
Time bar (total: 10.3s)
| 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)
| 971.0ms | 8 256× | 0 | valid |
ival-div: 296.0ms (46.2% of total)ival-mult: 185.0ms (28.9% of total)ival-add: 73.0ms (11.4% of total)ival-sub: 70.0ms (10.9% of total)ival-true: 7.0ms (1.1% of total)exact: 5.0ms (0.8% of total)ival-assert: 4.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 25 | 0 | - | 7 | (-1967142348.147666 2.0503348847393553e-287 3.052843028510326e-36 -1.0637943355765275e-38) | (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) |
| 1 | 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 | 9 | 0 |
| ↳ | (*.f64 (*.f64 z #s(literal 3 binary64)) y) | underflow | 30 | |
/.f64 | (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) | n/o | 2 | 0 |
| ↳ | (*.f64 (*.f64 z #s(literal 3 binary64)) y) | overflow | 35 | |
+.f64 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) | nan-rescue | 1 | 0 |
| ↳ | (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) | overflow | 37 | |
| ↳ | (/.f64 y (*.f64 z #s(literal 3 binary64))) | overflow | 37 | |
| ↳ | (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) | overflow | 43 | |
| ↳ | (*.f64 (*.f64 z #s(literal 3 binary64)) y) | overflow | 35 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 12 | 4 |
| - | 0 | 240 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 12 | 0 | 4 |
| - | 0 | 0 | 240 |
| number | freq |
|---|---|
| 0 | 244 |
| 1 | 12 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 43.0ms | 512× | 0 | valid |
Compiled 113 to 37 computations (67.3% saved)
ival-mult: 11.0ms (45.8% of total)ival-div: 7.0ms (29.1% of total)ival-sub: 2.0ms (8.3% of total)ival-add: 2.0ms (8.3% 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 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x) |
Compiled 15 to 11 computations (26.7% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.8% | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
Compiled 15 to 11 computations (26.7% 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 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x) |
(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y x) |
x |
(/.f64 y (*.f64 z #s(literal 3 binary64))) |
(/.f64 y (*.f64 #s(literal 3 binary64) z)) |
y |
(*.f64 z #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) z) |
z |
#s(literal 3 binary64) |
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) |
(/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)) |
t |
(*.f64 (*.f64 z #s(literal 3 binary64)) y) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.14453125 | (*.f64 (*.f64 z #s(literal 3 binary64)) y) | |
| accuracy | 0.23828125 | (/.f64 y (*.f64 z #s(literal 3 binary64))) | |
| accuracy | 0.2539041858302058 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) | |
| accuracy | 4.7311181635851165 | (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) |
| 19.0ms | 256× | 0 | valid |
Compiled 49 to 13 computations (73.5% saved)
ival-div: 4.0ms (41.9% of total)ival-mult: 3.0ms (31.4% of total)ival-sub: 1.0ms (10.5% of total)ival-add: 1.0ms (10.5% 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 (- x (* 1/3 (/ y z))) (taylor 0 t) (#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 t) (#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 t) (#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 t) (#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 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 (-.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 (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#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 (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#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 (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#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 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>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf t) (#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 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) (taylor -inf t) (#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 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) (taylor -inf t) (#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 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) (taylor -inf t) (#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 -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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (* -1/3 (/ y z)) (taylor 0 z) (#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 (/ (- (* x z) (* 1/3 y)) z) (taylor 0 z) (#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 (/ (- (* x z) (* 1/3 y)) z) (taylor 0 z) (#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>) () ())) ()) |
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#s(alt (* 1/3 (/ y z)) (taylor 0 z) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* y (- (/ x y) (* 1/3 (/ 1 z)))) (taylor inf y) (#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 (* y (- (/ x y) (* 1/3 (/ 1 z)))) (taylor inf y) (#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 (* y (- (/ x y) (* 1/3 (/ 1 z)))) (taylor inf y) (#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 (* 1/3 (/ y z)) (taylor inf y) (#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 y) (#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 y) (#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 y) (#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 (/ 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 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 (* -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 (/ y z)) (taylor -inf y) (#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>) () ())) ()) |
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#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#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>) () ())) ()) |
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#s(alt (* 1/3 (/ y z)) (taylor -inf y) (#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 y) (#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 y) (#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 y) (#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 (/ 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 -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 (- (* 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 (* -1/3 (/ y z)) (taylor 0 x) (#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 (- x (* 1/3 (/ y z))) (taylor 0 x) (#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 (- x (* 1/3 (/ y z))) (taylor 0 x) (#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>) () ())) ()) |
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#s(alt x (taylor inf x) (#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>) () ())) ()) |
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#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 x (taylor -inf x) (#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 (* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) (taylor -inf x) (#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>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | ((+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (- x (/ y (* z 3))) (/ y (* z 3)) (* z 3) (/ t (* (* z 3) y)) (* (* z 3) y)) |
