
Time bar (total: 10.6s)
| 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 |
| 25% | 25% | 74.9% | 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 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 7 |
| 56.3% | 56.1% | 43.7% | 0.2% | 0% | 0% | 0% | 8 |
| 56.3% | 56.1% | 43.7% | 0.2% | 0% | 0% | 0% | 9 |
| 56.3% | 56.1% | 43.7% | 0.2% | 0% | 0% | 0% | 10 |
| 65.6% | 65.5% | 34.3% | 0.2% | 0% | 0% | 0% | 11 |
| 76.6% | 76.4% | 23.4% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 17 to 13 computations (23.5% saved)
| 705.0ms | 8 256× | 0 | valid |
ival-mult: 220.0ms (45.6% of total)ival-div: 129.0ms (26.7% of total)ival-sub: 86.0ms (17.8% of total)ival-add: 35.0ms (7.3% of total)ival-true: 5.0ms (1% of total)exact: 5.0ms (1% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 20 | 0 | - | 2 | (1.2838760773081389e-176 -2.764591830860361e-39 -8.015328458123771e-274 -3.6448933004042684e-160) | (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) |
| 2 | 0 | - | 0 | - | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 0 | 0 | - | 0 | - | (/.f64 y (*.f64 z #s(literal 3 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 z #s(literal 3 binary64)) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) | n/u | 10 | 0 |
| ↳ | (*.f64 (*.f64 z #s(literal 3 binary64)) y) | underflow | 37 | |
+.f64 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) | nan-rescue | 2 | 0 |
| ↳ | (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) | overflow | 36 | |
| ↳ | (/.f64 y (*.f64 z #s(literal 3 binary64))) | overflow | 36 | |
| ↳ | (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) | overflow | 47 | |
| ↳ | (*.f64 (*.f64 z #s(literal 3 binary64)) y) | overflow | 22 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 12 | 0 |
| - | 0 | 244 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 12 | 0 | 0 |
| - | 0 | 0 | 244 |
| number | freq |
|---|---|
| 0 | 244 |
| 1 | 12 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 41.0ms | 512× | 0 | valid |
Compiled 117 to 37 computations (68.4% saved)
ival-div: 8.0ms (39.9% of total)ival-mult: 7.0ms (34.9% of total)ival-sub: 2.0ms (10% of total)ival-add: 2.0ms (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 |
| 2 112× | lower-fma.f64 |
| 2 112× | lower-fma.f32 |
| 1 152× | lower-*.f32 |
| 1 148× | lower-*.f64 |
| 1 100× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 222 |
| 1 | 209 | 210 |
| 2 | 609 | 210 |
| 3 | 1702 | 174 |
| 4 | 4679 | 168 |
| 5 | 7740 | 168 |
| 0 | 11 | 15 |
| 0 | 17 | 15 |
| 1 | 30 | 15 |
| 2 | 69 | 15 |
| 3 | 139 | 15 |
| 4 | 327 | 15 |
| 5 | 736 | 13 |
| 6 | 2052 | 11 |
| 7 | 2750 | 11 |
| 8 | 3078 | 11 |
| 9 | 3329 | 11 |
| 10 | 3509 | 11 |
| 11 | 3525 | 11 |
| 12 | 3586 | 11 |
| 13 | 3702 | 11 |
| 14 | 3752 | 11 |
| 15 | 3764 | 11 |
| 16 | 3764 | 11 |
| 17 | 3764 | 11 |
| 18 | 3764 | 11 |
| 0 | 3764 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| Outputs |
|---|
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
Compiled 19 to 11 computations (42.1% saved)
Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.3% | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
Compiled 19 to 11 computations (42.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 y (*.f64 z #s(literal 3 binary64))) | |
| cost-diff | 128 | (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) | |
| cost-diff | 640 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 2 112× | lower-fma.f64 |
| 2 112× | lower-fma.f32 |
| 1 152× | lower-*.f32 |
| 1 148× | lower-*.f64 |
| 722× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 47 |
| 0 | 17 | 47 |
| 1 | 30 | 47 |
| 2 | 69 | 47 |
| 3 | 139 | 47 |
| 4 | 327 | 47 |
| 5 | 736 | 45 |
| 6 | 2052 | 43 |
| 7 | 2750 | 43 |
| 8 | 3078 | 43 |
| 9 | 3329 | 43 |
| 10 | 3509 | 43 |
| 11 | 3525 | 43 |
| 12 | 3586 | 43 |
| 13 | 3702 | 43 |
| 14 | 3752 | 43 |
| 15 | 3764 | 43 |
| 16 | 3764 | 43 |
| 17 | 3764 | 43 |
| 18 | 3764 | 43 |
| 0 | 3764 | 41 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
x |
(/.f64 y (*.f64 z #s(literal 3 binary64))) |
y |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) |
t |
(*.f64 (*.f64 z #s(literal 3 binary64)) y) |
| Outputs |
|---|
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(/.f64 y (*.f64 z #s(literal 3 binary64))) |
y |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) |
(/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) |
t |
(*.f64 (*.f64 z #s(literal 3 binary64)) y) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.16015625 | (*.f64 (*.f64 z #s(literal 3 binary64)) y) | |
| accuracy | 0.20703125 | (/.f64 y (*.f64 z #s(literal 3 binary64))) | |
| accuracy | 0.45312293583020585 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) | |
| accuracy | 4.440156224813353 | (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) |
| 39.0ms | 256× | 0 | valid |
Compiled 49 to 13 computations (73.5% saved)
ival-mult: 24.0ms (79.3% of total)ival-div: 3.0ms (9.9% of total)ival-sub: 1.0ms (3.3% of total)ival-add: 1.0ms (3.3% 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 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (/ t z)) (* x y)) y) (taylor 0 y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) (taylor 0 y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) (taylor 0 y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ y z)) (taylor inf y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ y z)) (taylor -inf y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) (taylor 0 z) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) (taylor 0 z) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (/ y z)) (taylor inf z) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ y z)) (taylor inf z) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ y z)) (taylor inf z) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ y z)) (taylor -inf z) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ y z)) (taylor -inf z) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ y z)) (taylor -inf z) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ y z)) (taylor -inf z) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 3 z) (taylor inf z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor inf z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (/ t (* y z))) (taylor -inf t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor inf z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor inf z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor inf z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor inf z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor -inf z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor -inf z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor -inf z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor -inf z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor 0 y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor 0 y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor 0 y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor 0 y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor -inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor -inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor -inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor -inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | y | @ | inf | (/ t (* (* z 3) y)) |
| 13.0ms | z | @ | inf | (* (* z 3) y) |
| 2.0ms | z | @ | inf | (* z 3) |
| 1.0ms | z | @ | 0 | (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) |
| 1.0ms | x | @ | 0 | (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) |
| 1× | egg-herbie |
| 10 462× | lower-fma.f64 |
| 10 462× | lower-fma.f32 |
| 3 274× | lower-*.f64 |
| 3 274× | lower-*.f32 |
| 2 252× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 1412 |
| 1 | 307 | 1322 |
| 2 | 875 | 1322 |
| 3 | 2795 | 1262 |
| 4 | 6348 | 1262 |
| 0 | 8216 | 1196 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1/3 (/ y z)) |
(- x (* 1/3 (/ y z))) |
(- x (* 1/3 (/ y z))) |
(- x (* 1/3 (/ y z))) |
x |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1/3 (/ y z)) |
(/ (- (* x z) (* 1/3 y)) z) |
(/ (- (* x z) (* 1/3 y)) z) |
(/ (- (* x z) (* 1/3 y)) z) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
| Outputs |
|---|
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t z) (*.f64 y x)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 (*.f64 #s(literal 1/3 binary64) t) z)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 (*.f64 #s(literal 1/3 binary64) t) z)) y) |
(* -1/3 (/ y z)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* -1/3 (/ y z)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
x |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(- x (* 1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (/.f64 (fma.f64 y #s(literal -1/3 binary64) (*.f64 z x)) (*.f64 t z)))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (/.f64 (fma.f64 y #s(literal -1/3 binary64) (*.f64 z x)) (*.f64 t z)))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (/.f64 (fma.f64 y #s(literal -1/3 binary64) (*.f64 z x)) (*.f64 t z)))) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (/.f64 (fma.f64 y #s(literal -1/3 binary64) (*.f64 z x)) (*.f64 t z)))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (/.f64 (fma.f64 y #s(literal -1/3 binary64) (*.f64 z x)) (*.f64 t z)))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (/.f64 (fma.f64 y #s(literal -1/3 binary64) (*.f64 z x)) (*.f64 t z)))) |
(* -1/3 (/ y z)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(- x (* 1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(- x (* 1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(- x (* 1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1/3 (/ y z)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1/3 (/ y z)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1/3 (/ y z)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(/ (- (* x z) (* 1/3 y)) z) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(/ (- (* x z) (* 1/3 y)) z) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(/ (- (* x z) (* 1/3 y)) z) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
| 10 320× | lower-fma.f64 |
| 10 320× | lower-fma.f32 |
| 6 744× | lower-*.f32 |
| 6 740× | lower-*.f64 |
| 4 744× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 42 |
| 0 | 17 | 42 |
| 1 | 69 | 42 |
| 2 | 861 | 38 |
| 0 | 9318 | 37 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
(/.f64 y (*.f64 z #s(literal 3 binary64))) |
(*.f64 z #s(literal 3 binary64)) |
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) y) |
| Outputs |
|---|
(+.f64 x (neg.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))) |
(+.f64 (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(+.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(+.f64 (/.f64 y (*.f64 z #s(literal -3 binary64))) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) (+.f64 x (/.f64 (-.f64 (neg.f64 y) (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))) (neg.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 z #s(literal 9 binary64)) y) (*.f64 z y))) (+.f64 x (/.f64 (-.f64 (neg.f64 y) (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))))) |
(+.f64 (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) x) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
(+.f64 (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (/.f64 y (*.f64 z #s(literal -3 binary64)))) x) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(-.f64 (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) (/.f64 t (*.f64 (*.f64 y z) #s(literal -3 binary64)))) |
(-.f64 (/.f64 (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) (+.f64 x (/.f64 (-.f64 (neg.f64 y) (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))) (/.f64 (/.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 z #s(literal 9 binary64)) y) (*.f64 z y))) (+.f64 x (/.f64 (-.f64 (neg.f64 y) (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (*.f64 x x))) (-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z (*.f64 z #s(literal 9 binary64))))) (fma.f64 y (*.f64 (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (*.f64 x x))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (-.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(-.f64 (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) x) (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) x)))) (/.f64 (*.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))) (fma.f64 x x (*.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 z #s(literal 9 binary64)) y) (*.f64 z y))) (-.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x))) (/.f64 (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) (-.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))) (/.f64 (*.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (+.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))))) |
(-.f64 (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (*.f64 x x)))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z (*.f64 z #s(literal 9 binary64))))) (fma.f64 y (*.f64 (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (*.f64 x x)))) |
(-.f64 (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x))) (/.f64 (/.f64 (*.f64 y y) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x))) |
(-.f64 (+.f64 (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) x) #s(literal 0 binary64)) (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) #s(literal 1 binary64) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 t (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) #s(literal -3 binary64))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (neg.f64 t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) #s(literal -3 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 (neg.f64 y) (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))) (neg.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 z #s(literal 9 binary64)) y) (*.f64 z y))) (+.f64 x (/.f64 (-.f64 (neg.f64 y) (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))))) |
