 4 (- (* 1/4 y) z)) |
(+ (* 4 x) (* 4 (- (* 1/4 y) z))) |
(* 1/4 y) |
(+ x (* 1/4 y)) |
(* 4 (/ (- (* 1/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(* 4 (/ x y)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* 4 x) |
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) |
x |
(* x (+ 1 (* 1/4 (/ y x)))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) |
(* -1 (* x (- (* -1/4 (/ y x)) 1))) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(* 4 (- x z)) |
(+ y (* 4 (- x z))) |
(/ (+ y (* 4 (- x z))) y) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
y |
(* y (+ 1 (* 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))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(* 4 (+ x (* 1/4 y))) |
(+ (* -4 z) (* 4 (+ x (* 1/4 y)))) |
(* 4 (/ (+ x (* 1/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(* -4 (/ z y)) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* -4 z) |
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z))))) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) #s(literal 4 binary64) #s(literal 1 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)) |
(* 4 (- (* 1/4 y) z)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 4 binary64)) |
(+ (* 4 x) (* 4 (- (* 1/4 y) z))) |
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y) |
(* 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 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) #s(literal 4 binary64)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) 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) x (neg.f64 (fma.f64 #s(literal -4 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) #s(literal -1 binary64)))) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x) #s(literal 4 binary64) #s(literal 4 binary64)) x) |
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)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x) #s(literal 4 binary64) #s(literal 4 binary64)) y) x) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x (neg.f64 (fma.f64 #s(literal -4 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) #s(literal -1 binary64)))) |
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x)) #s(literal 4 binary64))) |
(* -1 (* x (- (* -1/4 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 y x)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x) #s(literal 4 binary64) #s(literal 4 binary64)) y) x) |
(* 4 (/ (- x z) y)) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 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) |
(/ (+ y (* 4 (- x z))) y) |
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) 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 |
(* y (+ 1 (* 4 (/ (- x z) y)))) |
(fma.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64)) #s(literal 1 binary64) y) |
(* y (+ 1/4 (/ x y))) |
(fma.f64 #s(literal 1/4 binary64) y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 4 (/ (- x z) y))) |
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal -4 binary64)) #s(literal 1 binary64))) |
(* -1 (* y (- (* -1 (/ x y)) 1/4))) |
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1/4 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 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(* 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) |
(* 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))) |
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y) |
(* -4 (/ z y)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -2 binary64)) z)) z) |
(* -4 z) |
(*.f64 #s(literal -4 binary64) z) |
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x y) z) #s(literal 4 binary64)) z) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x y) z) #s(literal -4 binary64)) y) z) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x #s(literal -2 binary64)) z)) z) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x y) z) #s(literal -4 binary64)) z) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x y) z) #s(literal -4 binary64)) y) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 41 |
| 0 | 18 | 41 |
| 1 | 71 | 41 |
| 2 | 561 | 41 |
| 0 | 8360 | 36 |
| 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)) |
(*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) |
(+.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 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) (fma.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 (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) (pow.f64 (*.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 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.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))))) |
(*.f64 (/.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 (pow.f64 (*.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 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.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))) (-.f64 (*.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)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)))) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 4 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.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)) #s(literal -1 binary64)) (pow.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)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 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 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 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 (pow.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)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 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 (pow.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y)) #s(literal 3 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 (pow.f64 (pow.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)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 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))) #s(literal 3 binary64))) (fma.f64 (pow.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)) #s(literal -1 binary64)) (pow.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)) #s(literal -1 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 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 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 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 (pow.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)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 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 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y)))) |
(/.f64 (neg.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)))) (neg.f64 (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 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #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 (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 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 binary64)))) (*.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 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 4 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 2 binary64)) #s(literal 16 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 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 (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 6 binary64))) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 3 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 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y))) |
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(/.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 (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))) (/.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)) (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)) y) |
(/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal -1/4 binary64) y x) z) y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 4 binary64)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) (-.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x) (*.f64 x x)) y)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) #s(literal 4 binary64)) (*.f64 (neg.f64 (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x))) y)) |
(/.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)) (*.f64 (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)))) y)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) y)) |
(/.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 (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))) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (neg.f64 z) z (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)))) (*.f64 (+.f64 z (fma.f64 #s(literal 1/4 binary64) y x)) y)) |
(/.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 (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))) y)) |
(/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z)) (neg.f64 y)) |
(/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) |
(neg.f64 (*.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y))) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 4 binary64))) |
(fma.f64 #s(literal 4 binary64) (/.f64 x y) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y))) |
(+.f64 (*.f64 (/.f64 x y) #s(literal 4 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 4 binary64))) |
(+.f64 (*.f64 #s(literal 4 binary64) (/.f64 x y)) (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y))) |
(+.f64 (/.f64 (*.f64 x #s(literal 4 binary64)) y) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 4 binary64)) y)) |
(+.f64 (/.f64 (*.f64 #s(literal 4 binary64) x) y) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) y) z)) y)) |
(*.f64 #s(literal 1/4 binary64) y) |
(*.f64 y #s(literal 1/4 binary64)) |
(neg.f64 (*.f64 #s(literal -1/4 binary64) y)) |
Compiled 8 135 to 1 115 computations (86.3% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 233 | 11 | 244 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 234 | 11 | 245 |
| Status | Accuracy | Program |
|---|---|---|
| 30.9% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64))) | |
| 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) | |
| ▶ | 41.7% | (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) y)) |
| 42.2% | (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal -4 binary64) z)) y)) | |
| ▶ | 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))) |
| 98.7% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x (neg.f64 (fma.f64 #s(literal -4 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) #s(literal -1 binary64))))) | |
| 67.2% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) | |
| ▶ | 68.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
| ▶ | 36.7% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
| 37.1% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) | |
| ▶ | 32.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
Compiled 448 to 368 computations (17.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 4 binary64) x) | |
| cost-diff | 0 | #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) y) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) y)) | |
| 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 | (*.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 | 27 | 181 |
| 0 | 36 | 181 |
| 1 | 61 | 181 |
| 2 | 98 | 181 |
| 3 | 178 | 181 |
| 4 | 398 | 155 |
| 5 | 1057 | 155 |
| 6 | 1540 | 155 |
| 7 | 2310 | 155 |
| 8 | 3017 | 155 |
| 9 | 3578 | 155 |
| 10 | 4203 | 155 |
| 11 | 5004 | 155 |
| 12 | 7023 | 155 |
| 0 | 8207 | 152 |
| 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)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
#s(literal 4 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) y)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) y) |
#s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) |
(*.f64 #s(literal 4 binary64) x) |
#s(literal 4 binary64) |
x |
y |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 z x) #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)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
#s(literal 4 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) y)) |
(+.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) y) |
(/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) |
#s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) |
#s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) x) |
(*.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
x |
y |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal 4 binary64) x) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) y) | |
| accuracy | 0.01171875 | (+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) y)) | |
| accuracy | 41.448142135215704 | #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) | |
| accuracy | 0.0 | (-.f64 x z) | |
| accuracy | 0.0 | (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 x z) y) | |
| accuracy | 20.098639654199353 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) | |
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.006191259768442017 | (*.f64 (/.f64 x y) #s(literal 4 binary64)) | |
| accuracy | 40.48571465275298 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) | |
| accuracy | 43.11603531788539 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (-.f64 x z) | |
| accuracy | 0.0 | #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 | 0.0078125 | (fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 x z) y) |
| 130.0ms | 256× | 0 | valid |
Compiled 147 to 22 computations (85% saved)
ival-div: 64.0ms (55.7% of total)ival-add: 40.0ms (34.8% of total)ival-mult: 8.0ms (7% of total)ival-sub: 2.0ms (1.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 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)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) y)) |
(/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) y) |
#s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) |
(*.f64 #s(literal 4 binary64) x) |
| 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) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(* 4 (/ (- (* 1/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(* 4 (- (* 1/4 y) z)) |
(+ (* 4 x) (* 4 (- (* 1/4 y) z))) |
(* 4 x) |
(* 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 (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) |
(* -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))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (- x z) y) |
(/ (+ y (* 4 (- x z))) y) |
(* 4 (- x z)) |
(+ y (* 4 (- x z))) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
1 |
(+ 1 (* 4 (/ (- x z) y))) |
y |
(* y (+ 1 (* 4 (/ (- x z) y)))) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 1))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 2 (* 4 (/ x y))) |
(+ x (* -1 z)) |
(* 4 (/ (+ x (* 1/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(* 4 (+ x (* 1/4 y))) |
(+ (* -4 z) (* 4 (+ x (* 1/4 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 (- (/ x (* y z)) (/ 1 y))) |
(* z (- (/ x z) 1)) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* -4 z) |
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) |
(* -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 (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | 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)) (* (/ (- x z) y) 4) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* 4 (- (+ x (* y 1/4)) z)) (* 4 x)) |