| 3.0ms | z | @ | 0 | ((+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (- x (/ y (* z 3))) (/ y (* z 3)) (* z 3) (/ t (* (* z 3) y)) (* (* z 3) y)) |
| 2.0ms | z | @ | -inf | ((+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (- x (/ y (* z 3))) (/ y (* z 3)) (* z 3) (/ t (* (* z 3) y)) (* (* z 3) y)) |
| 2.0ms | t | @ | inf | ((+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (- x (/ y (* z 3))) (/ y (* z 3)) (* z 3) (/ t (* (* z 3) y)) (* (* z 3) y)) |
| 2.0ms | y | @ | inf | ((+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (- x (/ y (* z 3))) (/ y (* z 3)) (* z 3) (/ t (* (* z 3) y)) (* (* 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 | 1348 |
| 1 | 307 | 1262 |
| 2 | 876 | 1262 |
| 3 | 2799 | 1262 |
| 4 | 6352 | 1262 |
| 0 | 8213 | 1196 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 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))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* 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))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y 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 z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* 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) |
(* -1/3 (/ y z)) |
(/ (- (* x z) (* 1/3 y)) z) |
(/ (- (* x z) (* 1/3 y)) z) |
(/ (- (* x 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) |
(* 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)) |
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 (* -1/3 (/ 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)) |
(* 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))) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 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 |
(+ 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)) |
(* 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))) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* 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) |
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 (/ 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)) |
(* -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)) |
(* 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)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ 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)) |
(* -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 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 z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ 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)) |
(- (* 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))) |
(* -1/3 (/ y z)) |
(- x (* 1/3 (/ y z))) |
(- x (* 1/3 (/ y z))) |
(- x (* 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 |
(* 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 (/ (- (* 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))) |
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))) |
| Outputs |
|---|
(- 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 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) t) (/.f64 #s(literal -1/3 binary64) (*.f64 z y))) t) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) t) (/.f64 #s(literal -1/3 binary64) (*.f64 z y))) t) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) t) (/.f64 #s(literal -1/3 binary64) (*.f64 z y))) t) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) t) (/.f64 #s(literal -1/3 binary64) (*.f64 z y))) t) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) t) (/.f64 #s(literal -1/3 binary64) (*.f64 z y))) t) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) t) (/.f64 #s(literal -1/3 binary64) (*.f64 z y))) t) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1/3 (/ y z)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
(/ (- (* x z) (* 1/3 y)) z) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(/ (- (* x z) (* 1/3 y)) z) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(/ (- (* x z) (* 1/3 y)) z) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 3 z) |
(*.f64 #s(literal 3 binary64) z) |
(* 3 z) |
(*.f64 #s(literal 3 binary64) z) |
(* 3 z) |
(*.f64 #s(literal 3 binary64) z) |
(* 3 z) |
(*.f64 #s(literal 3 binary64) z) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
x |
(+ x (* -1/3 (/ y z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 3 z) |
(*.f64 #s(literal 3 binary64) z) |
(* 3 z) |
(*.f64 #s(literal 3 binary64) z) |
(* 3 z) |
(*.f64 #s(literal 3 binary64) z) |
(* 3 z) |
(*.f64 #s(literal 3 binary64) z) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
x |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
x |
(+ x (* -1/3 (/ y z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 3 z) |
(*.f64 #s(literal 3 binary64) z) |
(* 3 z) |
(*.f64 #s(literal 3 binary64) z) |
(* 3 z) |
(*.f64 #s(literal 3 binary64) z) |
(* 3 z) |
(*.f64 #s(literal 3 binary64) z) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) y)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) y)) y) |
x |
(+ x (* -1/3 (/ y z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(* -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 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) 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 (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(* -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 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) 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 y)) (* 1/3 (/ 1 z))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(* 3 (* y z)) |
(*.f64 (*.f64 #s(literal 3 binary64) z) y) |
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1/3 (/ y z)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
(- x (* 1/3 (/ y z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(- x (* 1/3 (/ y z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(- x (* 1/3 (/ y z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x) |
x |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x) |
x |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
| 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 |
|---|
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Compiled 13 304 to 1 076 computations (91.9% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 535 | 13 | 548 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 536 | 13 | 549 |
| Status | Accuracy | Program |
|---|---|---|
| 95.4% | (fma.f64 (/.f64 t y) (/.f64 #s(literal 1/3 binary64) z) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) | |
| 95.2% | (fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))) | |
| ▶ | 96.1% | (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) |
| ▶ | 94.8% | (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 94.4% | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y))) | |
| 94.7% | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z y) #s(literal 3 binary64)))) | |
| ▶ | 72.1% | (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 95.4% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)) | |
| 64.5% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) | |
| 55.5% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) | |