(fma.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z #s(literal -3 binary64)) (*.f64 z (*.f64 z #s(literal 9 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (*.f64 x x))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z #s(literal -3 binary64)) (*.f64 z (*.f64 z #s(literal 9 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 y (*.f64 (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (*.f64 x x)) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (*.f64 x x)))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z #s(literal -3 binary64))) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (neg.f64 y) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 t y) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (pow.f64 (/.f64 y t) #s(literal -1 binary64)) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) t (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (fma.f64 x x (/.f64 (*.f64 y y) (*.f64 z (*.f64 z #s(literal -9 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 x x (/.f64 (*.f64 y y) (*.f64 z (*.f64 z #s(literal -9 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) #s(literal 1 binary64)) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z #s(literal 3 binary64))) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 t (*.f64 (*.f64 y z) #s(literal -3 binary64))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (/.f64 y (neg.f64 z)) #s(literal 1/3 binary64) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 t (*.f64 z #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z #s(literal -3 binary64)) (*.f64 z (*.f64 z #s(literal 9 binary64))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (*.f64 x x)))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 (neg.f64 (fma.f64 x x (/.f64 (*.f64 y y) (*.f64 z (*.f64 z #s(literal -9 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) (neg.f64 x))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 t (*.f64 z #s(literal 3 binary64))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) t) #s(literal -1 binary64)) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 t (*.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) (/.f64 t (neg.f64 y)) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (/.f64 t z) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (*.f64 t #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (/.f64 t y) (/.f64 #s(literal 1/3 binary64) z) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y #s(literal 1/3 binary64)) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 t (*.f64 y #s(literal -3 binary64))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (/.f64 t (*.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 t (*.f64 z #s(literal -3 binary64))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
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(neg.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 z #s(literal 9 binary64)) y) (*.f64 z y))))) (neg.f64 (fma.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (-.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) (*.f64 (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)))))) |
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(neg.f64 (*.f64 z #s(literal -3 binary64))) |
(/.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 z #s(literal -3 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) z)) |
(*.f64 z #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) z) |
(*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 z))) |
(*.f64 #s(literal 3 binary64) (*.f64 z #s(literal 1 binary64))) |
(*.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 z #s(literal -3 binary64))) |
(*.f64 (neg.f64 z) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (neg.f64 z)) |
(*.f64 (neg.f64 (neg.f64 z)) #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) t)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 t (*.f64 (*.f64 y z) #s(literal -3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 y z) #s(literal -3 binary64))) (/.f64 t (*.f64 (*.f64 y z) #s(literal -3 binary64)))) |
(neg.f64 (/.f64 t (*.f64 (*.f64 y z) #s(literal -3 binary64)))) |
(neg.f64 (*.f64 (/.f64 t (*.f64 (*.f64 y z) #s(literal -3 binary64))) #s(literal 1 binary64))) |
(/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) |
(/.f64 (neg.f64 t) (*.f64 (*.f64 y z) #s(literal -3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 t z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) (/.f64 t y))) |
(/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 y z) #s(literal -3 binary64)) t)) |
(/.f64 (/.f64 t (*.f64 z #s(literal -3 binary64))) (neg.f64 y)) |
(/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (/.f64 t y) (*.f64 z #s(literal 3 binary64))) |
(/.f64 (neg.f64 (/.f64 t z)) (*.f64 y #s(literal -3 binary64))) |
(/.f64 (neg.f64 (/.f64 t y)) (*.f64 z #s(literal -3 binary64))) |
(/.f64 (*.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 y z) #s(literal -3 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 t z)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z #s(literal -3 binary64)))) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) |
(pow.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) t) #s(literal -1 binary64)) |
(*.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(*.f64 t (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) #s(literal -3 binary64)))) |
(*.f64 (neg.f64 t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) #s(literal -3 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 t y)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (pow.f64 (/.f64 y t) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) t) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64))) |
(*.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 t (*.f64 (*.f64 y z) #s(literal -3 binary64)))) |
(*.f64 (/.f64 t (*.f64 z #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 t (*.f64 z #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) t) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 t (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) z) (/.f64 t (neg.f64 y))) |
(*.f64 (/.f64 t z) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (*.f64 t #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) |
(*.f64 (/.f64 t y) (/.f64 #s(literal 1/3 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 t (*.f64 y #s(literal -3 binary64)))) |
(*.f64 (/.f64 t (*.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 t (*.f64 z #s(literal -3 binary64)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) t) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) t) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y z) #s(literal -3 binary64))) |
(neg.f64 (*.f64 (*.f64 y z) #s(literal -3 binary64))) |
(/.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 y z) #s(literal -3 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(*.f64 z (neg.f64 (*.f64 y #s(literal -3 binary64)))) |
(*.f64 #s(literal 3 binary64) (*.f64 y z)) |
(*.f64 #s(literal 3 binary64) (*.f64 z y)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) y) |
(*.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (*.f64 z #s(literal -3 binary64))) |
(*.f64 (*.f64 z #s(literal -3 binary64)) (neg.f64 y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) z) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y z) #s(literal -3 binary64))) |
(*.f64 (neg.f64 z) (*.f64 y #s(literal -3 binary64))) |
(*.f64 (*.f64 y z) #s(literal 3 binary64)) |
(*.f64 (*.f64 z y) #s(literal 3 binary64)) |
(*.f64 (neg.f64 (neg.f64 z)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) z) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 3 binary64)) |
Compiled 14 647 to 1 072 computations (92.7% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 534 | 14 | 548 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 535 | 14 | 549 |
| Status | Accuracy | Program |
|---|---|---|
| 95.6% | (fma.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) | |
| ▶ | 95.3% | (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
| 97.1% | (fma.f64 (/.f64 t (*.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) | |
| ▶ | 97.2% | (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
| ▶ | 95.3% | (+.f64 (-.f64 x (/.f64 (/.f64 y z) #s(literal 3 binary64))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 95.3% | (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) | |
| 95.3% | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 y #s(literal 3 binary64)) z))) | |
| 24.2% | (*.f64 (fma.f64 (fma.f64 x x (/.f64 (*.f64 y y) (*.f64 z (*.f64 z #s(literal -9 binary64))))) (/.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) t) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x) (*.f64 z #s(literal 3 binary64))) (/.f64 y t)))) | |
| 97.1% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)) | |
| 63.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) | |
| 62.0% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t z) (*.f64 y x)) y)) | |
| 34.9% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) | |
| ▶ | 68.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) |
| ▶ | 35.9% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
Compiled 502 to 314 computations (37.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 128 | (-.f64 x (/.f64 (/.f64 y z) #s(literal 3 binary64))) | |
| cost-diff | 384 | (/.f64 (/.f64 y z) #s(literal 3 binary64)) | |
| cost-diff | 640 | (+.f64 (-.f64 x (/.f64 (/.f64 y z) #s(literal 3 binary64))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) | |
| cost-diff | 0 | (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (/.f64 t (*.f64 y z)) | |
| cost-diff | 512 | (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) | |
| cost-diff | 0 | (-.f64 (/.f64 t y) y) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) z) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) | |
| cost-diff | 0 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/3 binary64) z) | |
| cost-diff | 0 | (*.f64 y (/.f64 #s(literal -1/3 binary64) z)) | |
| cost-diff | 0 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) | |
| cost-diff | 0 | (/.f64 t y) | |
| cost-diff | 0 | (-.f64 y (/.f64 t y)) | |
| cost-diff | 0 | (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) | |
| cost-diff | 128 | (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
| 2 112× | lower-fma.f32 |
| 2 108× | lower-fma.f64 |
| 1 152× | lower-*.f32 |
| 1 142× | lower-*.f64 |
| 592× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 203 |
| 0 | 58 | 196 |
| 1 | 103 | 188 |
| 2 | 202 | 188 |
| 3 | 364 | 188 |
| 4 | 762 | 188 |
| 5 | 1784 | 188 |
| 6 | 3626 | 188 |
| 7 | 4021 | 188 |
| 8 | 4173 | 188 |
| 9 | 4230 | 188 |
| 10 | 4233 | 188 |
| 11 | 4233 | 188 |
| 12 | 4281 | 188 |
| 13 | 4309 | 188 |
| 14 | 4309 | 188 |
| 15 | 4309 | 188 |
| 16 | 4345 | 188 |
| 17 | 4519 | 188 |
| 18 | 4519 | 188 |
| 0 | 4519 | 183 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
x |
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) |
(-.f64 y (/.f64 t y)) |
y |
(/.f64 t y) |
t |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
y |
(/.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
z |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(/.f64 #s(literal 1/3 binary64) z) |
#s(literal 1/3 binary64) |
z |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(/.f64 t (*.f64 y z)) |
t |
(*.f64 y z) |
y |
z |
#s(literal 1/3 binary64) |
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) |
(/.f64 y z) |
#s(literal -1/3 binary64) |
x |
(+.f64 (-.f64 x (/.f64 (/.f64 y z) #s(literal 3 binary64))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(-.f64 x (/.f64 (/.f64 y z) #s(literal 3 binary64))) |
x |
(/.f64 (/.f64 y z) #s(literal 3 binary64)) |
(/.f64 y z) |
y |
z |
#s(literal 3 binary64) |
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) |
t |
(*.f64 (*.f64 z #s(literal 3 binary64)) y) |
(*.f64 z #s(literal 3 binary64)) |
| Outputs |
|---|
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) |
(-.f64 y (/.f64 t y)) |
y |
(/.f64 t y) |
t |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
y |
(/.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
z |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal -3 binary64))) |
(/.f64 #s(literal 1/3 binary64) z) |
#s(literal 1/3 binary64) |
z |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(/.f64 t (*.f64 y z)) |
t |
(*.f64 y z) |
y |
z |
#s(literal 1/3 binary64) |
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(/.f64 y z) |
#s(literal -1/3 binary64) |
x |
(+.f64 (-.f64 x (/.f64 (/.f64 y z) #s(literal 3 binary64))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(-.f64 x (/.f64 (/.f64 y z) #s(literal 3 binary64))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(/.f64 (/.f64 y z) #s(literal 3 binary64)) |
(/.f64 y (*.f64 z #s(literal 3 binary64))) |
(/.f64 y z) |
y |
z |
#s(literal 3 binary64) |
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) |
(/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) |
t |
(*.f64 (*.f64 z #s(literal 3 binary64)) y) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(*.f64 z #s(literal 3 binary64)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.16015625 | (*.f64 (*.f64 z #s(literal 3 binary64)) y) | |
| accuracy | 0.19921875 | (/.f64 (/.f64 y z) #s(literal 3 binary64)) | |
| accuracy | 0.45312293583020585 | (+.f64 (-.f64 x (/.f64 (/.f64 y z) #s(literal 3 binary64))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) | |
| accuracy | 4.440156224813353 | (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) | |
| accuracy | 0 | (*.f64 y z) | |
| accuracy | 0.1328125 | (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) | |
| accuracy | 0.5078104358302058 | (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) | |
| accuracy | 4.477609730788601 | (/.f64 t (*.f64 y z)) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 t y) y) | |
| accuracy | 0.375 | (/.f64 #s(literal 1/3 binary64) z) | |
| accuracy | 1.862103600686446 | (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) | |
| accuracy | 18.519564843908185 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) | |
| accuracy | 0.20703125 | (*.f64 y (/.f64 #s(literal -1/3 binary64) z)) | |
| accuracy | 0.375 | (/.f64 #s(literal -1/3 binary64) z) | |
| accuracy | 40.93396682680335 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) | |
| accuracy | 0 | (*.f64 z #s(literal 3 binary64)) | |
| accuracy | 0.00390625 | (-.f64 y (/.f64 t y)) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) | |
| accuracy | 1.866009850686446 | (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) |
| 75.0ms | 256× | 0 | valid |
Compiled 192 to 34 computations (82.3% saved)
ival-div: 15.0ms (33.4% of total)ival-mult: 10.0ms (22.3% of total)ival-add: 8.0ms (17.8% of total)const: 6.0ms (13.4% of total)ival-sub: 5.0ms (11.1% 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 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 y (/.f64 t y)) (patch (-.f64 y (/.f64 t y)) #<representation binary64>) () ()) |
#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (/.f64 #s(literal -1/3 binary64) z)) (patch (*.f64 y (/.f64 #s(literal -1/3 binary64) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/3 binary64) z) (patch (/.f64 #s(literal -1/3 binary64) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) z) (patch (/.f64 #s(literal 1/3 binary64) z) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 t y) y) (patch (-.f64 (/.f64 t y) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) (patch (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 t (*.f64 y z)) (patch (/.f64 t (*.f64 y z)) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) (patch (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) #<representation binary64>) () ()) |
