
Time bar (total: 8.0s)
| 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)
| 1.0s | 8 256× | 0 | valid |
ival-mult: 453.0ms (66.6% of total)ival-div: 113.0ms (16.6% of total)ival-sub: 101.0ms (14.9% of total)ival-true: 5.0ms (0.7% of total)exact: 5.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 91 | 1 | (-1.5195469007191512e+229 -3.9125361414073018e-146 -5.453377128663626e+177 1.4093218805355893e+119) | 1 | (-4.124423224141372e+155 4.561472749858022e-82 -1.9443311222834146e-236 1.9969597660454438e-144) | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| 6 | 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 | 20 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | overflow | 41 | |
| ↳ | (*.f64 y t) | overflow | 38 | |
| ↳ | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | overflow | 104 | |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | overflow | 79 | |
-.f64 | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | nan-rescue | 6 | 0 |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | overflow | 79 | |
| ↳ | (*.f64 y t) | overflow | 38 | |
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | n/o | 3 | 0 |
| ↳ | (*.f64 y t) | overflow | 38 | |
| ↳ | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | overflow | 104 | |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | overflow | 79 | |
/.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 | 21 | |
| ↳ | (*.f64 y t) | underflow | 24 | |
| ↳ | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | underflow | 4 | |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | underflow | 42 | |
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | o/n | 1 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | overflow | 41 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 29 | 18 |
| - | 1 | 208 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 29 | 0 | 18 |
| - | 1 | 0 | 208 |
| number | freq |
|---|---|
| 0 | 226 |
| 1 | 28 |
| 2 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 61.0ms | 512× | 0 | valid |
Compiled 151 to 43 computations (71.5% saved)
ival-mult: 20.0ms (67.9% of total)ival-div: 4.0ms (13.6% of total)ival-sub: 4.0ms (13.6% 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 |
|---|---|---|
| ▶ | 81.6% | (-.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 | 1.253904185830206 | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | |
| accuracy | 21.793301741506 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| 37.0ms | 256× | 0 | valid |
Compiled 67 to 15 computations (77.6% saved)
ival-mult: 7.0ms (53.3% of total)ival-sub: 4.0ms (30.4% of total)ival-div: 1.0ms (7.6% 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>) () ())) ()) |
#s(alt (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -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 | |
|---|---|---|---|---|
| 7.0ms | 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))) |
| 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 | 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 | 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 | @ | 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)))) |
(-.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)) |
(* -2 (/ z t)) |
(*.f64 #s(literal -2 binary64) (/.f64 z t)) |
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(- (+ 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)))) |
(/.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 (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))) (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)))) |
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(/.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 |
|---|---|---|
| ▶ | 90.2% | (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) |
| ▶ | 52.1% | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
| ▶ | 68.8% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
| ▶ | 59.8% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) |
| ▶ | 59.8% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
Compiled 100 to 98 computations (2% saved)
| 1× | egg-herbie |
Found 18 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 | 0 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) | |
| cost-diff | 128 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.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))) | |
| cost-diff | 0 | (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) y) | |
| cost-diff | 0 | (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) | |
| cost-diff | 128 | (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) |
| 2 040× | lower-fma.f32 |
| 2 034× | lower-fma.f64 |
| 1 528× | lower-*.f32 |
| 1 514× | lower-*.f64 |
| 718× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 271 |
| 0 | 58 | 271 |
| 1 | 107 | 271 |
| 2 | 184 | 270 |
| 3 | 387 | 270 |
| 4 | 695 | 270 |
| 5 | 1127 | 270 |
| 6 | 2348 | 270 |
| 7 | 3155 | 270 |
| 8 | 3816 | 270 |
| 9 | 3974 | 270 |
| 10 | 4014 | 270 |
| 11 | 4030 | 270 |
| 12 | 4044 | 270 |
| 13 | 4112 | 270 |
| 14 | 4155 | 270 |
| 15 | 4155 | 270 |
| 16 | 4195 | 270 |
| 17 | 4367 | 270 |
| 18 | 4367 | 270 |
| 0 | 4367 | 262 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) |
z |
(/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) |
(*.f64 #s(literal -2 binary64) y) |
#s(literal -2 binary64) |
y |
(fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) |
(neg.f64 t) |
t |
(*.f64 (*.f64 z #s(literal 2 binary64)) z) |
(*.f64 z #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(-.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 |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
x |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) z) |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
z |
#s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) |
(*.f64 (neg.f64 t) y) |
(neg.f64 t) |
t |
| Outputs |
|---|
(fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) |
(fma.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) (*.f64 #s(literal 2 binary64) z) x) |
z |
(/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) |
(*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) #s(literal 2 binary64)) |
(*.f64 #s(literal -2 binary64) y) |
(*.f64 y #s(literal -2 binary64)) |
#s(literal -2 binary64) |
y |
(fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) |
(fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)) |
(neg.f64 t) |
t |
(*.f64 (*.f64 z #s(literal 2 binary64)) z) |
(*.f64 (*.f64 #s(literal 2 binary64) z) z) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
x |
(-.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 |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) y x) |
x |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) z) |
(*.f64 (*.f64 #s(literal 2 binary64) y) z) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
z |
#s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) |
(*.f64 (neg.f64 t) y) |
(neg.f64 t) |
t |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) | |
| accuracy | 21.793301741506 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) | |
| accuracy | 34.312635703641455 | #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) | |
| accuracy | 0 | (/.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 | 0.01171875 | (*.f64 #s(literal -2 binary64) (/.f64 z t)) | |
| accuracy | 35.731114207481106 | #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 | 0.0859375 | (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) | |
| accuracy | 25.72347839525051 | #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 | 26.9848955751203 | #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 0.2539034976055602 | (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) | |
| accuracy | 1.759198803584614 | (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) | |
| accuracy | 14.081123186162598 | (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) |
| 51.0ms | 256× | 0 | valid |
Compiled 236 to 29 computations (87.7% saved)
ival-mult: 14.0ms (47.8% of total)ival-div: 8.0ms (27.3% of total)ival-add: 3.0ms (10.2% of total)ival-sub: 2.0ms (6.8% of total)ival-neg: 1.0ms (3.4% 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 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (patch (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -2 binary64) y) (patch (*.f64 #s(literal -2 binary64) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (patch (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) #<representation binary64>) () ()) |
#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 (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) #<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 (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) (patch #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ y (pow z 2))) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (patch (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (pow z 2))) (* -1/2 (/ (* t (pow y 2)) (pow z 4)))) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (patch (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (pow z 2))) (* t (+ (* -1/2 (/ (pow y 2) (pow z 4))) (* -1/4 (/ (* t (pow y 3)) (pow z 6)))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (patch (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (pow z 2))) (* t (+ (* -1/2 (/ (pow y 2) (pow z 4))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 6))) (* -1/8 (/ (* t (pow y 4)) (pow z 8)))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (patch (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ y z))) (taylor 0 t) (#s(alt (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) 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 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))) (taylor 0 t) (#s(alt (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -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))))))))) (taylor 0 t) (#s(alt (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow z 2)) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (patch (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (patch (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (patch (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t y)) (* 2 (pow z 2))) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (patch (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) #<representation binary64>) () ())) ()) |
#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>) () ())) ()) |
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#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 (/.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 (+ 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 (/.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 (+ 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 (/.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 (* x (+ 1 (* 2 (/ z (* t 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 (* x (+ 1 (* 2 (/ z (* t 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 (* x (+ 1 (* 2 (/ z (* t 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 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>) () ())) ()) |
#s(alt (* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (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 (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (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 (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (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 (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) #<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) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) #<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) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) #<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) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2)))))) 1))) (taylor -inf x) (#s(alt (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2)))))) 1))) (taylor -inf x) (#s(alt (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2)))))) 1))) (taylor -inf x) (#s(alt (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) (patch (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) 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 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>) () ())) ()) |
#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 (* -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>) () ())) ()) |
#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 (* -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 (* -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 (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) #<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) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) #<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) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) #<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) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | ((/ (* -2 y) (+ (* (neg t) y) (* (* z 2) z))) (+ (* z (/ (* -2 y) (+ (* (neg t) y) (* (* z 2) z)))) x) (* -2 y) (+ (* (neg t) y) (* (* z 2) z)) (- 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)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (neg t) (- (* (* z 2) z) (* y t))) |
| 4.0ms | t | @ | inf | ((/ (* -2 y) (+ (* (neg t) y) (* (* z 2) z))) (+ (* z (/ (* -2 y) (+ (* (neg t) y) (* (* z 2) z)))) x) (* -2 y) (+ (* (neg t) y) (* (* z 2) z)) (- 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)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (neg t) (- (* (* z 2) z) (* y t))) |