| ▶ | 72.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) |
| 35.2% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) | |
| ▶ | 40.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
Compiled 300 to 276 computations (8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 y #s(literal 1/3 binary64)) z) | |
| cost-diff | 128 | (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) | |
| cost-diff | 640 | (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) | |
| cost-diff | 0 | (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) | |
| 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 (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) | |
| cost-diff | 0 | (-.f64 y (/.f64 t y)) | |
| cost-diff | 0 | (/.f64 (-.f64 y (/.f64 t y)) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) | |
| 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 (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y 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 #s(literal 3 binary64) z)) | |
| cost-diff | 128 | (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) |
| 2 288× | lower-fma.f64 |
| 2 288× | lower-fma.f32 |
| 1 184× | lower-*.f32 |
| 1 172× | lower-*.f64 |
| 592× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 234 |
| 0 | 51 | 230 |
| 1 | 92 | 222 |
| 2 | 181 | 222 |
| 3 | 343 | 222 |
| 4 | 774 | 222 |
| 5 | 1895 | 222 |
| 6 | 3712 | 222 |
| 7 | 4137 | 222 |
| 8 | 4307 | 222 |
| 9 | 4368 | 222 |
| 10 | 4375 | 222 |
| 11 | 4375 | 222 |
| 12 | 4423 | 222 |
| 13 | 4423 | 222 |
| 14 | 4423 | 222 |
| 15 | 4459 | 222 |
| 16 | 4627 | 222 |
| 17 | 4627 | 222 |
| 0 | 4627 | 214 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) |
x |
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)) |
(-.f64 y (/.f64 t y)) |
y |
(/.f64 t y) |
t |
(*.f64 #s(literal 3 binary64) z) |
#s(literal 3 binary64) |
z |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.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 (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(/.f64 (-.f64 y (/.f64 t y)) z) |
(-.f64 y (/.f64 t y)) |
y |
(/.f64 t y) |
t |
z |
#s(literal -1/3 binary64) |
(+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
#s(approx (- x (/ 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 |
(/.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)) |
#s(literal 3 binary64) |
(+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) |
x |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) z) |
(*.f64 y #s(literal 1/3 binary64)) |
y |
#s(literal 1/3 binary64) |
z |
(/.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)) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) |
(fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x) |
x |
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)) |
(*.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal -1/3 binary64) z)) |
(-.f64 y (/.f64 t y)) |
y |
(/.f64 t y) |
t |
(*.f64 #s(literal 3 binary64) z) |
(*.f64 z #s(literal 3 binary64)) |
#s(literal 3 binary64) |
z |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.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 -1/3 binary64))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(/.f64 y z) |
y |
z |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(/.f64 (-.f64 y (/.f64 t y)) z) |
(-.f64 y (/.f64 t y)) |
y |
(/.f64 t y) |
t |
z |
#s(literal -1/3 binary64) |
(+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) y) z) t #s(approx (- x (/ y (* z 3))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64)))) |
#s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ y (* z 3))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(/.f64 y z) |
y |
z |
(/.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)) |
#s(literal 3 binary64) |
(+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x) |
(-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y x) |
x |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) z) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) y) |
(*.f64 y #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) y) |
y |
#s(literal 1/3 binary64) |
z |
(/.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)) |
#s(literal 3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.14453125 | (*.f64 (*.f64 z #s(literal 3 binary64)) y) | |
| accuracy | 0.2539041858302058 | (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) | |
| accuracy | 0.35546875 | (*.f64 y #s(literal 1/3 binary64)) | |
| accuracy | 4.7311181635851165 | (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) | |
| accuracy | 0.2539041858302058 | (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) | |
| accuracy | 0.44425771870105574 | (*.f64 #s(literal -1/3 binary64) (/.f64 y z)) | |
| accuracy | 4.7311181635851165 | (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) | |
| accuracy | 27.391950629702727 | #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) | |
| accuracy | 0 | (-.f64 y (/.f64 t y)) | |
| accuracy | 0.644657183653784 | (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) | |
| accuracy | 2.4348635545108794 | (/.f64 (-.f64 y (/.f64 t y)) z) | |
| accuracy | 15.304599775112626 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0.44425771870105574 | (*.f64 #s(literal -1/3 binary64) (/.f64 y z)) | |
| accuracy | 37.76513460867103 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) | |
| accuracy | 0 | (-.f64 y (/.f64 t y)) | |
| accuracy | 0 | (*.f64 #s(literal 3 binary64) z) | |
| accuracy | 0.0078125 | (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) | |
| accuracy | 2.586028056594298 | (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)) |
| 160.0ms | 256× | 0 | valid |
Compiled 208 to 28 computations (86.5% saved)
ival-sub: 55.0ms (58.5% of total)ival-div: 12.0ms (12.8% of total)ival-mult: 12.0ms (12.8% of total)const: 12.0ms (12.8% of total)ival-add: 2.0ms (2.1% 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 #s(literal 3 binary64) z))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)) #<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 #s(literal -1/3 binary64) (/.f64 y z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.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 (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 y (/.f64 t y)) z) (patch (/.f64 (-.f64 y (/.f64 t y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (patch #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) #<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 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (patch (-.f64 x (/.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 (*.f64 y #s(literal 1/3 binary64)) (patch (*.f64 y #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 3 binary64) z) (patch (*.f64 #s(literal 3 binary64) z) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.