#s(alt (+.f64 (-.f64 x (/.f64 (/.f64 y z) #s(literal 3 binary64))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 (/.f64 y z) #s(literal 3 binary64))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 y z) #s(literal 3 binary64)) (patch (/.f64 (/.f64 y z) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 (/.f64 y z) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 (/.f64 y z) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/3 (/ (- y (/ t y)) z)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 1/3 (/ (- y (/ t y)) z))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 1/3 (/ (- y (/ t y)) z))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 1/3 (/ (- y (/ t y)) z))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x y) (* -1/3 (/ t z))) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ y z)) (taylor inf y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ y z)) (taylor -inf y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 1/3 (/ y z))) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) (taylor -inf t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) (taylor -inf t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) (taylor -inf t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ (- y (/ t y)) z)) (taylor 0 z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x z) (* 1/3 (- y (/ t y)))) z) (taylor 0 z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x z) (* 1/3 (- y (/ t y)))) z) (taylor 0 z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x z) (* 1/3 (- y (/ t y)))) z) (taylor 0 z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/3 (/ (- y (/ t y)) z))) (taylor inf z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/3 (/ (- y (/ t y)) z))) (taylor inf z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/3 (/ (- y (/ t y)) z))) (taylor inf z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/3 (/ (- y (/ t y)) z))) (taylor -inf z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/3 (/ (- y (/ t y)) z))) (taylor -inf z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/3 (/ (- y (/ t y)) z))) (taylor -inf z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ t (* y z))) (taylor 0 y) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ y z)) (taylor inf y) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* 3 (* y z)) (taylor inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor -inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor -inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor -inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor -inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
171 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | -inf | (- x (/ (- y (/ t y)) (* z 3))) |
| 2.0ms | t | @ | inf | (/ t y) |
| 1.0ms | t | @ | inf | (- x (/ (- y (/ t y)) (* z 3))) |
| 1.0ms | z | @ | 0 | (* (/ 1/3 z) (- (/ t y) y)) |
| 1.0ms | t | @ | 0 | (- x (/ (- y (/ t y)) (* z 3))) |
| 1× | egg-herbie |
| 14 508× | lower-fma.f64 |
| 14 508× | lower-fma.f32 |
| 4 158× | lower-*.f64 |
| 4 158× | lower-*.f32 |
| 1 924× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 204 | 5218 |
| 1 | 589 | 5158 |
| 2 | 1688 | 4968 |
| 3 | 5518 | 4746 |
| 0 | 8675 | 4504 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/3 (/ (- y (/ t y)) z)) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
x |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
x |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (- (* x y) (* -1/3 (/ t z))) y) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1/3 (/ (- y (/ t y)) z)) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
x |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
x |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(* -1/3 (/ t (* y z))) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(* 1/3 (/ y z)) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* 1/3 (/ y z)) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* 1/3 (/ y z)) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(* -1/3 (/ t (* y z))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* -1/3 (/ t (* y z))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* -1 (/ t y)) |
(/ (- (pow y 2) t) y) |
(/ (- (pow y 2) t) y) |
(/ (- (pow y 2) t) y) |
y |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
y |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
y |
(+ y (* -1 (/ t y))) |
(+ y (* -1 (/ t y))) |
(+ y (* -1 (/ t y))) |
(* -1 (/ t y)) |
(* t (- (/ y t) (/ 1 y))) |
(* t (- (/ y t) (/ 1 y))) |
(* t (- (/ y t) (/ 1 y))) |
(* -1 (/ t y)) |
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y)))) |
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y)))) |
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y)))) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* -1/3 (/ y z)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(* 1/3 (/ t (* y z))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(* -1/3 (/ y z)) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(* -1 y) |
(- (/ t y) y) |
(- (/ t y) y) |
(- (/ t y) y) |
(/ t y) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(/ t y) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(/ t y) |
(/ (+ t (* -1 (pow y 2))) y) |
(/ (+ t (* -1 (pow y 2))) y) |
(/ (+ t (* -1 (pow y 2))) y) |
(* -1 y) |
(* y (- (/ t (pow y 2)) 1)) |
(* y (- (/ t (pow y 2)) 1)) |
(* y (- (/ t (pow y 2)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(+ x (* -1/3 (/ y z))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(* 1/3 (/ t (* y z))) |
(* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t)))) |
(* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t)))) |
(* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t)))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(/ (+ (* -1/3 y) (* 1/3 (/ t y))) z) |
(/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z) |
(/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z) |
(/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z) |
x |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
x |
(+ x (* -1 (/ (+ (* -1/3 (/ t y)) (* 1/3 y)) z))) |
(+ x (* -1 (/ (+ (* -1/3 (/ t y)) (* 1/3 y)) z))) |
(+ x (* -1 (/ (+ (* -1/3 (/ t y)) (* 1/3 y)) z))) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
x |
(* x (+ 1 (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z))))))) |
(* x (+ 1 (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z))))))) |
(* x (+ 1 (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z))))))) |
x |
(* -1 (* x (- (* -1 (/ (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) x)) 1))) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1/3 (/ y z)) |
(/ (+ (* -1/3 y) (* x z)) z) |
(/ (+ (* -1/3 y) (* x z)) z) |
(/ (+ (* -1/3 y) (* x z)) z) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(* -1/3 (/ y z)) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
x |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(- x (* 1/3 (/ y z))) |
(- x (* 1/3 (/ y z))) |
(- x (* 1/3 (/ y z))) |
x |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1/3 (/ y z)) |
(/ (- (* x z) (* 1/3 y)) z) |
(/ (- (* x z) (* 1/3 y)) z) |
(/ (- (* x z) (* 1/3 y)) z) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
| Outputs |
|---|
(* -1/3 (/ (- y (/ t y)) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(/ (- (* x y) (* -1/3 (/ t z))) y) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1/3 (/ y z)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1/3 (/ y z)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(- x (* 1/3 (/ y z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 t (/.f64 x t) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 t (/.f64 x t) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 t (/.f64 x t) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 t (/.f64 x t) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 t (/.f64 x t) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 t (/.f64 x t) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
(* -1/3 (/ (- y (/ t y)) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) t) (*.f64 y z)) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 t z) (*.f64 y (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 t z) (*.f64 y (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 t z) (*.f64 y (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) y) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) z) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) z) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) z) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1/3 (/ t (* y z))) |
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(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
| 8 432× | lower-fma.f32 |
| 8 428× | lower-fma.f64 |
| 5 294× | lower-/.f32 |
| 5 278× | lower-/.f64 |
| 4 022× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 171 |
| 0 | 58 | 164 |
| 1 | 259 | 156 |
| 2 | 2553 | 156 |
| 0 | 9044 | 151 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) |
(-.f64 y (/.f64 t y)) |
(/.f64 t y) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(/.f64 #s(literal -1/3 binary64) z) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(/.f64 #s(literal 1/3 binary64) z) |
(-.f64 (/.f64 t y) y) |
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(/.f64 t (*.f64 y z)) |
(*.f64 y z) |
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) |
(+.f64 (-.f64 x (/.f64 (/.f64 y z) #s(literal 3 binary64))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(/.f64 (/.f64 y z) #s(literal 3 binary64)) |
(-.f64 x (/.f64 (/.f64 y z) #s(literal 3 binary64))) |
(/.f64 y z) |
(*.f64 z #s(literal 3 binary64)) |
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) y) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal -3 binary64)))) |
(+.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(+.f64 (/.f64 y (*.f64 z #s(literal -3 binary64))) (+.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z))))) |
(+.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal -3 binary64))) x) |
(+.f64 (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 t #s(literal 1/3 binary64))) (*.f64 (*.f64 y z) (*.f64 y z))) (-.f64 (/.f64 (-.f64 (/.f64 t y) (neg.f64 y)) (*.f64 z #s(literal 3 binary64))) x)) (/.f64 (*.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (-.f64 (/.f64 (-.f64 (/.f64 t y) (neg.f64 y)) (*.f64 z #s(literal 3 binary64))) x))) |
(-.f64 (/.f64 (*.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (+.f64 x (/.f64 (-.f64 y (neg.f64 (/.f64 t y))) (*.f64 z #s(literal -3 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 t #s(literal 1/3 binary64))) (*.f64 (*.f64 y z) (*.f64 y z))) (+.f64 x (/.f64 (-.f64 y (neg.f64 (/.f64 t y))) (*.f64 z #s(literal -3 binary64)))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal 1/3 binary64) z) x) (*.f64 x x))) (/.f64 (/.f64 (*.f64 (-.f64 y (/.f64 t y)) (*.f64 (-.f64 y (/.f64 t y)) (-.f64 y (/.f64 t y)))) (*.f64 #s(literal 27 binary64) (*.f64 z (*.f64 z z)))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal 1/3 binary64) z) x) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal 1/3 binary64) z) x)) (/.f64 (/.f64 (*.f64 (-.f64 y (/.f64 t y)) (-.f64 y (/.f64 t y))) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z #s(literal 3 binary64)))) (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal 1/3 binary64) z) x))) |
(-.f64 (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 y (/.f64 t y)) (-.f64 y (/.f64 t y))) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z #s(literal 3 binary64)))) (-.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal -3 binary64))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal -3 binary64))) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal -3 binary64))))) (/.f64 (/.f64 (*.f64 (-.f64 y (/.f64 t y)) (-.f64 y (/.f64 t y))) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z #s(literal 3 binary64)))) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal -3 binary64)))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) (+.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z))))) |
(fma.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 t y) (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) (+.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 t) (*.f64 y z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 t y) (neg.f64 z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z))))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) (neg.f64 (/.f64 t y)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 y (neg.f64 z)) (+.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z))))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 t y) y)) x) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (+.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z))))) |
(fma.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -3 binary64)))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z) (+.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z))))) |
(fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x) |
(fma.f64 (/.f64 y (neg.f64 z)) #s(literal 1/3 binary64) (+.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z))))) |
(fma.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 27 binary64) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (*.f64 z #s(literal 3 binary64))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)))) |
(fma.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 27 binary64) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 y (*.f64 z #s(literal -3 binary64)))) (/.f64 (*.f64 y y) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z #s(literal 3 binary64)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 t #s(literal 3 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 t y) #s(literal 3 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) t) #s(literal -1 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 t (*.f64 y #s(literal 3 binary64))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y #s(literal -3 binary64)) (+.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 (/.f64 t y) y) #s(literal 3 binary64)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) t (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 t y) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 t (*.f64 z #s(literal 3 binary64))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (neg.f64 (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z #s(literal 3 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (*.f64 z #s(literal -3 binary64))) x)) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)))) |
(fma.f64 (*.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) z) (+.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z))))) |
(fma.f64 (*.f64 t #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1 binary64) z) x) |
(fma.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z #s(literal 3 binary64))) (+.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z))))) |
