
Time bar (total: 7.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 5 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 6 |
| 31.3% | 31.2% | 68.6% | 0.2% | 0% | 0% | 0% | 7 |
| 40.6% | 40.5% | 59.3% | 0.2% | 0% | 0% | 0% | 8 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 9 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 10 |
| 54.7% | 54.6% | 45.2% | 0.2% | 0% | 0% | 0% | 11 |
| 62.5% | 62.4% | 37.4% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 19 to 15 computations (21.1% saved)
| 820.0ms | 8 256× | 0 | valid |
ival-mult: 359.0ms (68.5% of total)ival-sub: 102.0ms (19.5% of total)ival-div: 49.0ms (9.4% of total)ival-true: 5.0ms (1% of total)exact: 5.0ms (1% of total)ival-assert: 4.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 97 | 1 | (-6.450375605528745e+172 6.051565172957051e-74 3.8048032148235014e+249 3.057844972833026e+48) | 4 | (-8.390798654809409e-249 -5.8287197189951546e-61 3.1235553619691386e-261 -3.061990139959057e-252) | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| 5 | 0 | - | 0 | - | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) |
| 0 | 0 | - | 0 | - | (*.f64 y t) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 y #s(literal 2 binary64)) z) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 z #s(literal 2 binary64)) z) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | o/o | 13 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | overflow | 34 | |
| ↳ | (*.f64 y t) | overflow | 32 | |
| ↳ | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | overflow | 101 | |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | overflow | 78 | |
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | n/o | 9 | 0 |
| ↳ | (*.f64 y t) | overflow | 32 | |
| ↳ | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | overflow | 101 | |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | overflow | 78 | |
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | o/n | 7 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | overflow | 34 | |
-.f64 | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | nan-rescue | 5 | 0 |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | overflow | 78 | |
| ↳ | (*.f64 y t) | overflow | 32 | |
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | u/n | 2 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | underflow | 25 | |
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | u/u | 2 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | underflow | 25 | |
| ↳ | (*.f64 y t) | underflow | 27 | |
| ↳ | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | underflow | 7 | |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | underflow | 63 | |
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | n/u | 1 | 0 |
| ↳ | (*.f64 y t) | underflow | 27 | |
| ↳ | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | underflow | 7 | |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | underflow | 63 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 34 | 19 |
| - | 1 | 202 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 34 | 0 | 19 |
| - | 1 | 0 | 202 |
| number | freq |
|---|---|
| 0 | 221 |
| 1 | 31 |
| 2 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 211.0ms | 512× | 0 | valid |
Compiled 151 to 43 computations (71.5% saved)
ival-mult: 15.0ms (59.8% of total)ival-sub: 6.0ms (23.9% of total)ival-div: 3.0ms (12% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 028× | times-frac |
| 1 016× | lower-fma.f64 |
| 1 016× | lower-fma.f32 |
| 908× | div-sub |
| 838× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 250 |
| 1 | 218 | 244 |
| 2 | 601 | 238 |
| 3 | 1943 | 238 |
| 4 | 4398 | 238 |
| 5 | 6221 | 238 |
| 6 | 7521 | 238 |
| 7 | 7782 | 238 |
| 8 | 7835 | 238 |
| 9 | 7870 | 238 |
| 0 | 13 | 17 |
| 0 | 21 | 17 |
| 1 | 38 | 17 |
| 2 | 80 | 17 |
| 3 | 195 | 17 |
| 4 | 391 | 17 |
| 5 | 687 | 17 |
| 6 | 1540 | 17 |
| 7 | 2286 | 17 |
| 8 | 2461 | 17 |
| 9 | 2515 | 17 |
| 10 | 2538 | 17 |
| 11 | 2540 | 17 |
| 12 | 2549 | 17 |
| 13 | 2561 | 17 |
| 14 | 2580 | 17 |
| 15 | 2580 | 17 |
| 0 | 2580 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| Outputs |
|---|
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
(fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) #s(literal 2 binary64) x) |
Compiled 17 to 13 computations (23.5% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 80.0% | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | |
| cost-diff | 128 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | |
| cost-diff | 128 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 1 028× | times-frac |
| 1 016× | lower-fma.f64 |
| 1 016× | lower-fma.f32 |
| 792× | lower-*.f32 |
| 782× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 65 |
| 0 | 21 | 65 |
| 1 | 38 | 65 |
| 2 | 80 | 65 |
| 3 | 195 | 65 |
| 4 | 391 | 65 |
| 5 | 687 | 65 |
| 6 | 1540 | 65 |
| 7 | 2286 | 65 |
| 8 | 2461 | 65 |
| 9 | 2515 | 65 |
| 10 | 2538 | 65 |
| 11 | 2540 | 65 |
| 12 | 2549 | 65 |
| 13 | 2561 | 65 |
| 14 | 2580 | 65 |
| 15 | 2580 | 65 |
| 0 | 2580 | 62 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
x |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) z) |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
z |
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) |
(*.f64 (*.f64 z #s(literal 2 binary64)) z) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 y t) |
t |
| Outputs |
|---|
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
(fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) #s(literal 2 binary64) x) |
x |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
(*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (*.f64 #s(literal -2 binary64) z)) |
(*.f64 (*.f64 y #s(literal 2 binary64)) z) |
(*.f64 z (*.f64 #s(literal 2 binary64) y)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
z |
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) |
(fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) |
(*.f64 (*.f64 z #s(literal 2 binary64)) z) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 y t) |
(*.f64 t y) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) | |
| accuracy | 1.1015583716604118 | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | |
| accuracy | 22.582728930766866 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| 39.0ms | 256× | 0 | valid |
Compiled 67 to 15 computations (77.6% saved)
ival-mult: 7.0ms (61.3% of total)ival-sub: 2.0ms (17.5% of total)ival-div: 1.0ms (8.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 y #s(literal 2 binary64)) z) (patch (*.f64 (*.f64 y #s(literal 2 binary64)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 2 binary64)) (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- x (/ y z)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 t) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow z 2)) (taylor 0 t) (#s(alt (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf t) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 2 (/ z t))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ z t)) (taylor inf t) (#s(alt (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | t | @ | inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t))) |
| 2.0ms | y | @ | 0 | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t))) |
| 2.0ms | y | @ | inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t))) |
| 2.0ms | z | @ | 0 | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t))) |
| 2.0ms | z | @ | inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t))) |
| 1× | egg-herbie |
| 10 952× | lower-fma.f64 |
| 10 952× | lower-fma.f32 |
| 5 728× | lower-*.f64 |
| 5 728× | lower-*.f32 |
| 3 132× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 347 | 2160 |
| 1 | 1030 | 2124 |
| 2 | 3147 | 2097 |
| 0 | 8645 | 1977 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(/ y z) |
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) |
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) |
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) |
(* 2 (pow z 2)) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(* -2 (/ z t)) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t) |
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t) |
(* -1 (* t y)) |
(* t (- (* 2 (/ (pow z 2) t)) y)) |
(* t (- (* 2 (/ (pow z 2) t)) y)) |
(* t (- (* 2 (/ (pow z 2) t)) y)) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
(* -2 (/ z t)) |
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t)) |
(* -1 (* t y)) |
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y)))) |
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y)))) |
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y)))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
(* -2 (/ z t)) |
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))) |
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* -1 (* t y)) |
(- (* 2 (pow z 2)) (* t y)) |
(- (* 2 (pow z 2)) (* t y)) |
(- (* 2 (pow z 2)) (* t y)) |
x |
(+ x (* -1 (/ y z))) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
(/ y z) |
(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z) |
(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z) |
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (pow z 2)) |
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2))))) |
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2))))) |
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2))))) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z))) |
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(/ y z) |
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z)) |
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z)) |
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (pow z 2)) |
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2))))) |
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2))))) |
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2))))) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(/ y z) |
(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z))) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 (pow z 2)) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* -1 (* t y)) |
(* y (- (* 2 (/ (pow z 2) y)) t)) |
(* y (- (* 2 (/ (pow z 2) y)) t)) |
(* y (- (* 2 (/ (pow z 2) y)) t)) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 (* y z)) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* 2 y) |
(* -1 (* t y)) |
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t)))) |
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t)))) |
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t)))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
| Outputs |
|---|
(- x (/ y z)) |
(-.f64 x (/.f64 y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 y z))) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(/ y z) |
(/.f64 y z) |
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) |
(*.f64 (fma.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64)) y (/.f64 #s(literal 1 binary64) z)) y) |
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))))) t (/.f64 y z)) |
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 t (pow.f64 z #s(literal 7 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 z #s(literal 5 binary64))))) t (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y (pow.f64 z #s(literal 3 binary64))))) t (/.f64 y z)) |
(* 2 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
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(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t) y) |
(* y (- (* 2 (/ (pow z 2) y)) t)) |
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t) y) |
(* y (- (* 2 (/ (pow z 2) y)) t)) |
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t) y) |
(- x (* -2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(-.f64 x (/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t)) t)) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) t) #s(literal 4 binary64) (/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 16 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) y))) y)) y) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
(* -2 (/ z t)) |
(*.f64 #s(literal -2 binary64) (/.f64 z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y))) |
(/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t)) t) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) |
(fma.f64 (/.f64 #s(literal -2 binary64) t) z (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) t) #s(literal -4 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -16 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) y) (*.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal -8 binary64) (pow.f64 t #s(literal 3 binary64))))) y)) y)) |
(* 2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 2 binary64)) |
(* 2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 2 binary64)) |
(* 2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 2 binary64)) |
(* 2 (* y z)) |
(*.f64 (*.f64 z y) #s(literal 2 binary64)) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* -1 (* t y)) |
(*.f64 (neg.f64 t) y) |
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64) t) (neg.f64 y)) |
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64) t) (neg.f64 y)) |
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64) t) (neg.f64 y)) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) x) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) x) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) x) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x) |
| 8 416× | lower-fma.f64 |
| 8 416× | lower-fma.f32 |
| 6 098× | lower-*.f32 |
| 6 088× | lower-*.f64 |
| 3 214× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 49 |