| 4.0ms | z | @ | 0 | ((/ (* -2 y) (+ (* (neg t) y) (* (* z 2) z))) (+ (* z (/ (* -2 y) (+ (* (neg t) y) (* (* z 2) z)))) x) (* -2 y) (+ (* (neg t) y) (* (* z 2) z)) (- 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)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (neg t) (- (* (* z 2) z) (* y t))) |
| 3.0ms | t | @ | -inf | ((/ (* -2 y) (+ (* (neg t) y) (* (* z 2) z))) (+ (* z (/ (* -2 y) (+ (* (neg t) y) (* (* z 2) z)))) x) (* -2 y) (+ (* (neg t) y) (* (* z 2) z)) (- 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)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (neg t) (- (* (* z 2) z) (* y t))) |
| 2.0ms | z | @ | -inf | ((/ (* -2 y) (+ (* (neg t) y) (* (* z 2) z))) (+ (* z (/ (* -2 y) (+ (* (neg t) y) (* (* z 2) z)))) x) (* -2 y) (+ (* (neg t) y) (* (* z 2) z)) (- 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)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (neg t) (- (* (* z 2) z) (* y t))) |
| 1× | egg-herbie |
| 7 544× | lower-fma.f64 |
| 7 544× | lower-fma.f32 |
| 5 230× | lower-*.f64 |
| 5 230× | lower-*.f32 |
| 2 596× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 574 | 8900 |
| 1 | 1726 | 8813 |
| 2 | 5036 | 8705 |
| 0 | 8196 | 8179 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (pow z 2))) |
(+ (* -1 (/ y (pow z 2))) (* -1/2 (/ (* t (pow y 2)) (pow z 4)))) |
(+ (* -1 (/ y (pow z 2))) (* t (+ (* -1/2 (/ (pow y 2) (pow z 4))) (* -1/4 (/ (* t (pow y 3)) (pow z 6)))))) |
(+ (* -1 (/ y (pow z 2))) (* t (+ (* -1/2 (/ (pow y 2) (pow z 4))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 6))) (* -1/8 (/ (* t (pow y 4)) (pow z 8)))))))) |
(+ x (* -1 (/ y z))) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))) |
(+ x (+ (* -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))))))))) |
(* 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 (/ 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)) |
(- x (/ y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
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(* 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))))) |
(* -1 (/ y (pow z 2))) |
(* y (- (* -1/2 (/ (* t y) (pow z 4))) (/ 1 (pow z 2)))) |
(* y (- (* y (+ (* -1/2 (/ t (pow z 4))) (* -1/4 (/ (* (pow t 2) y) (pow z 6))))) (/ 1 (pow z 2)))) |
(* y (- (* y (+ (* -1/2 (/ t (pow z 4))) (* y (+ (* -1/4 (/ (pow t 2) (pow z 6))) (* -1/8 (/ (* (pow t 3) y) (pow z 8))))))) (/ 1 (pow z 2)))) |
x |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 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 |
(+ 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))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y 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 (- (* 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))) |
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))) |
(/ 2 t) |
(+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))) |
(- (+ (* 8 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (* 2 (/ 1 t))) (* -4 (/ (pow z 2) (* (pow t 2) y)))) |
(- (+ (* 16 (/ (pow z 6) (* (pow t 4) (pow y 3)))) (* 2 (/ 1 t))) (+ (* -8 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (* -4 (/ (pow z 2) (* (pow t 2) y))))) |
(+ x (* 2 (/ z t))) |
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y))))) |
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))))) |
(+ x (+ (* 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)))))))) |
(* -2 y) |
(* -2 y) |
(* -2 y) |
(* -2 y) |
(* -1 (* t y)) |
(* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))) |
(* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))) |
(* y (+ (* -1 t) (* 2 (/ (pow z 2) 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))))) |
(* -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))))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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))))) |
(- 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))))) |
(- 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)) |
(/ 2 t) |
(+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))) |
(+ (* -1 (/ (- (* -8 (/ (pow z 4) (* (pow t 3) y))) (* 4 (/ (pow z 2) (pow t 2)))) y)) (* 2 (/ 1 t))) |
(+ (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 6) (* (pow t 4) y))) (* -8 (/ (pow z 4) (pow t 3)))) y)) (* 4 (/ (pow z 2) (pow t 2)))) y)) (* 2 (/ 1 t))) |
(+ x (* 2 (/ z t))) |
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y))))) |
(+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t)))) |
(+ x (+ (* -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)))) |
(* -2 y) |
(* -2 y) |
(* -2 y) |
(* -2 y) |
(* -1 (* t y)) |
(* -1 (* y (+ t (* -2 (/ (pow z 2) y))))) |
(* -1 (* y (+ t (* -2 (/ (pow z 2) y))))) |
(* -1 (* y (+ t (* -2 (/ (pow z 2) 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))) |
(* -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))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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))) |
(- 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))) |
(- 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) (+ (* -1 (* t y)) (* 2 (pow z 2))))) |
(+ x (* -2 (/ (* y z) (+ (* -1 (* t y)) (* 2 (pow z 2)))))) |
(+ x (* -2 (/ (* y z) (+ (* -1 (* t y)) (* 2 (pow z 2)))))) |
(+ x (* -2 (/ (* y z) (+ (* -1 (* t y)) (* 2 (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))))) |
(* -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 (/ (* 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 (+ (* -1 (* t y)) (* 2 (pow z 2)))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2)))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2)))))))) |
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 (/ (* 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 (+ (* -1 (* t y)) (* 2 (pow z 2)))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2)))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (+ (* -1 (* t y)) (* 2 (pow z 2)))))) 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 (/ (* 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 |
|---|
(* -1 (/ y (pow z 2))) |
(/.f64 (neg.f64 y) (*.f64 z z)) |
(+ (* -1 (/ y (pow z 2))) (* -1/2 (/ (* t (pow y 2)) (pow z 4)))) |
(fma.f64 (*.f64 t #s(literal -1/2 binary64)) (*.f64 y (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (/.f64 (neg.f64 y) (*.f64 z z))) |
(+ (* -1 (/ y (pow z 2))) (* t (+ (* -1/2 (/ (pow y 2) (pow z 4))) (* -1/4 (/ (* t (pow y 3)) (pow z 6)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 4 binary64)))) t (/.f64 (neg.f64 y) (*.f64 z z))) |
(+ (* -1 (/ y (pow z 2))) (* t (+ (* -1/2 (/ (pow y 2) (pow z 4))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 6))) (* -1/8 (/ (* t (pow y 4)) (pow z 8)))))))) |
(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 8 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 6 binary64)))) t (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 4 binary64)))) t (/.f64 (neg.f64 y) (*.f64 z 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 (*.f64 t #s(literal -1/2 binary64)) (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (-.f64 x (/.f64 y z))) |
(+ x (+ (* -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 #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 (+ (* -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 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.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 (/ y z)) |
(-.f64 x (/.f64 y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(fma.f64 (*.f64 t #s(literal -1/2 binary64)) (*.f64 y (/.f64 y (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)) |
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(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) x) x x) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) x) x x) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) x) x x) |
| 6 486× | lower-fma.f32 |
| 6 480× | lower-fma.f64 |
| 5 026× | lower-*.f32 |
| 5 012× | lower-*.f64 |
| 4 668× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 235 |
| 0 | 58 | 235 |
| 1 | 232 | 234 |
| 2 | 1720 | 234 |
| 0 | 8802 | 233 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) |
(fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) |
(*.f64 #s(literal -2 binary64) y) |
(fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) |
(-.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) |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) z) |
(*.f64 y #s(literal 2 binary64)) |
(neg.f64 t) |
#s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) z) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) (/.f64 y (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 t y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) z) #s(literal 2 binary64)))) (/.f64 y (pow.f64 (-.f64 (*.f64 (neg.f64 t) y) (*.f64 (*.f64 #s(literal 2 binary64) z) z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (/.f64 y (pow.f64 (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 t y)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (/.f64 y (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) z) (*.f64 (neg.f64 t) y)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) |
(*.f64 (/.f64 y (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) z) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) (/.f64 #s(literal -2 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 t y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (-.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) z) #s(literal 2 binary64)))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 (*.f64 (neg.f64 t) y) (*.f64 (*.f64 #s(literal 2 binary64) z) z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) (pow.f64 (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 t y)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) z) (*.f64 (neg.f64 t) y)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) z) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 t y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) z) #s(literal 2 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 t y))) |
(*.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) (-.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (neg.f64 t) y) (*.f64 (*.f64 #s(literal 2 binary64) z) z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) (-.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) z) #s(literal 2 binary64)))) (-.f64 (*.f64 (neg.f64 t) y) (*.f64 (*.f64 #s(literal 2 binary64) z) z))) |
(*.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 t y)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) z) (*.f64 (neg.f64 t) y)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 z 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 t y) (fma.f64 (*.f64 #s(literal 2 binary64) z) z (*.f64 t y))))) |
(*.f64 (/.f64 (*.f64 y #s(literal -2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 z z) #s(literal 3 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) z) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) z) (*.f64 (neg.f64 t) y)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))) #s(literal -2 binary64)) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)) #s(literal -1 binary64)) (*.f64 y #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))) #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (neg.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))) #s(literal -1 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) |
(*.f64 (*.f64 y #s(literal -2 binary64)) (pow.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)) #s(literal -1 binary64))) |
(*.f64 y (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) |
(*.f64 y (*.f64 #s(literal -2 binary64) (pow.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)) #s(literal -1 binary64)))) |
(*.f64 #s(literal -2 binary64) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) |
(pow.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)) y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))))) |
(/.f64 (*.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) (neg.f64 (neg.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)) y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)) y)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)) y))) |
(/.f64 (*.f64 #s(literal 2 binary64) y) (neg.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) |
(/.f64 (*.f64 y #s(literal -2 binary64)) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))) |
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) |
(neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) (*.f64 #s(literal 2 binary64) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)) y))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 #s(literal 2 binary64) y)) (fma.f64 (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 #s(literal 2 binary64) y) x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 #s(literal 2 binary64) y) x) (-.f64 (*.f64 x x) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 #s(literal 2 binary64) y)) (fma.f64 (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 #s(literal 2 binary64) y) x) (*.f64 x x)) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (neg.f64 x)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) #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 y (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))))))) (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 #s(literal 2 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) #s(literal 2 binary64))) (fma.f64 (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 #s(literal 2 binary64) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 #s(literal 2 binary64) y) x)) (/.f64 (*.f64 x x) (fma.f64 (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 #s(literal 2 binary64) y) x)) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) #s(literal 2 binary64))) (fma.f64 (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 #s(literal 2 binary64) y) x)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) #s(literal 2 binary64))) (fma.f64 (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 #s(literal 2 binary64) y) x)) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 #s(literal 2 binary64) y) x)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z)))) #s(literal 2 binary64))) (fma.f64 (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal 2 binary64) z) z))) (*.f64 #s(literal 2 binary64) y) x)))))) |