(fma.f64 (/.f64 t z) (/.f64 #s(literal 1/3 binary64) y) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 t z) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 t z) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 t z) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (/.f64 t z) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 t #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) z) (+.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 y #s(literal 3 binary64)) (+.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z))))) |
(fma.f64 (/.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (+.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 t (*.f64 z #s(literal -3 binary64))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y #s(literal 3 binary64)) (+.f64 x (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 y (/.f64 t y)) #s(literal 3 binary64)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 t (neg.f64 (*.f64 y #s(literal 3 binary64)))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 t y) #s(literal -3 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 t (*.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 z #s(literal 3 binary64))) (neg.f64 (/.f64 t y)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 t #s(literal -3 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) z) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
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(*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64)) |
(*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -3 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 t #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 t y) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) t) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 t (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) t) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 t y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 t (*.f64 z #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(*.f64 (*.f64 t #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 t z) (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 (/.f64 t z) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) |
(*.f64 (/.f64 t z) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 t z)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (/.f64 t z)) |
(*.f64 (/.f64 t #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 t (*.f64 z #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 t (neg.f64 (*.f64 y #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 t y) #s(literal -3 binary64))) |
(*.f64 (/.f64 t (*.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z #s(literal 3 binary64))) (neg.f64 (/.f64 t y))) |
(*.f64 (/.f64 t #s(literal -3 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) z)) |
(*.f64 (/.f64 t (neg.f64 z)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) |
(*.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z #s(literal 3 binary64)))) |
(*.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(*.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
(*.f64 (/.f64 (neg.f64 t) z) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (neg.f64 t) z) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))) |
(*.f64 (/.f64 (neg.f64 t) z) (/.f64 #s(literal 1/3 binary64) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 t) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) z)) |
(*.f64 (/.f64 (neg.f64 t) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 y)) (/.f64 (neg.f64 t) z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 y z)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) y) |
(*.f64 (*.f64 y z) #s(literal 3 binary64)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) z) |
Compiled 50 190 to 2 971 computations (94.1% saved)
19 alts after pruning (18 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 263 | 16 | 2 279 |
| Fresh | 7 | 2 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 274 | 19 | 2 293 |
| Status | Accuracy | Program |
|---|---|---|
| 97.1% | (fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) x) | |
| ▶ | 97.1% | (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) |
| ▶ | 63.7% | (-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) (*.f64 z #s(literal 3 binary64)))) |
| ▶ | 63.6% | (-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) |
| 62.3% | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) | |
| 34.9% | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z))) | |
| 35.9% | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) | |
| 63.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) | |
| 62.0% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t z) (*.f64 y x)) y)) | |
| 35.9% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 y z) #s(literal -3 binary64))) | |
| 68.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) | |
| 35.9% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) | |
| ▶ | 36.0% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
| 68.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64))) | |
| 68.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (fma.f64 (/.f64 #s(literal 1 binary64) y) t (neg.f64 y)))) | |
| ▶ | 35.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y)))) |
| 68.5% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y))) | |
| ✓ | 35.9% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
| 68.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 t y) y)))) |
Compiled 486 to 321 computations (34% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 t (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) | |
| cost-diff | 0 | (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) (*.f64 z #s(literal 3 binary64))) | |
| cost-diff | 128 | (-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) (*.f64 z #s(literal 3 binary64)))) | |
| cost-diff | 0 | #s(approx (- (/ t y) y) (/.f64 t y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) z) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y))) | |
| cost-diff | 0 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y)))) | |
| cost-diff | 0 | (*.f64 y #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 y #s(literal 1/3 binary64)) z) | |
| cost-diff | 0 | #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) | |
| cost-diff | 0 | (*.f64 z #s(literal -3 binary64)) | |
| cost-diff | 0 | (/.f64 y (*.f64 z #s(literal -3 binary64))) | |
| cost-diff | 0 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) | |
| cost-diff | 0 | (*.f64 y #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z) | |
| cost-diff | 128 | (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) | |
| cost-diff | 320 | (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) |
| 2 560× | lower-fma.f64 |
| 2 560× | lower-fma.f32 |
| 1 488× | lower-*.f32 |
| 1 478× | lower-*.f64 |
| 854× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 240 |
| 0 | 58 | 240 |
| 1 | 105 | 232 |
| 2 | 208 | 226 |
| 3 | 426 | 226 |
| 4 | 985 | 226 |
| 5 | 2225 | 226 |
| 6 | 3380 | 226 |
| 7 | 4066 | 226 |
| 8 | 4353 | 226 |
| 9 | 4422 | 226 |
| 10 | 4449 | 226 |
| 11 | 4620 | 226 |
| 12 | 4700 | 226 |
| 13 | 4993 | 226 |
| 14 | 5157 | 226 |
| 15 | 5171 | 226 |
| 16 | 5173 | 226 |
| 17 | 5173 | 226 |
| 18 | 5326 | 226 |
| 19 | 5500 | 226 |
| 20 | 5508 | 226 |
| 21 | 5508 | 226 |
| 0 | 5508 | 222 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) |
x |
(/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z) |
(-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) |
(*.f64 y #s(literal 1/3 binary64)) |
y |
#s(literal 1/3 binary64) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(*.f64 t #s(literal 1/3 binary64)) |
t |
z |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
y |
(*.f64 z #s(literal -3 binary64)) |
z |
#s(literal -3 binary64) |
(-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) |
x |
#s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) z) |
(*.f64 y #s(literal 1/3 binary64)) |
y |
#s(literal 1/3 binary64) |
z |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y))) |
(/.f64 #s(literal 1/3 binary64) z) |
#s(literal 1/3 binary64) |
z |
#s(approx (- (/ t y) y) (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) (*.f64 z #s(literal 3 binary64)))) |
x |
(/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) (*.f64 z #s(literal 3 binary64))) |
#s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) |
(/.f64 t (neg.f64 y)) |
t |
(neg.f64 y) |
y |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
x |
(/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z)) |
(-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) |
(*.f64 #s(literal 1/3 binary64) (-.f64 y (/.f64 t y))) |
(*.f64 y #s(literal 1/3 binary64)) |
y |
#s(literal 1/3 binary64) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(*.f64 #s(literal 1/3 binary64) (/.f64 t y)) |
(*.f64 t #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) t) |
t |
z |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
y |
(*.f64 z #s(literal -3 binary64)) |
z |
#s(literal -3 binary64) |
(-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) |
(-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 y (*.f64 z #s(literal 3 binary64))))) |
x |
#s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) |
#s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) z) |
(/.f64 y (*.f64 z #s(literal 3 binary64))) |
(*.f64 y #s(literal 1/3 binary64)) |
y |
#s(literal 1/3 binary64) |
z |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- (/ t y) y) (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y))) |
(/.f64 #s(approx (- (/ t y) y) (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) |
(/.f64 #s(literal 1/3 binary64) z) |
#s(literal 1/3 binary64) |
z |
#s(approx (- (/ t y) y) (/.f64 t y)) |
(/.f64 t y) |
t |
y |
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) (*.f64 z #s(literal 3 binary64)))) |
(fma.f64 #s(approx (- y (/ t y)) (neg.f64 (/.f64 t y))) (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) (*.f64 z #s(literal 3 binary64))) |
(/.f64 #s(approx (- y (/ t y)) (neg.f64 (/.f64 t y))) (*.f64 z #s(literal 3 binary64))) |
#s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) |
#s(approx (- y (/ t y)) (neg.f64 (/.f64 t y))) |
(/.f64 t (neg.f64 y)) |
(neg.f64 (/.f64 t y)) |
t |
(neg.f64 y) |
y |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) (*.f64 z #s(literal 3 binary64)))) | |
| accuracy | 1.866009850686446 | (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) (*.f64 z #s(literal 3 binary64))) | |
| accuracy | 30.770570548638986 | #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) | |
| accuracy | 0.375 | (/.f64 #s(literal 1/3 binary64) z) | |
| accuracy | 1.862103600686446 | (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y))) | |
| accuracy | 18.519564843908185 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y)))) | |
| accuracy | 30.770570548638986 | #s(approx (- (/ t y) y) (/.f64 t y)) | |
| accuracy | 0.00390625 | (-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) | |
| accuracy | 0.171875 | (/.f64 (*.f64 y #s(literal 1/3 binary64)) z) | |
| accuracy | 0.296875 | (*.f64 y #s(literal 1/3 binary64)) | |
| accuracy | 31.462575073455533 | #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) | |
| accuracy | 0 | (*.f64 z #s(literal -3 binary64)) | |
| accuracy | 0.20703125 | (/.f64 y (*.f64 z #s(literal -3 binary64))) | |
| accuracy | 40.93396682680335 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) | |
| accuracy | 0.12109375 | (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) | |
| accuracy | 0.29296875 | (*.f64 t #s(literal 1/3 binary64)) | |
| accuracy | 0.296875 | (*.f64 y #s(literal 1/3 binary64)) | |
| accuracy | 1.834759850686446 | (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z) |
| 81.0ms | 256× | 0 | valid |
Compiled 187 to 33 computations (82.4% saved)
ival-div: 21.0ms (45.4% of total)ival-sub: 11.0ms (23.8% of total)ival-mult: 9.0ms (19.5% of total)const: 4.0ms (8.7% of total)ival-add: 1.0ms (2.2% of total)ival-neg: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z) (patch (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 y #s(literal 1/3 binary64)) (patch (*.f64 y #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 z #s(literal -3 binary64))) (patch (/.f64 y (*.f64 z #s(literal -3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(literal -3 binary64)) (patch (*.f64 z #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) (patch (-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (patch #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y #s(literal 1/3 binary64)) z) (patch (/.f64 (*.f64 y #s(literal 1/3 binary64)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y))) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) z) (patch (/.f64 #s(literal 1/3 binary64) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ t y) y) (/.f64 t y)) (patch #s(approx (- (/ t y) y) (/.f64 t y)) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) (*.f64 z #s(literal 3 binary64))) (patch (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) (patch #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (/.f64 t (neg.f64 y)) (patch (/.f64 t (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (*.f64 t #s(literal 1/3 binary64)) (patch (*.f64 t #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/3 (/ t y)) (taylor 0 y) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/3 (pow y 2)) (* 1/3 t)) y) (taylor 0 y) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/3 (pow y 2)) (* 1/3 t)) y) (taylor 0 y) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/3 (pow y 2)) (* 1/3 t)) y) (taylor 0 y) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 y) (taylor inf y) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) (taylor inf y) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) (taylor inf y) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) (taylor inf y) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 y) (taylor -inf y) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) (taylor -inf y) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) (taylor -inf y) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) (taylor -inf y) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 y) (taylor 0 t) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ t y)) (* 1/3 y)) (taylor 0 t) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ t y)) (* 1/3 y)) (taylor 0 t) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ t y)) (* 1/3 y)) (taylor 0 t) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ t y)) (taylor inf t) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) (taylor inf t) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) (taylor inf t) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) (taylor inf t) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ t y)) (taylor -inf t) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) (taylor -inf t) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) (taylor -inf t) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) (taylor -inf t) (#s(alt (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (patch (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (/ t z)) (* x y)) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ y z)) (taylor inf y) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ y z)) (taylor -inf y) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) (patch (-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (/ t y)) (taylor -inf t) (#s(alt (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t y)) (taylor -inf t) (#s(alt (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t y)) (taylor -inf t) (#s(alt (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t y)) (taylor inf y) (#s(alt (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t y)) (taylor inf y) (#s(alt (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t y)) (taylor inf y) (#s(alt (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t y)) (taylor inf y) (#s(alt (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) (patch (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