| 0 | 21 | 49 |
| 1 | 71 | 49 |
| 2 | 541 | 49 |
| 3 | 7465 | 49 |
| 0 | 8831 | 46 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) z) |
(*.f64 y #s(literal 2 binary64)) |
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (/.f64 (neg.f64 z) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) x) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) (*.f64 #s(literal -2 binary64) (*.f64 z y))) #s(literal -3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) (*.f64 #s(literal -2 binary64) (*.f64 z y))) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z)) (-.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64)))) (fma.f64 (*.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x)) |
(*.f64 (pow.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) (*.f64 #s(literal -2 binary64) (*.f64 z y))) #s(literal -3 binary64)))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) (*.f64 #s(literal -2 binary64) (*.f64 z y))) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) (*.f64 x x))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (/.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (pow.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) (*.f64 x x)))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (pow.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) (*.f64 #s(literal -2 binary64) (*.f64 z y))) #s(literal -3 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z) #s(literal 6 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) z x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
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(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) (neg.f64 (neg.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 t) y) (-.f64 (*.f64 (neg.f64 t) y) (*.f64 (*.f64 z #s(literal 2 binary64)) z)))) (-.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 t) y) (-.f64 (*.f64 (neg.f64 t) y) (*.f64 (*.f64 z #s(literal 2 binary64)) z)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (*.f64 (*.f64 t (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (neg.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (neg.f64 t) y) (-.f64 (*.f64 (neg.f64 t) y) (*.f64 (*.f64 z #s(literal 2 binary64)) z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) |
(/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) #s(literal 1 binary64)) |
(neg.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)) (-.f64 (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)) (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))))) |
(fma.f64 (*.f64 t #s(literal -1 binary64)) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) |
(fma.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 z (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))))) |
(fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))))) |
(fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 z z)) (/.f64 (*.f64 z z) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))))) |
(fma.f64 (*.f64 z z) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 z z)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 t) y)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3/2 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))))) |
(fma.f64 (*.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 t y) (*.f64 (*.f64 z #s(literal 2 binary64)) z)) |
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z #s(literal 2 binary64)) z)) |
(fma.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (pow.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))))) |
(fma.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))))) |
(fma.f64 (*.f64 t y) #s(literal -1 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) z)) |
(fma.f64 t (neg.f64 y) (*.f64 (*.f64 z #s(literal 2 binary64)) z)) |
(fma.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))))) |
(fma.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (/.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))))) |
(fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))))) |
(fma.f64 (*.f64 z #s(literal 2 binary64)) z (*.f64 (neg.f64 t) y)) |
(fma.f64 z (/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))))) |
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (*.f64 (neg.f64 t) y)) |
(fma.f64 #s(literal 2 binary64) (*.f64 z z) (*.f64 (neg.f64 t) y)) |
(fma.f64 y (neg.f64 t) (*.f64 (*.f64 z #s(literal 2 binary64)) z)) |
(-.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 t y)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 1 binary64)) (/.f64 (*.f64 t y) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) |
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 t y)) |
(+.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 z z))) (*.f64 (neg.f64 t) y)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))))) |
(+.f64 (*.f64 (neg.f64 t) y) (*.f64 (*.f64 z #s(literal 2 binary64)) z)) |
(+.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 (neg.f64 t) y)) |
Compiled 18 772 to 1 564 computations (91.7% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 543 | 5 | 548 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 544 | 5 | 549 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 66.6% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
| ▶ | 60.2% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) |
| ▶ | 57.2% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) |
| ▶ | 60.2% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
| ▶ | 17.9% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) |
Compiled 104 to 102 computations (1.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) y) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) | |
| cost-diff | 5760 | (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) | |
| cost-diff | 0 | (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) (/.f64 z t)) | |
| cost-diff | 0 | #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) t) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
| 8 190× | lower-fma.f32 |
| 8 182× | lower-fma.f64 |
| 3 254× | lower-*.f32 |
| 3 242× | lower-*.f64 |
| 1 834× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 298 |
| 0 | 64 | 298 |
| 1 | 114 | 298 |
| 2 | 209 | 298 |
| 3 | 483 | 295 |
| 4 | 1028 | 295 |
| 5 | 1907 | 291 |
| 6 | 4715 | 291 |
| 7 | 6126 | 291 |
| 0 | 8072 | 288 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
x |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(/.f64 #s(literal 2 binary64) t) |
#s(literal 2 binary64) |
t |
z |
x |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) |
x |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))) |
(*.f64 #s(literal -2 binary64) (/.f64 z t)) |
#s(literal -2 binary64) |
(/.f64 z t) |
z |
t |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) |
z |
(fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)) |
(*.f64 #s(literal -2 binary64) z) |
#s(literal -2 binary64) |
(*.f64 t y) |
t |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(/.f64 t (pow.f64 z #s(literal 3 binary64))) |
t |
(pow.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
x |
| Outputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
x |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(/.f64 #s(literal 2 binary64) t) |
#s(literal 2 binary64) |
t |
z |
x |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64)))) |
x |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))) |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) (/.f64 z t)) |
(*.f64 (/.f64 z t) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 z t) |
z |
t |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))) |
(/.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) |
(*.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
(/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) |
z |
(fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)) |
(*.f64 #s(literal -2 binary64) z) |
#s(literal -2 binary64) |
(*.f64 t y) |
t |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) z) z) (*.f64 t y) #s(literal -1 binary64)) (/.f64 y z) x)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) |
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) z) z) (*.f64 t y) #s(literal -1 binary64)) (/.f64 y z) x) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 t y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
y |
(/.f64 t (pow.f64 z #s(literal 3 binary64))) |
t |
(pow.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.3895086100168847 | (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) | |
| accuracy | 2.411882981146057 | (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) | |
| accuracy | 6.293944321978271 | (/.f64 t (pow.f64 z #s(literal 3 binary64))) | |
| accuracy | 25.235276818208302 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) | |
| accuracy | 0.7499917428166807 | (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)) | |
| accuracy | 4.6407874541930045 | (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))) | |
| accuracy | 20.98442864861276 | (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) | |
| accuracy | 47.37486165986559 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0 | (*.f64 #s(literal -2 binary64) (/.f64 z t)) | |
| accuracy | 0.00390625 | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) | |
| accuracy | 33.97319701575951 | #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) t) | |
| accuracy | 0.10546875 | (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) | |
| accuracy | 25.45347233382289 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0.00390625 | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) | |
| accuracy | 28.543168378004676 | #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) |
| 91.0ms | 256× | 0 | valid |
Compiled 249 to 40 computations (83.9% saved)
ival-mult: 32.0ms (58.2% of total)ival-div: 11.0ms (20% of total)ival-add: 4.0ms (7.3% of total)ival-pow: 4.0ms (7.3% of total)ival-sub: 2.0ms (3.6% of total)exact: 1.0ms (1.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))) (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -2 binary64) (/.f64 z t)) (patch (*.f64 #s(literal -2 binary64) (/.f64 z t)) #<representation binary64>) () ()) |
#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))) (patch (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) y) (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (patch (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (patch (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) y) (patch (*.f64 #s(literal -1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)) (patch (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)) #<representation binary64>) () ()) |
#s(alt (/.f64 t (pow.f64 z #s(literal 3 binary64))) (patch (/.f64 t (pow.f64 z #s(literal 3 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- x (/ y z)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 t) (#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (taylor inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) (patch (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | z | @ | -inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (* -1/2 y) (+ (* (* -2 z) z) (* t y)) (/ t (pow z 3))) |
| 6.0ms | t | @ | inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (* -1/2 y) (+ (* (* -2 z) z) (* t y)) (/ t (pow z 3))) |
| 3.0ms | t | @ | 0 | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (* -1/2 y) (+ (* (* -2 z) z) (* t y)) (/ t (pow z 3))) |
| 3.0ms | z | @ | inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (* -1/2 y) (+ (* (* -2 z) z) (* t y)) (/ t (pow z 3))) |
| 3.0ms | t | @ | -inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (* -1/2 y) (+ (* (* -2 z) z) (* t y)) (/ t (pow z 3))) |
| 1× | egg-herbie |
| 9 032× | lower-fma.f64 |
| 9 032× | lower-fma.f32 |
| 5 420× | lower-*.f64 |
| 5 420× | lower-*.f32 |
| 3 554× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 684 | 9776 |
| 1 | 2116 | 9633 |
| 2 | 6596 | 9583 |
| 0 | 8250 | 9005 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
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(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
| Outputs |
|---|
(- x (/ y z)) |
(-.f64 x (/.f64 y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(/ y z) |
(/.f64 y z) |
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (/.f64 y z)) |
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z)) |
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z)) |
(- x (/ y z)) |
(-.f64 x (/.f64 y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(* 2 (/ z t)) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/ (+ (* 2 z) (* t x)) t) |
(/.f64 (fma.f64 #s(literal 2 binary64) z (*.f64 t x)) t) |
(/ (+ (* 2 z) (* t x)) t) |
(/.f64 (fma.f64 #s(literal 2 binary64) z (*.f64 t x)) t) |
(/ (+ (* 2 z) (* t x)) t) |
(/.f64 (fma.f64 #s(literal 2 binary64) z (*.f64 t x)) t) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(- x (/ y z)) |
(-.f64 x (/.f64 y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(/ y z) |
(/.f64 y z) |
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (/.f64 y z)) |
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z)) |
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z)) |
(* -2 (/ z t)) |
(*.f64 #s(literal -2 binary64) (/.f64 z t)) |
(* -2 (/ z t)) |
(*.f64 #s(literal -2 binary64) (/.f64 z t)) |
(* -2 (/ z t)) |
(*.f64 #s(literal -2 binary64) (/.f64 z t)) |
(* -2 (/ z t)) |
(*.f64 #s(literal -2 binary64) (/.f64 z t)) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(- x (/ y z)) |
(-.f64 x (/.f64 y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) |
(*.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y) |