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(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))))) (/.f64 (pow.f64 (/.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) z)) #s(literal -2 binary64)) (-.f64 x (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))))))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 z (/.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) x)) (/.f64 (pow.f64 (/.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) z)) #s(literal -2 binary64)) (fma.f64 z (/.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) x))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) (fma.f64 z (/.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) z)) #s(literal -3 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) (fma.f64 z (/.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) x) (*.f64 x x)))) |
(-.f64 x (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) x) |
(+.f64 x (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))))) |
(*.f64 (/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64)) (/.f64 z #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
(*.f64 (/.f64 z #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) (*.f64 #s(literal 2 binary64) y)) |
(*.f64 (pow.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) z)) (pow.f64 (neg.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) (pow.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
(*.f64 #s(literal 2 binary64) (*.f64 y (/.f64 z #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))))) |
(*.f64 z (/.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
(*.f64 z (*.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) #s(literal -1 binary64)))) |
(*.f64 y (/.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
(*.f64 y (*.f64 (*.f64 #s(literal 2 binary64) z) (pow.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) #s(literal -1 binary64)))) |
(*.f64 y (*.f64 #s(literal 2 binary64) (/.f64 z #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))))) |
(pow.f64 (/.f64 (/.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) z)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) z)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) z)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(literal 1 binary64))) (neg.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) z))) (neg.f64 (neg.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(literal 1 binary64)) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) z)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) z)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) z))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) z)) (neg.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) |
(neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 y z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) (*.f64 (*.f64 #s(literal 2 binary64) y) z))) #s(literal -1 binary64))) |
(*.f64 (*.f64 y z) #s(literal 2 binary64)) |
(*.f64 (*.f64 z y) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) y) z) |
(*.f64 (*.f64 #s(literal 2 binary64) z) y) |
(*.f64 #s(literal 2 binary64) (*.f64 y z)) |
(*.f64 z (*.f64 #s(literal 2 binary64) y)) |
(*.f64 y (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -2 binary64))) |
(*.f64 (neg.f64 y) #s(literal -2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal -2 binary64) (neg.f64 y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64)))))) |
(neg.f64 (*.f64 y #s(literal -2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) t) |
(*.f64 t #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 t) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 t t) (*.f64 #s(literal 0 binary64) (neg.f64 t))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t))) (neg.f64 (+.f64 #s(literal 0 binary64) t))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))) |
(neg.f64 t) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) t)) (/.f64 (*.f64 t t) (+.f64 #s(literal 0 binary64) t))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
(-.f64 #s(literal 0 binary64) t) |
(+.f64 #s(literal 0 binary64) (neg.f64 t)) |
#s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) |
Compiled 26 444 to 2 190 computations (91.7% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 113 | 2 | 1 115 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 115 | 5 | 1 120 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.2% | (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) |
| ✓ | 68.8% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
| ✓ | 59.8% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
| ▶ | 45.0% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) |
| ▶ | 11.3% | #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)))) |
Compiled 46 to 47 computations (-2.2% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) | |
| cost-diff | 0 | #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) | |
| cost-diff | 320 | (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t) | |
| 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)))) |
| 2 272× | lower-fma.f32 |
| 2 270× | lower-fma.f64 |
| 2 034× | times-frac |
| 1 896× | lower-*.f32 |
| 1 892× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 126 |
| 0 | 31 | 126 |
| 1 | 55 | 126 |
| 2 | 97 | 126 |
| 3 | 212 | 126 |
| 4 | 410 | 126 |
| 5 | 719 | 126 |
| 6 | 1637 | 126 |
| 7 | 2509 | 126 |
| 8 | 2895 | 126 |
| 9 | 3108 | 126 |
| 10 | 3277 | 126 |
| 11 | 3330 | 126 |
| 12 | 3403 | 123 |
| 13 | 3840 | 123 |
| 14 | 3956 | 123 |
| 15 | 4452 | 123 |
| 16 | 4764 | 123 |
| 17 | 4912 | 123 |
| 18 | 4992 | 123 |
| 19 | 5006 | 123 |
| 20 | 5022 | 123 |
| 21 | 5226 | 123 |
| 22 | 5891 | 123 |
| 23 | 7249 | 123 |
| 24 | 7743 | 123 |
| 25 | 7775 | 123 |
| 0 | 8506 | 112 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) |
#s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) |
(/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t) |
(fma.f64 x t (*.f64 #s(literal 2 binary64) z)) |
x |
t |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
| Outputs |
|---|
#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)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) |
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/.f64 z t) |
z |
t |
#s(literal 2 binary64) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))) |
#s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) |
#s(approx (+ (* (/ 2 t) z) x) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
(/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(fma.f64 x t (*.f64 #s(literal 2 binary64) z)) |
(fma.f64 t x (*.f64 z #s(literal 2 binary64))) |
x |
t |
(*.f64 #s(literal 2 binary64) z) |
(*.f64 z #s(literal 2 binary64)) |
#s(literal 2 binary64) |
z |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 2 binary64) z) | |
| accuracy | 0 | #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) | |
| accuracy | 9.47129792358449 | (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t) | |
| accuracy | 25.72347839525051 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0.01171875 | (*.f64 (/.f64 z t) #s(literal 2 binary64)) | |
| accuracy | 25.72347839525051 | #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 | 31.71279496129143 | #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) |
| 38.0ms | 256× | 0 | valid |
Compiled 84 to 24 computations (71.4% saved)
ival-mult: 17.0ms (61.3% of total)ival-div: 6.0ms (21.6% of total)ival-sub: 2.0ms (7.2% of total)ival-add: 2.0ms (7.2% 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 (+ (* (/ 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 (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t) (patch (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) (patch #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) (patch (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) z) (patch (*.f64 #s(literal 2 binary64) z) #<representation binary64>) () ()) |
| Outputs |
|---|
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#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)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) (patch #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 2 (/ z (* t x))))) (taylor inf x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) (patch #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 2 (/ z (* t x))))) (taylor inf x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) (patch #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 2 (/ z (* t x))))) (taylor inf x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) (patch #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (* t x) (taylor inf x) (#s(alt (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) (patch (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ t (* 2 (/ z x)))) (taylor inf x) (#s(alt (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) (patch (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ t (* 2 (/ z x)))) (taylor inf x) (#s(alt (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) (patch (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ t (* 2 (/ z x)))) (taylor inf x) (#s(alt (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) (patch (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#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 (* -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 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 (* -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 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 (* -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 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 x (taylor -inf x) (#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 (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#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 x (taylor -inf x) (#s(alt (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t) (patch (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t) (patch (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t) (patch (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t) (patch (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) #<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 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) #<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 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) #<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 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) (patch #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) (patch #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) (patch #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -2 (/ z (* t x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) (patch #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (* t x) (taylor -inf x) (#s(alt (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) (patch (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ z x)) (* -1 t)))) (taylor -inf x) (#s(alt (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) (patch (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ z x)) (* -1 t)))) (taylor -inf x) (#s(alt (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) (patch (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -2 (/ z x)) (* -1 t)))) (taylor -inf x) (#s(alt (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) (patch (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (/ (+ (* x t) (* 2 z)) t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (+ (* x t) (* 2 z)) (* 2 z)) |
| 1.0ms | z | @ | -inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (/ (+ (* x t) (* 2 z)) t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (+ (* x t) (* 2 z)) (* 2 z)) |
| 1.0ms | z | @ | inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (/ (+ (* x t) (* 2 z)) t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (+ (* x t) (* 2 z)) (* 2 z)) |
| 1.0ms | t | @ | -inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (/ (+ (* x t) (* 2 z)) t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (+ (* x t) (* 2 z)) (* 2 z)) |
| 1.0ms | x | @ | -inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (/ (+ (* x t) (* 2 z)) t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (+ (* x t) (* 2 z)) (* 2 z)) |
| 1× | egg-herbie |
| 9 490× | lower-fma.f64 |
| 9 490× | lower-fma.f32 |
| 5 216× | lower-*.f64 |
| 5 216× | lower-*.f32 |
| 3 530× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 235 | 2934 |
| 1 | 714 | 2906 |
| 2 | 2126 | 2859 |
| 3 | 7112 | 2859 |
| 0 | 8031 | 2666 |
| 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)) |
(* 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) |
(* 2 (/ z t)) |
(/ (+ (* 2 z) (* t x)) t) |
(/ (+ (* 2 z) (* t x)) t) |