153 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | y | @ | inf | (/ (- (* y 1/3) (/ (* t 1/3) y)) z) |
| 0.0ms | z | @ | 0 | (/ (- (* y 1/3) (/ (* t 1/3) y)) z) |
| 0.0ms | z | @ | inf | (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) |
| 0.0ms | y | @ | inf | (- (* y 1/3) (/ (* t 1/3) y)) |
| 0.0ms | y | @ | 0 | (- (* y 1/3) (/ (* t 1/3) y)) |
| 1× | egg-herbie |
| 6 810× | lower-fma.f64 |
| 6 810× | lower-fma.f32 |
| 4 022× | lower-*.f64 |
| 4 022× | lower-*.f32 |
| 1 840× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 192 | 5348 |
| 1 | 582 | 5288 |
| 2 | 1742 | 5089 |
| 3 | 5715 | 4624 |
| 0 | 8254 | 4430 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/3 (/ t y)) |
(/ (- (* 1/3 (pow y 2)) (* 1/3 t)) y) |
(/ (- (* 1/3 (pow y 2)) (* 1/3 t)) y) |
(/ (- (* 1/3 (pow y 2)) (* 1/3 t)) y) |
(* 1/3 y) |
(* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) |
(* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) |
(* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) |
(* 1/3 y) |
(* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) |
(* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) |
(* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) |
(* 1/3 y) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(* -1/3 (/ t y)) |
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) |
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) |
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) |
(* -1/3 (/ t y)) |
(* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) |
(* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) |
(* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) |
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(+ x (* -1 (/ (- (* 1/3 y) (* 1/3 (/ t y))) z))) |
(+ x (* -1 (/ (- (* 1/3 y) (* 1/3 (/ t y))) z))) |
(+ x (* -1 (/ (- (* 1/3 y) (* 1/3 (/ t y))) z))) |
(* -1/3 (/ t (* y z))) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(* 1/3 (/ y z)) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* 1/3 (/ y z)) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* 1/3 (/ y z)) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(* -1/3 (/ t (* y z))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* -1/3 (/ t (* y z))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(* 1/3 y) |
(* 1/3 y) |
(* 1/3 y) |
(* 1/3 y) |
(* 1/3 y) |
(* 1/3 y) |
(* 1/3 y) |
(* 1/3 y) |
(* 1/3 y) |
(* 1/3 y) |
(* 1/3 y) |
(* 1/3 y) |
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -1/3 (/ (- y (/ t y)) z)) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
x |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
x |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (- (* x y) (* -1/3 (/ t z))) y) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1/3 (/ (- y (/ t y)) z)) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
x |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
x |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(* -1/3 (/ t (* y z))) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(* 1/3 (/ y z)) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* 1/3 (/ y z)) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* 1/3 (/ y z)) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(* -1/3 (/ t (* y z))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* -1/3 (/ t (* y z))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
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(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
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(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* -1/3 (/ y z)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(* 1/3 (/ t (* y z))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(* -1/3 (/ y z)) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(* -1 y) |
(- (/ t y) y) |
(- (/ t y) y) |
(- (/ t y) y) |
(/ t y) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(/ t y) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(/ t y) |
(/ (+ t (* -1 (pow y 2))) y) |
(/ (+ t (* -1 (pow y 2))) y) |
(/ (+ t (* -1 (pow y 2))) y) |
(* -1 y) |
(* y (- (/ t (pow y 2)) 1)) |
(* y (- (/ t (pow y 2)) 1)) |
(* y (- (/ t (pow y 2)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(* -1/3 (/ (- y (/ t y)) z)) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
x |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
x |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (- (* x y) (* -1/3 (/ t z))) y) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
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(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1/3 (/ (- y (/ t y)) z)) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
x |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
x |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(* -1/3 (/ t (* y z))) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(* 1/3 (/ y z)) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* 1/3 (/ y z)) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* 1/3 (/ y z)) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(* -1/3 (/ t (* y z))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* -1/3 (/ t (* y z))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* -1 (/ t y)) |
(/ (- (pow y 2) t) y) |
(/ (- (pow y 2) t) y) |
(/ (- (pow y 2) t) y) |
y |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
y |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
y |
(+ y (* -1 (/ t y))) |
(+ y (* -1 (/ t y))) |
(+ y (* -1 (/ t y))) |
(* -1 (/ t y)) |
(* t (- (/ y t) (/ 1 y))) |
(* t (- (/ y t) (/ 1 y))) |
(* t (- (/ y t) (/ 1 y))) |
(* -1 (/ t y)) |
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y)))) |
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y)))) |
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y)))) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* 1/3 (/ t y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
| Outputs |
|---|
(* -1/3 (/ t y)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) t) y) |
(/ (- (* 1/3 (pow y 2)) (* 1/3 t)) y) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(/ (- (* 1/3 (pow y 2)) (* 1/3 t)) y) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(/ (- (* 1/3 (pow y 2)) (* 1/3 t)) y) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* 1/3 y) |
(*.f64 y #s(literal 1/3 binary64)) |
(* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* 1/3 y) |
(*.f64 y #s(literal 1/3 binary64)) |
(* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* 1/3 y) |
(*.f64 y #s(literal 1/3 binary64)) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) t) y) |
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) t) y) |
(* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* 1/3 (/ t (* y z))) |
(*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) y) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
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(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- y (/ t y)) z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- y (/ t y)) z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- y (/ t y)) z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- y (/ t y)) z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- y (/ t y)) z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- y (/ t y)) z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(/ (- (pow y 2) t) y) |
(-.f64 y (/.f64 t y)) |
(/ (- (pow y 2) t) y) |
(-.f64 y (/.f64 t y)) |
(/ (- (pow y 2) t) y) |
(-.f64 y (/.f64 t y)) |
y |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
(-.f64 y (/.f64 t y)) |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
(-.f64 y (/.f64 t y)) |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
(-.f64 y (/.f64 t y)) |
y |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
(-.f64 y (/.f64 t y)) |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
(-.f64 y (/.f64 t y)) |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
(-.f64 y (/.f64 t y)) |
y |
(+ y (* -1 (/ t y))) |
(-.f64 y (/.f64 t y)) |
(+ y (* -1 (/ t y))) |
(-.f64 y (/.f64 t y)) |
(+ y (* -1 (/ t y))) |
(-.f64 y (/.f64 t y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* t (- (/ y t) (/ 1 y))) |
(-.f64 y (/.f64 t y)) |
(* t (- (/ y t) (/ 1 y))) |
(-.f64 y (/.f64 t y)) |
(* t (- (/ y t) (/ 1 y))) |
(-.f64 y (/.f64 t y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y)))) |
(-.f64 y (/.f64 t y)) |
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y)))) |
(-.f64 y (/.f64 t y)) |
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y)))) |
(-.f64 y (/.f64 t y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* -1 (/ t y)) |
(/.f64 t (neg.f64 y)) |
(* 1/3 t) |
(*.f64 t #s(literal 1/3 binary64)) |
(* 1/3 t) |
(*.f64 t #s(literal 1/3 binary64)) |
(* 1/3 t) |
(*.f64 t #s(literal 1/3 binary64)) |
(* 1/3 t) |
(*.f64 t #s(literal 1/3 binary64)) |
(* 1/3 t) |
(*.f64 t #s(literal 1/3 binary64)) |
(* 1/3 t) |
(*.f64 t #s(literal 1/3 binary64)) |
(* 1/3 t) |
(*.f64 t #s(literal 1/3 binary64)) |
(* 1/3 t) |
(*.f64 t #s(literal 1/3 binary64)) |
(* 1/3 t) |
(*.f64 t #s(literal 1/3 binary64)) |
(* 1/3 t) |
(*.f64 t #s(literal 1/3 binary64)) |
(* 1/3 t) |
(*.f64 t #s(literal 1/3 binary64)) |
(* 1/3 t) |
(*.f64 t #s(literal 1/3 binary64)) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* 1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
| 5 250× | lower-/.f32 |
| 5 234× | lower-/.f64 |
| 3 978× | lower-*.f32 |
| 3 968× | lower-*.f64 |
| 3 196× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 210 |
| 0 | 58 | 210 |
| 1 | 255 | 202 |
| 2 | 2434 | 198 |
| 0 | 8195 | 196 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) |
(-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) |
(/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z) |
(*.f64 y #s(literal 1/3 binary64)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
(*.f64 z #s(literal -3 binary64)) |
(-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) |
#s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) z) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y))) |
(/.f64 #s(literal 1/3 binary64) z) |
#s(approx (- (/ t y) y) (/.f64 t y)) |
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) (*.f64 z #s(literal 3 binary64)))) |
(/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) (*.f64 z #s(literal 3 binary64))) |
#s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) |
(/.f64 t (neg.f64 y)) |
(*.f64 t #s(literal 1/3 binary64)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) y) |
(neg.f64 y) |
| Outputs |
|---|
(+.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal -1/3 binary64)) y)) |
(+.f64 (/.f64 (*.f64 t #s(literal -1/3 binary64)) y) (*.f64 y #s(literal 1/3 binary64))) |
(-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) t) y)) |
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) t) y) (fma.f64 y #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) t) y)) (*.f64 (*.f64 y y) #s(literal 1/9 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/27 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) t) y) (fma.f64 y #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) t) y)) (*.f64 (*.f64 y y) #s(literal 1/9 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/9 binary64)) (fma.f64 y #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) t) y))) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 t t) (*.f64 y y))) (fma.f64 y #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) t) y)))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/9 binary64)) (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal -1/3 binary64)) y))) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 t t) (*.f64 y y))) (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal -1/3 binary64)) y)))) |
(fma.f64 y #s(literal 1/3 binary64) (/.f64 (*.f64 t #s(literal -1/3 binary64)) y)) |
(fma.f64 #s(literal 1/3 binary64) y (/.f64 (*.f64 t #s(literal -1/3 binary64)) y)) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (neg.f64 y)) (*.f64 y #s(literal 1/3 binary64))) |
(fma.f64 t (neg.f64 (/.f64 #s(literal 1/3 binary64) y)) (*.f64 y #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) t) (/.f64 #s(literal -1 binary64) y) (*.f64 y #s(literal 1/3 binary64))) |
(fma.f64 (/.f64 t y) #s(literal -1/3 binary64) (*.f64 y #s(literal 1/3 binary64))) |
(fma.f64 (neg.f64 t) (/.f64 #s(literal 1/3 binary64) y) (*.f64 y #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 t #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal 1/3 binary64))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 t y) (*.f64 y #s(literal 1/3 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 t #s(literal -1/3 binary64)) y) (*.f64 y #s(literal 1/3 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) t) y) (*.f64 y #s(literal 1/3 binary64))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 t #s(literal -1 binary64)) (*.f64 y #s(literal 1/3 binary64))) |
(fma.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (neg.f64 y)) (*.f64 y #s(literal 1/3 binary64))) |
(fma.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) y) (*.f64 y #s(literal 1/3 binary64))) |