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 (- x (* 1/3 (/ y z))) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) #<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 #s(literal 3 binary64) z))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) #<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 #s(literal 3 binary64) z))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) #<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 #s(literal 3 binary64) z))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ y z)) (taylor 0 t) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 t) (#s(alt (-.f64 y (/.f64 t y)) (patch (-.f64 y (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (/ t y))) (taylor 0 t) (#s(alt (-.f64 y (/.f64 t y)) (patch (-.f64 y (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (/ t y))) (taylor 0 t) (#s(alt (-.f64 y (/.f64 t y)) (patch (-.f64 y (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (/ t y))) (taylor 0 t) (#s(alt (-.f64 y (/.f64 t y)) (patch (-.f64 y (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ y z)) (taylor 0 t) (#s(alt (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 t) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) z) (patch (/.f64 (-.f64 y (/.f64 t y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ t (* y z))) (/ y z)) (taylor 0 t) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) z) (patch (/.f64 (-.f64 y (/.f64 t y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ t (* y z))) (/ y z)) (taylor 0 t) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) z) (patch (/.f64 (-.f64 y (/.f64 t y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ t (* y z))) (/ y z)) (taylor 0 t) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) z) (patch (/.f64 (-.f64 y (/.f64 t y)) z) #<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 (- x (* 1/3 (/ y z))) (taylor 0 t) (#s(alt (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.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 t) (#s(alt (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.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 t) (#s(alt (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.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 t) (#s(alt (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 1/3 (/ y z))) (taylor 0 t) (#s(alt (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.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 t) (#s(alt (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.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 t) (#s(alt (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.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 t) (#s(alt (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.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 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.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 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | ((- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (- y (/ t y)) (/ t y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* -1/3 (/ y z)) (/ y z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (- x (/ y (* z 3))) (/ t (* (* z 3) y)) (+ (- x (/ (* y 1/3) z)) (/ t (* (* z 3) y))) (- x (/ (* y 1/3) z)) (/ (* y 1/3) z) (* y 1/3) (* 3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (* z 3) y)) |
| 5.0ms | z | @ | inf | ((- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (- y (/ t y)) (/ t y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* -1/3 (/ y z)) (/ y z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (- x (/ y (* z 3))) (/ t (* (* z 3) y)) (+ (- x (/ (* y 1/3) z)) (/ t (* (* z 3) y))) (- x (/ (* y 1/3) z)) (/ (* y 1/3) z) (* y 1/3) (* 3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (* z 3) y)) |
| 4.0ms | t | @ | -inf | ((- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (- y (/ t y)) (/ t y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* -1/3 (/ y z)) (/ y z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (- x (/ y (* z 3))) (/ t (* (* z 3) y)) (+ (- x (/ (* y 1/3) z)) (/ t (* (* z 3) y))) (- x (/ (* y 1/3) z)) (/ (* y 1/3) z) (* y 1/3) (* 3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (* z 3) y)) |
| 4.0ms | z | @ | -inf | ((- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (- y (/ t y)) (/ t y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* -1/3 (/ y z)) (/ y z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (- x (/ y (* z 3))) (/ t (* (* z 3) y)) (+ (- x (/ (* y 1/3) z)) (/ t (* (* z 3) y))) (- x (/ (* y 1/3) z)) (/ (* y 1/3) z) (* y 1/3) (* 3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (* z 3) y)) |
| 3.0ms | y | @ | -inf | ((- x (/ (- y (/ t y)) (* 3 z))) (/ (- y (/ t y)) (* 3 z)) (- y (/ t y)) (/ t y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* -1/3 (/ y z)) (/ y z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (- x (/ y (* z 3))) (/ t (* (* z 3) y)) (+ (- x (/ (* y 1/3) z)) (/ t (* (* z 3) y))) (- x (/ (* y 1/3) z)) (/ (* y 1/3) z) (* y 1/3) (* 3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (* z 3) y)) |
| 1× | egg-herbie |
| 13 512× | lower-fma.f64 |
| 13 512× | lower-fma.f32 |
| 4 304× | lower-*.f64 |
| 4 304× | lower-*.f32 |
| 1 962× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 5274 |
| 1 | 563 | 4678 |
| 2 | 1711 | 4662 |
| 3 | 5465 | 4602 |
| 0 | 8783 | 4360 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 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 (/ 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))) |
y |
(+ y (* -1 (/ t y))) |
(+ y (* -1 (/ t y))) |
(+ y (* -1 (/ t y))) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(- 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))) |
(- 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 (/ 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)))) |
(/ y z) |
(+ (* -1 (/ t (* y z))) (/ y z)) |
(+ (* -1 (/ t (* y z))) (/ y z)) |
(+ (* -1 (/ t (* y z))) (/ y z)) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* 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))) |
(- 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))) |
(* 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 (/ t y)) |
(* t (- (/ y t) (/ 1 y))) |
(* t (- (/ y t) (/ 1 y))) |
(* t (- (/ y t) (/ 1 y))) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(* 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))) |
(* 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))) |
(* 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 (/ t (* y z))) |
(* t (- (/ y (* t z)) (/ 1 (* y z)))) |
(* t (- (/ y (* t z)) (/ 1 (* y z)))) |
(* t (- (/ y (* t z)) (/ 1 (* 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))) |
(* 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))) |
(* 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 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 (/ 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) |
(* 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 (* 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 (* 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 (/ t (* y z))) |
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (* y z))))) |
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (* y z))))) |
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (* 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 (* 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 (* 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) |
(* 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 (/ 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) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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) |