| 4.0ms | 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)) (* (/ (- x z) y) 4) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* 4 (- (+ x (* y 1/4)) z)) (* 4 x)) |
| 2.0ms | 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)) (* (/ (- x z) y) 4) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* 4 (- (+ x (* y 1/4)) z)) (* 4 x)) |
| 2.0ms | 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)) (* (/ (- x z) y) 4) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* 4 (- (+ x (* y 1/4)) z)) (* 4 x)) |
| 2.0ms | x | @ | 0 | ((+ 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)) (* (/ (- x z) y) 4) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (/ (* 4 (- (+ x (* y 1/4)) z)) y) (* 4 (- (+ x (* y 1/4)) z)) (* 4 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 176 | 694 |
| 1 | 588 | 623 |
| 2 | 1941 | 562 |
| 3 | 7873 | 557 |
| 0 | 9032 | 519 |
| 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) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(* 4 (/ (- (* 1/4 y) z) y)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(* 4 (- (* 1/4 y) z)) |
(+ (* 4 x) (* 4 (- (* 1/4 y) z))) |
(* 4 x) |
(* 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 (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) |
(* -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))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (- x z) y) |
(/ (+ y (* 4 (- x z))) y) |
(* 4 (- x z)) |
(+ y (* 4 (- x z))) |
2 |
(+ 2 (* 4 (/ (- x z) y))) |
1 |
(+ 1 (* 4 (/ (- x z) y))) |
y |
(* y (+ 1 (* 4 (/ (- x z) y)))) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 1))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ 2 (* 4 (/ x y))) |
(+ x (* -1 z)) |
(* 4 (/ (+ x (* 1/4 y)) y)) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(* 4 (+ x (* 1/4 y))) |
(+ (* -4 z) (* 4 (+ x (* 1/4 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 (- (/ x (* y z)) (/ 1 y))) |
(* z (- (/ x z) 1)) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(* -4 z) |
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) |
(* -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 (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z))))) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) #s(literal 4 binary64) #s(literal 1 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 (/.f64 z y) #s(literal -4 binary64) #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)) |
(* -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) |
(* -4 (/ z y)) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* 4 (/ (- (* 1/4 y) z) y)) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) #s(literal 4 binary64)) |
(+ (* 4 (/ x y)) (* 4 (/ (- (* 1/4 y) z) y))) |
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y) |
(* 4 (- (* 1/4 y) z)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 4 binary64)) |
(+ (* 4 x) (* 4 (- (* 1/4 y) z))) |
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y) |
(* 4 x) |
(*.f64 x #s(literal 4 binary64)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) #s(literal 4 binary64)) #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 4 binary64) y) y)) |
(* 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 (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(/.f64 (-.f64 x z) y) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x) #s(literal 4 binary64) #s(literal 4 binary64)) y) x) |
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x) #s(literal 4 binary64) #s(literal 4 binary64)) x) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) #s(literal -1 binary64)) x) (/.f64 #s(literal 4 binary64) y))) |
(* -1 (* x (- (* -1 (/ (+ 2 (* -4 (/ z y))) x)) (* 4 (/ 1 y))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) x (fma.f64 (/.f64 #s(literal 4 binary64) y) z #s(literal -2 binary64)))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(/.f64 (-.f64 x z) y) |
(* -1 (* x (- (/ z x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 z x) #s(literal 1 binary64))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* -1 (* x (- (* -4 (/ (- 1/4 (/ z y)) x)) (* 4 (/ 1 y))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x) #s(literal 4 binary64) #s(literal 4 binary64)) y) x) |
(* -1 (* x (- (* -4 (/ (- (* 1/4 y) z) x)) 4))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x) #s(literal -4 binary64)) #s(literal 4 binary64))) |
(* 4 (/ (- x z) y)) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (+ y (* 4 (- x z))) y) |
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y) |
(* 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) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 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 (-.f64 x z) #s(literal 4 binary64)) #s(literal 1 binary64) y) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 1))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal -4 binary64)) #s(literal 1 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)) |
(+ 2 (* 4 (/ x y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(+ x (* -1 z)) |
(-.f64 x z) |
(* 4 (/ (+ x (* 1/4 y)) y)) |
(/.f64 (fma.f64 x #s(literal 4 binary64) y) y) |
(+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y))) |
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y) |
(* 4 (+ x (* 1/4 y))) |
(fma.f64 x #s(literal 4 binary64) y) |
(+ (* -4 z) (* 4 (+ x (* 1/4 y)))) |
(fma.f64 (-.f64 x z) #s(literal 4 binary64) y) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) z) (/.f64 #s(literal 4 binary64) y)) z) |
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) z) (/.f64 #s(literal 4 binary64) y)) z) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 (/.f64 x y) z) (/.f64 #s(literal 1 binary64) y)) z) |
(* z (- (/ x z) 1)) |
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z) |
(* z (- (* 4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y)))) |
(*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) z) #s(literal -4 binary64)) y) z) |
(* -4 z) |
(*.f64 #s(literal -4 binary64) z) |
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) |
(*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) z) #s(literal 4 binary64)) z) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) z) (/.f64 #s(literal 4 binary64) y)) z) |
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) z) (/.f64 #s(literal 4 binary64) y)) z) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(/.f64 (fma.f64 (/.f64 x z) z (neg.f64 z)) y) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(fma.f64 (/.f64 x z) z (neg.f64 z)) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z) |
(* -1 (* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (* 4 (/ 1 y))))) |
(*.f64 (/.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) z) #s(literal -4 binary64)) y) z) |
(* -1 (* z (+ 4 (* -4 (/ (+ x (* 1/4 y)) z))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) y) z) #s(literal -4 binary64)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 156 |
| 0 | 36 | 156 |
| 1 | 138 | 156 |
| 2 | 981 | 156 |
| 0 | 8359 | 145 |
| 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)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) y)) |
(/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) y) |
#s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) |
(*.f64 #s(literal 4 binary64) x) |
| 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 (-.f64 (*.f64 (/.f64 (pow.f64 (*.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 (pow.f64 (*.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 (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 8 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #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 #s(literal 8 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #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 8 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #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 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #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 8 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #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 (pow.f64 (/.f64 (pow.f64 (*.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))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.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 (pow.f64 (*.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))) (fma.f64 (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))))))) |
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(/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) (+.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) (+.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) (+.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) (neg.f64 y))) |
(+.f64 (/.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y)))) (/.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) (+.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) (+.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (fma.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) (+.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) (+.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y)))) |
(+.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) |
(*.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y)) |
(/.f64 (neg.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64)))) (neg.f64 y)) |
(/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) y) |
(neg.f64 (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) (neg.f64 y))) |
(*.f64 #s(literal 1 binary64) #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64)))) |
#s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))) |
(neg.f64 (neg.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 x #s(literal 4 binary64))))) |
(*.f64 x #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) x) |
Compiled 10 481 to 904 computations (91.4% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 249 | 5 | 254 |
| Fresh | 3 | 3 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 254 | 11 | 265 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 30.9% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64))) |
| ▶ | 99.8% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))) |
| ▶ | 67.2% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
| ✓ | 68.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
| ✓ | 36.7% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
| ▶ | 37.1% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
| 67.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) | |
| 36.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y))) | |
| 68.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))) | |
| ▶ | 37.2% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
| ✓ | 32.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
Compiled 427 to 337 computations (21.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64))) | |
| cost-diff | 1 | (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) | |
| cost-diff | 1 | (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64)) | |
| cost-diff | 2 | (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 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 #s(literal -4 binary64) y) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -4 binary64) y) z) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (*.f64 (/.f64 z y) #s(literal -4 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64))) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) | |
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #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) (-.f64 x z) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 262 |
| 0 | 60 | 258 |
| 1 | 110 | 258 |
| 2 | 209 | 258 |
| 3 | 667 | 232 |
| 4 | 4419 | 232 |
| 0 | 8204 | 227 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
(-.f64 x z) |
x |
z |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (* (/ (- x z) y) 4) (*.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)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(/.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
y |
z |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 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 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) |
(-.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 4 binary64) |
#s(literal 2 binary64) |
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64)) |
#s(literal -4 binary64) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 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))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
(-.f64 x z) |
x |
z |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 #s(literal -4 binary64) (/.f64 z y)))) |
#s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64))) |
#s(approx (* (/ (- x z) y) 4) (*.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)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(*.f64 #s(literal -4 binary64) (/.f64 z y)) |
(/.f64 #s(literal -4 binary64) y) |
#s(literal -4 binary64) |
y |
z |
#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 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y) #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) |
(/.f64 (fma.f64 (-.f64 x z) #s(literal 4 binary64) y) y) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) |
(fma.f64 (-.f64 x z) #s(literal 4 binary64) 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 4 binary64) |
#s(literal 2 binary64) |
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
#s(literal -4 binary64) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) |
(-.f64 (/.f64 (-.f64 x z) y) #s(literal -1/4 binary64)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.19921875 | (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) | |
| accuracy | 17.565028707599613 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) | |
| accuracy | 17.62370040759965 | (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64)) | |
| accuracy | 25.15562755337624 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal 4 binary64) y) | |
| accuracy | 0.11328125 | (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) | |
| accuracy | 20.90175355811012 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal -4 binary64) y) | |
| accuracy | 0.234375 | (*.f64 (/.f64 #s(literal -4 binary64) y) z) | |
| accuracy | 40.20657050932534 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) | |
| accuracy | 0.0 | (/.f64 z y) | |
| accuracy | 0.014003759768442016 | (*.f64 (/.f64 z y) #s(literal -4 binary64)) | |
| accuracy | 20.098639654199353 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) | |
| accuracy | 30.212500167353816 | #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal 4 binary64) y) | |
| accuracy | 0.0 | (-.f64 x z) | |
| accuracy | 0.0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))) | |
| accuracy | 0.12890625 | (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
| 62.0ms | 178× | 0 | valid |
| 33.0ms | 54× | 1 | valid |
| 18.0ms | 24× | 2 | valid |
Compiled 236 to 39 computations (83.5% saved)
ival-mult: 18.0ms (25.3% of total)ival-div: 17.0ms (23.8% of total)adjust: 17.0ms (23.8% of total)ival-add: 9.0ms (12.6% of total)ival-sub: 6.0ms (8.4% of total)ival-pow2: 3.0ms (4.2% of total)exact: 1.0ms (1.4% 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 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