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 (neg.f64 y) z)) |
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 (neg.f64 y) z)) |
(/ -1/2 z) |
(/.f64 #s(literal -1/2 binary64) z) |
(- (* -1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) t) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) z)) |
(- (* t (- (* -1/8 (/ (* t (pow y 2)) (pow z 5))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z))) |
(fma.f64 (fma.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 y y) t)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 #s(literal -1/2 binary64) z)) |
(- (* t (- (* t (- (* -1/16 (/ (* t (pow y 3)) (pow z 7))) (* 1/8 (/ (pow y 2) (pow z 5))))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y y)) (pow.f64 z #s(literal 5 binary64)))) t (*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) #s(literal -1/4 binary64))) t (/.f64 #s(literal -1/2 binary64) z)) |
(+ x (* -1 (/ y z))) |
(-.f64 x (/.f64 y z)) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) |
(- x (/ y z)) |
(-.f64 x (/.f64 y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
(fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
(fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
(fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(* -2 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal -2 binary64)) |
(+ (* -2 (pow z 2)) (* t y)) |
(fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)) |
(+ (* -2 (pow z 2)) (* t y)) |
(fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)) |
(+ (* -2 (pow z 2)) (* t y)) |
(fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)) |
(/ t (pow z 3)) |
(/.f64 t (pow.f64 z #s(literal 3 binary64))) |
(/ t (pow z 3)) |
(/.f64 t (pow.f64 z #s(literal 3 binary64))) |
(/ t (pow z 3)) |
(/.f64 t (pow.f64 z #s(literal 3 binary64))) |
(/ t (pow z 3)) |
(/.f64 t (pow.f64 z #s(literal 3 binary64))) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 t t)) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(-.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) y) y) x) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t)) |
(* -2 (/ z t)) |
(*.f64 #s(literal -2 binary64) (/.f64 z t)) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t) |
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t) |
(/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) t) t) (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z))) t) |
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t) |
(/.f64 (fma.f64 (/.f64 #s(literal -16 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) t) t) (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)))) t) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 t t)) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(-.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) y) y) x) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t)) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 t t)) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(-.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) y) y) x) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t)) |
(* -2 (/ z t)) |
(*.f64 #s(literal -2 binary64) (/.f64 z t)) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t) |
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(*.f64 #s(literal -1/2 binary64) y) |
(* -1/2 y) |
(*.f64 #s(literal -1/2 binary64) y) |
(* t y) |
(*.f64 t y) |
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y))))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 2 binary64) (neg.f64 t)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y))))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 2 binary64) (neg.f64 t)) (neg.f64 y)) |
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y))))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z y)) #s(literal 2 binary64) (neg.f64 t)) (neg.f64 y)) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(* 2 (/ z t)) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(*.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 z x) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) x) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 z x) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) x) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 z x) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) x) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 z x) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) x) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 z x) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) x) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 z x) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) x) |
x |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64) #s(literal 1 binary64)) x) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 z x) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) x) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 z x) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) x) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 z x) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) x) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 z x) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) x) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 z x) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) x) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 z x) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) x) |
x |
(* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (/.f64 y x) #s(literal 1 binary64)) x) |
(* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (/.f64 y x) #s(literal 1 binary64)) x) |
(* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (/.f64 y x) #s(literal 1 binary64)) x) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 z x) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) x) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 z x) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) x) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 z x) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) x) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 z t) x) #s(literal -2 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 z t) x) #s(literal -2 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 z t) x) #s(literal -2 binary64) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (/.f64 y x)))) |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (/.f64 y x)))) |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) (/.f64 y x)))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
| 5 218× | lower-/.f32 |
| 5 206× | lower-/.f64 |
| 4 832× | lower-*.f32 |
| 4 820× | lower-*.f64 |
| 3 576× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 263 |
| 0 | 64 | 263 |
| 1 | 256 | 263 |
| 2 | 1835 | 263 |
| 0 | 8588 | 260 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) |
(/.f64 y z) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(/.f64 #s(literal 2 binary64) t) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))) |
(*.f64 #s(literal -2 binary64) (/.f64 z t)) |
(/.f64 z t) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))) |
(*.f64 #s(literal 2 binary64) y) |
(/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1/2 binary64) y) |
(fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)) |
(/.f64 t (pow.f64 z #s(literal 3 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x)) (*.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (neg.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64)) (*.f64 x (neg.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64))) (-.f64 x (neg.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64))) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64)) (*.f64 x (neg.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64)))))) |
(fma.f64 #s(literal -1 binary64) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))) (/.f64 (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64)) (-.f64 x (neg.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x)) (/.f64 (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x))) (/.f64 (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) x) (*.f64 x x)))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
(+.f64 (neg.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) x) |
(+.f64 x (neg.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))) |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) y) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 y (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z y))) |
(/.f64 y z) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(neg.f64 (/.f64 y (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 y (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
(*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 z t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 z t) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 z t) #s(literal 2 binary64))))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 z t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 z t) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 z t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 z t) #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x)) (*.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x) (-.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 z t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 z t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 z t) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x)) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 z t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x)))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 z t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 z t) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 z t) #s(literal 2 binary64))))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 z t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x) (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 z t) #s(literal 2 binary64))))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 z t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 z #s(literal 1/2 binary64)) x) |
(fma.f64 (*.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) t) x) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x) |
(fma.f64 #s(literal 2 binary64) (/.f64 z t) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 z t) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x))) |
(+.f64 (*.f64 (/.f64 z t) #s(literal 2 binary64)) x) |
(+.f64 x (*.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) t)) |
(*.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 t) #s(literal -1 binary64))) |
(*.f64 #s(literal 2 binary64) (pow.f64 t #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 t #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 t #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (neg.f64 t)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 t)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 t))) |
(/.f64 #s(literal 2 binary64) t) |
(neg.f64 (/.f64 #s(literal -2 binary64) t)) |
(exp.f64 (*.f64 (log.f64 (*.f64 t #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
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(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 z #s(literal 3/2 binary64))) (/.f64 t (pow.f64 z #s(literal 3/2 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 y z)) (/.f64 t z) (/.f64 #s(literal -1 binary64) z)) |
(fma.f64 (/.f64 t (*.f64 z z)) (/.f64 (*.f64 #s(literal -1/2 binary64) y) z) (/.f64 #s(literal -1 binary64) z)) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) z) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) t)) (/.f64 #s(literal -1 binary64) z)) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) z) (/.f64 t (*.f64 z z)) (/.f64 #s(literal -1 binary64) z)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) t) (pow.f64 z #s(literal -3 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(fma.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) y) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) z)) |
(fma.f64 (pow.f64 z #s(literal -3 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 t #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 z z) t)) (/.f64 #s(literal -1 binary64) z)) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) y)) |
(fma.f64 (/.f64 t z) (*.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 y z)) (/.f64 #s(literal -1 binary64) z)) |
(fma.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 z t)) (/.f64 #s(literal -1 binary64) z)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z) (*.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) y)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) y)) |
(fma.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) z)) |
(fma.f64 (/.f64 y z) (/.f64 (*.f64 #s(literal -1/2 binary64) t) (*.f64 z z)) (/.f64 #s(literal -1 binary64) z)) |
(fma.f64 (/.f64 y z) (/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) t)) (/.f64 #s(literal -1 binary64) z)) |
(fma.f64 t (*.f64 (pow.f64 z #s(literal -3 binary64)) (*.f64 #s(literal -1/2 binary64) y)) (/.f64 #s(literal -1 binary64) z)) |
(fma.f64 y (*.f64 #s(literal -1/2 binary64) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) z)) |
(-.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) y))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) y)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) y) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) y (pow.f64 z #s(literal -1 binary64)))) (/.f64 (pow.f64 z #s(literal -2 binary64)) (fma.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) y (pow.f64 z #s(literal -1 binary64))))) |