(* -1/3 (/ (- y (/ t y)) z)) |
(* -1/3 (/ (- y (/ t y)) z)) |
(* -1/3 (/ (- y (/ t y)) z)) |
(* -1/3 (/ (- y (/ t y)) z)) |
(/ (- y (/ t y)) z) |
(/ (- y (/ t y)) z) |
(/ (- y (/ t y)) z) |
(/ (- y (/ t y)) z) |
(* -1/3 (/ y z)) |
(/ (- (* x z) (* 1/3 y)) z) |
(/ (- (* x z) (* 1/3 y)) z) |
(/ (- (* x z) (* 1/3 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)) (* 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) |
(* -1/3 (/ y z)) |
(/ (- (* x z) (* 1/3 y)) z) |
(/ (- (* x z) (* 1/3 y)) z) |
(/ (- (* x 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) |
(/ (- (* 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) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* 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 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t 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))) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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))) |
(* -1/3 (/ (- y (/ t y)) z)) |
(* -1/3 (/ (- y (/ t y)) z)) |
(* -1/3 (/ (- y (/ t y)) z)) |
(* -1/3 (/ (- y (/ t y)) z)) |
(/ (- y (/ t y)) z) |
(/ (- y (/ t y)) z) |
(/ (- y (/ t y)) z) |
(/ (- y (/ t y)) z) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* 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 (* -1/3 (/ 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)) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 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))) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* 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 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ 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 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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 (/ t y)) z)) |
(* -1/3 (/ (- y (/ t y)) z)) |
(* -1/3 (/ (- y (/ t y)) z)) |
(* -1/3 (/ (- y (/ t y)) z)) |
(/ (- y (/ t y)) z) |
(/ (- y (/ t y)) z) |
(/ (- y (/ t y)) z) |
(/ (- y (/ t y)) z) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* 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))) |
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)) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 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))) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 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 (/ 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 (/ t y)) |
(/ (- (pow y 2) t) y) |
(/ (- (pow y 2) t) y) |
(/ (- (pow y 2) t) y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(* 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)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ 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 (/ 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 (/ t (* y z))) |
(/ (+ (* -1 (/ t z)) (/ (pow y 2) z)) y) |
(/ (+ (* -1 (/ t z)) (/ (pow y 2) z)) y) |
(/ (+ (* -1 (/ t z)) (/ (pow y 2) z)) y) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ 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 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) |
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) |
(* 1/3 y) |
(* 1/3 y) |
(* 1/3 y) |
(* 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) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* -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)) |
(* 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)))) |
y |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t 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)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* -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)) |
(* 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)))) |
(/ y z) |
(* y (+ (* -1 (/ t (* (pow y 2) z))) (/ 1 z))) |
(* y (+ (* -1 (/ t (* (pow y 2) z))) (/ 1 z))) |
(* y (+ (* -1 (/ t (* (pow y 2) z))) (/ 1 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 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* -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)) |
(* 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)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 y) |
(* 1/3 y) |
(* 1/3 y) |
(* 1/3 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)))) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y 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 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))))) |
y |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(* -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 z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y 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 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))))) |
(/ y z) |
(* -1 (* y (- (/ t (* (pow y 2) z)) (/ 1 z)))) |
(* -1 (* y (- (/ t (* (pow y 2) z)) (/ 1 z)))) |
(* -1 (* y (- (/ t (* (pow y 2) z)) (/ 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 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y 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 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 z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 y) |
(* 1/3 y) |
(* 1/3 y) |
(* 1/3 y) |
(* -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))))) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y 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))) |
(- (* 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))) |
(- (* 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))) |
(* -1/3 (/ y z)) |
(- x (* 1/3 (/ y z))) |
(- x (* 1/3 (/ y z))) |
(- x (* 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))) |
(* -1/3 (/ y z)) |
(- x (* 1/3 (/ y z))) |
(- x (* 1/3 (/ y z))) |
(- x (* 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 (/ (- y (/ t y)) (* x z))))) |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x 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 |
(* 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 |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(* x (+ 1 (* -1/3 (/ y (* x 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 |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(* x (+ 1 (* -1/3 (/ y (* x 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 (- (* 1/3 (/ (- 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))) |
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))) |
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))) |
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 |
(* -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))) |
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 |
(* -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))) |
| Outputs |
|---|
(- 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 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* 1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal 1/3 binary64)) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 1/3 binary64)) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 1/3 binary64)) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 1/3 binary64)) |