(fma.f64 (/.f64 t #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) y) (*.f64 y #s(literal 1/3 binary64))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/27 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) t) y) (fma.f64 y #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) t) y)) (*.f64 (*.f64 y y) #s(literal 1/9 binary64)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/27 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y y) #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 t t) (*.f64 y y))) (*.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal -1/3 binary64)) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) t) y) (fma.f64 y #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) t) y)) (*.f64 (*.f64 y y) #s(literal 1/9 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/27 binary64)) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) t) y)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 t t) (*.f64 y y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) t) y) (fma.f64 y #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) t) y)) (*.f64 (*.f64 y y) #s(literal 1/9 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/27 binary64)) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) t) y)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 t t) (*.f64 y y))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 t t) (*.f64 y y)))) (fma.f64 y #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) t) y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 t t) (*.f64 y y)))) (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal -1/3 binary64)) y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/27 binary64)) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) t) y) (fma.f64 y #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) t) y)) (*.f64 (*.f64 y y) #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/27 binary64)) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 (*.f64 y y) #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 t t) (*.f64 y y))) (*.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal -1/3 binary64)) y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 t t) (*.f64 y y))))) (neg.f64 (fma.f64 y #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) t) y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 t t) (*.f64 y y))))) (neg.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal -1/3 binary64)) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/27 binary64)) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) t) y) (fma.f64 y #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) t) y)) (*.f64 (*.f64 y y) #s(literal 1/9 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 t t) (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 y #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) t) y))))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) t) y) (fma.f64 y #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) t) y)) (*.f64 (*.f64 y y) #s(literal 1/9 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/27 binary64)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) t) y)) (-.f64 (*.f64 (*.f64 y y) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 t t) (*.f64 y y))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1/27 binary64) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -1/27 binary64)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) t) y) (fma.f64 y #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) t) y)) (*.f64 (*.f64 y y) #s(literal 1/9 binary64))))) |
(*.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 t t) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 1/3 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) t) y)))) |
(+.f64 x (neg.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))) |
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(/.f64 (*.f64 t #s(literal -1/3 binary64)) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/3 binary64) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 #s(literal 1/3 binary64) t)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 #s(literal 1/3 binary64) t))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 #s(literal 1/3 binary64) t)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (*.f64 #s(literal 1/3 binary64) t)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) t) #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (*.f64 t #s(literal -1/3 binary64))) y) |
(/.f64 (/.f64 (*.f64 t #s(literal -1/3 binary64)) #s(literal -1 binary64)) y) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) t) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 t #s(literal -1/3 binary64)))) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 (*.f64 t #s(literal -1/3 binary64)) #s(literal -1 binary64))) (neg.f64 y)) |
(pow.f64 (/.f64 y (*.f64 #s(literal 1/3 binary64) t)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y (*.f64 #s(literal 1/3 binary64) t)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 t y)) |
(*.f64 t (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 (*.f64 #s(literal 1/3 binary64) t) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 t y) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 t (neg.f64 y)) #s(literal -1/3 binary64)) |
(*.f64 (*.f64 t #s(literal -1/3 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 t (neg.f64 y))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) t) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 #s(literal 1/3 binary64) t) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1/3 binary64) t)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) t)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) t) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (neg.f64 t) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (neg.f64 y))) |
(*.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) y)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) t) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 t #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 t #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) t) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y))) |
(neg.f64 y) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y))) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) y) |
Compiled 24 590 to 2 316 computations (90.6% saved)
20 alts after pruning (15 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 373 | 9 | 1 382 |
| Fresh | 7 | 6 | 13 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 381 | 20 | 1 401 |
| Status | Accuracy | Program |
|---|---|---|
| 63.8% | (fma.f64 #s(literal -1/3 binary64) (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) z) x) | |
| ▶ | 63.8% | (-.f64 x (/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) |
| ✓ | 63.7% | (-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) (*.f64 z #s(literal 3 binary64)))) |
| 63.7% | (-.f64 x (/.f64 #s(approx (- y (/ t y)) (*.f64 (/.f64 #s(literal -1 binary64) y) t)) (*.f64 z #s(literal 3 binary64)))) | |
| ✓ | 63.6% | (-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) |
| ▶ | 62.3% | #s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
| 35.9% | #s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) | |
| 34.9% | #s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) | |
| ▶ | 34.9% | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z))) |
| ▶ | 35.9% | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
| 63.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) | |
| 62.0% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t z) (*.f64 y x)) y)) | |
| 35.9% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 y z) #s(literal -3 binary64))) | |
| ▶ | 68.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
| 35.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- (/ t y) y) (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) | |
| ✓ | 36.0% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
| 35.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- (/ t y) y) (/.f64 t y)) z) #s(literal 1/3 binary64))) | |
| ✓ | 35.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y)))) |
| 35.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) #s(approx (- (/ t y) y) (/.f64 t y)))) | |
| ✓ | 35.9% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
Compiled 444 to 290 computations (34.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -1/3 binary64) t) y) | |
| cost-diff | 0 | #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z) | |
| cost-diff | 0 | (-.f64 x (/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) | |
| cost-diff | 0 | (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) | |
| cost-diff | 0 | #s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 t #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) | |
| cost-diff | 0 | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z))) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) (/.f64 y z)) | |
| cost-diff | 0 | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) | |
| cost-diff | 0 | (/.f64 t y) | |
| cost-diff | 0 | (-.f64 (/.f64 t y) y) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
| 2 224× | lower-fma.f32 |
| 2 222× | lower-fma.f64 |
| 1 216× | lower-*.f32 |
| 1 206× | lower-*.f64 |
| 752× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 220 |
| 0 | 59 | 220 |
| 1 | 110 | 216 |
| 2 | 235 | 208 |
| 3 | 476 | 208 |
| 4 | 1138 | 208 |
| 5 | 2565 | 208 |
| 6 | 3689 | 208 |
| 7 | 4349 | 208 |
| 8 | 4653 | 208 |
| 9 | 4688 | 208 |
| 10 | 4696 | 208 |
| 11 | 4795 | 208 |
| 12 | 4795 | 208 |
| 13 | 4947 | 208 |
| 14 | 5011 | 208 |
| 15 | 5011 | 208 |
| 16 | 5055 | 208 |
| 17 | 5211 | 208 |
| 18 | 5211 | 208 |
| 0 | 5211 | 204 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
(/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
#s(literal -1/3 binary64) |
(/.f64 y z) |
y |
z |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(*.f64 t #s(literal 1/3 binary64)) |
t |
#s(literal 1/3 binary64) |
(*.f64 y z) |
y |
z |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
t |
(/.f64 #s(literal 1/3 binary64) (*.f64 y z)) |
#s(literal 1/3 binary64) |
(*.f64 y z) |
y |
z |
x |
(-.f64 x (/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) |
x |
(/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z) |
#s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) t) y) |
(*.f64 #s(literal -1/3 binary64) t) |
#s(literal -1/3 binary64) |
t |
y |
z |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
(/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
#s(literal -1/3 binary64) |
(/.f64 y z) |
y |
z |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(*.f64 t #s(literal 1/3 binary64)) |
t |
#s(literal 1/3 binary64) |
(*.f64 y z) |
y |
z |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x)) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
t |
(/.f64 #s(literal 1/3 binary64) (*.f64 y z)) |
#s(literal 1/3 binary64) |
(*.f64 y z) |
y |
z |
x |
(-.f64 x (/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) |
(-.f64 x (/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 t #s(literal -1/3 binary64)) y)) z)) |
x |
(/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z) |
(/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 t #s(literal -1/3 binary64)) y)) z) |
#s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) |
#s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 t #s(literal -1/3 binary64)) y)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) t) y) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(*.f64 #s(literal -1/3 binary64) t) |
(*.f64 t #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
t |
y |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12109375 | (/.f64 (*.f64 #s(literal -1/3 binary64) t) y) | |
| accuracy | 0.29296875 | (*.f64 #s(literal -1/3 binary64) t) | |
| accuracy | 1.834759850686446 | (/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z) | |
| accuracy | 30.7692240301145 | #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) | |
| accuracy | 0 | (*.f64 y z) | |
| accuracy | 0.41104672781446194 | (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) | |
| accuracy | 2.9501735086724277 | (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) | |
| accuracy | 21.44806935918081 | #s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) | |
| accuracy | 0 | (*.f64 y z) | |
| accuracy | 0.29296875 | (*.f64 t #s(literal 1/3 binary64)) | |
| accuracy | 4.540988707933614 | (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) | |
| accuracy | 39.694061362135585 | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z))) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0.27734375 | (*.f64 #s(literal -1/3 binary64) (/.f64 y z)) | |
| accuracy | 40.93396682680335 | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) | |
| accuracy | 0 | (*.f64 z #s(literal 3 binary64)) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 t y) y) | |
| accuracy | 1.866009850686446 | (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) | |
| accuracy | 18.519564843908185 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
| 71.0ms | 256× | 0 | valid |
Compiled 172 to 36 computations (79.1% saved)
ival-div: 25.0ms (48.9% of total)ival-mult: 12.0ms (23.5% of total)ival-sub: 6.0ms (11.7% of total)const: 6.0ms (11.7% of total)ival-add: 2.0ms (3.9% 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 (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) (patch (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 t y) y) (patch (-.f64 (/.f64 t y) y) #<representation binary64>) () ()) |
#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (patch #s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/3 binary64) (/.f64 y z)) (patch (*.f64 #s(literal -1/3 binary64) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z))) (patch #s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) (patch (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) #<representation binary64>) () ()) |
#s(alt (*.f64 t #s(literal 1/3 binary64)) (patch (*.f64 t #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) (patch #s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) (patch (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) (patch (-.f64 x (/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z) (patch (/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) (patch #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal -1/3 binary64) t) y) (patch (/.f64 (*.f64 #s(literal -1/3 binary64) t) y) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/3 binary64) t) (patch (*.f64 #s(literal -1/3 binary64) t) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (* y (- (/ x y) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) (taylor 0 z) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) (taylor 0 z) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) (taylor 0 z) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) (taylor 0 z) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf z) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) (taylor inf y) (#s(alt #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) (patch #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/3 t) (taylor inf t) (#s(alt (*.f64 #s(literal -1/3 binary64) t) (patch (*.f64 #s(literal -1/3 binary64) t) #<representation binary64>) () ())) ()) |
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#s(alt (* -1/3 t) (taylor -inf t) (#s(alt (*.f64 #s(literal -1/3 binary64) t) (patch (*.f64 #s(literal -1/3 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 t) (taylor -inf t) (#s(alt (*.f64 #s(literal -1/3 binary64) t) (patch (*.f64 #s(literal -1/3 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 t) (taylor -inf t) (#s(alt (*.f64 #s(literal -1/3 binary64) t) (patch (*.f64 #s(literal -1/3 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 t) (taylor -inf t) (#s(alt (*.f64 #s(literal -1/3 binary64) t) (patch (*.f64 #s(literal -1/3 binary64) t) #<representation binary64>) () ())) ()) |