(/ (+ (* 2 z) (* t x)) 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) |
(* 2 z) |
(+ (* 2 z) (* t x)) |
(+ (* 2 z) (* t x)) |
(+ (* 2 z) (* t x)) |
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 (* 2 (/ z t))) |
(+ x (* 2 (/ 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))) |
(* t x) |
(* t (+ x (* 2 (/ z t)))) |
(* t (+ x (* 2 (/ z t)))) |
(* t (+ x (* 2 (/ 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))) |
(* 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 (* 2 (/ z t))) |
(+ x (* 2 (/ 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))) |
(* t x) |
(* -1 (* t (+ (* -2 (/ z t)) (* -1 x)))) |
(* -1 (* t (+ (* -2 (/ z t)) (* -1 x)))) |
(* -1 (* t (+ (* -2 (/ z t)) (* -1 x)))) |
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 (* 2 (/ z t))) |
(+ x (* 2 (/ 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))) |
(* t x) |
(+ (* 2 z) (* t x)) |
(+ (* 2 z) (* t x)) |
(+ (* 2 z) (* t x)) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 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) |
(* 2 (/ z t)) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(* z (+ (* 2 (/ 1 t)) (/ x 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) |
(* z (+ 2 (/ (* t x) z))) |
(* z (+ 2 (/ (* t x) z))) |
(* z (+ 2 (/ (* t x) z))) |
(* 2 z) |
(* 2 z) |
(* 2 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))) |
(* 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) |
(* 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))))) |
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) |
(* -1 (* z (- (* -1 (/ (* t x) z)) 2))) |
(* -1 (* z (- (* -1 (/ (* t x) z)) 2))) |
(* -1 (* z (- (* -1 (/ (* t x) z)) 2))) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 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 (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 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))))) |
(- 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 (* -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))) |
(* -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 (/ 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 z) |
(+ (* 2 z) (* t x)) |
(+ (* 2 z) (* t x)) |
(+ (* 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 (/ 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))))) |
(* t x) |
(* x (+ t (* 2 (/ z x)))) |
(* x (+ t (* 2 (/ z x)))) |
(* x (+ t (* 2 (/ 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 (- (* -2 (/ z (* t x))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 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))) |
(* t x) |
(* -1 (* x (+ (* -2 (/ z x)) (* -1 t)))) |
(* -1 (* x (+ (* -2 (/ z x)) (* -1 t)))) |
(* -1 (* x (+ (* -2 (/ z x)) (* -1 t)))) |
| 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 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (/.f64 t (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 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 7 binary64))) t (/.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))) |
(* 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) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(* 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) |
(- 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 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (/.f64 t (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 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64)) (pow.f64 z #s(literal 7 binary64))) t (/.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))) |
(* 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) |
(*.f64 #s(literal 2 binary64) z) |
(+ (* 2 z) (* t x)) |
(fma.f64 #s(literal 2 binary64) z (*.f64 t x)) |
(+ (* 2 z) (* t x)) |
(fma.f64 #s(literal 2 binary64) z (*.f64 t x)) |
(+ (* 2 z) (* t x)) |
(fma.f64 #s(literal 2 binary64) z (*.f64 t x)) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) 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)))) |
(+.f64 (/.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))) t)) t) x) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) 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) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) 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)))) |
(+.f64 (/.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))) t)) t) x) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(* t x) |
(*.f64 t x) |
(* t (+ x (* 2 (/ z t)))) |
(*.f64 (fma.f64 (/.f64 z t) #s(literal 2 binary64) x) t) |
(* t (+ x (* 2 (/ z t)))) |
(*.f64 (fma.f64 (/.f64 z t) #s(literal 2 binary64) x) t) |
(* t (+ x (* 2 (/ z t)))) |
(*.f64 (fma.f64 (/.f64 z t) #s(literal 2 binary64) x) t) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) 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 (/.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))) t)) t) x) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) 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) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) 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 (/.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))) t)) t) x) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(* t x) |
(*.f64 t x) |
(* -1 (* t (+ (* -2 (/ z t)) (* -1 x)))) |
(*.f64 (fma.f64 (/.f64 z t) #s(literal 2 binary64) x) t) |
(* -1 (* t (+ (* -2 (/ z t)) (* -1 x)))) |
(*.f64 (fma.f64 (/.f64 z t) #s(literal 2 binary64) x) t) |
(* -1 (* t (+ (* -2 (/ z t)) (* -1 x)))) |
(*.f64 (fma.f64 (/.f64 z t) #s(literal 2 binary64) x) t) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 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 (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) z) y) (/.f64 z (*.f64 (pow.f64 t #s(literal 3 binary64)) y)) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 t t) y))) (pow.f64 z #s(literal 3 binary64)) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) 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) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 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 (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) z) y) (/.f64 z (*.f64 (pow.f64 t #s(literal 3 binary64)) y)) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 t t) y))) (pow.f64 z #s(literal 3 binary64)) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(* t x) |
(*.f64 t x) |
(+ (* 2 z) (* t x)) |
(fma.f64 #s(literal 2 binary64) z (*.f64 t x)) |
(+ (* 2 z) (* t x)) |
(fma.f64 #s(literal 2 binary64) z (*.f64 t x)) |
(+ (* 2 z) (* t x)) |
(fma.f64 #s(literal 2 binary64) z (*.f64 t x)) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
x |
(+ x (* -1 (/ y z))) |
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(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (*.f64 (/.f64 y x) z) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (*.f64 (/.f64 y x) z) #s(literal 1 binary64)) x) |
x |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x) |
(* t x) |
(*.f64 t x) |
(* x (+ t (* 2 (/ z x)))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal 2 binary64) t) x) |
(* x (+ t (* 2 (/ z x)))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal 2 binary64) t) x) |
(* x (+ t (* 2 (/ z x)))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal 2 binary64) t) 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 (/.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 z z) #s(literal 2 binary64)))) (*.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 z z) #s(literal 2 binary64)))) (*.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) |
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 (/.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 z z) #s(literal 2 binary64)))) (*.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 z z) #s(literal 2 binary64)))) (*.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) |
(* t x) |
(*.f64 t x) |
(* -1 (* x (+ (* -2 (/ z x)) (* -1 t)))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal 2 binary64) t) x) |
(* -1 (* x (+ (* -2 (/ z x)) (* -1 t)))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal 2 binary64) t) x) |
(* -1 (* x (+ (* -2 (/ z x)) (* -1 t)))) |
(*.f64 (fma.f64 (/.f64 z x) #s(literal 2 binary64) t) x) |
| 10 686× | lower-fma.f32 |
| 10 684× | lower-fma.f64 |
| 6 372× | lower-*.f32 |
| 6 368× | lower-*.f64 |
| 3 342× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 119 |
| 0 | 31 | 119 |
| 1 | 128 | 119 |
| 2 | 988 | 119 |
| 0 | 8773 | 111 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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) |
(/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) |
#s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t)) |
(fma.f64 x t (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
| Outputs |
|---|
#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 (*.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) t)) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) t)) |
(*.f64 (*.f64 #s(literal -2 binary64) z) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 z #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) |
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 z) t)) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(*.f64 z (/.f64 #s(literal 2 binary64) t)) |
(*.f64 #s(literal 2 binary64) (/.f64 z t)) |
(pow.f64 (/.f64 t (*.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) z)) t) |
(/.f64 (*.f64 #s(literal -2 binary64) z) (neg.f64 t)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 z #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (*.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t #s(literal 1/2 binary64)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z #s(literal 2 binary64)))) |
(/.f64 #s(literal -2 binary64) (/.f64 (neg.f64 t) z)) |
(/.f64 (neg.f64 z) (*.f64 t #s(literal -1/2 binary64))) |
(/.f64 (*.f64 z #s(literal 2 binary64)) t) |
(/.f64 z (*.f64 t #s(literal 1/2 binary64))) |
(/.f64 #s(literal 2 binary64) (/.f64 t z)) |
(neg.f64 (*.f64 z (/.f64 #s(literal -2 binary64) t))) |
(neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) t) z)) |
(neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 z t))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (pow.f64 (/.f64 t z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t z) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) t)) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) z) |
(*.f64 #s(literal 1 binary64) (/.f64 z t)) |
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 z (pow.f64 t #s(literal -1 binary64))) |
(pow.f64 (/.f64 t z) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 t z)) |
(/.f64 (neg.f64 z) (neg.f64 t)) |
(/.f64 z t) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 t z))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) t))) |
(neg.f64 (/.f64 (neg.f64 z) t)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (neg.f64 z) t)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) t)) |
(exp.f64 (*.f64 (log.f64 (/.f64 t z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 t x (*.f64 #s(literal -2 binary64) z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (pow.f64 (/.f64 t (fma.f64 t x (*.f64 z #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (fma.f64 t x (*.f64 z #s(literal 2 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) t) (/.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 t (-.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 t x (*.f64 #s(literal -2 binary64) z)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 t (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64))) t) (pow.f64 (fma.f64 t x (*.f64 #s(literal -2 binary64) z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64))) t) (pow.f64 (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64)))) t)) |
(*.f64 (-.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 t x (*.f64 #s(literal -2 binary64) z)) t))) |
(*.f64 (-.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 t (fma.f64 t x (*.f64 #s(literal -2 binary64) z))))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (fma.f64 t x (*.f64 z #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) t)) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) t))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 t (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (/.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) t) (/.f64 (fma.f64 t x (*.f64 #s(literal -2 binary64) z)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z)))) |
(*.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) (pow.f64 t #s(literal -1 binary64))) |
(pow.f64 (/.f64 t (fma.f64 t x (*.f64 z #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64))) t)) (neg.f64 (fma.f64 t x (*.f64 #s(literal -2 binary64) z)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64))) t)) (neg.f64 (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64))) t) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))) |
(/.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64))) t) (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (fma.f64 t x (*.f64 #s(literal -2 binary64) z)) t))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (*.f64 t (fma.f64 t x (*.f64 #s(literal -2 binary64) z))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) t))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64)))) (neg.f64 (*.f64 t (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) (fma.f64 t x (*.f64 z #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 t (fma.f64 t x (*.f64 #s(literal -2 binary64) z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 t x (*.f64 #s(literal -2 binary64) z)) t)) |