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)) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(- 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 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) 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 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1/3 (/ y z)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(/ y z) |
(/.f64 y z) |
(+ (* -1 (/ t (* y z))) (/ y z)) |
(/.f64 (-.f64 y (/.f64 t y)) z) |
(+ (* -1 (/ t (* y z))) (/ y z)) |
(/.f64 (-.f64 y (/.f64 t y)) z) |
(+ (* -1 (/ t (* y z))) (/ y z)) |
(/.f64 (-.f64 y (/.f64 t y)) z) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(- 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 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) 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 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t))) |
(* -1/3 (/ t (* y z))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 t (*.f64 z y))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 1/3 binary64)) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 1/3 binary64)) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 1/3 binary64)) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) 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)) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 t (/.f64 x t))) |
(* 1/3 (/ t (* y z))) |
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(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
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(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
x |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
x |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
| 6 656× | lower-fma.f64 |
| 6 656× | lower-fma.f32 |
| 4 640× | lower-/.f32 |
| 4 628× | lower-/.f64 |
| 3 718× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 177 |
| 0 | 51 | 173 |
| 1 | 213 | 165 |
| 2 | 2437 | 165 |
| 0 | 8461 | 157 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) |
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)) |
(-.f64 y (/.f64 t y)) |
(/.f64 t y) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.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 (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(/.f64 (-.f64 y (/.f64 t y)) z) |
#s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
(/.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 x (/.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)) |
(*.f64 #s(literal 3 binary64) z) |
(+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(*.f64 (*.f64 z #s(literal 3 binary64)) y) |
| Outputs |
|---|
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Compiled 36 961 to 3 019 computations (91.8% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 889 | 14 | 1 903 |
| Fresh | 7 | 1 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 899 | 17 | 1 916 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.0% | (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
| 95.5% | (-.f64 x (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 3 binary64))) | |
| 57.5% | (-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 3 binary64) z))) | |
| ✓ | 72.1% | (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 56.9% | #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)) | |
| 64.5% | #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) | |
| 35.2% | #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) | |
| 55.5% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) | |
| ▶ | 73.3% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) |
| 73.3% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z)) | |
| 40.9% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) | |
| ▶ | 40.9% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
| ▶ | 35.1% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) |
| 73.2% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) | |
| 73.3% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z))) | |
| ▶ | 40.9% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) |
| ✓ | 40.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
Compiled 296 to 309 computations (-4.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 t y) | |
| cost-diff | 0 | (-.f64 y (/.f64 t y)) | |
| cost-diff | 0 | (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)) | |
| cost-diff | 0 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) | |
| cost-diff | 0 | #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) z) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) | |
| cost-diff | 128 | (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)) | |
| cost-diff | 0 | (*.f64 #s(literal -3 binary64) z) | |
| cost-diff | 0 | (/.f64 y (*.f64 #s(literal -3 binary64) z)) | |
| cost-diff | 0 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/3 binary64) z) | |
| cost-diff | 0 | (/.f64 t y) | |
| cost-diff | 0 | (-.f64 y (/.f64 t y)) | |
| cost-diff | 0 | (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
| 2 256× | lower-fma.f32 |
| 2 254× | lower-fma.f64 |
| 1 296× | lower-*.f32 |
| 1 290× | lower-*.f64 |
| 664× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 219 |
| 0 | 50 | 217 |
| 1 | 91 | 217 |
| 2 | 174 | 201 |
| 3 | 363 | 197 |
| 4 | 939 | 197 |
| 5 | 2711 | 197 |
| 6 | 3953 | 197 |
| 7 | 4301 | 197 |
| 8 | 4392 | 197 |
| 9 | 4436 | 197 |
| 10 | 4456 | 197 |
| 11 | 4557 | 197 |
| 12 | 4857 | 197 |
| 13 | 5037 | 197 |
| 14 | 5045 | 197 |
| 15 | 5045 | 197 |
| 16 | 5081 | 197 |
| 17 | 5239 | 197 |
| 18 | 5239 | 197 |
| 0 | 5239 | 197 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(-.f64 y (/.f64 t y)) |
y |
(/.f64 t y) |
t |
(/.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
z |
x |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
(/.f64 y (*.f64 #s(literal -3 binary64) z)) |
y |
(*.f64 #s(literal -3 binary64) z) |
#s(literal -3 binary64) |
z |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)) |
(neg.f64 y) |
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(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)) |
(/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) |
#s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) |
(/.f64 (neg.f64 t) y) |
(neg.f64 t) |
t |
y |
z |
#s(literal -1/3 binary64) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) |
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)) |
(-.f64 y (/.f64 t y)) |
y |
(/.f64 t y) |
t |
(*.f64 #s(literal -3 binary64) z) |
#s(literal -3 binary64) |
z |
| Outputs |
|---|
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) (-.f64 y (/.f64 t y)) x) |
(-.f64 y (/.f64 t y)) |
y |
(/.f64 t y) |
t |
(/.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
z |
x |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
(/.f64 y (*.f64 #s(literal -3 binary64) z)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) z) y) |
y |
(*.f64 #s(literal -3 binary64) z) |
#s(literal -3 binary64) |
z |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.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) y)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) z) y) |
(neg.f64 y) |
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(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (/.f64 #s(literal -1/3 binary64) z))) |
(*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)) |