(+.f64 (*.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) y) (/.f64 #s(literal -1 binary64) z)) |
(+.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) y)) |
(*.f64 #s(literal -1/2 binary64) y) |
(*.f64 y #s(literal -1/2 binary64)) |
(*.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 (neg.f64 y) t)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (-.f64 (*.f64 t y) (*.f64 (*.f64 #s(literal -2 binary64) z) z)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 (neg.f64 y) t)) (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (-.f64 (*.f64 t y) (*.f64 (*.f64 #s(literal -2 binary64) z) z)))) (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 t y) (*.f64 (*.f64 #s(literal -2 binary64) z) z)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (-.f64 (*.f64 t y) (*.f64 (*.f64 #s(literal -2 binary64) z) z))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 (neg.f64 y) t))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 (neg.f64 y) t))) (*.f64 (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 (neg.f64 y) t)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 (neg.f64 y) t)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 (neg.f64 y) t)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 t y) (*.f64 (*.f64 #s(literal -2 binary64) z) z))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) z) z) t) y))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (-.f64 (*.f64 t y) (*.f64 (*.f64 #s(literal -2 binary64) z) z)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 (neg.f64 y) t)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 (neg.f64 y) t))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) z) z) t) y)))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (-.f64 (*.f64 t y) (*.f64 (*.f64 #s(literal -2 binary64) z) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 (neg.f64 y) t)) (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (-.f64 (*.f64 t y) (*.f64 (*.f64 #s(literal -2 binary64) z) z)))) (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 (neg.f64 y) t)) (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (-.f64 (*.f64 t y) (*.f64 (*.f64 #s(literal -2 binary64) z) z)))) (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)) |
(fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)) |
(fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) |
(fma.f64 t y (*.f64 (*.f64 #s(literal -2 binary64) z) z)) |
(fma.f64 z (*.f64 #s(literal -2 binary64) z) (*.f64 t y)) |
(fma.f64 y t (*.f64 (*.f64 #s(literal -2 binary64) z) z)) |
(-.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (-.f64 (*.f64 t y) (*.f64 (*.f64 #s(literal -2 binary64) z) z))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 t y) (*.f64 (*.f64 #s(literal -2 binary64) z) z)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 (neg.f64 y) t))) (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 (neg.f64 y) t)))) |
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) z) z) (*.f64 t y)) |
(+.f64 (*.f64 t y) (*.f64 (*.f64 #s(literal -2 binary64) z) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3/2 binary64))) (/.f64 t (neg.f64 (pow.f64 z #s(literal 3/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 t (neg.f64 z))) |
(*.f64 (pow.f64 z #s(literal -3/2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3/2 binary64)) t) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -3/2 binary64)) (/.f64 t (pow.f64 z #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 t (pow.f64 z #s(literal 3/2 binary64))) (pow.f64 z #s(literal -3/2 binary64))) |
(*.f64 (/.f64 t (*.f64 z z)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -3 binary64)) t) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 z z) t) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 t (*.f64 z z))) |
(*.f64 (/.f64 t z) (/.f64 (pow.f64 z #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 t z) (pow.f64 z #s(literal -2 binary64))) |
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 t z)) |
(*.f64 #s(literal 1 binary64) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) |
(*.f64 (neg.f64 t) (pow.f64 (neg.f64 z) #s(literal -3 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 t (neg.f64 (*.f64 z z)))) |
(*.f64 t (pow.f64 z #s(literal -3 binary64))) |
(pow.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (/.f64 t (pow.f64 z #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 z #s(literal 3/2 binary64)))) |
(/.f64 (neg.f64 (/.f64 t (*.f64 z z))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 t))) (neg.f64 (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64))))) |
(/.f64 (*.f64 t #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (/.f64 t (pow.f64 z #s(literal 3/2 binary64))) (pow.f64 z #s(literal 3/2 binary64))) |
(/.f64 (/.f64 t (*.f64 z z)) z) |
(/.f64 (neg.f64 (/.f64 t z)) (neg.f64 (*.f64 z z))) |
(/.f64 (neg.f64 (neg.f64 t)) (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) |
(/.f64 (/.f64 t z) (*.f64 z z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 3 binary64)) t)) |
(/.f64 (neg.f64 t) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t))) |
(/.f64 t (pow.f64 z #s(literal 3 binary64))) |
(neg.f64 (/.f64 (neg.f64 t) (pow.f64 z #s(literal 3 binary64)))) |
(neg.f64 (/.f64 t (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (/.f64 t (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t)) #s(literal -1 binary64))) |
Compiled 24 500 to 3 025 computations (87.7% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 167 | 5 | 1 172 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 170 | 7 | 1 177 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 66.6% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
| ▶ | 60.2% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
| ▶ | 59.7% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x)) |
| ▶ | 66.6% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) |
| ✓ | 17.9% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) |
| ▶ | 13.2% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
| ▶ | 15.7% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
Compiled 113 to 118 computations (-4.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x)) | |
| cost-diff | 128 | (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (fma.f64 (/.f64 z t) #s(literal 2 binary64) x) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (*.f64 (/.f64 z t) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (/.f64 (neg.f64 y) z) | |
| cost-diff | 0 | #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 0 | #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) |
| 21 172× | lower-fma.f32 |
| 21 164× | lower-fma.f64 |
| 2 950× | lower-*.f32 |
| 2 946× | lower-*.f64 |
| 1 748× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 387 |
| 0 | 75 | 385 |
| 1 | 139 | 385 |
| 2 | 249 | 385 |
| 3 | 501 | 385 |
| 4 | 899 | 385 |
| 5 | 1776 | 385 |
| 6 | 4510 | 385 |
| 7 | 5591 | 385 |
| 8 | 6469 | 385 |
| 9 | 6985 | 385 |
| 10 | 7052 | 385 |
| 11 | 7079 | 385 |
| 0 | 8237 | 363 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) |
(fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x) |
#s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
y |
x |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) |
(/.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 z t) |
z |
t |
#s(literal 2 binary64) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(/.f64 z t) |
z |
t |
#s(literal 2 binary64) |
x |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x)) |
(fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x) |
#s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
(/.f64 (/.f64 y z) z) |
(/.f64 y z) |
y |
z |
#s(literal 1 binary64) |
(neg.f64 z) |
x |
| Outputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) |
(fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x) |
#s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
y |
x |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) |
(/.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 z t) |
z |
t |
#s(literal 2 binary64) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(/.f64 z t) |
z |
t |
#s(literal 2 binary64) |
x |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x)) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z)) y x)) |
(fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x) |
(fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z)) y x) |
#s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) |
#s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z)) |
(/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 y z) z) (*.f64 #s(literal 1/2 binary64) t) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) t) |
#s(literal 1/2 binary64) |
t |
(/.f64 (/.f64 y z) z) |
(/.f64 y z) |
y |
z |
#s(literal 1 binary64) |
(neg.f64 z) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.140625 | (/.f64 (/.f64 y z) z) | |
| accuracy | 2.411882981146057 | (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x) | |
| accuracy | 3.8026242000332156 | (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) | |
| accuracy | 25.235276818208302 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0.00390625 | (fma.f64 (/.f64 z t) #s(literal 2 binary64) x) | |
| accuracy | 25.45347233382289 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0 | (*.f64 (/.f64 z t) #s(literal 2 binary64)) | |
| accuracy | 25.45347233382289 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) | |
| accuracy | 30.7163256829009 | #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) | |
| accuracy | 0 | (/.f64 (neg.f64 y) z) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 28.543168378004676 | #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) | |
| accuracy | 47.37486165986559 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 2.411882981146057 | (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x) | |
| accuracy | 25.235276818208302 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) | |
| accuracy | 28.2924624041568 | #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) |
| 107.0ms | 256× | 0 | valid |
Compiled 253 to 51 computations (79.8% saved)
ival-sub: 31.0ms (35.3% of total)ival-mult: 27.0ms (30.8% of total)ival-div: 16.0ms (18.2% of total)ival-add: 7.0ms (8% of total)ival-pow: 4.0ms (4.6% of total)ival-neg: 2.0ms (2.3% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x) (patch (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) (patch #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) (patch #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 y) z) (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) (patch #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 z t) #s(literal 2 binary64)) (patch (*.f64 (/.f64 z t) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 z t) #s(literal 2 binary64) x) (patch (fma.f64 (/.f64 z t) #s(literal 2 binary64) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z)) (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x) (patch (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) (patch #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 y z) z) (patch (/.f64 (/.f64 y z) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- x (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ y z))) (taylor 0 t) (#s(alt (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x) (patch (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) (taylor 0 t) (#s(alt (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x) (patch (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) (taylor 0 t) (#s(alt (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x) (patch (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | t | @ | 0 | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ (+ (* (* 1/2 t) (/ (/ y z) z)) 1) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (+ (* (* 1/2 t) (/ (/ y z) z)) 1) (/ (/ y z) z)) |
| 3.0ms | y | @ | -inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ (+ (* (* 1/2 t) (/ (/ y z) z)) 1) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (+ (* (* 1/2 t) (/ (/ y z) z)) 1) (/ (/ y z) z)) |
| 3.0ms | y | @ | inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ (+ (* (* 1/2 t) (/ (/ y z) z)) 1) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (+ (* (* 1/2 t) (/ (/ y z) z)) 1) (/ (/ y z) z)) |
| 3.0ms | z | @ | 0 | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ (+ (* (* 1/2 t) (/ (/ y z) z)) 1) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (+ (* (* 1/2 t) (/ (/ y z) z)) 1) (/ (/ y z) z)) |
| 3.0ms | z | @ | inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ (+ (* (* 1/2 t) (/ (/ y z) z)) 1) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (+ (* (* 1/2 t) (/ (/ y z) z)) 1) (/ (/ y z) z)) |
| 1× | egg-herbie |
| 13 086× | lower-fma.f64 |
| 13 086× | lower-fma.f32 |
| 4 926× | lower-*.f64 |
| 4 926× | lower-*.f32 |
| 2 832× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 428 | 9087 |
| 1 | 1255 | 8964 |
| 2 | 3799 | 8802 |
| 0 | 8165 | 8227 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(+ x (* -1 (/ y z))) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(/ -1 z) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(* -1 (/ y z)) |
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) |
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))) |
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7)))))))) |
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(* 2 (/ z t)) |
(/ (+ (* 2 z) (* t x)) t) |
(/ (+ (* 2 z) (* t x)) t) |
(/ (+ (* 2 z) (* t x)) t) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(* 2 (/ z t)) |
(/ (+ (* 2 z) (* t x)) t) |
(/ (+ (* 2 z) (* t x)) t) |
(/ (+ (* 2 z) (* t x)) t) |