(/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t x (*.f64 #s(literal -2 binary64) z)) (/.f64 (-.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64))) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64))) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 t x (*.f64 #s(literal -2 binary64) z)) t) (-.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) t) (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (fma.f64 t x (*.f64 #s(literal -2 binary64) z))) (-.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))) (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (fma.f64 t x (*.f64 z #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64))) (*.f64 t (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) t)) |
(/.f64 (neg.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64)))) (neg.f64 t)) |
(/.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) t) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 t (fma.f64 t x (*.f64 z #s(literal 2 binary64)))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64)))) t))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64)))) t)) |
(fma.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 t x) (pow.f64 t #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 t x) (pow.f64 t #s(literal -1 binary64)))) |
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) t) (*.f64 (*.f64 t x) (pow.f64 t #s(literal -1 binary64)))) |
(fma.f64 (*.f64 #s(literal -2 binary64) z) (/.f64 #s(literal -1 binary64) t) (*.f64 (*.f64 t x) (pow.f64 t #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 z #s(literal 1/2 binary64)) (*.f64 (*.f64 t x) (pow.f64 t #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 t x) (*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 z #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 t x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) t) z) (*.f64 (*.f64 t x) (pow.f64 t #s(literal -1 binary64)))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (neg.f64 z) t) (*.f64 (*.f64 t x) (pow.f64 t #s(literal -1 binary64)))) |
(fma.f64 (*.f64 t x) (pow.f64 t #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) |
(fma.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 t x) (pow.f64 t #s(literal -1 binary64)))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) (*.f64 (*.f64 t x) (pow.f64 t #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z (*.f64 (*.f64 t x) (pow.f64 t #s(literal -1 binary64)))) |
(fma.f64 z (/.f64 #s(literal 2 binary64) t) (*.f64 (*.f64 t x) (pow.f64 t #s(literal -1 binary64)))) |
(fma.f64 #s(literal 2 binary64) (/.f64 z t) (*.f64 (*.f64 t x) (pow.f64 t #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (*.f64 t (fma.f64 t x (*.f64 #s(literal -2 binary64) z)))) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 t (fma.f64 t x (*.f64 #s(literal -2 binary64) z))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (neg.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64)))) t)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))) t) (/.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))) t)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64)))) t)) |
(exp.f64 (*.f64 (log.f64 (/.f64 t (fma.f64 t x (*.f64 z #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 t x) (pow.f64 t #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) |
(+.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 t x)) (*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 z #s(literal 2 binary64)))) |
(+.f64 (*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 z #s(literal 2 binary64))) (*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 t x))) |
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) t) z) (*.f64 (*.f64 t x) (pow.f64 t #s(literal -1 binary64)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) t))) |
#s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) t)) |
(*.f64 (-.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t x (*.f64 #s(literal -2 binary64) z))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 t x (*.f64 #s(literal -2 binary64) z)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 t x (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) z) z (*.f64 (*.f64 t x) (fma.f64 t x (*.f64 #s(literal -2 binary64) z)))))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))) (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z)))) (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))))) (+.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))) (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))) (fma.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))) (*.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 t x (*.f64 #s(literal -2 binary64) z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64))))) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64))))) (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))) (*.f64 (fma.f64 t x (*.f64 #s(literal -2 binary64) z)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 t x (*.f64 #s(literal -2 binary64) z)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 t x (*.f64 #s(literal -2 binary64) z)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) z) z (*.f64 (*.f64 t x) (fma.f64 t x (*.f64 #s(literal -2 binary64) z)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (neg.f64 (fma.f64 t x (*.f64 #s(literal -2 binary64) z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (-.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 t x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) z) z (*.f64 (*.f64 t x) (fma.f64 t x (*.f64 #s(literal -2 binary64) z)))) (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) z) z (*.f64 (*.f64 t x) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64))) (fma.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)) (pow.f64 (*.f64 t x) #s(literal 2 binary64)))) |
(neg.f64 (neg.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (pow.f64 (fma.f64 t x (*.f64 #s(literal -2 binary64) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))))) |
(fma.f64 t x (*.f64 z #s(literal 2 binary64))) |
(fma.f64 z #s(literal 2 binary64) (*.f64 t x)) |
(fma.f64 #s(literal 2 binary64) z (*.f64 t x)) |
(fma.f64 x t (*.f64 z #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t))) (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (fma.f64 z #s(literal 2 binary64) (*.f64 (neg.f64 x) t)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))))) |
(+.f64 (neg.f64 (*.f64 (neg.f64 x) t)) (neg.f64 (*.f64 #s(literal -2 binary64) z))) |
(+.f64 (neg.f64 (*.f64 #s(literal -2 binary64) z)) (neg.f64 (*.f64 (neg.f64 x) t))) |
(+.f64 (/.f64 (pow.f64 (*.f64 t x) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 t x (*.f64 #s(literal -2 binary64) z))))) |
(+.f64 (*.f64 t x) (*.f64 z #s(literal 2 binary64))) |
(+.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 t x)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
Compiled 6 552 to 891 computations (86.4% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 436 | 2 | 438 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 1 | 2 | 3 |
| Total | 437 | 6 | 443 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.8% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
| ✓ | 59.8% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
| ▶ | 18.2% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y)) |
| ✓ | 45.0% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) |
| ▶ | 58.3% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) |
| ✓ | 11.3% | #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)))) |
Compiled 54 to 57 computations (-5.6% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y)) | |
| cost-diff | 128 | (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t) | |
| cost-diff | 0 | #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t)) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) |
| 1 416× | lower-fma.f32 |
| 1 414× | lower-fma.f64 |
| 1 142× | times-frac |
| 1 048× | lower-*.f32 |
| 1 038× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 185 |
| 0 | 43 | 185 |
| 1 | 79 | 185 |
| 2 | 134 | 185 |
| 3 | 257 | 185 |
| 4 | 451 | 185 |
| 5 | 767 | 185 |
| 6 | 1695 | 185 |
| 7 | 2545 | 185 |
| 8 | 2922 | 185 |
| 9 | 3051 | 185 |
| 10 | 3106 | 185 |
| 11 | 3119 | 185 |
| 12 | 3141 | 185 |
| 13 | 3181 | 185 |
| 14 | 3212 | 185 |
| 15 | 3216 | 185 |
| 16 | 3228 | 185 |
| 17 | 3255 | 185 |
| 18 | 3255 | 185 |
| 19 | 3295 | 185 |
| 20 | 3582 | 185 |
| 0 | 3582 | 172 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) |
#s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t)) |
(/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t) |
#s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) |
(*.f64 t x) |
t |
x |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y)) |
(*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y) |
(*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) |
z |
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(neg.f64 y) |
y |
t |
(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
(*.f64 z z) |
#s(literal 2 binary64) |
#s(literal -2 binary64) |
| Outputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) |
#s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t)) |
(/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t) |
#s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) |
(*.f64 t x) |
t |
x |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y)) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y) |
(*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (*.f64 z #s(literal 2 binary64))) |
(*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) z) |
(/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 z) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) |
z |
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) |
(neg.f64 y) |
y |
t |
(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
(*.f64 z z) |
#s(literal 2 binary64) |
#s(literal -2 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2539034976055602 | (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64))) | |
| accuracy | 4.993483957270227 | (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y) | |
| accuracy | 20.739060451062358 | (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) | |
| accuracy | 46.96903877966383 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y)) | |
| accuracy | 0 | #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t)) | |
| accuracy | 9.47129792358449 | (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t) | |
| accuracy | 25.72347839525051 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) | |
| accuracy | 31.2013351624934 | #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) |
| 51.0ms | 256× | 0 | valid |
Compiled 131 to 32 computations (75.6% saved)
ival-mult: 21.0ms (59.5% of total)ival-div: 6.0ms (17% of total)ival-sub: 3.0ms (8.5% of total)ival-add: 3.0ms (8.5% of total)ival-neg: 1.0ms (2.8% 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 #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t)) (patch #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t) (patch (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) (patch #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) (patch (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y) (patch (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (patch (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- x (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) #<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)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) 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 #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) 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 #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ z t)) (taylor 0 t) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t)) (patch #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2 z) (* t x)) t) (taylor 0 t) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t)) (patch #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2 z) (* t x)) t) (taylor 0 t) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t)) (patch #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2 z) (* t x)) t) (taylor 0 t) (#s(alt #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t)) (patch #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ z t)) (taylor 0 t) (#s(alt (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t) (patch (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2 z) (* t x)) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t) (patch (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2 z) (* t x)) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t) (patch (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 2 z) (* t x)) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t) (patch (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t) #<representation binary64>) () ())) ()) |