(-.f64 x z) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (* (/ (- x z) y) 4) (*.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)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(/.f64 #s(literal -4 binary64) y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 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 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) |
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 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) |
(- x z) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
2 |
(+ 2 (* 4 (/ x y))) |
(* 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) z) y) |
(- (+ 1/4 (/ x y)) (/ z y)) |
(/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))) |
(- (+ (* x (- (* -16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* -4 (/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (- (* 1/4 y) z) y))) 2)))))) (/ 1 (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* 16 (/ (pow (- (* 1/4 y) z) 2) (* (pow y 2) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))))) |
(- (+ (* x (- (+ (* -16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* -1 (* x (+ (* -4 (/ (- (* -16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* -4 (/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (- (* 1/4 y) z) y))) 2))))) (* y (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))))) (* 16 (/ 1 (* (pow y 2) (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))))))))) (* -4 (/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (- (* 1/4 y) z) y))) 2)))))) (/ 1 (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* 16 (/ (pow (- (* 1/4 y) z) 2) (* (pow y 2) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))))) |
(- (+ (* x (- (+ (* -16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* x (- (* -4 (/ (* x (+ (* -4 (/ (- (* -16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* -4 (/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (- (* 1/4 y) z) y))) 2))))) (* y (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))))) (* 16 (/ 1 (* (pow y 2) (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))))))) (* y (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))))) (+ (* -4 (/ (- (* -16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* -4 (/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (- (* 1/4 y) z) y))) 2))))) (* y (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))))) (* 16 (/ 1 (* (pow y 2) (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))))))))) (* -4 (/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (- (* 1/4 y) z) y))) 2)))))) (/ 1 (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* 16 (/ (pow (- (* 1/4 y) z) 2) (* (pow y 2) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))))) |
(- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) |
(- (+ 1 (* -16 (* x (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2))))))) (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) |
(- (+ 1 (* x (- (* -16 (/ x (pow y 2))) (* 16 (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))))))) (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) |
(* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2))) |
(+ (* 16 (* x (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))))) (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) |
(+ (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2))) (* x (+ (* 16 (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2))))) (* 16 (/ x (pow y 2)))))) |
(* 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 |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 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 y) |
(* x (- (+ (* 1/4 (/ 1 x)) (/ 1 y)) (/ z (* x y)))) |
(* x (- (+ (* 4 (/ (* y (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2))))) x)) (* 4 (/ 1 y))) (* -1 (/ (+ 1 (* -4 (- 1/4 (/ z y)))) x)))) |
(* x (- (+ (* -1/4 (/ (* y (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2))))) (pow x 2))) (+ (* 4 (/ (* y (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2))))) x)) (* 4 (/ 1 y)))) (+ (* -1 (/ (+ 1 (* -4 (- 1/4 (/ z y)))) x)) (* -1/4 (/ (* y (* (+ 1 (* -4 (- 1/4 (/ z y)))) (- (* 4 (* y (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))))) (* -1 (+ 1 (* -4 (- 1/4 (/ z y)))))))) (pow x 2)))))) |
(* x (- (+ (* -1/4 (/ (* y (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2))))) (pow x 2))) (+ (* 1/4 (/ (* y (* (+ 1 (* -4 (- 1/4 (/ z y)))) (- (* -1/4 (* y (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))))) (* -1/4 (* y (* (+ 1 (* -4 (- 1/4 (/ z y)))) (- (* 4 (* y (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))))) (* -1 (+ 1 (* -4 (- 1/4 (/ z y)))))))))))) (pow x 3))) (+ (* 4 (/ (* y (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2))))) x)) (* 4 (/ 1 y))))) (+ (* -1 (/ (+ 1 (* -4 (- 1/4 (/ z y)))) x)) (* -1/4 (/ (* y (* (+ 1 (* -4 (- 1/4 (/ z y)))) (- (* 4 (* y (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))))) (* -1 (+ 1 (* -4 (- 1/4 (/ z y)))))))) (pow x 2)))))) |
(* -16 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* -16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) x)) (* 16 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ (* 16 (/ 1 (pow y 2))) (+ (* 16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) x)) (* 16 (/ (pow (- (* 1/4 y) z) 2) (* (pow x 2) (pow y 2)))))))) |
(* 16 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* 16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) x)) (* 16 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* 16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) x)) (+ (* 16 (/ (pow (- (* 1/4 y) z) 2) (* (pow x 2) (pow y 2)))) (* 16 (/ 1 (pow y 2)))))) |
(* -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) 1))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
(* -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 (/ (- 1/4 (/ z y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (* 8 (/ (- (* 1/4 y) z) y)) (* -1 (+ 1 (* -4 (- 1/4 (/ z y)))))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* y (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))))) (* 1/4 (* y (* (+ 1 (* -4 (- 1/4 (/ z y)))) (- (* 8 (/ (- (* 1/4 y) z) y)) (* -1 (+ 1 (* -4 (- 1/4 (/ z y)))))))))) x)) (* 8 (/ (- (* 1/4 y) z) y))) (* -1 (+ 1 (* -4 (- 1/4 (/ z y)))))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* y (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))))) (* 1/4 (/ (* y (* (+ 1 (* -4 (- 1/4 (/ z y)))) (- (* 1/4 (* y (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))))) (* 1/4 (* y (* (+ 1 (* -4 (- 1/4 (/ z y)))) (- (* 8 (/ (- (* 1/4 y) z) y)) (* -1 (+ 1 (* -4 (- 1/4 (/ z y)))))))))))) x))) (* 1/4 (* y (* (+ 1 (* -4 (- 1/4 (/ z y)))) (- (* 8 (/ (- (* 1/4 y) z) y)) (* -1 (+ 1 (* -4 (- 1/4 (/ z y)))))))))) x)) (* 8 (/ (- (* 1/4 y) z) y))) (* -1 (+ 1 (* -4 (- 1/4 (/ z y)))))) x)) (* 4 (/ 1 y))))) |
(* (pow x 2) (- (* -32 (/ (- (* 1/4 y) z) (* x (pow y 2)))) (* 16 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) x)) (* -32 (/ (- (* 1/4 y) z) (pow y 2)))) x)) (* 16 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* 32 (/ (- (* 1/4 y) z) (* x (pow y 2)))) (* 16 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -32 (/ (- (* 1/4 y) z) (pow y 2))) (* -16 (/ (pow (- (* 1/4 y) z) 2) (* x (pow y 2))))) x)) (* 16 (/ 1 (pow y 2))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ 4 y) |
(/ z y) |
(/ -4 y) |
(/ (+ (* 2 y) (* 4 x)) y) |
(* 4 (- x z)) |
(+ y (* 4 (- x z))) |
(* -4 (/ (- x z) y)) |
(/ (- x z) y) |
(/ (- (+ x (* 1/4 y)) z) y) |
(* -16 (/ (pow (- x z) 2) (pow y 2))) |
(/ (- (* -8 (* y (- x z))) (* 16 (pow (- x z) 2))) (pow y 2)) |
(* 16 (/ (pow (- x z) 2) (pow y 2))) |
(/ (+ (* 8 (* y (- x z))) (* 16 (pow (- x z) 2))) (pow y 2)) |
(/ (+ (* 16 (pow (- x z) 2)) (* y (+ y (* 8 (- x z))))) (pow y 2)) |
(+ 2 (* 4 (/ (- x z) y))) |
y |
(* y (+ 1 (* 4 (/ (- x z) y)))) |
1/4 |
(* -8 (/ (- x z) y)) |
(/ (- (* -16 (/ (pow (- x z) 2) y)) (* 8 (- x z))) y) |
1 |
(+ 1 (* 8 (/ (- x z) y))) |
(+ 1 (+ (* 8 (/ (- x z) y)) (* 16 (/ (pow (- x z) 2) (pow y 2))))) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 1))) |
(* -1 (/ (- (* 16 (/ (pow (- x z) 2) y)) (* -8 (- x z))) y)) |
(+ 1 (* -1 (/ (+ (* -16 (/ (pow (- x z) 2) y)) (* -8 (- x z))) y))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ x (* -1 z)) |
(* 4 (+ x (* 1/4 y))) |
(+ (* -4 z) (* 4 (+ x (* 1/4 y)))) |
(+ 1 (* -4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ (+ x (* 1/4 y)) y)) (* 4 (/ z y)))) |
(/ (+ x (* 1/4 y)) y) |
(+ 1/4 (+ (* -1 (/ z y)) (/ x y))) |
(/ (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))) |
(- (+ (* z (- (* 32 (/ (+ x (* 1/4 y)) (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))) (* 4 (/ (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))) 2)))))) (/ 1 (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))))) (* 16 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))))))) |
(- (+ (* z (- (+ (* -1 (* z (+ (* 4 (/ (- (* 32 (/ (+ x (* 1/4 y)) (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))) (* 4 (/ (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))) 2))))) (* y (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))) (* 16 (/ 1 (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))))))))) (* 32 (/ (+ x (* 1/4 y)) (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))))))) (* 4 (/ (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))) 2)))))) (/ 1 (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))))) (* 16 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))))))) |
(- (+ (* z (- (+ (* 32 (/ (+ x (* 1/4 y)) (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))) (* z (- (* 4 (/ (* z (+ (* 4 (/ (- (* 32 (/ (+ x (* 1/4 y)) (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))) (* 4 (/ (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))) 2))))) (* y (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))) (* 16 (/ 1 (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))))) (* y (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))) (+ (* 4 (/ (- (* 32 (/ (+ x (* 1/4 y)) (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))) (* 4 (/ (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))) 2))))) (* y (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))) (* 16 (/ 1 (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))))))) (* 4 (/ (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))) 2)))))) (/ 1 (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))))) (* 16 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))))))) |
(- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) |
(- (+ 1 (* 32 (/ (* z (+ x (* 1/4 y))) (pow y 2)))) (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) |
(- (+ 1 (* z (- (* -16 (/ z (pow y 2))) (* -32 (/ (+ x (* 1/4 y)) (pow y 2)))))) (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) |
(* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2))) |
(+ (* -32 (/ (* z (+ x (* 1/4 y))) (pow y 2))) (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) |
(+ (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2))) (* z (+ (* -32 (/ (+ x (* 1/4 y)) (pow y 2))) (* 16 (/ z (pow y 2)))))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y)))) |
(* z (- (/ x z) 1)) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* -4 z) |
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) |
(* 4 (/ z y)) |
(* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (+ (* 4 (/ 1 y)) (/ 1 z)))) |
(* -1 (/ z y)) |
(* z (- (+ (* 1/4 (/ 1 z)) (/ x (* y z))) (/ 1 y))) |
(* z (- (* 8 (/ (+ x (* 1/4 y)) (* y z))) (+ (* -1 (/ (+ 1 (* -4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* z (- (+ (* 1/4 (/ (* y (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2))))) (pow z 2))) (* 8 (/ (+ x (* 1/4 y)) (* y z)))) (+ (* -1 (/ (+ 1 (* -4 (+ 1/4 (/ x y)))) z)) (+ (* 1/4 (/ (* y (* (+ 1 (* -4 (+ 1/4 (/ x y)))) (- (* 8 (/ (+ x (* 1/4 y)) y)) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))))) (pow z 2))) (* 4 (/ 1 y)))))) |
(* z (- (+ (* -1/4 (/ (* y (* (+ 1 (* -4 (+ 1/4 (/ x y)))) (- (* 1/4 (* y (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))))) (* 1/4 (* y (* (+ 1 (* -4 (+ 1/4 (/ x y)))) (- (* 8 (/ (+ x (* 1/4 y)) y)) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))))))))) (pow z 3))) (+ (* 1/4 (/ (* y (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2))))) (pow z 2))) (* 8 (/ (+ x (* 1/4 y)) (* y z))))) (+ (* -1 (/ (+ 1 (* -4 (+ 1/4 (/ x y)))) z)) (+ (* 1/4 (/ (* y (* (+ 1 (* -4 (+ 1/4 (/ x y)))) (- (* 8 (/ (+ x (* 1/4 y)) y)) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))))) (pow z 2))) (* 4 (/ 1 y)))))) |
(* -16 (/ (pow z 2) (pow y 2))) |
(* (pow z 2) (- (* 32 (/ (+ x (* 1/4 y)) (* (pow y 2) z))) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (/ 1 (pow z 2)) (+ (* -32 (/ (+ x (* 1/4 y)) (* (pow y 2) z))) (+ (* 16 (/ 1 (pow y 2))) (* 16 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 2) (pow z 2)))))))) |
(* 16 (/ (pow z 2) (pow y 2))) |
(* (pow z 2) (+ (* -32 (/ (+ x (* 1/4 y)) (* (pow y 2) z))) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (+ (* -32 (/ (+ x (* 1/4 y)) (* (pow y 2) z))) (+ (* 16 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 2) (pow z 2)))) (* 16 (/ 1 (pow y 2)))))) |
(* -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 (* -1 (/ x z))))) |
(* -1 (* z (+ (* -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 (+ (* -1 (/ (+ 1/4 (/ x y)) z)) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (- (* 4 (* y (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (* y (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))))) (* -1/4 (* y (* (+ 1 (* -4 (+ 1/4 (/ x y)))) (- (* 4 (* y (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))))))) z)) (* 4 (* y (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/4 (* y (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))))) (* -1/4 (/ (* y (* (+ 1 (* -4 (+ 1/4 (/ x y)))) (- (* -1/4 (* y (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))))) (* -1/4 (* y (* (+ 1 (* -4 (+ 1/4 (/ x y)))) (- (* 4 (* y (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))))))))) z))) (* -1/4 (* y (* (+ 1 (* -4 (+ 1/4 (/ x y)))) (- (* 4 (* y (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))))))) z)) (* 4 (* y (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))) z)) (* 4 (/ 1 y))))) |
(* (pow z 2) (- (* 16 (/ (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))) z)) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) z)) (* 16 (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) z)) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (+ (* -16 (/ (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))) z)) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -16 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 2) z))) (* 16 (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) z)) (* 16 (/ 1 (pow y 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | z | @ | -inf | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) (- x z)) 2) (/ 4 y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (* (- (+ (* 1/4 y) x) z) 4) (+ (* -4 (/ (- (+ (* 1/4 y) x) z) y)) 1) (/ (- (+ (* 1/4 y) x) z) y) (/ (- 1 (pow (/ (* (- (+ (* 1/4 y) x) z) 4) y) 2)) (+ (* -4 (/ (- (+ (* 1/4 y) x) z) y)) 1)) (- 1 (pow (/ (* (- (+ (* 1/4 y) x) z) 4) y) 2)) (pow (/ (* (- (+ (* 1/4 y) x) z) 4) y) 2)) |
| 7.0ms | x | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) (- x z)) 2) (/ 4 y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (* (- (+ (* 1/4 y) x) z) 4) (+ (* -4 (/ (- (+ (* 1/4 y) x) z) y)) 1) (/ (- (+ (* 1/4 y) x) z) y) (/ (- 1 (pow (/ (* (- (+ (* 1/4 y) x) z) 4) y) 2)) (+ (* -4 (/ (- (+ (* 1/4 y) x) z) y)) 1)) (- 1 (pow (/ (* (- (+ (* 1/4 y) x) z) 4) y) 2)) (pow (/ (* (- (+ (* 1/4 y) x) z) 4) y) 2)) |