156 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | z | @ | inf | (/ 1/3 (* y z)) |
| 0.0ms | y | @ | 0 | (/ (* -1/3 t) y) |
| 0.0ms | z | @ | 0 | (/ 1/3 (* y z)) |
| 0.0ms | z | @ | -inf | (/ 1/3 (* y z)) |
| 0.0ms | t | @ | 0 | (/ (* -1/3 t) y) |
| 1× | egg-herbie |
| 8 204× | lower-fma.f64 |
| 8 204× | lower-fma.f32 |
| 4 658× | lower-*.f64 |
| 4 658× | lower-*.f32 |
| 1 466× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 198 | 4745 |
| 1 | 602 | 4745 |
| 2 | 1807 | 4564 |
| 3 | 6337 | 4429 |
| 0 | 8243 | 4205 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
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(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(+ x (* -1 (/ (- (* 1/3 y) (* 1/3 (/ t y))) z))) |
(+ x (* -1 (/ (- (* 1/3 y) (* 1/3 (/ t y))) z))) |
(+ x (* -1 (/ (- (* 1/3 y) (* 1/3 (/ t y))) z))) |
(* -1/3 (/ t (* y z))) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(* 1/3 (/ y z)) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* 1/3 (/ y z)) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* 1/3 (/ y z)) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(* -1/3 (/ t (* y z))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* -1/3 (/ t (* y z))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(* -1/3 (/ t y)) |
(/ (- (* 1/3 (pow y 2)) (* 1/3 t)) y) |
(/ (- (* 1/3 (pow y 2)) (* 1/3 t)) y) |
(/ (- (* 1/3 (pow y 2)) (* 1/3 t)) y) |
(* 1/3 y) |
(* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) |
(* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) |
(* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) |
(* 1/3 y) |
(* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) |
(* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) |
(* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) |
(* 1/3 y) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(* -1/3 (/ t y)) |
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) |
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) |
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) |
(* -1/3 (/ t y)) |
(* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) |
(* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) |
(* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* -1/3 (/ t y)) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* -1/3 t) |
(* -1/3 t) |
(* -1/3 t) |
(* -1/3 t) |
(* -1/3 t) |
(* -1/3 t) |
(* -1/3 t) |
(* -1/3 t) |
(* -1/3 t) |
(* -1/3 t) |
(* -1/3 t) |
(* -1/3 t) |
| Outputs |
|---|
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
x |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- x (* 1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 y (/.f64 y z) (/.f64 (neg.f64 t) z))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 y (/.f64 y z) (/.f64 (neg.f64 t) z))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 y (/.f64 y z) (/.f64 (neg.f64 t) z))) y) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1 y) |
(neg.f64 y) |
(- (/ t y) y) |
(-.f64 (/.f64 t y) y) |
(- (/ t y) y) |
(-.f64 (/.f64 t y) y) |
(- (/ t y) y) |
(-.f64 (/.f64 t y) y) |
(/ t y) |
(/.f64 t y) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(-.f64 (/.f64 t y) y) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(-.f64 (/.f64 t y) y) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(-.f64 (/.f64 t y) y) |
(/ t y) |
(/.f64 t y) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(-.f64 (/.f64 t y) y) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(-.f64 (/.f64 t y) y) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(-.f64 (/.f64 t y) y) |
(/ t y) |
(/.f64 t y) |
(/ (+ t (* -1 (pow y 2))) y) |
(-.f64 (/.f64 t y) y) |
(/ (+ t (* -1 (pow y 2))) y) |
(-.f64 (/.f64 t y) y) |
(/ (+ t (* -1 (pow y 2))) y) |
(-.f64 (/.f64 t y) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ t (pow y 2)) 1)) |
(-.f64 (/.f64 t y) y) |
(* y (- (/ t (pow y 2)) 1)) |
(-.f64 (/.f64 t y) y) |
(* y (- (/ t (pow y 2)) 1)) |
(-.f64 (/.f64 t y) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(-.f64 (/.f64 t y) y) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(-.f64 (/.f64 t y) y) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
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(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- x (* 1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
x |
(+ x (* -1 (/ (- (* 1/3 y) (* 1/3 (/ t y))) z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(+ x (* -1 (/ (- (* 1/3 y) (* 1/3 (/ t y))) z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(+ x (* -1 (/ (- (* 1/3 y) (* 1/3 (/ t y))) z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) (*.f64 y z)) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/.f64 (fma.f64 y (/.f64 (*.f64 #s(literal 1/3 binary64) y) z) (*.f64 t (/.f64 #s(literal -1/3 binary64) z))) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/.f64 (fma.f64 y (/.f64 (*.f64 #s(literal 1/3 binary64) y) z) (*.f64 t (/.f64 #s(literal -1/3 binary64) z))) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/.f64 (fma.f64 y (/.f64 (*.f64 #s(literal 1/3 binary64) y) z) (*.f64 t (/.f64 #s(literal -1/3 binary64) z))) y) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) (*.f64 y z)) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1/3 (/ t (* y z))) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) (*.f64 y z)) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/ (- (* 1/3 y) (* 1/3 (/ t y))) z) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(/ (- (* 1/3 (pow y 2)) (* 1/3 t)) y) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(/ (- (* 1/3 (pow y 2)) (* 1/3 t)) y) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(/ (- (* 1/3 (pow y 2)) (* 1/3 t)) y) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* 1/3 y) |
(*.f64 #s(literal 1/3 binary64) y) |
(* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* 1/3 y) |
(*.f64 #s(literal 1/3 binary64) y) |
(* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* 1/3 y) |
(*.f64 #s(literal 1/3 binary64) y) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 t y) y)) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* -1/3 t) |
(*.f64 t #s(literal -1/3 binary64)) |
(* -1/3 t) |
(*.f64 t #s(literal -1/3 binary64)) |
(* -1/3 t) |
(*.f64 t #s(literal -1/3 binary64)) |
(* -1/3 t) |
(*.f64 t #s(literal -1/3 binary64)) |
(* -1/3 t) |
(*.f64 t #s(literal -1/3 binary64)) |
(* -1/3 t) |
(*.f64 t #s(literal -1/3 binary64)) |
(* -1/3 t) |
(*.f64 t #s(literal -1/3 binary64)) |
(* -1/3 t) |
(*.f64 t #s(literal -1/3 binary64)) |
(* -1/3 t) |
(*.f64 t #s(literal -1/3 binary64)) |
(* -1/3 t) |
(*.f64 t #s(literal -1/3 binary64)) |
(* -1/3 t) |
(*.f64 t #s(literal -1/3 binary64)) |
(* -1/3 t) |
(*.f64 t #s(literal -1/3 binary64)) |
| 4 954× | lower-/.f32 |
| 4 940× | lower-/.f64 |
| 3 180× | lower-*.f32 |
| 3 170× | lower-*.f64 |
| 2 356× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 196 |
| 0 | 59 | 196 |
| 1 | 272 | 190 |
| 2 | 2937 | 190 |
| 0 | 8173 | 183 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
(/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
(/.f64 y z) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(*.f64 t #s(literal 1/3 binary64)) |
(*.f64 y z) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
(/.f64 #s(literal 1/3 binary64) (*.f64 y z)) |
(-.f64 x (/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) |
(/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z) |
#s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) t) y) |
(*.f64 z #s(literal 3 binary64)) |
(*.f64 #s(literal -1/3 binary64) t) |
| Outputs |
|---|
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
(+.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 z #s(literal 3 binary64)) (-.f64 (/.f64 t y) y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
(-.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 y (neg.f64 (*.f64 z #s(literal -3 binary64))))) |
(-.f64 (/.f64 y (*.f64 z #s(literal -3 binary64))) (/.f64 (/.f64 t y) (*.f64 z #s(literal -3 binary64)))) |
(-.f64 (/.f64 y (*.f64 z #s(literal -3 binary64))) (/.f64 (/.f64 (/.f64 t y) z) #s(literal -3 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal -3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal -3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 z))) (/.f64 (fma.f64 (/.f64 t y) #s(literal -1/3 binary64) (*.f64 y #s(literal 1/3 binary64))) (neg.f64 (neg.f64 z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z #s(literal -3 binary64))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal -3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal -3 binary64)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (+.f64 y (/.f64 t y))) (*.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 y y) (+.f64 y (/.f64 t y))) (*.f64 z #s(literal 3 binary64)))) |
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(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 y))) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) |
(neg.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) |
(/.f64 #s(literal -1/3 binary64) (/.f64 y t)) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (/.f64 y t))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) y) |
(/.f64 (*.f64 t #s(literal -1/3 binary64)) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 t #s(literal -1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (*.f64 t #s(literal 1/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 t #s(literal -1/3 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 t #s(literal -1/3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 t #s(literal 1/3 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 t #s(literal -1/3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 t #s(literal 1/3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (*.f64 t #s(literal -1/3 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 t #s(literal -1/3 binary64)) #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (*.f64 (*.f64 t #s(literal -1/3 binary64)) #s(literal 1 binary64))) (neg.f64 y)) |
(pow.f64 (/.f64 y (*.f64 t #s(literal -1/3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (/.f64 y (*.f64 t #s(literal 1/3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y (*.f64 t #s(literal -1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 t (neg.f64 (/.f64 #s(literal 1/3 binary64) y))) |
(*.f64 t (*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1 binary64) y))) |
(*.f64 t (/.f64 #s(literal -1/3 binary64) y)) |
(*.f64 (/.f64 t y) #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 t y)) |
(*.f64 (*.f64 t #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (*.f64 t #s(literal 1/3 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (neg.f64 t) (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 (*.f64 t #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 t #s(literal -1/3 binary64)) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 t #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1/3 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) |
(*.f64 z #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) z) |
(-.f64 #s(literal 0 binary64) (*.f64 t #s(literal 1/3 binary64))) |
(neg.f64 (*.f64 t #s(literal 1/3 binary64))) |
(*.f64 t #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) t) |
(*.f64 #s(literal 1/3 binary64) (neg.f64 t)) |
(*.f64 (neg.f64 t) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 t #s(literal 1/3 binary64))) |
Compiled 15 507 to 1 278 computations (91.8% saved)
17 alts after pruning (11 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 141 | 9 | 1 150 |
| Fresh | 8 | 2 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 3 | 5 |
| Total | 1 153 | 17 | 1 170 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 63.6% | (-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) |
| 63.6% | #s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) | |
| 62.3% | #s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) x)) | |
| 62.7% | #s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x)) | |
| 35.9% | #s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) | |
| 34.9% | #s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) | |
| 35.7% | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) z)) | |
| 38.7% | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)) | |
| ✓ | 34.9% | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z))) |
| 35.0% | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) | |
| 38.7% | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y))) | |
| 35.0% | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)))) | |
| ✓ | 35.9% | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
| 35.9% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 y z) #s(literal -3 binary64))) | |
| ✓ | 68.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
| ✓ | 36.0% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
| ✓ | 35.9% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
Compiled 722 to 259 computations (64.1% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z))) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 y z) #s(literal -3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- (/ t y) y) (/.f64 t y)) z) #s(literal 1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- (/ t y) y) (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) z)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
(-.f64 x (/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) z) x) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) x) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) #s(approx (- (/ t y) y) (/.f64 t y)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y))) |
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) (*.f64 z #s(literal 3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t z) (*.f64 y x)) y)) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 t y) y)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (fma.f64 (/.f64 #s(literal 1 binary64) y) t (neg.f64 y)))) |
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (*.f64 (/.f64 #s(literal -1 binary64) y) t)) (*.f64 z #s(literal 3 binary64)))) |
(-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) |
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 y #s(literal 3 binary64)) z))) |
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(+.f64 (-.f64 x (/.f64 (/.f64 y z) #s(literal 3 binary64))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(fma.f64 (/.f64 t (*.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(fma.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(*.f64 (fma.f64 (fma.f64 x x (/.f64 (*.f64 y y) (*.f64 z (*.f64 z #s(literal -9 binary64))))) (/.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) t) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x) (*.f64 z #s(literal 3 binary64))) (/.f64 y t)))) |
| Outputs |
|---|
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