(/ -1 z) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(+ x (* -1 (/ y z))) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(/ -1 z) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
1 |
(+ 1 (* 1/2 (/ (* t y) (pow z 2)))) |
(+ 1 (* 1/2 (/ (* t y) (pow z 2)))) |
(+ 1 (* 1/2 (/ (* t y) (pow z 2)))) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* t (+ (* -1 (/ y (* t z))) (+ (* -1/2 (/ (pow y 2) (pow z 3))) (/ x t)))) |
(* t (+ (* -1 (/ y (* t z))) (+ (* -1/2 (/ (pow y 2) (pow z 3))) (/ x t)))) |
(* t (+ (* -1 (/ y (* t z))) (+ (* -1/2 (/ (pow y 2) (pow z 3))) (/ x t)))) |
(* -1/2 (/ (* t y) (pow z 3))) |
(* t (- (* -1/2 (/ y (pow z 3))) (/ 1 (* t z)))) |
(* t (- (* -1/2 (/ y (pow z 3))) (/ 1 (* t z)))) |
(* t (- (* -1/2 (/ y (pow z 3))) (/ 1 (* t z)))) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(* 2 (/ z t)) |
(/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t) |
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))))) t) |
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 3))))))) t) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(* -1/2 (/ (* t y) (pow z 3))) |
(* t (- (* -1/2 (/ y (pow z 3))) (/ 1 (* t z)))) |
(* t (- (* -1/2 (/ y (pow z 3))) (/ 1 (* t z)))) |
(* t (- (* -1/2 (/ y (pow z 3))) (/ 1 (* t z)))) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* t (+ (* -1 (/ y (* t z))) (+ (* -1/2 (/ (pow y 2) (pow z 3))) (/ x t)))) |
(* t (+ (* -1 (/ y (* t z))) (+ (* -1/2 (/ (pow y 2) (pow z 3))) (/ x t)))) |
(* t (+ (* -1 (/ y (* t z))) (+ (* -1/2 (/ (pow y 2) (pow z 3))) (/ x t)))) |
(* -1/2 (/ (* t y) (pow z 3))) |
(* t (- (* -1/2 (/ y (pow z 3))) (/ 1 (* t z)))) |
(* t (- (* -1/2 (/ y (pow z 3))) (/ 1 (* t z)))) |
(* t (- (* -1/2 (/ y (pow z 3))) (/ 1 (* t z)))) |
(* 1/2 (/ (* t y) (pow z 2))) |
(* t (+ (* 1/2 (/ y (pow z 2))) (/ 1 t))) |
(* t (+ (* 1/2 (/ y (pow z 2))) (/ 1 t))) |
(* t (+ (* 1/2 (/ y (pow z 2))) (/ 1 t))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* -1 (* t (+ (* -1 (/ (+ x (* -1 (/ y z))) t)) (* 1/2 (/ (pow y 2) (pow z 3)))))) |
(* -1 (* t (+ (* -1 (/ (+ x (* -1 (/ y z))) t)) (* 1/2 (/ (pow y 2) (pow z 3)))))) |
(* -1 (* t (+ (* -1 (/ (+ x (* -1 (/ y z))) t)) (* 1/2 (/ (pow y 2) (pow z 3)))))) |
(* -1/2 (/ (* t y) (pow z 3))) |
(* -1 (* t (+ (* 1/2 (/ y (pow z 3))) (/ 1 (* t z))))) |
(* -1 (* t (+ (* 1/2 (/ y (pow z 3))) (/ 1 (* t z))))) |
(* -1 (* t (+ (* 1/2 (/ y (pow z 3))) (/ 1 (* t z))))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
(* 2 (/ z t)) |
(* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)) |
(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t)) |
(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* t (pow y 3)))) (* -8 (/ (pow z 5) (pow y 2)))) t)) (* 4 (/ (pow z 3) y))) t))) t)) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(* -1/2 (/ (* t y) (pow z 3))) |
(* -1 (* t (+ (* 1/2 (/ y (pow z 3))) (/ 1 (* t z))))) |
(* -1 (* t (+ (* 1/2 (/ y (pow z 3))) (/ 1 (* t z))))) |
(* -1 (* t (+ (* 1/2 (/ y (pow z 3))) (/ 1 (* t z))))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* -1 (* t (+ (* -1 (/ (+ x (* -1 (/ y z))) t)) (* 1/2 (/ (pow y 2) (pow z 3)))))) |
(* -1 (* t (+ (* -1 (/ (+ x (* -1 (/ y z))) t)) (* 1/2 (/ (pow y 2) (pow z 3)))))) |
(* -1 (* t (+ (* -1 (/ (+ x (* -1 (/ y z))) t)) (* 1/2 (/ (pow y 2) (pow z 3)))))) |
(* -1/2 (/ (* t y) (pow z 3))) |
(* -1 (* t (+ (* 1/2 (/ y (pow z 3))) (/ 1 (* t z))))) |
(* -1 (* t (+ (* 1/2 (/ y (pow z 3))) (/ 1 (* t z))))) |
(* -1 (* t (+ (* 1/2 (/ y (pow z 3))) (/ 1 (* t z))))) |
(* 1/2 (/ (* t y) (pow z 2))) |
(* -1 (* t (- (* -1/2 (/ y (pow z 2))) (/ 1 t)))) |
(* -1 (* t (- (* -1/2 (/ y (pow z 2))) (/ 1 t)))) |
(* -1 (* t (- (* -1/2 (/ y (pow z 2))) (/ 1 t)))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(/ (+ (* -1 (* y (pow z 2))) (* -1/2 (* t (pow y 2)))) (pow z 3)) |
(/ (+ (* -1/2 (* t (pow y 2))) (* (pow z 2) (+ (* -1 y) (* x z)))) (pow z 3)) |
(/ (+ (* -1/2 (* t (pow y 2))) (* (pow z 2) (+ (* -1 y) (* x z)))) (pow z 3)) |
(* -1/2 (/ (* t y) (pow z 3))) |
(/ (+ (* -1 (pow z 2)) (* -1/2 (* t y))) (pow z 3)) |
(/ (+ (* -1 (pow z 2)) (* -1/2 (* t y))) (pow z 3)) |
(/ (+ (* -1 (pow z 2)) (* -1/2 (* t y))) (pow z 3)) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
(* 2 (/ z t)) |
(* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))) |
(* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(* z (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(* -1/2 (/ (* t y) (pow z 3))) |
(/ (+ (* -1 (pow z 2)) (* -1/2 (* t y))) (pow z 3)) |
(/ (+ (* -1 (pow z 2)) (* -1/2 (* t y))) (pow z 3)) |
(/ (+ (* -1 (pow z 2)) (* -1/2 (* t y))) (pow z 3)) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(/ (+ (* -1 (* y (pow z 2))) (* -1/2 (* t (pow y 2)))) (pow z 3)) |
(/ (+ (* -1/2 (* t (pow y 2))) (* (pow z 2) (+ (* -1 y) (* x z)))) (pow z 3)) |
(/ (+ (* -1/2 (* t (pow y 2))) (* (pow z 2) (+ (* -1 y) (* x z)))) (pow z 3)) |
(* -1/2 (/ (* t y) (pow z 3))) |
(/ (+ (* -1 (pow z 2)) (* -1/2 (* t y))) (pow z 3)) |
(/ (+ (* -1 (pow z 2)) (* -1/2 (* t y))) (pow z 3)) |
(/ (+ (* -1 (pow z 2)) (* -1/2 (* t y))) (pow z 3)) |
(* 1/2 (/ (* t y) (pow z 2))) |
(/ (+ (* 1/2 (* t y)) (pow z 2)) (pow z 2)) |
(/ (+ (* 1/2 (* t y)) (pow z 2)) (pow z 2)) |
(/ (+ (* 1/2 (* t y)) (pow z 2)) (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
x |
(+ x (* -1 (/ y z))) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
x |
(+ x (* -1 (/ y z))) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(/ -1 z) |
(/ (- (* -1/2 (/ (* t y) (pow z 2))) 1) z) |
(/ (- (* -1/2 (/ (* t y) (pow z 2))) 1) z) |
(/ (- (* -1/2 (/ (* t y) (pow z 2))) 1) z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
x |
(+ x (* -1 (/ y z))) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
(* -1 (/ y z)) |
(/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z) |
(/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z) |
(/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
x |
(+ x (* -1 (/ y z))) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
(* 2 (/ z t)) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
x |
(+ x (* -1 (/ y z))) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
(* 2 (/ z t)) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(/ -1 z) |
(/ (- (* -1/2 (/ (* t y) (pow z 2))) 1) z) |
(/ (- (* -1/2 (/ (* t y) (pow z 2))) 1) z) |
(/ (- (* -1/2 (/ (* t y) (pow z 2))) 1) z) |
x |
(+ x (* -1 (/ y z))) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
x |
(+ x (* -1 (/ y z))) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(/ -1 z) |
(/ (- (* -1/2 (/ (* t y) (pow z 2))) 1) z) |
(/ (- (* -1/2 (/ (* t y) (pow z 2))) 1) z) |
(/ (- (* -1/2 (/ (* t y) (pow z 2))) 1) z) |
1 |
(+ 1 (* 1/2 (/ (* t y) (pow z 2)))) |
(+ 1 (* 1/2 (/ (* t y) (pow z 2)))) |
(+ 1 (* 1/2 (/ (* t y) (pow z 2)))) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z))) |
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))) |
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))) |
(/ -1 z) |
(* -1 (/ (+ 1 (* 1/2 (/ (* t y) (pow z 2)))) z)) |
(* -1 (/ (+ 1 (* 1/2 (/ (* t y) (pow z 2)))) z)) |
(* -1 (/ (+ 1 (* 1/2 (/ (* t y) (pow z 2)))) z)) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z))) |
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(* -1 (/ y z)) |
(* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)) |
(* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)) |
(* -1 (/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z))) |
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(* 2 (/ z t)) |
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t))))) |
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t))))) |
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t))))) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z))) |
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(* 2 (/ z t)) |
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t))))) |
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t))))) |
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t))))) |
(/ -1 z) |
(* -1 (/ (+ 1 (* 1/2 (/ (* t y) (pow z 2)))) z)) |
(* -1 (/ (+ 1 (* 1/2 (/ (* t y) (pow z 2)))) z)) |
(* -1 (/ (+ 1 (* 1/2 (/ (* t y) (pow z 2)))) z)) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z))) |
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))) |
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))) |
(/ -1 z) |
(* -1 (/ (+ 1 (* 1/2 (/ (* t y) (pow z 2)))) z)) |
(* -1 (/ (+ 1 (* 1/2 (/ (* t y) (pow z 2)))) z)) |
(* -1 (/ (+ 1 (* 1/2 (/ (* t y) (pow z 2)))) z)) |
1 |
(+ 1 (* 1/2 (/ (* t y) (pow z 2)))) |
(+ 1 (* 1/2 (/ (* t y) (pow z 2)))) |
(+ 1 (* 1/2 (/ (* t y) (pow z 2)))) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(/ -1 z) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(* -1 (/ y z)) |
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z))) |
(* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* y (+ (* -1/4 (/ (pow t 2) (pow z 5))) (* -1/8 (/ (* (pow t 3) y) (pow z 7))))))) (/ 1 z))) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(/ -1 z) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(/ -1 z) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
1 |
(+ 1 (* 1/2 (/ (* t y) (pow z 2)))) |
(+ 1 (* 1/2 (/ (* t y) (pow z 2)))) |
(+ 1 (* 1/2 (/ (* t y) (pow z 2)))) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* (pow y 2) (- (+ (* -1/2 (/ t (pow z 3))) (/ x (pow y 2))) (/ 1 (* y z)))) |
(* (pow y 2) (- (+ (* -1/2 (/ t (pow z 3))) (/ x (pow y 2))) (/ 1 (* y z)))) |
(* -1/2 (/ (* t y) (pow z 3))) |
(* y (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* y (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* y (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* 2 (/ z t)) |
(+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))) |
(+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))) |
(+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))))) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -1/2 (/ (* t y) (pow z 3))) |
(* y (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* y (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* y (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* (pow y 2) (- (+ (* -1/2 (/ t (pow z 3))) (/ x (pow y 2))) (/ 1 (* y z)))) |
(* (pow y 2) (- (+ (* -1/2 (/ t (pow z 3))) (/ x (pow y 2))) (/ 1 (* y z)))) |
(* -1/2 (/ (* t y) (pow z 3))) |
(* y (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* y (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* y (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* 1/2 (/ (* t y) (pow z 2))) |
(* y (+ (* 1/2 (/ t (pow z 2))) (/ 1 y))) |
(* y (+ (* 1/2 (/ t (pow z 2))) (/ 1 y))) |
(* y (+ (* 1/2 (/ t (pow z 2))) (/ 1 y))) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (/ 1 z)) y)) (* -1/2 (/ t (pow z 3))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (/ 1 z)) y)) (* -1/2 (/ t (pow z 3))))) |
(* -1/2 (/ (* t y) (pow z 3))) |
(* -1 (* y (+ (* 1/2 (/ t (pow z 3))) (/ 1 (* y z))))) |
(* -1 (* y (+ (* 1/2 (/ t (pow z 3))) (/ 1 (* y z))))) |
(* -1 (* y (+ (* 1/2 (/ t (pow z 3))) (/ 1 (* y z))))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(* 2 (/ z t)) |
(+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))) |
(+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t))) |
(+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t))) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 (/ y z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(* -1/2 (/ (* t y) (pow z 3))) |
(* -1 (* y (+ (* 1/2 (/ t (pow z 3))) (/ 1 (* y z))))) |
(* -1 (* y (+ (* 1/2 (/ t (pow z 3))) (/ 1 (* y z))))) |
(* -1 (* y (+ (* 1/2 (/ t (pow z 3))) (/ 1 (* y z))))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (/ 1 z)) y)) (* -1/2 (/ t (pow z 3))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (/ 1 z)) y)) (* -1/2 (/ t (pow z 3))))) |
(* -1/2 (/ (* t y) (pow z 3))) |
(* -1 (* y (+ (* 1/2 (/ t (pow z 3))) (/ 1 (* y z))))) |
(* -1 (* y (+ (* 1/2 (/ t (pow z 3))) (/ 1 (* y z))))) |
(* -1 (* y (+ (* 1/2 (/ t (pow z 3))) (/ 1 (* y z))))) |
(* 1/2 (/ (* t y) (pow z 2))) |
(* -1 (* y (- (* -1/2 (/ t (pow z 2))) (/ 1 y)))) |
(* -1 (* y (- (* -1/2 (/ t (pow z 2))) (/ 1 y)))) |
(* -1 (* y (- (* -1/2 (/ t (pow z 2))) (/ 1 y)))) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(/ y (pow z 2)) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* 2 (/ z t)) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* 2 (/ z t)) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x))) |
(* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x))) |
(* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x))) |
(* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x))) |
(* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
x |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
x |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) |
| Outputs |
|---|
(- x (/ y z)) |
(-.f64 x (/.f64 y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) y x) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
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(+ x (* -1 (/ y z))) |
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(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (*.f64 z (/.f64 y x)) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) (/.f64 y x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) (/.f64 y x) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) (/.f64 y x) #s(literal 1 binary64)) x) |
| 5 306× | lower-*.f32 |
| 5 302× | lower-*.f64 |
| 5 182× | lower-/.f32 |
| 5 170× | lower-/.f64 |
| 3 804× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 357 |
| 0 | 75 | 355 |
| 1 | 310 | 355 |
| 2 | 2161 | 355 |
| 0 | 8943 | 342 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) |
(fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x) |
#s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) |
(/.f64 (neg.f64 y) z) |
(neg.f64 y) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 z t) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z)) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x)) |
(fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x) |
#s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) |
(/.f64 (/.f64 y z) z) |
| Outputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x))) (*.f64 (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x)) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64))) (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) (*.f64 y x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) (*.f64 y x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y)) (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x) |
(fma.f64 y #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y))) (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y (neg.f64 x)))) |
(+.f64 (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y) x) |
(+.f64 x (*.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y)) |
#s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (neg.f64 z) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) z) |
(neg.f64 (pow.f64 z #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) #s(literal -1 binary64))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)) |
(*.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 y z)) |
(*.f64 y (/.f64 #s(literal -1 binary64) z)) |
(pow.f64 (/.f64 (/.f64 (neg.f64 z) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 z) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 y #s(literal -1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (/.f64 y #s(literal 1 binary64)))) (*.f64 z z)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 z (*.f64 y #s(literal 1 binary64)))) (*.f64 z z)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 z y) #s(literal 1 binary64))) (*.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 (/.f64 z y) #s(literal 1 binary64)))) |
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(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 y z) z) t) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (neg.f64 y) z) (/.f64 (*.f64 #s(literal 1/2 binary64) t) (neg.f64 z)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 t (/.f64 y z)) (neg.f64 z)) #s(literal 1 binary64)) |
(fma.f64 t (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 y z) z)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z y)) (/.f64 t z)))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 y z) z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z y)) (/.f64 t z))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 y z) z) t) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (/.f64 y z) z) (*.f64 #s(literal 1/2 binary64) t) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 (/.f64 y z) z) (*.f64 #s(literal 1/2 binary64) t) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z y)) (/.f64 t z)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 z y)) (/.f64 t z))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 y z)) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -2 binary64)))) |
(*.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (pow.f64 z #s(literal -2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 y z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y z)) |
(*.f64 (pow.f64 z #s(literal -2 binary64)) (/.f64 y #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) z)) |
(*.f64 (/.f64 y z) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 y z) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (neg.f64 y) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 y z) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 y) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 y) z) z)) |
(*.f64 y (pow.f64 z #s(literal -2 binary64))) |
(pow.f64 (/.f64 (*.f64 (/.f64 z y) z) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 z y) z) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 z z))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 z) z))) |
(/.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) z) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 (neg.f64 z) z)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z z)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 z y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 z y) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z y) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) z)) |
(/.f64 (/.f64 y z) z) |
(/.f64 (/.f64 (neg.f64 y) z) (neg.f64 z)) |
(/.f64 (neg.f64 y) (neg.f64 (*.f64 z z))) |
(/.f64 (neg.f64 y) (*.f64 (neg.f64 z) z)) |
(/.f64 (neg.f64 y) (*.f64 z (neg.f64 z))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (neg.f64 z) y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 z y) z) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 z y) z))) |
(/.f64 y (neg.f64 (neg.f64 (*.f64 z z)))) |
(/.f64 y (neg.f64 (*.f64 (neg.f64 z) z))) |
(/.f64 y (neg.f64 (*.f64 z (neg.f64 z)))) |
(/.f64 y (*.f64 z z)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 y) z) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 z z))) (/.f64 y (neg.f64 (*.f64 z z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) z)) (/.f64 y (*.f64 (neg.f64 z) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (neg.f64 z))) (/.f64 y (*.f64 z (neg.f64 z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (neg.f64 y) (*.f64 z z))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) z) (neg.f64 z)) (/.f64 (/.f64 (neg.f64 y) z) z)) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) z) z) (/.f64 (/.f64 (neg.f64 y) z) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (/.f64 (neg.f64 y) z) z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z y) z)) #s(literal -1 binary64))) |
Compiled 19 004 to 2 175 computations (88.6% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 065 | 2 | 1 067 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 066 | 8 | 1 074 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 66.6% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
| ✓ | 60.2% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
| ✓ | 66.6% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) |
| ✓ | 17.9% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) |
| ✓ | 13.2% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
| ▶ | 13.1% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
| ▶ | 15.6% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))) |
| ✓ | 15.7% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
Compiled 72 to 77 computations (-6.9% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) t) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 2 binary64) t) z) | |
| cost-diff | 0 | #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) | |
| cost-diff | 0 | (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))) |
| 5 852× | lower-fma.f32 |
| 5 850× | lower-fma.f64 |
| 3 164× | lower-*.f32 |
| 3 158× | lower-*.f64 |
| 1 804× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 193 |
| 0 | 48 | 193 |
| 1 | 97 | 193 |
| 2 | 204 | 193 |
| 3 | 522 | 191 |
| 4 | 1145 | 191 |
| 5 | 2311 | 191 |
| 6 | 4929 | 191 |
| 7 | 6552 | 191 |
| 0 | 8165 | 183 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))) |
#s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)) |
(/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z) |
(*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) |
y |
(fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) |
(*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) |
(/.f64 (/.f64 y z) z) |
(/.f64 y z) |
z |
#s(literal -1/2 binary64) |
t |
#s(literal -1 binary64) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/.f64 #s(literal 2 binary64) t) |
#s(literal 2 binary64) |
t |
z |
| Outputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) y))) |
#s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)) |
#s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) y)) |
(/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z) |
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) y) |
(*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y) |
y |
(fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) |
(*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) |
(/.f64 (/.f64 y z) z) |
(/.f64 y z) |
z |
#s(literal -1/2 binary64) |
t |
#s(literal -1 binary64) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/.f64 #s(literal 2 binary64) t) |
#s(literal 2 binary64) |
t |
z |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 2 binary64) t) | |
| accuracy | 0.23046875 | (*.f64 (/.f64 #s(literal 2 binary64) t) z) | |
| accuracy | 25.45347233382289 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) | |
| accuracy | 30.7163256829009 | #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) | |
| accuracy | 1.6910520669407765 | (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) | |
| accuracy | 3.8026242000332156 | (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) | |
| accuracy | 25.235276818208302 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))) | |
| accuracy | 28.907902367914218 | #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)) |
| 140.0ms | 256× | 0 | valid |
Compiled 130 to 36 computations (72.3% saved)
ival-mult: 97.0ms (81.8% of total)ival-div: 11.0ms (9.3% of total)ival-add: 4.0ms (3.4% of total)ival-pow: 4.0ms (3.4% of total)ival-sub: 2.0ms (1.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)) (patch #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z) (patch (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z) #<representation binary64>) () ()) |
#s(alt (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) (patch (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 2 binary64) t) z) (patch (*.f64 (/.f64 #s(literal 2 binary64) t) z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) t) (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) (patch #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 72.0ms | x | @ | 0 | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/ (* y (+ (* (* (/ (/ y z) z) -1/2) t) -1)) z) (* y (+ (* (* (/ (/ y z) z) -1/2) t) -1)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (+ (* (* (/ (/ y z) z) -1/2) t) -1)) |
| 2.0ms | t | @ | 0 | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/ (* y (+ (* (* (/ (/ y z) z) -1/2) t) -1)) z) (* y (+ (* (* (/ (/ y z) z) -1/2) t) -1)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (+ (* (* (/ (/ y z) z) -1/2) t) -1)) |
| 2.0ms | t | @ | -inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/ (* y (+ (* (* (/ (/ y z) z) -1/2) t) -1)) z) (* y (+ (* (* (/ (/ y z) z) -1/2) t) -1)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (+ (* (* (/ (/ y z) z) -1/2) t) -1)) |
| 2.0ms | t | @ | inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/ (* y (+ (* (* (/ (/ y z) z) -1/2) t) -1)) z) (* y (+ (* (* (/ (/ y z) z) -1/2) t) -1)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (+ (* (* (/ (/ y z) z) -1/2) t) -1)) |
| 2.0ms | y | @ | -inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/ (* y (+ (* (* (/ (/ y z) z) -1/2) t) -1)) z) (* y (+ (* (* (/ (/ y z) z) -1/2) t) -1)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ 2 t) z) (/ 2 t) (+ (* (* (/ (/ y z) z) -1/2) t) -1)) |
| 1× | egg-herbie |
| 11 526× | lower-fma.f64 |
| 11 526× | lower-fma.f32 |
| 5 634× | lower-*.f64 |
| 5 634× | lower-*.f32 |
| 4 032× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 309 | 4169 |
| 1 | 921 | 4078 |
| 2 | 2803 | 4022 |
| 0 | 8342 | 3772 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(+ x (* -1 (/ y z))) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(* -1 (/ y z)) |
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) |
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) |
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) |
(* -1 y) |
(+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) |
(+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) |
(+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) |
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(* 2 (/ z t)) |
(/ (+ (* 2 z) (* t x)) t) |
(/ (+ (* 2 z) (* t x)) t) |
(/ (+ (* 2 z) (* t x)) t) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(/ 2 t) |
(/ 2 t) |
(/ 2 t) |
(/ 2 t) |
-1 |
(- (* -1/2 (/ (* t y) (pow z 2))) 1) |
(- (* -1/2 (/ (* t y) (pow z 2))) 1) |
(- (* -1/2 (/ (* t y) (pow z 2))) 1) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* t (+ (* -1 (/ y (* t z))) (+ (* -1/2 (/ (pow y 2) (pow z 3))) (/ x t)))) |
(* t (+ (* -1 (/ y (* t z))) (+ (* -1/2 (/ (pow y 2) (pow z 3))) (/ x t)))) |
(* t (+ (* -1 (/ y (* t z))) (+ (* -1/2 (/ (pow y 2) (pow z 3))) (/ x t)))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* t (+ (* -1 (/ y (* t z))) (* -1/2 (/ (pow y 2) (pow z 3))))) |
(* t (+ (* -1 (/ y (* t z))) (* -1/2 (/ (pow y 2) (pow z 3))))) |
(* t (+ (* -1 (/ y (* t z))) (* -1/2 (/ (pow y 2) (pow z 3))))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 2))) |
(* t (+ (* -1 (/ y t)) (* -1/2 (/ (pow y 2) (pow z 2))))) |
(* t (+ (* -1 (/ y t)) (* -1/2 (/ (pow y 2) (pow z 2))))) |
(* t (+ (* -1 (/ y t)) (* -1/2 (/ (pow y 2) (pow z 2))))) |
x |
(+ x (* 2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(/ 2 t) |
(/ 2 t) |
(/ 2 t) |
(/ 2 t) |
(* -1/2 (/ (* t y) (pow z 2))) |
(* t (- (* -1/2 (/ y (pow z 2))) (/ 1 t))) |
(* t (- (* -1/2 (/ y (pow z 2))) (/ 1 t))) |
(* t (- (* -1/2 (/ y (pow z 2))) (/ 1 t))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* -1 (* t (+ (* -1 (/ (+ x (* -1 (/ y z))) t)) (* 1/2 (/ (pow y 2) (pow z 3)))))) |