| 6.0ms | z | @ | 0 | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) (- x z)) 2) (/ 4 y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (* (- (+ (* 1/4 y) x) z) 4) (+ (* -4 (/ (- (+ (* 1/4 y) x) z) y)) 1) (/ (- (+ (* 1/4 y) x) z) y) (/ (- 1 (pow (/ (* (- (+ (* 1/4 y) x) z) 4) y) 2)) (+ (* -4 (/ (- (+ (* 1/4 y) x) z) y)) 1)) (- 1 (pow (/ (* (- (+ (* 1/4 y) x) z) 4) y) 2)) (pow (/ (* (- (+ (* 1/4 y) x) z) 4) y) 2)) |
| 4.0ms | z | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) (- x z)) 2) (/ 4 y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (* (- (+ (* 1/4 y) x) z) 4) (+ (* -4 (/ (- (+ (* 1/4 y) x) z) y)) 1) (/ (- (+ (* 1/4 y) x) z) y) (/ (- 1 (pow (/ (* (- (+ (* 1/4 y) x) z) 4) y) 2)) (+ (* -4 (/ (- (+ (* 1/4 y) x) z) y)) 1)) (- 1 (pow (/ (* (- (+ (* 1/4 y) x) z) 4) y) 2)) (pow (/ (* (- (+ (* 1/4 y) x) z) 4) y) 2)) |
| 4.0ms | x | @ | 0 | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) (- x z)) 2) (/ 4 y) (- x z) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ (- x z) y) 4) (* (/ z y) -4) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (/ -4 y) z) (/ -4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (* (- (+ (* 1/4 y) x) z) 4) (+ (* -4 (/ (- (+ (* 1/4 y) x) z) y)) 1) (/ (- (+ (* 1/4 y) x) z) y) (/ (- 1 (pow (/ (* (- (+ (* 1/4 y) x) z) 4) y) 2)) (+ (* -4 (/ (- (+ (* 1/4 y) x) z) y)) 1)) (- 1 (pow (/ (* (- (+ (* 1/4 y) x) z) 4) y) 2)) (pow (/ (* (- (+ (* 1/4 y) x) z) 4) y) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 607 | 4296 |
| 1 | 2062 | 4005 |
| 0 | 8232 | 3690 |
| 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) |
(- x z) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
2 |
(+ 2 (* 4 (/ x y))) |
(* 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) z) y) |
(- (+ 1/4 (/ x y)) (/ z y)) |
(/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))) |
(- (+ (* x (- (* -16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* -4 (/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (- (* 1/4 y) z) y))) 2)))))) (/ 1 (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* 16 (/ (pow (- (* 1/4 y) z) 2) (* (pow y 2) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))))) |
(- (+ (* x (- (+ (* -16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* -1 (* x (+ (* -4 (/ (- (* -16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* -4 (/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (- (* 1/4 y) z) y))) 2))))) (* y (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))))) (* 16 (/ 1 (* (pow y 2) (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))))))))) (* -4 (/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (- (* 1/4 y) z) y))) 2)))))) (/ 1 (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* 16 (/ (pow (- (* 1/4 y) z) 2) (* (pow y 2) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))))) |
(- (+ (* x (- (+ (* -16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* x (- (* -4 (/ (* x (+ (* -4 (/ (- (* -16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* -4 (/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (- (* 1/4 y) z) y))) 2))))) (* y (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))))) (* 16 (/ 1 (* (pow y 2) (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))))))) (* y (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))))) (+ (* -4 (/ (- (* -16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* -4 (/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (- (* 1/4 y) z) y))) 2))))) (* y (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))))) (* 16 (/ 1 (* (pow y 2) (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))))))))) (* -4 (/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (- (* 1/4 y) z) y))) 2)))))) (/ 1 (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* 16 (/ (pow (- (* 1/4 y) z) 2) (* (pow y 2) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))))) |
(- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) |
(- (+ 1 (* -16 (* x (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2))))))) (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) |
(- (+ 1 (* x (- (* -16 (/ x (pow y 2))) (* 16 (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))))))) (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) |
(* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2))) |
(+ (* 16 (* x (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))))) (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) |
(+ (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2))) (* x (+ (* 16 (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2))))) (* 16 (/ x (pow y 2)))))) |
(* 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 |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 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 y) |
(* x (- (+ (* 1/4 (/ 1 x)) (/ 1 y)) (/ z (* x y)))) |
(* x (- (+ (* 4 (/ (* y (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2))))) x)) (* 4 (/ 1 y))) (* -1 (/ (+ 1 (* -4 (- 1/4 (/ z y)))) x)))) |
(* x (- (+ (* -1/4 (/ (* y (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2))))) (pow x 2))) (+ (* 4 (/ (* y (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2))))) x)) (* 4 (/ 1 y)))) (+ (* -1 (/ (+ 1 (* -4 (- 1/4 (/ z y)))) x)) (* -1/4 (/ (* y (* (+ 1 (* -4 (- 1/4 (/ z y)))) (- (* 4 (* y (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))))) (* -1 (+ 1 (* -4 (- 1/4 (/ z y)))))))) (pow x 2)))))) |
(* x (- (+ (* -1/4 (/ (* y (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2))))) (pow x 2))) (+ (* 1/4 (/ (* y (* (+ 1 (* -4 (- 1/4 (/ z y)))) (- (* -1/4 (* y (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))))) (* -1/4 (* y (* (+ 1 (* -4 (- 1/4 (/ z y)))) (- (* 4 (* y (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))))) (* -1 (+ 1 (* -4 (- 1/4 (/ z y)))))))))))) (pow x 3))) (+ (* 4 (/ (* y (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2))))) x)) (* 4 (/ 1 y))))) (+ (* -1 (/ (+ 1 (* -4 (- 1/4 (/ z y)))) x)) (* -1/4 (/ (* y (* (+ 1 (* -4 (- 1/4 (/ z y)))) (- (* 4 (* y (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))))) (* -1 (+ 1 (* -4 (- 1/4 (/ z y)))))))) (pow x 2)))))) |
(* -16 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (- (* -16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) x)) (* 16 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (/ 1 (pow x 2)) (+ (* 16 (/ 1 (pow y 2))) (+ (* 16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) x)) (* 16 (/ (pow (- (* 1/4 y) z) 2) (* (pow x 2) (pow y 2)))))))) |
(* 16 (/ (pow x 2) (pow y 2))) |
(* (pow x 2) (+ (* 16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) x)) (* 16 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* 16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) x)) (+ (* 16 (/ (pow (- (* 1/4 y) z) 2) (* (pow x 2) (pow y 2)))) (* 16 (/ 1 (pow y 2)))))) |
(* -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) 1))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
(* -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 (/ (- 1/4 (/ z y)) x)) (/ 1 y)))) |
(* -1 (* x (- (* -1 (/ (- (* 8 (/ (- (* 1/4 y) z) y)) (* -1 (+ 1 (* -4 (- 1/4 (/ z y)))))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* y (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))))) (* 1/4 (* y (* (+ 1 (* -4 (- 1/4 (/ z y)))) (- (* 8 (/ (- (* 1/4 y) z) y)) (* -1 (+ 1 (* -4 (- 1/4 (/ z y)))))))))) x)) (* 8 (/ (- (* 1/4 y) z) y))) (* -1 (+ 1 (* -4 (- 1/4 (/ z y)))))) x)) (* 4 (/ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* y (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))))) (* 1/4 (/ (* y (* (+ 1 (* -4 (- 1/4 (/ z y)))) (- (* 1/4 (* y (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))))) (* 1/4 (* y (* (+ 1 (* -4 (- 1/4 (/ z y)))) (- (* 8 (/ (- (* 1/4 y) z) y)) (* -1 (+ 1 (* -4 (- 1/4 (/ z y)))))))))))) x))) (* 1/4 (* y (* (+ 1 (* -4 (- 1/4 (/ z y)))) (- (* 8 (/ (- (* 1/4 y) z) y)) (* -1 (+ 1 (* -4 (- 1/4 (/ z y)))))))))) x)) (* 8 (/ (- (* 1/4 y) z) y))) (* -1 (+ 1 (* -4 (- 1/4 (/ z y)))))) x)) (* 4 (/ 1 y))))) |
(* (pow x 2) (- (* -32 (/ (- (* 1/4 y) z) (* x (pow y 2)))) (* 16 (/ 1 (pow y 2))))) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) x)) (* -32 (/ (- (* 1/4 y) z) (pow y 2)))) x)) (* 16 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* 32 (/ (- (* 1/4 y) z) (* x (pow y 2)))) (* 16 (/ 1 (pow y 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -32 (/ (- (* 1/4 y) z) (pow y 2))) (* -16 (/ (pow (- (* 1/4 y) z) 2) (* x (pow y 2))))) x)) (* 16 (/ 1 (pow y 2))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ 4 y) |
(/ z y) |
(/ -4 y) |
(/ (+ (* 2 y) (* 4 x)) y) |
(* 4 (- x z)) |
(+ y (* 4 (- x z))) |
(* -4 (/ (- x z) y)) |
(/ (- x z) y) |
(/ (- (+ x (* 1/4 y)) z) y) |
(* -16 (/ (pow (- x z) 2) (pow y 2))) |
(/ (- (* -8 (* y (- x z))) (* 16 (pow (- x z) 2))) (pow y 2)) |
(* 16 (/ (pow (- x z) 2) (pow y 2))) |
(/ (+ (* 8 (* y (- x z))) (* 16 (pow (- x z) 2))) (pow y 2)) |
(/ (+ (* 16 (pow (- x z) 2)) (* y (+ y (* 8 (- x z))))) (pow y 2)) |
(+ 2 (* 4 (/ (- x z) y))) |
y |
(* y (+ 1 (* 4 (/ (- x z) y)))) |
1/4 |
(* -8 (/ (- x z) y)) |
(/ (- (* -16 (/ (pow (- x z) 2) y)) (* 8 (- x z))) y) |
1 |
(+ 1 (* 8 (/ (- x z) y))) |
(+ 1 (+ (* 8 (/ (- x z) y)) (* 16 (/ (pow (- x z) 2) (pow y 2))))) |
(* -1 (* y (- (* -4 (/ (- x z) y)) 1))) |
(* -1 (/ (- (* 16 (/ (pow (- x z) 2) y)) (* -8 (- x z))) y)) |
(+ 1 (* -1 (/ (+ (* -16 (/ (pow (- x z) 2) y)) (* -8 (- x z))) y))) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ z y)) (* 4 (/ (+ x (* 1/4 y)) y)))) |
(+ x (* -1 z)) |
(* 4 (+ x (* 1/4 y))) |
(+ (* -4 z) (* 4 (+ x (* 1/4 y)))) |
(+ 1 (* -4 (/ (+ x (* 1/4 y)) y))) |
(+ 1 (+ (* -4 (/ (+ x (* 1/4 y)) y)) (* 4 (/ z y)))) |
(/ (+ x (* 1/4 y)) y) |
(+ 1/4 (+ (* -1 (/ z y)) (/ x y))) |
(/ (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))) |
(- (+ (* z (- (* 32 (/ (+ x (* 1/4 y)) (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))) (* 4 (/ (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))) 2)))))) (/ 1 (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))))) (* 16 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))))))) |
(- (+ (* z (- (+ (* -1 (* z (+ (* 4 (/ (- (* 32 (/ (+ x (* 1/4 y)) (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))) (* 4 (/ (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))) 2))))) (* y (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))) (* 16 (/ 1 (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))))))))) (* 32 (/ (+ x (* 1/4 y)) (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))))))) (* 4 (/ (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))) 2)))))) (/ 1 (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))))) (* 16 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))))))) |
(- (+ (* z (- (+ (* 32 (/ (+ x (* 1/4 y)) (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))) (* z (- (* 4 (/ (* z (+ (* 4 (/ (- (* 32 (/ (+ x (* 1/4 y)) (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))) (* 4 (/ (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))) 2))))) (* y (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))) (* 16 (/ 1 (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))))) (* y (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))) (+ (* 4 (/ (- (* 32 (/ (+ x (* 1/4 y)) (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))) (* 4 (/ (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))) 2))))) (* y (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))) (* 16 (/ 1 (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y)))))))))) (* 4 (/ (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))) 2)))))) (/ 1 (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))))) (* 16 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 2) (+ 1 (* -4 (/ (+ x (* 1/4 y)) y))))))) |
(- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) |
(- (+ 1 (* 32 (/ (* z (+ x (* 1/4 y))) (pow y 2)))) (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) |
(- (+ 1 (* z (- (* -16 (/ z (pow y 2))) (* -32 (/ (+ x (* 1/4 y)) (pow y 2)))))) (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) |
(* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2))) |
(+ (* -32 (/ (* z (+ x (* 1/4 y))) (pow y 2))) (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) |
(+ (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2))) (* z (+ (* -32 (/ (+ x (* 1/4 y)) (pow y 2))) (* 16 (/ z (pow y 2)))))) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y)))) |
(* z (- (/ x z) 1)) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(* -4 z) |
(* z (- (* 4 (/ (+ x (* 1/4 y)) z)) 4)) |
(* 4 (/ z y)) |
(* z (+ (* -4 (/ (+ 1/4 (/ x y)) z)) (+ (* 4 (/ 1 y)) (/ 1 z)))) |
(* -1 (/ z y)) |
(* z (- (+ (* 1/4 (/ 1 z)) (/ x (* y z))) (/ 1 y))) |
(* z (- (* 8 (/ (+ x (* 1/4 y)) (* y z))) (+ (* -1 (/ (+ 1 (* -4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(* z (- (+ (* 1/4 (/ (* y (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2))))) (pow z 2))) (* 8 (/ (+ x (* 1/4 y)) (* y z)))) (+ (* -1 (/ (+ 1 (* -4 (+ 1/4 (/ x y)))) z)) (+ (* 1/4 (/ (* y (* (+ 1 (* -4 (+ 1/4 (/ x y)))) (- (* 8 (/ (+ x (* 1/4 y)) y)) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))))) (pow z 2))) (* 4 (/ 1 y)))))) |
(* z (- (+ (* -1/4 (/ (* y (* (+ 1 (* -4 (+ 1/4 (/ x y)))) (- (* 1/4 (* y (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))))) (* 1/4 (* y (* (+ 1 (* -4 (+ 1/4 (/ x y)))) (- (* 8 (/ (+ x (* 1/4 y)) y)) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))))))))) (pow z 3))) (+ (* 1/4 (/ (* y (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2))))) (pow z 2))) (* 8 (/ (+ x (* 1/4 y)) (* y z))))) (+ (* -1 (/ (+ 1 (* -4 (+ 1/4 (/ x y)))) z)) (+ (* 1/4 (/ (* y (* (+ 1 (* -4 (+ 1/4 (/ x y)))) (- (* 8 (/ (+ x (* 1/4 y)) y)) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))))) (pow z 2))) (* 4 (/ 1 y)))))) |
(* -16 (/ (pow z 2) (pow y 2))) |
(* (pow z 2) (- (* 32 (/ (+ x (* 1/4 y)) (* (pow y 2) z))) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (/ 1 (pow z 2)) (+ (* -32 (/ (+ x (* 1/4 y)) (* (pow y 2) z))) (+ (* 16 (/ 1 (pow y 2))) (* 16 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 2) (pow z 2)))))))) |
(* 16 (/ (pow z 2) (pow y 2))) |
(* (pow z 2) (+ (* -32 (/ (+ x (* 1/4 y)) (* (pow y 2) z))) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (+ (* -32 (/ (+ x (* 1/4 y)) (* (pow y 2) z))) (+ (* 16 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 2) (pow z 2)))) (* 16 (/ 1 (pow y 2)))))) |
(* -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 (* -1 (/ x z))))) |
(* -1 (* z (+ (* -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 (+ (* -1 (/ (+ 1/4 (/ x y)) z)) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ (- (* 4 (* y (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (* y (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))))) (* -1/4 (* y (* (+ 1 (* -4 (+ 1/4 (/ x y)))) (- (* 4 (* y (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))))))) z)) (* 4 (* y (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))) z)) (* 4 (/ 1 y))))) |
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/4 (* y (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))))) (* -1/4 (/ (* y (* (+ 1 (* -4 (+ 1/4 (/ x y)))) (- (* -1/4 (* y (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))))) (* -1/4 (* y (* (+ 1 (* -4 (+ 1/4 (/ x y)))) (- (* 4 (* y (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))))))))) z))) (* -1/4 (* y (* (+ 1 (* -4 (+ 1/4 (/ x y)))) (- (* 4 (* y (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))))))) z)) (* 4 (* y (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))) z)) (* 4 (/ 1 y))))) |