#s(alt (* 2 z) (taylor 0 t) (#s(alt #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) (patch #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 z) (* t x)) (taylor 0 t) (#s(alt #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) (patch #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 z) (* t x)) (taylor 0 t) (#s(alt #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) (patch #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 z) (* t x)) (taylor 0 t) (#s(alt #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) (patch #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 t) (#s(alt (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) (patch (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) (taylor 0 t) (#s(alt (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) (patch (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* t (+ (* -1/2 (/ y (pow z 3))) (* -1/4 (/ (* t (pow y 2)) (pow z 5))))) (/ 1 z)) (taylor 0 t) (#s(alt (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) (patch (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* t (+ (* -1/2 (/ y (pow z 3))) (* t (+ (* -1/4 (/ (pow y 2) (pow z 5))) (* -1/8 (/ (* t (pow y 3)) (pow z 7))))))) (/ 1 z)) (taylor 0 t) (#s(alt (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) (patch (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- x (/ y z)) (taylor 0 t) (#s(alt #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y)) #<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)))) (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y)) #<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)))) (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y)) #<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)))) (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y) (patch (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y) (patch (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5)))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y) (patch (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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)))))))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y) (patch (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 z) (taylor 0 t) (#s(alt (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (patch (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z))) (taylor 0 t) (#s(alt (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (patch (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (* 1/8 (/ (* t (pow y 2)) (pow z 5))) (* -1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z))) (taylor 0 t) (#s(alt (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (patch (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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))) (taylor 0 t) (#s(alt (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (patch (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (pow z 2)) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64))) (patch (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64))) #<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 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y)) (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | t | @ | inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ (+ (* x t) (* 2 z)) t) (+ (* x t) (* 2 z)) (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) y) (/ z (+ (* (neg y) t) (* (* z z) 2))) (+ (* (neg y) t) (* (* z z) 2))) |
| 2.0ms | z | @ | inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ (+ (* x t) (* 2 z)) t) (+ (* x t) (* 2 z)) (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) y) (/ z (+ (* (neg y) t) (* (* z z) 2))) (+ (* (neg y) t) (* (* z z) 2))) |
| 2.0ms | z | @ | -inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ (+ (* x t) (* 2 z)) t) (+ (* x t) (* 2 z)) (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) y) (/ z (+ (* (neg y) t) (* (* z z) 2))) (+ (* (neg y) t) (* (* z z) 2))) |
| 2.0ms | z | @ | 0 | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ (+ (* x t) (* 2 z)) t) (+ (* x t) (* 2 z)) (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) y) (/ z (+ (* (neg y) t) (* (* z z) 2))) (+ (* (neg y) t) (* (* z z) 2))) |
| 2.0ms | t | @ | -inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ (+ (* x t) (* 2 z)) t) (+ (* x t) (* 2 z)) (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) y) (/ z (+ (* (neg y) t) (* (* z z) 2))) (+ (* (neg y) t) (* (* z z) 2))) |
| 1× | egg-herbie |
| 8 128× | lower-fma.f64 |
| 8 128× | lower-fma.f32 |
| 5 916× | lower-*.f64 |
| 5 916× | lower-*.f32 |
| 2 482× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 667 | 5328 |
| 1 | 2047 | 5251 |
| 2 | 6139 | 5201 |
| 0 | 8344 | 4904 |
| 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)) |
(* 2 (/ z t)) |
(/ (+ (* 2 z) (* t x)) t) |
(/ (+ (* 2 z) (* t x)) t) |
(/ (+ (* 2 z) (* t x)) t) |
(* 2 (/ z t)) |
(/ (+ (* 2 z) (* t x)) t) |
(/ (+ (* 2 z) (* t x)) t) |
(/ (+ (* 2 z) (* t x)) t) |
(* 2 z) |
(+ (* 2 z) (* t x)) |
(+ (* 2 z) (* t x)) |
(+ (* 2 z) (* t x)) |
(/ -1 z) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
(- (* t (+ (* -1/2 (/ y (pow z 3))) (* -1/4 (/ (* t (pow y 2)) (pow z 5))))) (/ 1 z)) |
(- (* t (+ (* -1/2 (/ y (pow z 3))) (* t (+ (* -1/4 (/ (pow y 2) (pow z 5))) (* -1/8 (/ (* t (pow y 3)) (pow z 7))))))) (/ 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)))))))) |
(/ 1/2 z) |
(+ (* 1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z))) |
(+ (* t (- (* 1/8 (/ (* t (pow y 2)) (pow z 5))) (* -1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 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))) |
(* 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)))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(* t x) |
(* t (+ x (* 2 (/ z t)))) |
(* t (+ x (* 2 (/ z t)))) |
(* t (+ x (* 2 (/ z t)))) |
(* 2 (/ z (* t y))) |
(/ (+ (* 2 (/ z y)) (* 4 (/ (pow z 3) (* t (pow y 2))))) t) |
(/ (+ (* 2 (/ z y)) (+ (* 4 (/ (pow z 3) (* t (pow y 2)))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 3)))))) t) |
(/ (+ (* 2 (/ z y)) (+ (* 4 (/ (pow z 3) (* t (pow y 2)))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 4))))))) 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)))) |
(* 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) |
(* -1 (/ z (* t y))) |
(/ (+ (* -2 (/ (pow z 3) (* t (pow y 2)))) (* -1 (/ z y))) t) |
(/ (- (+ (* -4 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (* -1 (/ z y))) (* 2 (/ (pow z 3) (* t (pow y 2))))) t) |
(/ (- (+ (* -8 (/ (pow z 7) (* (pow t 3) (pow y 4)))) (* -1 (/ z y))) (+ (* 2 (/ (pow z 3) (* t (pow y 2)))) (* 4 (/ (pow z 5) (* (pow t 2) (pow y 3)))))) t) |
(* -1 (* t y)) |
(* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))) |
(* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))) |
(* t (+ (* -1 y) (* 2 (/ (pow z 2) 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))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(* t x) |
(* -1 (* t (+ (* -2 (/ z t)) (* -1 x)))) |
(* -1 (* t (+ (* -2 (/ z t)) (* -1 x)))) |
(* -1 (* t (+ (* -2 (/ z t)) (* -1 x)))) |
(* 2 (/ z (* t y))) |
(* -1 (/ (+ (* -4 (/ (pow z 3) (* t (pow y 2)))) (* -2 (/ z y))) t)) |
(* -1 (/ (+ (* -2 (/ z y)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow y 2))) (* 8 (/ (pow z 5) (* t (pow y 3))))) t))) t)) |
(* -1 (/ (+ (* -2 (/ z y)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* t (pow y 4)))) (* -8 (/ (pow z 5) (pow y 3)))) t)) (* 4 (/ (pow z 3) (pow y 2)))) 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))) |
(* 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)) |
(* -1 (/ z (* t y))) |
(* -1 (/ (+ (* 2 (/ (pow z 3) (* t (pow y 2)))) (/ z y)) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -4 (/ (pow z 5) (* t (pow y 3)))) (* 2 (/ (pow z 3) (pow y 2)))) t)) (/ z y)) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 7) (* t (pow y 4)))) (* -4 (/ (pow z 5) (pow y 3)))) t)) (* 2 (/ (pow z 3) (pow y 2)))) t)) (/ z y)) t)) |
(* -1 (* t y)) |
(* -1 (* t (+ y (* -2 (/ (pow z 2) t))))) |
(* -1 (* t (+ y (* -2 (/ (pow z 2) t))))) |
(* -1 (* t (+ y (* -2 (/ (pow z 2) 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))) |
x |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(* t x) |
(+ (* 2 z) (* t x)) |
(+ (* 2 z) (* t x)) |
(+ (* 2 z) (* t x)) |
(* 2 (/ z (* t y))) |
(* z (+ (* 4 (/ (pow z 2) (* (pow t 2) (pow y 2)))) (* 2 (/ 1 (* t y))))) |
(* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 3)))) (* 4 (/ 1 (* (pow t 2) (pow y 2)))))) (* 2 (/ 1 (* t y))))) |
(* z (+ (* (pow z 2) (+ (* (pow z 2) (+ (* 16 (/ (pow z 2) (* (pow t 4) (pow y 4)))) (* 8 (/ 1 (* (pow t 3) (pow y 3)))))) (* 4 (/ 1 (* (pow t 2) (pow y 2)))))) (* 2 (/ 1 (* t 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)))) |
(* -1 (/ z (* t y))) |
(* z (- (* -2 (/ (pow z 2) (* (pow t 2) (pow y 2)))) (/ 1 (* t y)))) |
(* z (- (* (pow z 2) (- (* -4 (/ (pow z 2) (* (pow t 3) (pow y 3)))) (* 2 (/ 1 (* (pow t 2) (pow y 2)))))) (/ 1 (* t y)))) |
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 4) (pow y 4)))) (* 4 (/ 1 (* (pow t 3) (pow y 3)))))) (* 2 (/ 1 (* (pow t 2) (pow y 2)))))) (/ 1 (* t y)))) |
(* -1 (* t y)) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(+ (* -1 (* t 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)) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(* 2 z) |
(* z (+ 2 (/ (* t x) z))) |
(* z (+ 2 (/ (* t x) z))) |
(* z (+ 2 (/ (* t x) z))) |
(/ -1 z) |
(/ (- (* -1/2 (/ (* t y) (pow z 2))) 1) z) |
(/ (- (* -1/4 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (+ 1 (* 1/2 (/ (* t y) (pow z 2))))) z) |
(/ (- (* -1/8 (/ (* (pow t 3) (pow y 3)) (pow z 6))) (+ 1 (+ (* 1/4 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (* 1/2 (/ (* t y) (pow z 2)))))) 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) |
(/ 1/2 z) |
(/ (+ 1/2 (* 1/4 (/ (* t y) (pow z 2)))) z) |
(/ (- (+ 1/2 (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4)))) (* -1/4 (/ (* t y) (pow z 2)))) z) |
(/ (- (+ 1/2 (* 1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6)))) (+ (* -1/4 (/ (* t y) (pow z 2))) (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))))) 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))) |
(* 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)) |
(* -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) |
(* -1 (* z (- (* -1 (/ (* t x) z)) 2))) |
(* -1 (* z (- (* -1 (/ (* t x) z)) 2))) |
(* -1 (* z (- (* -1 (/ (* t x) z)) 2))) |
(/ -1 z) |
(* -1 (/ (+ 1 (* 1/2 (/ (* t y) (pow z 2)))) z)) |
(* -1 (/ (- (+ 1 (* 1/4 (/ (* (pow t 2) (pow y 2)) (pow z 4)))) (* -1/2 (/ (* t y) (pow z 2)))) z)) |
(* -1 (/ (- (+ 1 (* 1/8 (/ (* (pow t 3) (pow y 3)) (pow z 6)))) (+ (* -1/2 (/ (* t y) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 2)) (pow z 4))))) 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)) |
(/ 1/2 z) |
(* -1 (/ (- (* -1/4 (/ (* t y) (pow z 2))) 1/2) z)) |
(* -1 (/ (- (* -1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (+ 1/2 (* 1/4 (/ (* t y) (pow z 2))))) z)) |
(* -1 (/ (- (* -1/16 (/ (* (pow t 3) (pow y 3)) (pow z 6))) (+ 1/2 (+ (* 1/8 (/ (* (pow t 2) (pow y 2)) (pow z 4))) (* 1/4 (/ (* t y) (pow z 2)))))) 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)))) |
(/ -1 z) |
(- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)) |
(- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z)) |
(- (* 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)) |
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))) |
(/ 1/2 z) |
(+ (* 1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z))) |
(+ (* y (- (* 1/8 (/ (* (pow t 2) y) (pow z 5))) (* -1/4 (/ t (pow z 3))))) (* 1/2 (/ 1 z))) |
(+ (* y (- (* y (- (* 1/16 (/ (* (pow t 3) y) (pow z 7))) (* -1/8 (/ (pow t 2) (pow z 5))))) (* -1/4 (/ t (pow z 3))))) (* 1/2 (/ 1 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 (* -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 y))) |
(/ (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y)))) y) |
(/ (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))))) y) |
(/ (+ (* 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))))))) 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))))) |
(* 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 (/ z (* t y))) |
(/ (+ (* -2 (/ (pow z 3) (* (pow t 2) y))) (* -1 (/ z t))) y) |
(/ (- (+ (* -4 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* -1 (/ z t))) (* 2 (/ (pow z 3) (* (pow t 2) y)))) y) |
(/ (- (+ (* -8 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (* -1 (/ z t))) (+ (* 2 (/ (pow z 3) (* (pow t 2) y))) (* 4 (/ (pow z 5) (* (pow t 3) (pow y 2)))))) y) |
(* -1 (* t y)) |
(* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))) |
(* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))) |
(* y (+ (* -1 t) (* 2 (/ (pow z 2) 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))) |
(* 2 (/ z (* t y))) |
(* -1 (/ (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) y)) |
(* -1 (/ (+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y))) y)) |
(* -1 (/ (+ (* -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))) 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))) |
(* 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 (/ z (* t y))) |
(* -1 (/ (+ (* 2 (/ (pow z 3) (* (pow t 2) y))) (/ z t)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -4 (/ (pow z 5) (* (pow t 3) y))) (* 2 (/ (pow z 3) (pow t 2)))) y)) (/ z t)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 7) (* (pow t 4) y))) (* -4 (/ (pow z 5) (pow t 3)))) y)) (* 2 (/ (pow z 3) (pow t 2)))) y)) (/ z t)) y)) |
(* -1 (* t y)) |
(* -1 (* y (+ t (* -2 (/ (pow z 2) y))))) |
(* -1 (* y (+ t (* -2 (/ (pow z 2) y))))) |
(* -1 (* y (+ t (* -2 (/ (pow z 2) 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 (/ z t)) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(+ x (* 2 (/ z t))) |
(* 2 z) |
(+ (* 2 z) (* t x)) |
(+ (* 2 z) (* t x)) |
(+ (* 2 z) (* t 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 (* 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 |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
x |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* t x) |
(* x (+ t (* 2 (/ z x)))) |