(*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (/.f64 #s(literal -1/3 binary64) z)) |
(/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) |
#s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) |
(/.f64 (neg.f64 t) y) |
(neg.f64 t) |
t |
y |
z |
#s(literal -1/3 binary64) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z)) |
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z) |
(-.f64 y (/.f64 t y)) |
y |
(/.f64 t y) |
t |
(*.f64 #s(literal -3 binary64) z) |
#s(literal -3 binary64) |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y (/.f64 t y)) | |
| accuracy | 0 | (*.f64 #s(literal -3 binary64) z) | |
| accuracy | 2.586028056594298 | (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)) | |
| accuracy | 15.304599775112626 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) | |
| accuracy | 0.644657183653784 | (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)) | |
| accuracy | 2.4348635545108794 | (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) | |
| accuracy | 15.304599775112626 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) | |
| accuracy | 32.80226287192864 | #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.234375 | (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)) | |
| accuracy | 0.3828125 | (/.f64 #s(literal 1/3 binary64) z) | |
| accuracy | 37.76513460867103 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) | |
| accuracy | 0 | (*.f64 #s(literal -3 binary64) z) | |
| accuracy | 0.23828125 | (/.f64 y (*.f64 #s(literal -3 binary64) z)) | |
| accuracy | 37.76513460867103 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) | |
| accuracy | 0 | (/.f64 t y) | |
| accuracy | 0 | (-.f64 y (/.f64 t y)) | |
| accuracy | 0.3828125 | (/.f64 #s(literal -1/3 binary64) z) | |
| accuracy | 2.533430190196296 | (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
| 137.0ms | 256× | 0 | valid |
Compiled 169 to 31 computations (81.7% saved)
ival-div: 53.0ms (69.7% of total)ival-mult: 9.0ms (11.8% of total)const: 7.0ms (9.2% of total)ival-add: 2.0ms (2.6% of total)ival-sub: 2.0ms (2.6% of total)ival-neg: 2.0ms (2.6% 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 (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) (patch (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) #<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 (/.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 y (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 #s(literal -3 binary64) z)) (patch (/.f64 y (*.f64 #s(literal -3 binary64) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -3 binary64) z) (patch (*.f64 #s(literal -3 binary64) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)) (patch (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 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 (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) (patch (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (patch #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)) #<representation binary64>) () ()) |
| Outputs |
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#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) (patch (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) (patch (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) (patch (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) #<representation binary64>) () ())) ()) |
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#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | ((+ (* (- y (/ t y)) (/ -1/3 z)) x) (- y (/ t y)) (/ t y) (/ -1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ y (* -3 z)) (* -3 z) (* (neg y) (/ 1/3 z)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (neg y) (/ 1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (- y (/ t y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (- y (/ t y)) (* -3 z))) |
| 2.0ms | z | @ | 0 | ((+ (* (- y (/ t y)) (/ -1/3 z)) x) (- y (/ t y)) (/ t y) (/ -1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ y (* -3 z)) (* -3 z) (* (neg y) (/ 1/3 z)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (neg y) (/ 1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (- y (/ t y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (- y (/ t y)) (* -3 z))) |
| 2.0ms | z | @ | inf | ((+ (* (- y (/ t y)) (/ -1/3 z)) x) (- y (/ t y)) (/ t y) (/ -1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ y (* -3 z)) (* -3 z) (* (neg y) (/ 1/3 z)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (neg y) (/ 1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (- y (/ t y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (- y (/ t y)) (* -3 z))) |
| 2.0ms | t | @ | -inf | ((+ (* (- y (/ t y)) (/ -1/3 z)) x) (- y (/ t y)) (/ t y) (/ -1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ y (* -3 z)) (* -3 z) (* (neg y) (/ 1/3 z)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (neg y) (/ 1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (- y (/ t y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (- y (/ t y)) (* -3 z))) |
| 1.0ms | y | @ | -inf | ((+ (* (- y (/ t y)) (/ -1/3 z)) x) (- y (/ t y)) (/ t y) (/ -1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ y (* -3 z)) (* -3 z) (* (neg y) (/ 1/3 z)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (neg y) (/ 1/3 z) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ (- y (/ t y)) z) -1/3) (/ (- y (/ t y)) z) (- y (/ t y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (- y (/ t y)) (* -3 z))) |
| 1× | egg-herbie |
| 10 474× | lower-fma.f64 |
| 10 474× | lower-fma.f32 |
| 4 458× | lower-*.f64 |
| 4 458× | lower-*.f32 |
| 2 210× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 4553 |
| 1 | 516 | 4061 |
| 2 | 1523 | 4061 |
| 3 | 4804 | 4001 |
| 0 | 8452 | 3800 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 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))))) |
y |
(+ y (* -1 (/ t y))) |
(+ y (* -1 (/ t y))) |
(+ y (* -1 (/ t y))) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(- 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))) |
(- 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))) |
(- 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 (/ 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)))) |
(/ y z) |
(+ (* -1 (/ t (* y z))) (/ y z)) |
(+ (* -1 (/ t (* y z))) (/ y z)) |
(+ (* -1 (/ t (* y z))) (/ y z)) |
y |
(+ y (* -1 (/ t y))) |
(+ y (* -1 (/ t y))) |
(+ y (* -1 (/ t y))) |
(- 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 (/ 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))) (/ 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 (/ t y)) |
(* t (- (/ y t) (/ 1 y))) |
(* t (- (/ y t) (/ 1 y))) |
(* t (- (/ y t) (/ 1 y))) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(* 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))) |
(* 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))) |
(* 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))) |
(* 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 (/ t (* y z))) |
(* t (- (/ y (* t z)) (/ 1 (* y z)))) |
(* t (- (/ y (* t z)) (/ 1 (* y z)))) |
(* t (- (/ y (* t z)) (/ 1 (* y z)))) |
(* -1 (/ t y)) |
(* t (- (/ y t) (/ 1 y))) |
(* t (- (/ y t) (/ 1 y))) |
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(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