(* (pow z 2) (- (* 16 (/ (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))) z)) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) z)) (* 16 (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) z)) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (+ (* -16 (/ (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))) z)) (* 16 (/ 1 (pow y 2))))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -16 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 2) z))) (* 16 (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) z)) (* 16 (/ 1 (pow y 2))))) |
| 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 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 4 binary64) #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 (/.f64 (fma.f64 #s(literal -4 binary64) z (*.f64 x #s(literal 4 binary64))) y) #s(literal 2 binary64)) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(* -4 (/ z y)) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(/.f64 (fma.f64 #s(literal -4 binary64) z (*.f64 x #s(literal 4 binary64))) y) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ x y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(* 4 (- (* 1/4 y) z)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 4 binary64)) |
(+ (* 4 x) (* 4 (- (* 1/4 y) z))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) |
(+ 1 (* -4 (/ (- (* 1/4 y) z) y))) |
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64)) |
(+ 1 (+ (* -4 (/ x y)) (* -4 (/ (- (* 1/4 y) z) y)))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64) #s(literal 1 binary64)) |
(/ (- (* 1/4 y) z) y) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) |
(- (+ 1/4 (/ x y)) (/ z y)) |
(+.f64 (/.f64 (-.f64 x z) y) #s(literal 1/4 binary64)) |
(/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))) |
(/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) y) y) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64))) |
(- (+ (* x (- (* -16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* -4 (/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (- (* 1/4 y) z) y))) 2)))))) (/ 1 (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* 16 (/ (pow (- (* 1/4 y) z) 2) (* (pow y 2) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) y) y) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) #s(literal 4 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -16 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64)))) x (/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) y) y) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64)))) |
(- (+ (* x (- (+ (* -16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* -1 (* x (+ (* -4 (/ (- (* -16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* -4 (/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (- (* 1/4 y) z) y))) 2))))) (* y (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))))) (* 16 (/ 1 (* (pow y 2) (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))))))))) (* -4 (/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (- (* 1/4 y) z) y))) 2)))))) (/ 1 (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* 16 (/ (pow (- (* 1/4 y) z) 2) (* (pow y 2) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))))) |
(fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) y) y) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) #s(literal 4 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -16 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64)))) y) (/.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64))) (*.f64 y y))) (fma.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) y) y) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) #s(literal 4 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -16 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64))))) x (/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) y) y) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64)))) |
(- (+ (* x (- (+ (* -16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* x (- (* -4 (/ (* x (+ (* -4 (/ (- (* -16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* -4 (/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (- (* 1/4 y) z) y))) 2))))) (* y (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))))) (* 16 (/ 1 (* (pow y 2) (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))))))) (* y (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))))) (+ (* -4 (/ (- (* -16 (/ (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* -4 (/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (- (* 1/4 y) z) y))) 2))))) (* y (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))))) (* 16 (/ 1 (* (pow y 2) (+ 1 (* -4 (/ (- (* 1/4 y) z) y)))))))))) (* -4 (/ (- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) (* y (pow (+ 1 (* -4 (/ (- (* 1/4 y) z) y))) 2)))))) (/ 1 (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))) (* 16 (/ (pow (- (* 1/4 y) z) 2) (* (pow y 2) (+ 1 (* -4 (/ (- (* 1/4 y) z) y))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (-.f64 (*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) y) y) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) #s(literal 4 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -16 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64)))) y) (/.f64 (/.f64 #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64))) (*.f64 y y))) (/.f64 x (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64)) y))) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) y) y) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) #s(literal 4 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -16 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64)) y))) (/.f64 (/.f64 #s(literal -16 binary64) (*.f64 y y)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64)))) x (fma.f64 (/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) y) y) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64)) #s(literal 2 binary64)) y)) #s(literal 4 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1/2 binary64) y)) #s(literal -16 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64))))) x (/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) y) y) #s(literal 1 binary64)) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) y) #s(literal 1 binary64)))) |
(- 1 (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) |
(fma.f64 #s(literal -16 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) y) y) #s(literal 1 binary64)) |
(- (+ 1 (* -16 (* x (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2))))))) (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1/2 binary64) y)) x (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) y) y)) #s(literal 16 binary64))) |
(- (+ 1 (* x (- (* -16 (/ x (pow y 2))) (* 16 (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))))))) (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) |
(fma.f64 (*.f64 #s(literal -16 binary64) (+.f64 (/.f64 (/.f64 x y) y) (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1/2 binary64) y)))) x (fma.f64 #s(literal -16 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) y) y) #s(literal 1 binary64))) |
(* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2))) |
(*.f64 (/.f64 #s(literal 16 binary64) y) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) y)) |
(+ (* 16 (* x (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2)))))) (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1/2 binary64) y)) x (/.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 binary64)) y) y)) #s(literal 16 binary64)) |
(+ (* 16 (/ (pow (- (* 1/4 y) z) 2) (pow y 2))) (* x (+ (* 16 (- (* 1/2 (/ 1 y)) (* 2 (/ z (pow y 2))))) (* 16 (/ x (pow y 2)))))) |
(fma.f64 (*.f64 #s(literal 16 binary64) x) (+.f64 (/.f64 (/.f64 x y) y) (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 z y) y) (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (/.f64 #s(literal 16 binary64) y) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) #s(literal 2 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))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) #s(literal 4 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) x) (/.f64 #s(literal -4 binary64) y)) x) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 z x)) x) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 z y) x) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) y)) x) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -4 binary64) y)) x) |
(* 4 x) |
(*.f64 x #s(literal 4 binary64)) |
(* x (+ 4 (* 4 (/ (- (* 1/4 y) z) x)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) y) z) x) #s(literal 4 binary64) #s(literal 4 binary64)) x) |
(* -4 (/ x y)) |
(*.f64 #s(literal -4 binary64) (/.f64 x y)) |
(* x (- (+ (* -4 (/ (- 1/4 (/ z y)) x)) (/ 1 x)) (* 4 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) #s(literal -4 binary64) #s(literal 1 binary64)) x) (/.f64 #s(literal 4 binary64) y)) x) |
(/ x y) |
(/.f64 x y) |
(* x (- (+ (* 1/4 (/ 1 x)) (/ 1 y)) (/ z (* x y)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) x)) x) |
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(*.f64 (neg.f64 z) (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64)))) z) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) y))) |
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/4 (* y (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))))) (* -1/4 (* y (* (+ 1 (* -4 (+ 1/4 (/ x y)))) (- (* 4 (* y (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))))))) z)) (* 4 (* y (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))) z)) (* 4 (/ 1 y))))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) y))) y (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y (-.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) y) y) #s(literal -16 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64))))))) z)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64)))) z) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) y))) |
(* -1 (* z (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/4 (* y (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))))) (* -1/4 (/ (* y (* (+ 1 (* -4 (+ 1/4 (/ x y)))) (- (* -1/4 (* y (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))))) (* -1/4 (* y (* (+ 1 (* -4 (+ 1/4 (/ x y)))) (- (* 4 (* y (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))))))))) z))) (* -1/4 (* y (* (+ 1 (* -4 (+ 1/4 (/ x y)))) (- (* 4 (* y (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))))))) z)) (* 4 (* y (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y)))))) (* -1 (+ 1 (* -4 (+ 1/4 (/ x y)))))) z)) (* 4 (/ 1 y))))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 (*.f64 y (+.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) y) y) #s(literal -16 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) y) (-.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) y) y) #s(literal -16 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64)))))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64))) z)))) (*.f64 (*.f64 y (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64)))))) z) #s(literal -1 binary64) (fma.f64 (*.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) y)) y) #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x y) #s(literal 4 binary64))))) z) #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) y))) |
(* (pow z 2) (- (* 16 (/ (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))) z)) (* 16 (/ 1 (pow y 2))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 32 binary64) (/.f64 (/.f64 x y) y) (/.f64 #s(literal 8 binary64) y)) z) (/.f64 #s(literal 16 binary64) (*.f64 y y))) (*.f64 z z)) |
(* (pow z 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 16 (/ (pow (+ x (* 1/4 y)) 2) (pow y 2)))) z)) (* 16 (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) z)) (* 16 (/ 1 (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) y) y) #s(literal -16 binary64) #s(literal 1 binary64)) (neg.f64 z)) (fma.f64 #s(literal 32 binary64) (/.f64 (/.f64 x y) y) (/.f64 #s(literal 8 binary64) y))) z) #s(literal -1 binary64) (/.f64 #s(literal -16 binary64) (*.f64 y y))) (*.f64 z z)) |
(* (pow z 2) (+ (* -16 (/ (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))) z)) (* 16 (/ 1 (pow y 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 16 binary64) (*.f64 y y)) (/.f64 (fma.f64 #s(literal 32 binary64) (/.f64 (/.f64 x y) y) (/.f64 #s(literal 8 binary64) y)) z)) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (/ (+ (* -16 (/ (pow (+ x (* 1/4 y)) 2) (* (pow y 2) z))) (* 16 (+ (* 2 (/ x (pow y 2))) (* 1/2 (/ 1 y))))) z)) (* 16 (/ 1 (pow y 2))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -16 binary64) z) (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) y x) #s(literal 2 binary64)) y) y) (fma.f64 #s(literal 32 binary64) (/.f64 (/.f64 x y) y) (/.f64 #s(literal 8 binary64) y))) (neg.f64 z)) (/.f64 #s(literal -16 binary64) (*.f64 y y))) (*.f64 z z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 216 |
| 0 | 60 | 212 |
| 1 | 254 | 198 |
| 2 | 1692 | 198 |
| 0 | 8252 | 193 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
(-.f64 x z) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (* (/ (- x z) y) 4) (*.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)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(/.f64 #s(literal -4 binary64) y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 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 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) |
(fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 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 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 (*.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 (fma.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)))) #s(literal 8 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.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 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #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 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #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 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 3 binary64)) #s(literal 64 binary64) #s(literal 8 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.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)) |
(fma.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #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)) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64)))) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (-.f64 x z)) (/.f64 #s(literal 4 binary64) y))) |
(-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -4 binary64) y) (-.f64 x z))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (/.f64 (-.f64 x z) y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.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))) |
(pow.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) |
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 #s(literal -4 binary64) (neg.f64 y)) |
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal 4 binary64) y) |
(neg.f64 (/.f64 #s(literal -4 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))) |