(* x (+ t (* 2 (/ z x)))) |
(* x (+ t (* 2 (/ 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 |
(* -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 (/ z (* t x))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(* t x) |
(* -1 (* x (+ (* -2 (/ z x)) (* -1 t)))) |
(* -1 (* x (+ (* -2 (/ z x)) (* -1 t)))) |
(* -1 (* x (+ (* -2 (/ z x)) (* -1 t)))) |
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 t #s(literal -1/2 binary64)) (*.f64 y (/.f64 y (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 #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 (/ 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 z) |
(*.f64 #s(literal 2 binary64) z) |
(+ (* 2 z) (* t x)) |
(fma.f64 #s(literal 2 binary64) z (*.f64 t x)) |
(+ (* 2 z) (* t x)) |
(fma.f64 #s(literal 2 binary64) z (*.f64 t x)) |
(+ (* 2 z) (* t x)) |
(fma.f64 #s(literal 2 binary64) z (*.f64 t x)) |
(/ -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)) |
(- (* t (+ (* -1/2 (/ y (pow z 3))) (* -1/4 (/ (* t (pow y 2)) (pow z 5))))) (/ 1 z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) t) (*.f64 y (/.f64 y (pow.f64 z #s(literal 5 binary64)))) (*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) t (/.f64 #s(literal -1 binary64) z)) |
(- (* t (+ (* -1/2 (/ y (pow z 3))) (* t (+ (* -1/4 (/ (pow y 2) (pow z 5))) (* -1/8 (/ (* t (pow y 3)) (pow z 7))))))) (/ 1 z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (pow.f64 z #s(literal 5 binary64)))) t (*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) t (/.f64 #s(literal -1 binary64) z)) |
(- x (/ y z)) |
(-.f64 x (/.f64 y z)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(fma.f64 (*.f64 t #s(literal -1/2 binary64)) (*.f64 y (/.f64 y (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 #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 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y y) t) z) y) (neg.f64 z)) |
(+ (* -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 #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 (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 #s(literal 1/8 binary64) t) (*.f64 y (/.f64 y (pow.f64 z #s(literal 5 binary64)))) (*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) #s(literal 1/4 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)) |
(* 2 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(-.f64 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 (* 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) (pow.f64 t #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) y) y) (-.f64 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 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(* t x) |
(*.f64 t x) |
(* t (+ x (* 2 (/ z t)))) |
(*.f64 (fma.f64 (/.f64 z t) #s(literal 2 binary64) x) t) |
(* t (+ x (* 2 (/ z t)))) |
(*.f64 (fma.f64 (/.f64 z t) #s(literal 2 binary64) x) t) |
(* t (+ x (* 2 (/ z t)))) |
(*.f64 (fma.f64 (/.f64 z t) #s(literal 2 binary64) x) t) |
(* 2 (/ z (* t y))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) y) z) |
(/ (+ (* 2 (/ z y)) (* 4 (/ (pow z 3) (* t (pow y 2))))) t) |
(/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) t) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) (*.f64 (/.f64 z y) #s(literal 2 binary64))) t) |
(/ (+ (* 2 (/ z y)) (+ (* 4 (/ (pow z 3) (* t (pow y 2)))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 3)))))) t) |
(/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) t) t) (fma.f64 (/.f64 #s(literal 4 binary64) t) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) (*.f64 (/.f64 z y) #s(literal 2 binary64)))) t) |
(/ (+ (* 2 (/ z y)) (+ (* 4 (/ (pow z 3) (* t (pow y 2)))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 4))))))) t) |
(/.f64 (fma.f64 (/.f64 z y) #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 4 binary64) t) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) y) (fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) t) t) (/.f64 (*.f64 #s(literal 16 binary64) (pow.f64 z #s(literal 7 binary64))) (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))))))) t) |
x |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(-.f64 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 (* 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) (pow.f64 t #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 z #s(literal 5 binary64)) y) y) (-.f64 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 (/.f64 z t) #s(literal 2 binary64)) |
(/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) 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) (+ (* 4 (/ (pow z 3) (* t y))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))))) t) |
(/.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) (+ (* 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) |
(/.f64 (fma.f64 #s(literal 2 binary64) z (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))) (/.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) |
(* -1 (/ z (* t y))) |
(/.f64 (neg.f64 z) (*.f64 t y)) |
(/ (+ (* -2 (/ (pow z 3) (* t (pow y 2)))) (* -1 (/ z y))) t) |
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(/ (- (+ (* -4 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (* -1 (/ z y))) (* 2 (/ (pow z 3) (* t (pow y 2))))) t) |
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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) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (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)) (neg.f64 x)) |
| 8 534× | lower-fma.f32 |
| 8 532× | lower-fma.f64 |
| 5 038× | lower-*.f32 |
| 5 028× | lower-*.f64 |
| 3 870× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 165 |
| 0 | 43 | 165 |
| 1 | 174 | 165 |
| 2 | 1219 | 165 |
| 0 | 8467 | 152 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) |
#s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t)) |
(/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t) |
#s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) |
(*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y)) |
(*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y) |
(/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) |
#s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t)) |
(*.f64 (pow.f64 (/.f64 t #s(approx (+ (* x t) (* 2 z)) (*.f64 t x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t #s(approx (+ (* x t) (* 2 z)) (*.f64 t x))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 t #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) (neg.f64 t))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) #s(approx (+ (* x t) (* 2 z)) (*.f64 t x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t)) |
(*.f64 (neg.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x))) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) (pow.f64 t #s(literal -1 binary64))) |
(pow.f64 (/.f64 t #s(approx (+ (* x t) (* 2 z)) (*.f64 t x))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t #s(approx (+ (* x t) (* 2 z)) (*.f64 t x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 t #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)))) |
(/.f64 (neg.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x))) (neg.f64 t)) |
(/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t) |
(neg.f64 (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) (neg.f64 t))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) (neg.f64 t))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) (neg.f64 t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 t #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)))) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (* x t) (* 2 z)) (*.f64 t x))) |
(*.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) #s(literal 1 binary64)) |
#s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) |
(neg.f64 (neg.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) (/.f64 z (pow.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (-.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)))) (/.f64 z (pow.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal -2 binary64) z) z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (/.f64 z (pow.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (/.f64 z (pow.f64 (fma.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64)) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) z) (-.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 t y))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) z) (-.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)))) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal -2 binary64) z) z))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) z) (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 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) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y))))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) z) (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64)) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 z (-.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 -2 binary64) (pow.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 z (-.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal -2 binary64) (pow.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal -2 binary64) z) z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 z (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) (pow.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 z (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64)) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal -2 binary64) z) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)))) |
(*.f64 #s(literal 1 binary64) (*.f64 z (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))))) |
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 z) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)))) |
(*.f64 (/.f64 (neg.f64 z) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal -2 binary64)) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) #s(literal -1 binary64))) |
(*.f64 z (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)))) |
(*.f64 z (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal -2 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 z (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)))) |
(pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) (*.f64 z #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) z) (neg.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) (*.f64 z #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) (*.f64 z #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) (neg.f64 z)) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) (*.f64 z #s(literal 2 binary64)))) |
(/.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) (neg.f64 z))) |
(/.f64 (*.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) |
(/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) (pow.f64 z #s(literal -1 binary64)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (/.f64 z (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) (*.f64 #s(literal 2 binary64) y))) |
(*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z y) #s(literal -2 binary64)) (-.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64))))) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y))) |
(*.f64 (neg.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (-.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64))))) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal -2 binary64) z) z))) |
(*.f64 (neg.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 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) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y))))) |
(*.f64 (neg.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 t y) #s(literal 3 binary64))))) (fma.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64)) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) (/.f64 z (pow.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)))) (/.f64 z (pow.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal -2 binary64) z) z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (/.f64 z (pow.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (/.f64 z (pow.f64 (fma.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64)) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 z) (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 z) (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 z) (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64)) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) (/.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) (-.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal -2 binary64) z) z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (/.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 y) (fma.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (/.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64)) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 z y) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))))) |
(*.f64 (/.f64 (*.f64 y z) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))))) |
(*.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 y (neg.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) z) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) (/.f64 (neg.f64 z) (pow.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (-.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)))) (/.f64 (neg.f64 z) (pow.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal -2 binary64) z) z)) #s(literal -1 binary64)))) |