(* -1 (* t (+ (* -1 (/ (+ x (* -1 (/ y z))) t)) (* 1/2 (/ (pow y 2) (pow z 3)))))) |
(* -1 (* t (+ (* -1 (/ (+ x (* -1 (/ y z))) t)) (* 1/2 (/ (pow y 2) (pow z 3)))))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (/ y (* t z))))) |
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (/ y (* t z))))) |
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (/ y (* t z))))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 2))) |
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 2))) (/ y t)))) |
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 2))) (/ y t)))) |
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 2))) (/ y t)))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(/ 2 t) |
(/ 2 t) |
(/ 2 t) |
(/ 2 t) |
(* -1/2 (/ (* t y) (pow z 2))) |
(* -1 (* t (+ (* 1/2 (/ y (pow z 2))) (/ 1 t)))) |
(* -1 (* t (+ (* 1/2 (/ y (pow z 2))) (/ 1 t)))) |
(* -1 (* t (+ (* 1/2 (/ y (pow z 2))) (/ 1 t)))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(/ (+ (* -1 (* y (pow z 2))) (* -1/2 (* t (pow y 2)))) (pow z 3)) |
(/ (+ (* -1/2 (* t (pow y 2))) (* (pow z 2) (+ (* -1 y) (* x z)))) (pow z 3)) |
(/ (+ (* -1/2 (* t (pow y 2))) (* (pow z 2) (+ (* -1 y) (* x z)))) (pow z 3)) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(/ (+ (* -1 (* y (pow z 2))) (* -1/2 (* t (pow y 2)))) (pow z 3)) |
(/ (+ (* -1 (* y (pow z 2))) (* -1/2 (* t (pow y 2)))) (pow z 3)) |
(/ (+ (* -1 (* y (pow z 2))) (* -1/2 (* t (pow y 2)))) (pow z 3)) |
(* -1/2 (/ (* t (pow y 2)) (pow z 2))) |
(/ (+ (* -1 (* y (pow z 2))) (* -1/2 (* t (pow y 2)))) (pow z 2)) |
(/ (+ (* -1 (* y (pow z 2))) (* -1/2 (* t (pow y 2)))) (pow z 2)) |
(/ (+ (* -1 (* y (pow z 2))) (* -1/2 (* t (pow y 2)))) (pow z 2)) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* -1/2 (/ (* t y) (pow z 2))) |
(/ (+ (* -1 (pow z 2)) (* -1/2 (* t y))) (pow z 2)) |
(/ (+ (* -1 (pow z 2)) (* -1/2 (* t y))) (pow z 2)) |
(/ (+ (* -1 (pow z 2)) (* -1/2 (* t y))) (pow z 2)) |
x |
(+ x (* -1 (/ y z))) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
x |
(+ x (* -1 (/ y z))) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(* -1 (/ y z)) |
(/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z) |
(/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z) |
(/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z) |
(* -1 y) |
(+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) |
(+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) |
(+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) |
x |
(+ x (* -1 (/ y z))) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
(* 2 (/ z t)) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
-1 |
(- (* -1/2 (/ (* t y) (pow z 2))) 1) |
(- (* -1/2 (/ (* t y) (pow z 2))) 1) |
(- (* -1/2 (/ (* t y) (pow z 2))) 1) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z))) |
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))) |
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))) |
(* -1 (/ y z)) |
(* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)) |
(* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)) |
(* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)) |
(* -1 y) |
(+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) |
(+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) |
(+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z))) |
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(* 2 (/ z t)) |
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t))))) |
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t))))) |
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t))))) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
(* 2 (/ z t)) |
-1 |
(- (* -1/2 (/ (* t y) (pow z 2))) 1) |
(- (* -1/2 (/ (* t y) (pow z 2))) 1) |
(- (* -1/2 (/ (* t y) (pow z 2))) 1) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(* -1 (/ y z)) |
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(* -1 y) |
(* y (- (* -1/2 (/ (* t y) (pow z 2))) 1)) |
(* y (- (* -1/2 (/ (* t y) (pow z 2))) 1)) |
(* y (- (* -1/2 (/ (* t y) (pow z 2))) 1)) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
-1 |
(- (* -1/2 (/ (* t y) (pow z 2))) 1) |
(- (* -1/2 (/ (* t y) (pow z 2))) 1) |
(- (* -1/2 (/ (* t y) (pow z 2))) 1) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* (pow y 2) (- (+ (* -1/2 (/ t (pow z 3))) (/ x (pow y 2))) (/ 1 (* y z)))) |
(* (pow y 2) (- (+ (* -1/2 (/ t (pow z 3))) (/ x (pow y 2))) (/ 1 (* y z)))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 2))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 2))) (/ 1 y))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 2))) (/ 1 y))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 2))) (/ 1 y))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -1/2 (/ (* t y) (pow z 2))) |
(* y (- (* -1/2 (/ t (pow z 2))) (/ 1 y))) |
(* y (- (* -1/2 (/ t (pow z 2))) (/ 1 y))) |
(* y (- (* -1/2 (/ t (pow z 2))) (/ 1 y))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (/ 1 z)) y)) (* -1/2 (/ t (pow z 3))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (/ 1 z)) y)) (* -1/2 (/ t (pow z 3))))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 3))) (/ 1 (* y z)))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 2))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 2))) (/ 1 y))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 2))) (/ 1 y))) |
(* (pow y 2) (- (* -1/2 (/ t (pow z 2))) (/ 1 y))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(* -1/2 (/ (* t y) (pow z 2))) |
(* -1 (* y (+ (* 1/2 (/ t (pow z 2))) (/ 1 y)))) |
(* -1 (* y (+ (* 1/2 (/ t (pow z 2))) (/ 1 y)))) |
(* -1 (* y (+ (* 1/2 (/ t (pow z 2))) (/ 1 y)))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* 2 (/ z t)) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x))) |
(* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x))) |
(* x (+ 1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
x |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))) x)) 1))) |
x |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
x |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
| Outputs |
|---|
(- x (/ y z)) |
(-.f64 x (/.f64 y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(+ x (* -1 (/ y z))) |
(-.f64 x (/.f64 y z)) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) |
(*.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y) |
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) |
(*.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y) |
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) |
(*.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y) |
(* -1 y) |
(neg.f64 y) |
(+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 t (*.f64 z z)) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) |
(+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 t (*.f64 z z)) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) |
(+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 t (*.f64 z z)) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) y) |
(- x (/ y z)) |
(-.f64 x (/.f64 y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(* 2 (/ z t)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/ (+ (* 2 z) (* t x)) t) |
(/.f64 (fma.f64 #s(literal 2 binary64) z (*.f64 t x)) t) |
(/ (+ (* 2 z) (* t x)) t) |
(/.f64 (fma.f64 #s(literal 2 binary64) z (*.f64 t x)) t) |
(/ (+ (* 2 z) (* t x)) t) |
(/.f64 (fma.f64 #s(literal 2 binary64) z (*.f64 t x)) t) |
(* 2 (/ z t)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(* 2 (/ z t)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(* 2 (/ z t)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(* 2 (/ z t)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
-1 |
#s(literal -1 binary64) |
(- (* -1/2 (/ (* t y) (pow z 2))) 1) |
(fma.f64 (*.f64 (/.f64 t (*.f64 z z)) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) |
(- (* -1/2 (/ (* t y) (pow z 2))) 1) |
(fma.f64 (*.f64 (/.f64 t (*.f64 z z)) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) |
(- (* -1/2 (/ (* t y) (pow z 2))) 1) |
(fma.f64 (*.f64 (/.f64 t (*.f64 z z)) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(*.f64 (*.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) y) y) |
(* t (+ (* -1 (/ y (* t z))) (+ (* -1/2 (/ (pow y 2) (pow z 3))) (/ x t)))) |
(fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 x t)) t (/.f64 (neg.f64 y) z)) |
(* t (+ (* -1 (/ y (* t z))) (+ (* -1/2 (/ (pow y 2) (pow z 3))) (/ x t)))) |
(fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 x t)) t (/.f64 (neg.f64 y) z)) |
(* t (+ (* -1 (/ y (* t z))) (+ (* -1/2 (/ (pow y 2) (pow z 3))) (/ x t)))) |
(fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 x t)) t (/.f64 (neg.f64 y) z)) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(*.f64 (*.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) y) y) |
(* t (+ (* -1 (/ y (* t z))) (* -1/2 (/ (pow y 2) (pow z 3))))) |
(*.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y) |
(* t (+ (* -1 (/ y (* t z))) (* -1/2 (/ (pow y 2) (pow z 3))))) |
(*.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y) |
(* t (+ (* -1 (/ y (* t z))) (* -1/2 (/ (pow y 2) (pow z 3))))) |
(*.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y) |
(* -1/2 (/ (* t (pow y 2)) (pow z 2))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) (/.f64 t z)) |
(* t (+ (* -1 (/ y t)) (* -1/2 (/ (pow y 2) (pow z 2))))) |
(*.f64 (neg.f64 t) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (/.f64 y z) (/.f64 y t))) |
(* t (+ (* -1 (/ y t)) (* -1/2 (/ (pow y 2) (pow z 2))))) |
(*.f64 (neg.f64 t) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (/.f64 y z) (/.f64 y t))) |
(* t (+ (* -1 (/ y t)) (* -1/2 (/ (pow y 2) (pow z 2))))) |
(*.f64 (neg.f64 t) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (/.f64 y z) (/.f64 y t))) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 t #s(literal 3 binary64)) y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(* 2 (/ z t)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(* 2 (/ z t)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(* 2 (/ z t)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(* 2 (/ z t)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(* -1/2 (/ (* t y) (pow z 2))) |
(*.f64 (*.f64 (/.f64 t (*.f64 z z)) #s(literal -1/2 binary64)) y) |
(* t (- (* -1/2 (/ y (pow z 2))) (/ 1 t))) |
(fma.f64 (*.f64 (/.f64 t (*.f64 z z)) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) |
(* t (- (* -1/2 (/ y (pow z 2))) (/ 1 t))) |
(fma.f64 (*.f64 (/.f64 t (*.f64 z z)) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) |
(* t (- (* -1/2 (/ y (pow z 2))) (/ 1 t))) |
(fma.f64 (*.f64 (/.f64 t (*.f64 z z)) #s(literal -1/2 binary64)) y #s(literal -1 binary64)) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
(-.f64 x (/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 t y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) (neg.f64 t))) t)) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(*.f64 (*.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) y) y) |
(* -1 (* t (+ (* -1 (/ (+ x (* -1 (/ y z))) t)) (* 1/2 (/ (pow y 2) (pow z 3)))))) |
(fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 x t)) t (/.f64 (neg.f64 y) z)) |
(* -1 (* t (+ (* -1 (/ (+ x (* -1 (/ y z))) t)) (* 1/2 (/ (pow y 2) (pow z 3)))))) |
(fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 x t)) t (/.f64 (neg.f64 y) z)) |
(* -1 (* t (+ (* -1 (/ (+ x (* -1 (/ y z))) t)) (* 1/2 (/ (pow y 2) (pow z 3)))))) |
(fma.f64 (fma.f64 (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 x t)) t (/.f64 (neg.f64 y) z)) |
(* -1/2 (/ (* t (pow y 2)) (pow z 3))) |
(*.f64 (*.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) y) y) |
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (/ y (* t z))))) |
(*.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y) |
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (/ y (* t z))))) |
(*.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y) |
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (/ y (* t z))))) |
(*.f64 (fma.f64 (*.f64 t #s(literal -1/2 binary64)) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y) |
(* -1/2 (/ (* t (pow y 2)) (pow z 2))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) z) (/.f64 t z)) |
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 2))) (/ y t)))) |
(*.f64 (neg.f64 t) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (/.f64 y z) (/.f64 y t))) |
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 2))) (/ y t)))) |
(*.f64 (neg.f64 t) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (/.f64 y z) (/.f64 y t))) |
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 2))) (/ y t)))) |
(*.f64 (neg.f64 t) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) y) z) (/.f64 y z) (/.f64 y t))) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
(-.f64 x (/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 t y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) (neg.f64 t))) t)) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
(* 2 (/ z t)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(* 2 (/ z t)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(* 2 (/ z t)) |
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(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 (/.f64 y x) z) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 (/.f64 y x) z) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 (/.f64 y x) z) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x) |
| 4 936× | lower-/.f32 |
| 4 928× | lower-/.f64 |
| 4 722× | lower-*.f32 |
| 4 716× | lower-*.f64 |
| 3 298× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 170 |
| 0 | 48 | 170 |
| 1 | 215 | 170 |
| 2 | 1668 | 170 |