(/.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 z x))) |
(/.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 (*.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 z (+.f64 z x) (*.f64 x x))) |
(-.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) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 #s(literal -4 binary64) (/.f64 z y)))) |
#s(approx (* (/ (- x z) y) 4) (*.f64 #s(literal -4 binary64) (/.f64 z y))) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(*.f64 #s(literal -4 binary64) (/.f64 z y)) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) #s(literal -4 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 z #s(literal 4 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (neg.f64 z))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -4 binary64) z))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 4 binary64) z) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 z) #s(literal -4 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 z)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) z)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 z) (neg.f64 y)) |
(/.f64 z y) |
(neg.f64 (/.f64 (neg.f64 z) y)) |
(neg.f64 (/.f64 z (neg.f64 y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 #s(literal -4 binary64) (/.f64 z y))) |
(*.f64 (/.f64 #s(literal -4 binary64) y) z) |
(*.f64 #s(literal -4 binary64) (/.f64 z y)) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(*.f64 z (/.f64 #s(literal -4 binary64) y)) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) z)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) #s(literal -4 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 z #s(literal 4 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (neg.f64 z))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -4 binary64) z))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 4 binary64) z) (neg.f64 y)) |
(/.f64 (*.f64 (neg.f64 z) #s(literal -4 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal -4 binary64) (neg.f64 z)) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) z)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal -4 binary64) z) y) |
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal -4 binary64) y) |
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(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal -4 binary64)))) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal -4 binary64)) #s(literal 2 binary64))) (neg.f64 (*.f64 y y))) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal -4 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 4 binary64)))) (fabs.f64 (neg.f64 y))) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 4 binary64)))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal -4 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (/.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)) #s(literal -4 binary64)))) (fabs.f64 (neg.f64 y))) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (/.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)) #s(literal 4 binary64)))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (/.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)) #s(literal -4 binary64)))) (fabs.f64 y)) |
(/.f64 (fabs.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal -4 binary64)) #s(literal 2 binary64))) (fabs.f64 (*.f64 y y))) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal -4 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)))) (fabs.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 (fabs.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal -4 binary64)))) (fabs.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal -4 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 4 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 4 binary64))) y) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal -4 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64))) y) |
(/.f64 (*.f64 (*.f64 (/.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)) #s(literal -4 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 (/.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)) #s(literal 4 binary64))) y) |
(/.f64 (*.f64 (*.f64 (/.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)) #s(literal -4 binary64))) y) |
(/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal -4 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal 4 binary64))) (*.f64 (neg.f64 y) y)) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) #s(literal -4 binary64))) (*.f64 y (neg.f64 y))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)) #s(literal 4 binary64))) |
(fabs.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 16 binary64)))) |
(fabs.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal 2 binary64)) #s(literal 16 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64))))) |
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64))))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) y (-.f64 x z)) y) #s(literal -4 binary64)))))) |
Compiled 20 156 to 2 214 computations (89% saved)
11 alts after pruning (5 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 486 | 2 | 488 |
| Fresh | 0 | 3 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 488 | 11 | 499 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.9% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) #s(approx (- x z) (neg.f64 z)) #s(literal 2 binary64))) |
| ✓ | 67.2% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
| ✓ | 68.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
| ✓ | 36.7% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
| ✓ | 37.1% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
| ▶ | 67.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
| ▶ | 36.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y))) |
| ▶ | 68.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))) |
| ▶ | 67.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ 4 y) x) 2) (/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) y))) |
| ✓ | 37.2% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
| ✓ | 32.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
Compiled 375 to 300 computations (20% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) | |
| cost-diff | 2 | (-.f64 (/.f64 x y) (/.f64 z y)) | |
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (/ 4 y) x) 2) (/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) y)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ 4 y) x) 2) (/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) y))) | |
| cost-diff | 2 | (/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) y) | |
| cost-diff | 0 | #s(approx (- x z) (neg.f64 z)) | |
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 4 binary64) y) #s(approx (- x z) (neg.f64 z)) #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) #s(approx (- x z) (neg.f64 z)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 4 binary64) y) | |
| cost-diff | 0 | (*.f64 x (/.f64 #s(literal 4 binary64) y)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y))) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 256 |
| 0 | 56 | 250 |
| 1 | 98 | 250 |
| 2 | 186 | 247 |
| 3 | 364 | 237 |
| 4 | 722 | 227 |
| 5 | 1289 | 227 |
| 6 | 1894 | 227 |
| 7 | 2833 | 227 |
| 8 | 4414 | 227 |
| 9 | 5897 | 227 |
| 10 | 7159 | 227 |
| 0 | 8020 | 215 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))) |
#s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) |
(/.f64 z y) |
z |
y |
#s(literal -4 binary64) |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y))) |
(*.f64 x (/.f64 #s(literal 4 binary64) y)) |
x |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) #s(approx (- x z) (neg.f64 z)) #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) #s(approx (- x z) (neg.f64 z)) #s(literal 2 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
#s(approx (- x z) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ 4 y) x) 2) (/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) y))) |
#s(approx (+ (* (/ 4 y) x) 2) (/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) y)) |
(/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) y) |
(fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) |
#s(literal 2 binary64) |
y |
(*.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 x y) |
x |
y |
(/.f64 z y) |
z |
#s(literal 4 binary64) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)))) |
#s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #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 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)) |
(/.f64 z y) |
z |
y |
#s(literal -4 binary64) |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal 4 binary64) y) x)) |
(*.f64 x (/.f64 #s(literal 4 binary64) y)) |
(*.f64 (/.f64 #s(literal 4 binary64) y) x) |
x |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) #s(approx (- x z) (neg.f64 z)) #s(literal 2 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 #s(approx (- x z) (neg.f64 z)) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) #s(approx (- x z) (neg.f64 z)) #s(literal 2 binary64)) |
(fma.f64 #s(approx (- x z) (neg.f64 z)) (/.f64 #s(literal 4 binary64) y) #s(literal 2 binary64)) |
(/.f64 #s(literal 4 binary64) y) |
#s(literal 4 binary64) |
y |
#s(approx (- x z) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(literal 2 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ 4 y) x) 2) (/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ 4 y) x) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)))) |
#s(approx (+ (* (/ 4 y) x) 2) (/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) y)) |
#s(approx (+ (* (/ 4 y) x) 2) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) y) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64)) |
(fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) |
#s(literal 2 binary64) |
y |
(*.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 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 y) (/.f64 z y)) #s(literal 4 binary64)) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
(/.f64 (-.f64 x z) y) |
(/.f64 x y) |
x |
y |
(/.f64 z y) |
z |
#s(literal 4 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 x y) | |
| accuracy | 0.0 | (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)) | |
| accuracy | 0.9101521216604117 | (-.f64 (/.f64 x y) (/.f64 z y)) | |
| accuracy | 20.098639654199353 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) | |
| accuracy | 0.0 | (*.f64 x #s(literal 4 binary64)) | |
| accuracy | 0.0 | #s(approx (+ (* (/ 4 y) x) 2) (/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) y)) | |
| accuracy | 0.0234375 | (/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) y) | |
| accuracy | 20.90175355811012 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ 4 y) x) 2) (/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) y))) | |
| accuracy | 0.0 | (neg.f64 z) | |
| accuracy | 0.0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) #s(approx (- x z) (neg.f64 z)) #s(literal 2 binary64))) | |
| accuracy | 0.12890625 | (fma.f64 (/.f64 #s(literal 4 binary64) y) #s(approx (- x z) (neg.f64 z)) #s(literal 2 binary64)) | |
| accuracy | 32.2201453731768 | #s(approx (- x z) (neg.f64 z)) | |
| accuracy | 0.0 | (/.f64 #s(literal 4 binary64) y) | |
| accuracy | 0.203125 | (*.f64 x (/.f64 #s(literal 4 binary64) y)) | |
| accuracy | 40.48571465275298 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y))) | |
| accuracy | 0.0 | (/.f64 z y) | |
| accuracy | 0.0 | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))) | |
| accuracy | 0.00390625 | (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) | |
| accuracy | 20.49186775565712 | #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) |
| 61.0ms | 256× | 0 | valid |
Compiled 178 to 37 computations (79.2% saved)
ival-mult: 14.0ms (35.2% of total)ival-div: 11.0ms (27.6% of total)ival-add: 8.0ms (20.1% of total)ival-sub: 5.0ms (12.6% of total)exact: 1.0ms (2.5% of total)ival-neg: 1.0ms (2.5% of total)adjust: 0.0ms (0% 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)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))) |
#s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) |
(/.f64 z y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y))) |
(*.f64 x (/.f64 #s(literal 4 binary64) y)) |
(/.f64 #s(literal 4 binary64) y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) #s(approx (- x z) (neg.f64 z)) #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) #s(approx (- x z) (neg.f64 z)) #s(literal 2 binary64)) |
#s(approx (- x z) (neg.f64 z)) |
(/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ 4 y) x) 2) (/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) y))) |
#s(approx (+ (* (/ 4 y) x) 2) (/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) y)) |
(fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)) |
(/.f64 x y) |
(neg.f64 z) |
(*.f64 x #s(literal 4 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)))) |
(* 4 (/ x y)) |
(* -1 z) |
(- x z) |
2 |
(+ 2 (* 4 (/ x y))) |
(* 2 y) |
(+ (* 2 y) (* 4 x)) |
(* -1 (/ z y)) |
(- (/ x y) (/ z y)) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(/ x y) |
(* 4 x) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) |
(* x (+ 4 (* 2 (/ y x)))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 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))))) |
(* -1 (* x (- (/ z x) 1))) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
(* -1 (* x (- (* -2 (/ y x)) 4))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* -4 z) (* 2 y)) y) |
(/ z y) |
(/ 4 y) |
(/ (+ (* 2 y) (* 4 x)) y) |
(/ (- x z) y) |
(+ 2 (* 4 (/ (- x z) y))) |
(* y (+ 2 (* 4 (/ x y)))) |
(* -1 (* y (- (* -4 (/ x y)) 2))) |
(* -1 (/ (- (* -1 x) (* -1 z)) y)) |
(* -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)) |
(+ (* -1 (/ z y)) (/ x 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 (- (/ x z) 1)) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 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 (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | -inf | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (+ (* (/ z y) -4) 2) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* x (/ 4 y)) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) (- x z)) 2) (- x z) (/ (+ (* 2 y) (* x 4)) y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (+ (* 2 y) (* x 4)) (- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y) (neg z) (* x 4)) |
| 2.0ms | y | @ | -inf | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (+ (* (/ z y) -4) 2) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* x (/ 4 y)) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) (- x z)) 2) (- x z) (/ (+ (* 2 y) (* x 4)) y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (+ (* 2 y) (* x 4)) (- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y) (neg z) (* x 4)) |
| 2.0ms | x | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (+ (* (/ z y) -4) 2) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* x (/ 4 y)) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) (- x z)) 2) (- x z) (/ (+ (* 2 y) (* x 4)) y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (+ (* 2 y) (* x 4)) (- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y) (neg z) (* x 4)) |