6 calls:
| 33.0ms | z |
| 29.0ms | (*.f64 z #s(literal 3 binary64)) |
| 21.0ms | x |
| 13.0ms | y |
| 13.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 1 | x |
| 97.2% | 1 | y |
| 97.2% | 1 | z |
| 99.1% | 2 | t |
| 97.2% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 97.2% | 1 | (*.f64 z #s(literal 3 binary64)) |
Compiled 46 to 33 computations (28.3% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z))) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 y z) #s(literal -3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- (/ t y) y) (/.f64 t y)) z) #s(literal 1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- (/ t y) y) (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) z)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
(-.f64 x (/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) z) x) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) x) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) #s(approx (- (/ t y) y) (/.f64 t y)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y))) |
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) (*.f64 z #s(literal 3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t z) (*.f64 y x)) y)) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 t y) y)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (fma.f64 (/.f64 #s(literal 1 binary64) y) t (neg.f64 y)))) |
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (*.f64 (/.f64 #s(literal -1 binary64) y) t)) (*.f64 z #s(literal 3 binary64)))) |
(-.f64 x (/.f64 (-.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) z)) |
| Outputs |
|---|
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
4 calls:
| 43.0ms | z |
| 38.0ms | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 11.0ms | t |
| 11.0ms | (*.f64 z #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 1 | z |
| 97.2% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 97.2% | 1 | (*.f64 z #s(literal 3 binary64)) |
| 97.2% | 1 | t |
Compiled 36 to 25 computations (30.6% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z))) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 y z) #s(literal -3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- (/ t y) y) (/.f64 t y)) z) #s(literal 1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- (/ t y) y) (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) z)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
(-.f64 x (/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) z) x) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) x) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) #s(approx (- (/ t y) y) (/.f64 t y)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y))) |
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) (*.f64 z #s(literal 3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t z) (*.f64 y x)) y)) |
| Outputs |
|---|
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) x) |
6 calls:
| 44.0ms | z |
| 10.0ms | x |
| 10.0ms | (*.f64 z #s(literal 3 binary64)) |
| 10.0ms | t |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | x |
| 97.1% | 1 | y |
| 97.1% | 1 | t |
| 97.1% | 1 | z |
| 97.1% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 97.1% | 1 | (*.f64 z #s(literal 3 binary64)) |
Compiled 46 to 33 computations (28.3% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z))) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 y z) #s(literal -3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- (/ t y) y) (/.f64 t y)) z) #s(literal 1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- (/ t y) y) (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) z)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
(-.f64 x (/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) z) x) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)) |
6 calls:
| 42.0ms | t |
| 19.0ms | (*.f64 z #s(literal 3 binary64)) |
| 9.0ms | x |
| 9.0ms | y |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | x |
| 97.1% | 1 | y |
| 97.1% | 1 | t |
| 97.1% | 1 | z |
| 97.1% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 97.1% | 1 | (*.f64 z #s(literal 3 binary64)) |
Compiled 46 to 33 computations (28.3% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z))) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 y z) #s(literal -3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- (/ t y) y) (/.f64 t y)) z) #s(literal 1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- (/ t y) y) (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) z)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
(-.f64 x (/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(approx (- y (/ t y)) (/.f64 t (neg.f64 y))) z) x) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(-.f64 x (/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
6 calls:
| 18.0ms | (*.f64 z #s(literal 3 binary64)) |
| 16.0ms | t |
| 10.0ms | x |
| 9.0ms | y |
| 8.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 4 | x |
| 93.1% | 3 | y |
| 79.7% | 3 | t |
| 85.5% | 3 | z |
| 82.3% | 3 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 85.5% | 3 | (*.f64 z #s(literal 3 binary64)) |
Compiled 46 to 33 computations (28.3% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z))) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 y z) #s(literal -3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- (/ t y) y) (/.f64 t y)) z) #s(literal 1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- (/ t y) y) (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) z)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
1 calls:
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 3 | y |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z))) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 y z) #s(literal -3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.7% | 3 | y |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z))) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 y z) #s(literal -3 binary64))) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
5 calls:
| 7.0ms | x |
| 6.0ms | y |
| 5.0ms | z |
| 5.0ms | (*.f64 z #s(literal 3 binary64)) |
| 5.0ms | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.6% | 2 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 63.6% | 1 | x |
| 63.6% | 1 | z |
| 63.6% | 1 | (*.f64 z #s(literal 3 binary64)) |
| 80.1% | 3 | y |
Compiled 41 to 29 computations (29.3% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)))) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 3 | y |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.0% | 3 | y |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(-.f64 x #s(approx (/ (- y (/ t y)) (* z 3)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) z))) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
3 calls:
| 5.0ms | y |
| 3.0ms | t |
| 3.0ms | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.6% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 63.6% | 1 | t |
| 63.6% | 1 | y |
Compiled 29 to 19 computations (34.5% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
6 calls:
| 6.0ms | x |
| 3.0ms | t |
| 3.0ms | z |
| 3.0ms | (*.f64 z #s(literal 3 binary64)) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.0% | 1 | x |
| 36.0% | 1 | y |
| 36.0% | 1 | z |
| 36.0% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 36.0% | 1 | (*.f64 z #s(literal 3 binary64)) |
| 36.0% | 1 | t |
Compiled 46 to 33 computations (28.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
6 calls:
| 1.0ms | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 1.0ms | (*.f64 z #s(literal 3 binary64)) |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.9% | 1 | y |
| 35.9% | 1 | z |
| 35.9% | 1 | (*.f64 z #s(literal 3 binary64)) |
| 35.9% | 1 | x |
| 35.9% | 1 | t |
| 35.9% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
Compiled 46 to 33 computations (28.3% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 9.0ms | -1.7626274921848872e+35 | -9.775264959619904e+29 |
| 6.0ms | 96× | 0 | valid |
Compiled 226 to 156 computations (31% saved)
ival-div: 1.0ms (29.6% of total)ival-mult: 1.0ms (29.6% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 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 |
|---|---|---|
| 12.0ms | 5.401663388385655e+48 | 2.9599253241932055e+53 |
| 23.0ms | -17147700545.31449 | -16932720.460713223 |
| 15.0ms | 256× | 0 | valid |
Compiled 454 to 306 computations (32.6% saved)
ival-div: 3.0ms (33.5% of total)ival-mult: 3.0ms (33.5% of total)ival-sub: 1.0ms (11.2% of total)ival-add: 1.0ms (11.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.401663388385655e+48 | 2.9599253241932055e+53 |
| 1.0ms | -17147700545.31449 | -16932720.460713223 |
Compiled 438 to 290 computations (33.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 5.401663388385655e+48 | 2.9599253241932055e+53 |
| 1.0ms | -17147700545.31449 | -16932720.460713223 |
Compiled 438 to 290 computations (33.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.0062511039291097e-54 | 1.0906482401300954e-51 |
| 17.0ms | -8.987718133419908e-120 | -7.476712869067835e-145 |
| 20.0ms | 304× | 0 | valid |
Compiled 497 to 341 computations (31.4% saved)
ival-div: 4.0ms (36.8% of total)ival-mult: 4.0ms (36.8% of total)ival-sub: 1.0ms (9.2% of total)ival-add: 1.0ms (9.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.0062511039291097e-54 | 1.0906482401300954e-51 |
| 1.0ms | -8.987718133419908e-120 | -7.476712869067835e-145 |
Compiled 497 to 341 computations (31.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 1.0062511039291097e-54 | 1.0906482401300954e-51 |
| 1.0ms | -8.987718133419908e-120 | -7.476712869067835e-145 |
Compiled 497 to 341 computations (31.4% saved)
| 1× | egg-herbie |
| 292× | distribute-lft-neg-in_binary64 |
| 284× | unsub-neg_binary64 |
| 240× | neg-mul-1_binary64 |
| 158× | cancel-sign-sub_binary64 |
| 148× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 573 |
| 1 | 105 | 573 |
| 2 | 130 | 573 |
| 3 | 156 | 573 |
| 4 | 189 | 573 |
| 5 | 231 | 573 |
| 6 | 297 | 573 |
| 7 | 456 | 573 |
| 8 | 738 | 573 |
| 9 | 938 | 573 |
| 10 | 1031 | 573 |
| 11 | 1114 | 573 |
| 12 | 1146 | 573 |
| 13 | 1180 | 573 |
| 14 | 1191 | 573 |
| 15 | 1192 | 573 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 t #s(literal -9999999999999999455752309870428160 binary64)) (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) x) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)) |
(if (<=.f64 y #s(literal -12200000000 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 5500000000000000160022498333312403754698256941056 binary64)) (-.f64 x (/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
(if (<=.f64 y #s(literal -12200000000 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 5500000000000000160022498333312403754698256941056 binary64)) #s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
(if (<=.f64 y #s(literal -12200000000 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 5500000000000000160022498333312403754698256941056 binary64)) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
(if (<=.f64 y #s(literal -8782537673408677/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 6211571712111507/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
(if (<=.f64 y #s(literal -8782537673408677/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 6211571712111507/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
(if (<=.f64 y #s(literal -8782537673408677/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 6211571712111507/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
| Outputs |
|---|
(if (<=.f64 t #s(literal -9999999999999999455752309870428160 binary64)) (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))) |
(if (<=.f64 t #s(literal -9999999999999999455752309870428160 binary64)) (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) (+.f64 x (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))))) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) x) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)) |
(if (<=.f64 y #s(literal -12200000000 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 5500000000000000160022498333312403754698256941056 binary64)) (-.f64 x (/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
(if (<=.f64 y #s(literal -12200000000 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 5500000000000000160022498333312403754698256941056 binary64)) (-.f64 x (/.f64 #s(approx (- (* y 1/3) (/ (* t 1/3) y)) (/.f64 (*.f64 t #s(literal -1/3 binary64)) y)) z)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
(if (<=.f64 y #s(literal -12200000000 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 5500000000000000160022498333312403754698256941056 binary64)) #s(approx (- x (/ (- (* y 1/3) (/ (* t 1/3) y)) z)) (fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
(if (<=.f64 y #s(literal -12200000000 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 5500000000000000160022498333312403754698256941056 binary64)) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
(if (<=.f64 y #s(literal -8782537673408677/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 6211571712111507/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
(if (<=.f64 y #s(literal -8782537673408677/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 6211571712111507/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
(if (<=.f64 y #s(literal -8782537673408677/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 6211571712111507/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
(if (<=.f64 y #s(literal -8782537673408677/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 6211571712111507/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
(if (<=.f64 y #s(literal -8782537673408677/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (if (<=.f64 y #s(literal 6211571712111507/1725436586697640946858688965569256363112777243042596638790631055949824 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
| 14 508× | lower-fma.f64 |
| 14 508× | lower-fma.f32 |
| 10 462× | lower-fma.f64 |
| 10 462× | lower-fma.f32 |
| 10 320× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 196 |
| 0 | 59 | 196 |
| 1 | 272 | 190 |
| 2 | 2937 | 190 |
| 0 | 8173 | 183 |
| 0 | 204 | 5218 |
| 1 | 589 | 5158 |
| 2 | 1688 | 4968 |
| 3 | 5518 | 4746 |
| 0 | 8675 | 4504 |
| 0 | 35 | 171 |
| 0 | 58 | 164 |
| 1 | 259 | 156 |
| 2 | 2553 | 156 |
| 0 | 9044 | 151 |
| 0 | 192 | 5348 |
| 1 | 582 | 5288 |
| 2 | 1742 | 5089 |
| 3 | 5715 | 4624 |
| 0 | 8254 | 4430 |
| 0 | 102 | 1412 |
| 1 | 307 | 1322 |
| 2 | 875 | 1322 |
| 3 | 2795 | 1262 |
| 4 | 6348 | 1262 |
| 0 | 8216 | 1196 |
| 0 | 198 | 4745 |
| 1 | 602 | 4745 |
| 2 | 1807 | 4564 |
| 3 | 6337 | 4429 |
| 0 | 8243 | 4205 |
| 0 | 11 | 42 |
| 0 | 17 | 42 |
| 1 | 69 | 42 |
| 2 | 861 | 38 |
| 0 | 9318 | 37 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 779 to 368 computations (52.8% saved)
Compiled 610 to 168 computations (72.5% saved)
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