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(fma.f64 #s(literal -1 binary64) (*.f64 t y) (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y))))) |
(fma.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (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) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y))))))) |
(fma.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal -2 binary64) z) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal -2 binary64) z) z))))) |
(fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 y) t)) |
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(fma.f64 (*.f64 z #s(literal 2 binary64)) z (*.f64 (neg.f64 y) t)) |
(fma.f64 t (neg.f64 y) (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (*.f64 (neg.f64 y) t)) |
(fma.f64 #s(literal 2 binary64) (*.f64 z z) (*.f64 (neg.f64 y) t)) |
(fma.f64 y (neg.f64 t) (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64)) (fma.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64)) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64)) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)) (pow.f64 (*.f64 t y) #s(literal 2 binary64))))) |
(-.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 t y))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal -2 binary64) z) z))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal -2 binary64) z) z))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y))))) #s(literal 1 binary64)) (/.f64 (/.f64 (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) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 t y) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y))) (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal -2 binary64) z) z))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal -2 binary64) z) z)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y))))) (/.f64 (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) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y)))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) |
(-.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64)) (*.f64 t y)) |
(+.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y))) (neg.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal -2 binary64) z) z))) (neg.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 #s(literal -2 binary64) z) z))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y))))) (neg.f64 (/.f64 (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) (fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 t y))))))) |
(+.f64 (*.f64 (neg.f64 y) t) (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(+.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64)) (*.f64 (neg.f64 y) t)) |
Compiled 12 683 to 1 771 computations (86% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 564 | 2 | 566 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 4 | 4 |
| Total | 565 | 7 | 572 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.8% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
| ✓ | 59.8% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
| 8.8% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 #s(approx (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) y) z)) y)) | |
| ✓ | 45.0% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) |
| ✓ | 58.3% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) |
| ✓ | 11.3% | #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)))) |
| 18.5% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) y) (/.f64 (neg.f64 y) z))) |
Compiled 180 to 124 computations (31.1% saved)
| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) 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 z t) #s(literal 2 binary64)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) |
#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 #s(literal -2 binary64) (/.f64 z t)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 #s(approx (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) y) z)) y)) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y)) |
(fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) |
(-.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)))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
6 calls:
| 35.0ms | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| 4.0ms | z |
| 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 | y |
| 4.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.2% | 1 | x |
| 90.2% | 1 | y |
| 97.3% | 3 | z |
| 90.2% | 1 | t |
| 96.9% | 2 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 97.3% | 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 (* (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) 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 z t) #s(literal 2 binary64)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) |
#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 #s(literal -2 binary64) (/.f64 z t)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 #s(approx (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) y) z)) y)) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) y)) |
(fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) |
| Outputs |
|---|
(fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
2 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 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 2 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 96.4% | 2 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
Compiled 32 to 25 computations (21.9% saved)
| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) 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 z t) #s(literal 2 binary64)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) |
#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 #s(literal -2 binary64) (/.f64 z t)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (fma.f64 x t (*.f64 #s(literal 2 binary64) z)) t))) |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 #s(approx (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) t) y) z)) y)) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -2 binary64)) 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 #s(literal 2 binary64) t) z x)) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
6 calls:
| 10.0ms | (-.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 |
| 4.0ms | y |
| 4.0ms | t |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.4% | 4 | t |
| 76.4% | 3 | y |
| 71.4% | 2 | x |
| 93.3% | 3 | z |
| 79.7% | 5 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 72.1% | 3 | (/.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 (* (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) 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 z t) #s(literal 2 binary64)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) |
| 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)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
1 calls:
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.5% | 3 | z |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) 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 z t) #s(literal 2 binary64)))) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
6 calls:
| 26.0ms | y |
| 2.0ms | t |
| 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 | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.8% | 1 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| 68.8% | 1 | x |
| 68.8% | 1 | y |
| 68.8% | 1 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 68.8% | 1 | t |
| 68.8% | 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 (* (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) y) (/.f64 (neg.f64 y) z))) |
| Outputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) 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 | y |
| 1.0ms | t |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.5% | 1 | x |
| 18.5% | 1 | y |
| 18.5% | 1 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 18.5% | 1 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| 18.5% | 1 | z |
| 18.5% | 1 | t |
Compiled 36 to 41 computations (-13.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.5906951619640597e+177 | 4.249766983028077e+212 |
Compiled 20 to 20 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.5906951619640597e+177 | 4.249766983028077e+212 |
Compiled 20 to 20 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.5087543767560154e-21 | 1.128584034893688e-20 |
| 31.0ms | -1.723983676259086e-35 | -2.7712091227479826e-44 |
| 33.0ms | 240× | 0 | valid |
Compiled 215 to 275 computations (-27.9% saved)
ival-div: 17.0ms (61.8% of total)ival-mult: 8.0ms (29.1% of total)ival-sub: 2.0ms (7.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 9.181353167709667e-75 | 1.684010643761333e-69 |
| 10.0ms | -5.81487561871212e-57 | -1.9906669615329683e-57 |
| 16.0ms | 224× | 0 | valid |
Compiled 216 to 272 computations (-25.9% saved)
ival-mult: 6.0ms (60.1% of total)ival-sub: 2.0ms (20% of total)ival-div: 1.0ms (10% 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 |
| 288× | unsub-neg-binary64--.f64-neg.f64-+.f64 |
| 238× | distribute-lft-neg-in-binary64-*.f64-neg.f64 |
| 206× | neg-mul-1-binary64-*.f64-neg.f64 |
| 110× | neg-sub0-binary64--.f64-neg.f64 |
| 98× | distribute-rgt-neg-in-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 334 |
| 1 | 94 | 334 |
| 2 | 119 | 334 |
| 3 | 144 | 334 |
| 4 | 189 | 334 |
| 5 | 238 | 334 |
| 6 | 294 | 334 |
| 7 | 432 | 334 |
| 8 | 643 | 334 |
| 9 | 779 | 334 |
| 10 | 836 | 334 |
| 11 | 889 | 334 |
| 12 | 909 | 334 |
| 13 | 932 | 334 |
| 14 | 940 | 334 |
| 15 | 942 | 334 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #s(literal 5000000000000000262190592237531418597736900077214862305283068621659030917376859431910478415443928807994362318208466088914672700840093622075866148980296178635908453530060388827136 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 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #s(literal 5000000000000000262190592237531418597736900077214862305283068621659030917376859431910478415443928807994362318208466088914672700840093622075866148980296178635908453530060388827136 binary64)) (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))) |
(if (<=.f64 z #s(literal -3591786423904427/748288838313422294120286634350736906063837462003712 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 6911985578081563/2658455991569831745807614120560689152 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))))) |
(if (<=.f64 z #s(literal -8480865910936245/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 3263683738939225/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) (-.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 (* (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) y) (/.f64 (neg.f64 y) z))) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #s(literal 5000000000000000262190592237531418597736900077214862305283068621659030917376859431910478415443928807994362318208466088914672700840093622075866148980296178635908453530060388827136 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 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 t y))) #s(literal 5000000000000000262190592237531418597736900077214862305283068621659030917376859431910478415443928807994362318208466088914672700840093622075866148980296178635908453530060388827136 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 (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #s(literal 5000000000000000262190592237531418597736900077214862305283068621659030917376859431910478415443928807994362318208466088914672700840093622075866148980296178635908453530060388827136 binary64)) (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))) |
(if (<=.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 t y))) #s(literal 5000000000000000262190592237531418597736900077214862305283068621659030917376859431910478415443928807994362318208466088914672700840093622075866148980296178635908453530060388827136 binary64)) (fma.f64 z (/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) x) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))) |
(if (<=.f64 z #s(literal -3591786423904427/748288838313422294120286634350736906063837462003712 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 6911985578081563/2658455991569831745807614120560689152 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))))) |
(if (<=.f64 z #s(literal -8480865910936245/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 3263683738939225/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 t x)) t))) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))) |
(if (<=.f64 z #s(literal -8480865910936245/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 3263683738939225/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 #s(approx (+ (* x t) (* 2 z)) (*.f64 x t)) t))) (-.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 (* (* (/ z (+ (* (neg y) t) (* (* z z) 2))) -2) y) (/.f64 (neg.f64 y) z))) |
| 10 952× | lower-fma.f64 |
| 10 952× | lower-fma.f32 |
| 9 490× | lower-fma.f64 |
| 9 490× | lower-fma.f32 |
| 8 416× | lower-fma.f64 |
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 |
| 0 | 574 | 8900 |
| 1 | 1726 | 8813 |
| 2 | 5036 | 8705 |
| 0 | 8196 | 8179 |
| 0 | 347 | 2160 |
| 1 | 1030 | 2124 |
| 2 | 3147 | 2097 |
| 0 | 8645 | 1977 |
| 0 | 667 | 5328 |
| 1 | 2047 | 5251 |
| 2 | 6139 | 5201 |
| 0 | 8344 | 4904 |
| 0 | 235 | 2934 |
| 1 | 714 | 2906 |
| 2 | 2126 | 2859 |
| 3 | 7112 | 2859 |
| 0 | 8031 | 2666 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 208 to 134 computations (35.6% saved)
Compiled 356 to 150 computations (57.9% saved)
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