| 2.0ms | y | @ | 0 | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (+ (* (/ z y) -4) 2) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* x (/ 4 y)) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) (- x z)) 2) (- x z) (/ (+ (* 2 y) (* x 4)) y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (+ (* 2 y) (* x 4)) (- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y) (neg z) (* x 4)) |
| 2.0ms | y | @ | inf | ((+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ (- x z) y) 4) 2) (+ (* (/ z y) -4) 2) (/ z y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* x (/ 4 y)) (/ 4 y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) (- x z)) 2) (- x z) (/ (+ (* 2 y) (* x 4)) y) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (+ (* (/ 4 y) x) 2) (+ (* 2 y) (* x 4)) (- (/ x y) (/ z y)) (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (* (- (/ x y) (/ z y)) 4) (/ x y) (neg z) (* x 4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 529 |
| 1 | 543 | 492 |
| 2 | 1748 | 447 |
| 3 | 6272 | 443 |
| 0 | 8379 | 415 |
| 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)))) |
(* 4 (/ x y)) |
(* -1 z) |
(- x z) |
2 |
(+ 2 (* 4 (/ x y))) |
(* 2 y) |
(+ (* 2 y) (* 4 x)) |
(* -1 (/ z y)) |
(- (/ x y) (/ z y)) |
(* -4 (/ z y)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(/ x y) |
(* 4 x) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(* x (+ (* -4 (/ z (* x y))) (+ (* 2 (/ 1 x)) (* 4 (/ 1 y))))) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) |
(* x (+ 4 (* 2 (/ y x)))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 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))))) |
(* -1 (* x (- (/ z x) 1))) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
(* -1 (* x (- (* -2 (/ y x)) 4))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(* 4 (/ (- x z) y)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(/ (+ (* -4 z) (* 2 y)) y) |
(/ z y) |
(/ 4 y) |
(/ (+ (* 2 y) (* 4 x)) y) |
(/ (- x z) y) |
(+ 2 (* 4 (/ (- x z) y))) |
(* y (+ 2 (* 4 (/ x y)))) |
(* -1 (* y (- (* -4 (/ x y)) 2))) |
(* -1 (/ (- (* -1 x) (* -1 z)) y)) |
(* -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)) |
(+ (* -1 (/ z y)) (/ x 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 (- (/ x z) 1)) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 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 (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
| Outputs |
|---|
(+ 1 (* 4 (/ (- (* 1/4 y) z) y))) |
(fma.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) #s(literal 4 binary64) #s(literal 1 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 (/.f64 #s(literal -4 binary64) y) z #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)) |
(* 4 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 4 binary64)) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 4 (/ x y))) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(+ (* 2 y) (* 4 x)) |
(fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(- (/ x y) (/ z y)) |
(/.f64 (-.f64 x z) y) |
(* -4 (/ z y)) |
(*.f64 (/.f64 z y) #s(literal -4 binary64)) |
(+ (* -4 (/ z y)) (* 4 (/ x y))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/ x y) |
(/.f64 x y) |
(* 4 x) |
(*.f64 x #s(literal 4 binary64)) |
(* x (+ (* 4 (/ (- 1/4 (/ z y)) x)) (+ (/ 1 x) (* 4 (/ 1 y))))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) x) #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) y)) x #s(literal 1 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 |
(* x (+ 1 (* -1 (/ z x)))) |
(-.f64 x z) |
(* x (+ (* 2 (/ 1 x)) (* 4 (/ 1 y)))) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(* x (+ 4 (* 2 (/ y x)))) |
(fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(/.f64 (-.f64 x z) y) |
(* x (+ (* -4 (/ z (* x y))) (* 4 (/ 1 y)))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* -1 (* x (- (* -1 (/ (+ 1 (* 4 (- 1/4 (/ z y)))) x)) (* 4 (/ 1 y))))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) x) #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) y)) x #s(literal 1 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)) |
(* -1 (* x (- (/ z x) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 z x) #s(literal 1 binary64))) |
(* x (+ (* 4 (/ 1 y)) (* 2 (/ 1 x)))) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(* -1 (* x (- (* -2 (/ y x)) 4))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) #s(literal 4 binary64))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(/.f64 (-.f64 x z) y) |
(* -1 (* x (- (* 4 (/ z (* x y))) (* 4 (/ 1 y))))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(* 4 (/ (- x z) y)) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(/ (+ (* 2 y) (* 4 (- x z))) y) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(/ (+ (* -4 z) (* 2 y)) y) |
(fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)) |
(/ z y) |
(/.f64 z y) |
(/ 4 y) |
(/.f64 #s(literal 4 binary64) y) |
(/ (+ (* 2 y) (* 4 x)) y) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #s(literal 2 binary64)) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(+ 2 (* 4 (/ (- x z) y))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64)) |
(* y (+ 2 (* 4 (/ x y)))) |
(fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) |
(* -1 (* y (- (* -4 (/ x y)) 2))) |
(*.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal -4 binary64) (/.f64 x y)) #s(literal 2 binary64))) |
(* -1 (/ (- (* -1 x) (* -1 z)) y)) |
(/.f64 (-.f64 x z) y) |
(* -4 (/ (- (* -1 x) (* -1 z)) y)) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(+ 1 (* 4 (/ (+ x (* 1/4 y)) y))) |
(fma.f64 (/.f64 x y) #s(literal 4 binary64) #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) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(* z (- (+ (* 4 (/ (+ 1/4 (/ x y)) z)) (/ 1 z)) (* 4 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 x z) #s(literal -1 binary64)) y) (/.f64 #s(literal 2 binary64) z)) z) |
(* z (- (+ (* 4 (/ x (* y z))) (* 2 (/ 1 z))) (* 4 (/ 1 y)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 x z) #s(literal -1 binary64)) y) (/.f64 #s(literal 2 binary64) z)) z) |
(* z (- (* 2 (/ 1 z)) (* 4 (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -2 binary64) z)) z) |
(* z (- (/ x z) 1)) |
(*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) z) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(*.f64 (/.f64 (+.f64 (/.f64 x z) #s(literal -1 binary64)) y) z) |
(* z (- (* 4 (/ x (* y z))) (* 4 (/ 1 y)))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z) |
(* -1 (* z (+ (* -1 (/ (+ 1 (* 4 (+ 1/4 (/ x y)))) z)) (* 4 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 x z) #s(literal -1 binary64)) y) (/.f64 #s(literal 2 binary64) z)) z) |
(* -1 (* z (+ (* -1 (/ (+ 2 (* 4 (/ x y))) z)) (* 4 (/ 1 y))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 x z) #s(literal -1 binary64)) y) (/.f64 #s(literal 2 binary64) z)) z) |
(* -1 (* z (- (* 4 (/ 1 y)) (* 2 (/ 1 z))))) |
(*.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 #s(literal -2 binary64) z)) z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(fma.f64 (/.f64 x z) z (neg.f64 z)) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(*.f64 (/.f64 (+.f64 (/.f64 x z) #s(literal -1 binary64)) y) z) |
(* -1 (* z (+ (* -4 (/ x (* y z))) (* 4 (/ 1 y))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) z) x #s(literal -4 binary64)) y) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 231 |
| 0 | 56 | 225 |
| 1 | 225 | 225 |
| 2 | 1706 | 225 |
| 0 | 8831 | 211 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))) |
#s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))) |
(fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)) |
(/.f64 z y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y))) |
(*.f64 x (/.f64 #s(literal 4 binary64) y)) |
(/.f64 #s(literal 4 binary64) y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) #s(approx (- x z) (neg.f64 z)) #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 4 binary64) y) #s(approx (- x z) (neg.f64 z)) #s(literal 2 binary64)) |
#s(approx (- x z) (neg.f64 z)) |
(/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) y) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ 4 y) x) 2) (/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) y))) |
#s(approx (+ (* (/ 4 y) x) 2) (/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) y)) |
(fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) |
(-.f64 (/.f64 x y) (/.f64 z y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
(*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64)) |
(/.f64 x y) |
(neg.f64 z) |
(*.f64 x #s(literal 4 binary64)) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64)))) |
#s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 #s(literal -4 binary64) (/.f64 z y) #s(literal 2 binary64))) |
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(fma.f64 (/.f64 y (fabs.f64 y)) (/.f64 x (fabs.f64 y)) (/.f64 (*.f64 (neg.f64 y) z) (*.f64 y y))) |
(fma.f64 (/.f64 y (neg.f64 y)) (/.f64 x (neg.f64 y)) (/.f64 (*.f64 (neg.f64 y) z) (*.f64 y y))) |
(fma.f64 (/.f64 x (neg.f64 y)) (/.f64 y (neg.f64 y)) (/.f64 (*.f64 (neg.f64 y) z) (*.f64 y y))) |
(fma.f64 (/.f64 y y) (/.f64 x y) (/.f64 (*.f64 (neg.f64 y) z) (*.f64 y y))) |
(fma.f64 (/.f64 x y) (/.f64 y y) (/.f64 (*.f64 (neg.f64 y) z) (*.f64 y y))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (*.f64 y y)) (/.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 y y))) |
(-.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 x (neg.f64 y)) (*.f64 y (neg.f64 y))) (/.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 y)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 z x) y)) (/.f64 (*.f64 z z) (*.f64 (+.f64 z x) y))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) y)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) y))) |
(-.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 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (+.f64 z x) y)) (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (/.f64 (+.f64 z x) y))) |
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 z y) (/.f64 (+.f64 z x) y) (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 (+.f64 z x) y) (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)) |
(+.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 z x) y)) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (+.f64 z x) y))) |
(+.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 (+.f64 z x) y)) (/.f64 (*.f64 (neg.f64 (/.f64 z y)) (/.f64 z y)) (/.f64 (+.f64 z x) y))) |
(+.f64 (*.f64 (/.f64 y y) (/.f64 x y)) (/.f64 (*.f64 (neg.f64 y) z) (*.f64 y y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
(*.f64 (/.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) (fabs.f64 y)) (/.f64 #s(literal 4 binary64) (fabs.f64 y))) |
(*.f64 (/.f64 #s(literal 4 binary64) (fabs.f64 y)) (/.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) (fabs.f64 y))) |
(*.f64 (/.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) (neg.f64 y)) (/.f64 #s(literal -4 binary64) y)) |
(*.f64 (/.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) y) (/.f64 #s(literal 4 binary64) y)) |
(*.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) (neg.f64 y))) |
(*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64)) |
(*.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) y)) |
(*.f64 (-.f64 x z) (/.f64 #s(literal 4 binary64) y)) |
(*.f64 #s(literal 4 binary64) (/.f64 (-.f64 x z) y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y)) #s(literal 4 binary64))) (neg.f64 (/.f64 (+.f64 z x) y))) |
(/.f64 (neg.f64 (*.f64 (/.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 4 binary64))) (neg.f64 (fma.f64 (/.f64 z y) (/.f64 (+.f64 z x) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 x z)) #s(literal 4 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) #s(literal 4 binary64))) (neg.f64 (*.f64 y y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y)))) (neg.f64 (/.f64 (+.f64 z x) y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (/.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 (fma.f64 (/.f64 z y) (/.f64 (+.f64 z x) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (-.f64 x z)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y x (*.f64 (neg.f64 y) z)))) (neg.f64 (*.f64 y y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64)))) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y)) #s(literal 4 binary64)) (/.f64 (+.f64 z x) y)) |
(/.f64 (*.f64 (/.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 4 binary64)) (fma.f64 (/.f64 z y) (/.f64 (+.f64 z x) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 x z)) #s(literal 4 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (fma.f64 y x (*.f64 (neg.f64 y) z)) #s(literal 4 binary64)) (*.f64 y y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (/.f64 (+.f64 z x) y) (/.f64 (-.f64 x z) y))) (/.f64 (+.f64 z x) y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 z y) (/.f64 (+.f64 z x) y) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 4 binary64) (neg.f64 (-.f64 x z))) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 y x (*.f64 (neg.f64 y) z))) (*.f64 y y)) |
(/.f64 (neg.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 (-.f64 x z) #s(literal 4 binary64)) y) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(neg.f64 (/.f64 x (neg.f64 y))) |
(neg.f64 z) |
(*.f64 x #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) x) |
Compiled 13 205 to 1 478 computations (88.8% saved)
11 alts after pruning (1 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 333 | 1 | 334 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 334 | 11 | 345 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 67.2% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x #s(literal 2 binary64))) |
| ✓ | 68.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
| ✓ | 36.7% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
| ✓ | 37.1% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 #s(literal -4 binary64) y) z)) |
| ✓ | 67.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
| ✓ | 36.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y))) |
| ✓ | 68.0% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))) |
| 67.9% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)))) | |
| ✓ | 67.3% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ 4 y) x) 2) (/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) y))) |
| ✓ | 37.2% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
| ✓ | 32.6% | #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
Compiled 696 to 303 computations (56.5% 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)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y))) |
#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)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #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)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) #s(approx (- x z) (neg.f64 z)) #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal -4 binary64) z)) y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 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))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ 4 y) x) 2) (/.f64 (fma.f64 #s(literal 2 binary64) y (*.f64 x #s(literal 4 binary64))) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (fma.f64 (-.f64 x z) #s(literal 4 binary64) y)) y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (-.f64 (/.f64 x y) (/.f64 z y)) #s(literal 4 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) x (neg.f64 (fma.f64 #s(literal -4 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 z y)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) #s(literal 4 binary64)) y) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) y x) z) y) #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:
| 140.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 8.0ms | y |
| 6.0ms | z |
| 6.0ms | x |
| 5.0ms | (+.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 |
|---|---|---|
| 100.0% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 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 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
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)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y))) |
#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)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #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)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) #s(approx (- x z) (neg.f64 z)) #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal -4 binary64) z)) y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) y)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))) |
5 calls:
| 7.0ms | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 4.0ms | z |
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 99.8% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
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)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y))) |
#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)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #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)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) #s(approx (- x z) (neg.f64 z)) #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal -4 binary64) z)) y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(approx (* 4 (- (+ x (* y 1/4)) z)) (*.f64 #s(literal 4 binary64) x)) y)) |
| 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)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #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 |
| 4.0ms | x |
| 4.0ms | z |
| 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 |
|---|---|---|
| 98.8% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 98.8% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 89.9% | 3 | x |
| 86.7% | 3 | y |
| 89.6% | 3 | z |
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)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y))) |
#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)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #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)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #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)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))) |
4 calls:
| 4.0ms | (+.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 | z |
| 3.0ms | x |
| 3.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 3 | z |
| 88.6% | 3 | x |
| 69.9% | 2 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 69.9% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
Compiled 26 to 28 computations (-7.7% 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)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y))) |
#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)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #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)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
3 calls:
| 5.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.3% | 3 | y |
| 82.8% | 3 | x |
| 71.6% | 3 | z |
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)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y))) |
#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)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #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)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.8% | 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)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y))) |
#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)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
5 calls:
| 12.0ms | y |
| 2.0ms | z |
| 2.0ms | x |
| 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)) |
| 2.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.2% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 67.2% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
| 58.3% | 3 | z |
| 58.4% | 4 | y |
| 60.1% | 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)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y))) |
#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 x (/.f64 #s(literal 4 binary64) y))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(literal 2 binary64)) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
2 calls:
| 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 |
|---|---|---|
| 67.2% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 67.2% | 3 | (+.f64 #s(literal 1 binary64) (/.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)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
| Outputs |
|---|
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.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)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) |
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 |
|---|---|---|
| 66.7% | 3 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 66.7% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) |
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:
| 13.0ms | (+.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 | x |
| 1.0ms | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.6% | 1 | y |
| 32.6% | 1 | z |
| 32.6% | 1 | x |
| 32.6% | 1 | (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y) |
| 32.6% | 1 | (+.f64 #s(literal 1 binary64) (/.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 | 106872.68606314863 | 431554.5426456557 |
| 0.0ms | -1.7541414506696618e+28 | 1.3990321778165609 |
Compiled 16 to 18 computations (-12.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 8.588644689251849e+89 | 2.0174172152371025e+93 |
| 58.0ms | -3296107080746.0093 | -1497544421.0874553 |
| 61.0ms | 256× | 0 | valid |
Compiled 816 to 690 computations (15.4% saved)
ival-mult: 3.0ms (32.7% of total)ival-div: 2.0ms (21.8% of total)ival-add: 2.0ms (21.8% of total)ival-sub: 1.0ms (10.9% of total)ival-true: 0.0ms (0% of total)adjust: 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 |
|---|---|---|
| 50.0ms | 5.973020966418995e+125 | 1.5138478627392468e+127 |
| 11.0ms | -7.942847954476998e+80 | -2.0917840201998188e+79 |
| 52.0ms | 224× | 0 | valid |
Compiled 702 to 592 computations (15.7% saved)
ival-true: 21.0ms (45.4% of total)ival-mult: 20.0ms (43.2% of total)ival-div: 2.0ms (4.3% of total)ival-add: 2.0ms (4.3% of total)ival-sub: 1.0ms (2.2% of total)adjust: 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 | 5.973020966418995e+125 | 1.5138478627392468e+127 |
| 1.0ms | -7.942847954476998e+80 | -2.0917840201998188e+79 |
Compiled 702 to 592 computations (15.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.005774711515247 | 106872.68606314863 |
| 0.0ms | -1.7541414506696618e+28 | 1.3990321778165609 |
Compiled 16 to 18 computations (-12.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.005774711515247 | 106872.68606314863 |
| 0.0ms | -1.7541414506696618e+28 | 1.3990321778165609 |
Compiled 16 to 18 computations (-12.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.005774711515247 | 106872.68606314863 |
| 0.0ms | -1.7541414506696618e+28 | 1.3990321778165609 |
Compiled 16 to 18 computations (-12.5% saved)
| 1× | egg-herbie |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 579 |
| 1 | 114 | 579 |
| 2 | 154 | 579 |
| 3 | 247 | 579 |
| 4 | 523 | 579 |
| 5 | 1138 | 541 |
| 6 | 1788 | 541 |
| 7 | 3203 | 541 |
| 8 | 6879 | 541 |
| 1× | node 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))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))) |
(if (<=.f64 (+.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 -9999999999999999583119736832 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (if (<=.f64 (+.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 200000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #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 z #s(literal -750000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))) (if (<=.f64 z #s(literal 6199999999999999769585856406712860890249945764735421115882188623308991819755191853710835712 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)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))))) |
(if (<=.f64 x #s(literal -279999999999999984277663870899850369617022570756797417640505226787404636819030016 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 679999999999999978971422960420225105915727830391204104187410287139694401036863693702426697225704080886387619046325160761098240 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))))) |
(if (<=.f64 x #s(literal -279999999999999984277663870899850369617022570756797417640505226787404636819030016 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 679999999999999978971422960420225105915727830391204104187410287139694401036863693702426697225704080886387619046325160761098240 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #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 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (+.f64 x (*.f64 y #s(literal 1/4 binary64))) z)) y)) #s(literal -9999999999999999583119736832 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 (+.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 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)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))))) |
(if (<=.f64 (+.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 -9999999999999999583119736832 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y))) (if (<=.f64 (+.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 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)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))))) |
(if (<=.f64 (+.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 -9999999999999999583119736832 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) (if (<=.f64 (+.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 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)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))))) |
#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))) |
#s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (fma.f64 (/.f64 #s(literal 4 binary64) y) (-.f64 x z) #s(literal 2 binary64))) |
(if (<=.f64 (+.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 -9999999999999999583119736832 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 (-.f64 x z) y) #s(literal 4 binary64))) (if (<=.f64 (+.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 200000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #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 (or (<=.f64 (+.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 -9999999999999999583119736832 binary64)) (not (<=.f64 (+.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 200000 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)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64))))) |
(if (<=.f64 z #s(literal -750000000000 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))) (if (<=.f64 z #s(literal 6199999999999999769585856406712860890249945764735421115882188623308991819755191853710835712 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)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))))) |
(if (or (<=.f64 z #s(literal -750000000000 binary64)) (not (<=.f64 z #s(literal 6199999999999999769585856406712860890249945764735421115882188623308991819755191853710835712 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #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 -279999999999999984277663870899850369617022570756797417640505226787404636819030016 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 679999999999999978971422960420225105915727830391204104187410287139694401036863693702426697225704080886387619046325160761098240 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))))) |
(if (or (<=.f64 x #s(literal -279999999999999984277663870899850369617022570756797417640505226787404636819030016 binary64)) (not (<=.f64 x #s(literal 679999999999999978971422960420225105915727830391204104187410287139694401036863693702426697225704080886387619046325160761098240 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)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 z y) #s(literal -4 binary64) #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -279999999999999984277663870899850369617022570756797417640505226787404636819030016 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 x #s(literal 679999999999999978971422960420225105915727830391204104187410287139694401036863693702426697225704080886387619046325160761098240 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))))) |
(if (or (<=.f64 x #s(literal -279999999999999984277663870899850369617022570756797417640505226787404636819030016 binary64)) (not (<=.f64 x #s(literal 679999999999999978971422960420225105915727830391204104187410287139694401036863693702426697225704080886387619046325160761098240 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)) #s(approx (+ (* (/ (- x z) y) 4) 2) (fma.f64 (/.f64 #s(literal -4 binary64) y) z #s(literal 2 binary64))))) |
(if (<=.f64 (+.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 -9999999999999999583119736832 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 (/.f64 x y) #s(literal 4 binary64))) (if (<=.f64 (+.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 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)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))))) |
(if (<=.f64 (+.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 -9999999999999999583119736832 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) (*.f64 x (/.f64 #s(literal 4 binary64) y))) (if (<=.f64 (+.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 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)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))))) |
(if (<=.f64 (+.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 -9999999999999999583119736832 binary64)) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))) (if (<=.f64 (+.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 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)) #s(approx (* (/ (- x z) y) 4) (*.f64 (/.f64 z y) #s(literal -4 binary64)))))) |
(if (or (<=.f64 (+.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 -9999999999999999583119736832 binary64)) (not (<=.f64 (+.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 4 binary64)))) #s(approx (+ 1 (/ (* 4 (- (+ x (* y 1/4)) z)) y)) #s(approx (* (/ (- x z) y) 4) (*.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)) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 156 |
| 0 | 36 | 156 |
| 1 | 138 | 156 |
| 2 | 981 | 156 |
| 0 | 8359 | 145 |
| 0 | 120 | 471 |
| 1 | 387 | 431 |
| 2 | 1189 | 398 |
| 3 | 4983 | 390 |
| 0 | 8286 | 360 |
| 0 | 169 | 529 |
| 1 | 543 | 492 |
| 2 | 1748 | 447 |
| 3 | 6272 | 443 |
| 0 | 8379 | 415 |
| 0 | 176 | 694 |
| 1 | 588 | 623 |
| 2 | 1941 | 562 |
| 3 | 7873 | 557 |
| 0 | 9032 | 519 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 579 to 85 computations (85.3% saved)
Compiled 1 184 to 194 computations (83.6% saved)
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