| 0 | 8083 | 162 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))) |
#s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)) |
(/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z) |
(*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/.f64 #s(literal 2 binary64) t) |
(fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y) z))) |
#s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y) z)) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 y z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) z)) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)) |
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z) y) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y) z)) |
(*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) (/.f64 y z)) |
(*.f64 y (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) z)) |
(pow.f64 (/.f64 (/.f64 z (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y) #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)))) (neg.f64 (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y))) |
(/.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) (neg.f64 z)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y) z) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y)))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z)) |
(neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) y) |
(*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y)) (neg.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) y)) (neg.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) y) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) y) (neg.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) y) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) y) (neg.f64 y)))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) y) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) y) (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal -1 binary64))))) |
(/.f64 (*.f64 y (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal 1 binary64))) |
(/.f64 (*.f64 y (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) y) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) y) (neg.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) y) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) y) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) y) (neg.f64 y))))) |
(fma.f64 (*.f64 y (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64))) t (neg.f64 y)) |
(fma.f64 (*.f64 y (/.f64 (/.f64 y z) z)) (*.f64 #s(literal -1/2 binary64) t) (neg.f64 y)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) y (neg.f64 y)) |
(fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) (*.f64 t y) (neg.f64 y)) |
(fma.f64 (/.f64 (/.f64 y z) z) (*.f64 (*.f64 #s(literal -1/2 binary64) t) y) (neg.f64 y)) |
(fma.f64 #s(literal -1 binary64) y (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) y)) |
(fma.f64 (*.f64 t y) (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) (neg.f64 y)) |
(fma.f64 t (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) y) (neg.f64 y)) |
(fma.f64 y (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) (neg.f64 y)) |
(fma.f64 y #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) y)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) y) (neg.f64 y))) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) y) (neg.f64 y)))) |
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) y) (neg.f64 y)) |
(+.f64 (neg.f64 y) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) y)) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 z #s(literal 1/2 binary64))) |
(*.f64 (*.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) t)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(*.f64 z (/.f64 #s(literal 2 binary64) t)) |
(*.f64 #s(literal 2 binary64) (/.f64 z t)) |
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 t #s(literal -1 binary64)) z)) |
(pow.f64 (/.f64 t (*.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) z)) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 t #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 z #s(literal -2 binary64))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (*.f64 t #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 z #s(literal 2 binary64)))) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 #s(literal -2 binary64) z) (neg.f64 t)) |
(/.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 t #s(literal 1/2 binary64))) |
(/.f64 (*.f64 z #s(literal -2 binary64)) (neg.f64 t)) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 t #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 t)) |
(/.f64 (*.f64 z #s(literal 2 binary64)) t) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z #s(literal 2 binary64)))) |
(/.f64 (neg.f64 z) (neg.f64 (*.f64 t #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 z #s(literal 2 binary64))))) |
(/.f64 z (*.f64 t #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 t) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) t)) |
(*.f64 #s(literal 2 binary64) (pow.f64 t #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (neg.f64 t)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 t)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 t #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 t #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 t))) |
(/.f64 #s(literal 2 binary64) t) |
(neg.f64 (/.f64 #s(literal -2 binary64) t)) |
(exp.f64 (*.f64 (log.f64 (*.f64 t #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal 2 binary64)) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal 1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal -1 binary64)))) (fma.f64 (pow.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 y))) (/.f64 (*.f64 #s(literal -1/2 binary64) t) (neg.f64 z)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 t y) z) #s(literal -1 binary64)) |
(fma.f64 (*.f64 t (/.f64 (/.f64 y z) z)) #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 t z) (*.f64 (/.f64 y z) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 y z) #s(literal -1/2 binary64)) (/.f64 t z) #s(literal -1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 z y)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64)) |
(fma.f64 (/.f64 (/.f64 y z) z) (*.f64 #s(literal -1/2 binary64) t) #s(literal -1 binary64)) |
(fma.f64 (/.f64 y z) (/.f64 (*.f64 #s(literal -1/2 binary64) t) z) #s(literal -1 binary64)) |
(fma.f64 (/.f64 y z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) t)) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (/.f64 y z) z) t) #s(literal -1 binary64)) |
(fma.f64 t (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t))) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal 2 binary64)) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal 1 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t)) |
Compiled 7 490 to 935 computations (87.5% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 436 | 0 | 436 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 6 | 6 |
| Total | 436 | 8 | 444 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 66.6% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
| ✓ | 60.2% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
| ✓ | 66.6% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) |
| ✓ | 17.9% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) |
| ✓ | 13.2% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
| ✓ | 13.1% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
| ✓ | 15.6% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))) |
| ✓ | 15.7% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
Compiled 210 to 149 computations (29% saved)
| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) y) x) (/.f64 (*.f64 y (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) t #s(literal -1 binary64))) z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) (neg.f64 z))) y x)) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y x)) |
| Outputs |
|---|
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
6 calls:
| 20.0ms | x |
| 5.0ms | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 5.0ms | t |
| 5.0ms | z |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.9% | 2 | x |
| 82.0% | 2 | y |
| 97.7% | 5 | z |
| 80.0% | 1 | t |
| 93.7% | 2 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 93.0% | 2 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
Compiled 36 to 41 computations (-13.9% saved)
| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
3 calls:
| 4.0ms | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 4.0ms | z |
| 3.0ms | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.5% | 4 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| 93.2% | 3 | z |
| 73.0% | 3 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
Compiled 33 to 29 computations (12.1% saved)
| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
1 calls:
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.2% | 3 | z |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 #s(approx (+ (* (* -1/2 y) (/ t (pow z 3))) (/ -1 z)) (/.f64 #s(literal -1 binary64) z)) y x)) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
6 calls:
| 8.0ms | x |
| 2.0ms | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 2.0ms | t |
| 2.0ms | z |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.6% | 1 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| 66.6% | 1 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 66.6% | 1 | t |
| 66.6% | 1 | x |
| 66.6% | 1 | y |
| 66.6% | 1 | z |
Compiled 36 to 41 computations (-13.9% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
| Outputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
6 calls:
| 1.0ms | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 1.0ms | t |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 15.7% | 1 | x |
| 15.7% | 1 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 15.7% | 1 | y |
| 15.7% | 1 | z |
| 15.7% | 1 | t |
| 15.7% | 1 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
Compiled 36 to 41 computations (-13.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.232692088562492e+292 | 1.0967551669946763e+294 |
Compiled 20 to 20 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 6.700170346667082e+34 | 4.7778228271758343e+52 |
| 114.0ms | -3.076753305931669e-45 | -3.4000401506222948e-46 |
| 17.0ms | 256× | 0 | valid |
Compiled 228 to 292 computations (-28.1% saved)
ival-mult: 7.0ms (64.4% of total)ival-sub: 2.0ms (18.4% of total)ival-div: 1.0ms (9.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.700170346667082e+34 | 4.7778228271758343e+52 |
| 1.0ms | -3.076753305931669e-45 | -3.4000401506222948e-46 |
Compiled 228 to 292 computations (-28.1% saved)
| 1× | egg-herbie |
| 236× | unsub-neg-binary64--.f64-neg.f64-+.f64 |
| 156× | distribute-lft-neg-in-binary64-*.f64-neg.f64 |
| 156× | neg-mul-1-binary64-*.f64-neg.f64 |
| 74× | distribute-rgt-neg-in-binary64-*.f64-neg.f64 |
| 66× | neg-sub0-binary64--.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 265 |
| 1 | 71 | 265 |
| 2 | 95 | 265 |
| 3 | 121 | 265 |
| 4 | 168 | 265 |
| 5 | 217 | 265 |
| 6 | 265 | 265 |
| 7 | 385 | 265 |
| 8 | 561 | 265 |
| 9 | 658 | 265 |
| 10 | 666 | 265 |
| 11 | 668 | 265 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #s(literal 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984 binary64)) (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))) |
(if (<=.f64 z #s(literal -4820814132776971/1606938044258990275541962092341162602522202993782792835301376 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 31000000000000001757761616363586060288 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))) |
(if (<=.f64 z #s(literal -4820814132776971/1606938044258990275541962092341162602522202993782792835301376 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 31000000000000001757761616363586060288 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #s(literal 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984 binary64)) (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))) |
(if (<=.f64 (-.f64 x (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 t y)))) #s(literal 99999999999999992462348437353960485060448933957923525202610654848990348279466077292501969423268405025328970231162545648343655275306678872441733790178059478330735395060467469727994972900530063978805843953102113868000379620369084502134308975505229555772913629423636305841602377586326247764393984 binary64)) (-.f64 x (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 t y)))) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))) |
(if (<=.f64 z #s(literal -4820814132776971/1606938044258990275541962092341162602522202993782792835301376 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 31000000000000001757761616363586060288 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))) |
(if (<=.f64 z #s(literal -4820814132776971/1606938044258990275541962092341162602522202993782792835301376 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 31000000000000001757761616363586060288 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) |
| 10 952× | lower-fma.f64 |
| 10 952× | lower-fma.f32 |
| 9 032× | lower-fma.f64 |
| 9 032× | lower-fma.f32 |
| 5 728× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 347 | 2160 |
| 1 | 1030 | 2124 |
| 2 | 3147 | 2097 |
| 0 | 8645 | 1977 |
| 0 | 684 | 9776 |
| 1 | 2116 | 9633 |
| 2 | 6596 | 9583 |
| 0 | 8250 | 9005 |
| 0 | 41 | 263 |
| 0 | 64 | 263 |
| 1 | 256 | 263 |
| 2 | 1835 | 263 |
| 0 | 8588 | 260 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 148 to 91 computations (38.5% saved)
Compiled 278 to 124 computations (55.4% saved)
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