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))) |
| Outputs |
|---|
(+ x (* -1/3 (/ y z))) |
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
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)) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(- x (* 1/3 (/ y z))) |
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- x (* 1/3 (/ y z))) |
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- x (* 1/3 (/ y z))) |
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(/ y z) |
(/.f64 y z) |
(+ (* -1 (/ t (* y z))) (/ y z)) |
(/.f64 (-.f64 y (/.f64 t y)) z) |
(+ (* -1 (/ t (* y z))) (/ y z)) |
(/.f64 (-.f64 y (/.f64 t y)) z) |
(+ (* -1 (/ t (* y z))) (/ y z)) |
(/.f64 (-.f64 y (/.f64 t y)) z) |
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)) |
(- x (* 1/3 (/ y z))) |
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t)))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) 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)) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(* -1 (/ t (* y z))) |
(/.f64 (neg.f64 t) (*.f64 z y)) |
(* t (- (/ y (* t z)) (/ 1 (* y z)))) |
(/.f64 (-.f64 y (/.f64 t y)) z) |
(* t (- (/ y (* t z)) (/ 1 (* y z)))) |
(/.f64 (-.f64 y (/.f64 t y)) z) |
(* t (- (/ y (* t z)) (/ 1 (* y z)))) |
(/.f64 (-.f64 y (/.f64 t y)) z) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) 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)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* -1 (/ t y)) |
(/.f64 (neg.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 (+ (* -1 (/ y t)) (/ 1 y)))) |
(-.f64 y (/.f64 t y)) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(* -1 (/ t (* y z))) |
(/.f64 (neg.f64 t) (*.f64 z y)) |
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (* y z))))) |
(/.f64 (-.f64 y (/.f64 t y)) z) |
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (* y z))))) |
(/.f64 (-.f64 y (/.f64 t y)) z) |
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (* y z))))) |
(/.f64 (-.f64 y (/.f64 t y)) z) |
(* -1 (/ t y)) |
(/.f64 (neg.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 (+ (* -1 (/ y t)) (/ 1 y)))) |
(-.f64 y (/.f64 t y)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) (*.f64 (/.f64 x t) t)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(* -1/3 (/ (- y (/ t y)) z)) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(/ (+ (* -1/3 (- y (/ t y))) (* x z)) z) |
(/.f64 (fma.f64 (-.f64 y (/.f64 t y)) #s(literal -1/3 binary64) (*.f64 z x)) z) |
(/ (+ (* -1/3 (- y (/ t y))) (* x z)) z) |
(/.f64 (fma.f64 (-.f64 y (/.f64 t y)) #s(literal -1/3 binary64) (*.f64 z x)) z) |
(/ (+ (* -1/3 (- y (/ t y))) (* x z)) z) |
(/.f64 (fma.f64 (-.f64 y (/.f64 t y)) #s(literal -1/3 binary64) (*.f64 z x)) z) |
(/ -1/3 z) |
(/.f64 #s(literal -1/3 binary64) z) |
(/ -1/3 z) |
(/.f64 #s(literal -1/3 binary64) z) |
(/ -1/3 z) |
(/.f64 #s(literal -1/3 binary64) z) |
(/ -1/3 z) |
(/.f64 #s(literal -1/3 binary64) z) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/.f64 (fma.f64 (-.f64 y (/.f64 t y)) #s(literal -1/3 binary64) (*.f64 z x)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/.f64 (fma.f64 (-.f64 y (/.f64 t y)) #s(literal -1/3 binary64) (*.f64 z x)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/.f64 (fma.f64 (-.f64 y (/.f64 t y)) #s(literal -1/3 binary64) (*.f64 z x)) z) |
(* -1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(* -1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(* -1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(* -1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(* -3 z) |
(*.f64 #s(literal -3 binary64) z) |
(* -3 z) |
(*.f64 #s(literal -3 binary64) z) |
(* -3 z) |
(*.f64 #s(literal -3 binary64) z) |
(* -3 z) |
(*.f64 #s(literal -3 binary64) z) |
(* -1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(* -1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(* -1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(* -1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
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(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
| 6 986× | lower-fma.f32 |
| 6 984× | lower-fma.f64 |
| 5 598× | lower-/.f32 |
| 5 584× | lower-/.f64 |
| 4 212× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 183 |
| 0 | 50 | 181 |
| 1 | 188 | 161 |
| 2 | 1721 | 161 |
| 0 | 8535 | 161 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(-.f64 y (/.f64 t y)) |
(/.f64 t y) |
(/.f64 #s(literal -1/3 binary64) z) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
(/.f64 y (*.f64 #s(literal -3 binary64) z)) |
(*.f64 #s(literal -3 binary64) z) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) |
(neg.f64 y) |
(/.f64 #s(literal 1/3 binary64) z) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64)) |
(/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) |
#s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) |
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)) |
| Outputs |
|---|
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Compiled 24 299 to 2 306 computations (90.5% saved)
17 alts after pruning (13 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 433 | 7 | 1 440 |
| Fresh | 4 | 6 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 440 | 17 | 1 457 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.0% | (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
| 57.5% | (-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 3 binary64) z))) | |
| 56.9% | #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)) | |
| 64.5% | #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) | |
| ▶ | 35.2% | #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
| 72.1% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))) | |
| ▶ | 55.5% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) |
| 72.7% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -3 binary64))) | |
| ✓ | 73.3% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) |
| 35.4% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #s(literal -1/3 binary64)) z)) | |
| 40.9% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) | |
| ▶ | 35.4% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) |
| ✓ | 40.9% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
| ▶ | 40.9% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
| ▶ | 73.2% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) |
| 35.4% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (/.f64 #s(literal -1/3 binary64) z))) | |
| ✓ | 40.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
Compiled 278 to 295 computations (-6.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 t z) | |
| cost-diff | 0 | (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) | |
| cost-diff | 0 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) | |
| cost-diff | 320 | (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) | |
| cost-diff | 0 | (/.f64 (neg.f64 t) y) | |
| cost-diff | 0 | #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)) | |
| cost-diff | 0 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) | |
| cost-diff | -384 | (/.f64 t (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) | |
| cost-diff | 384 | (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1/3 binary64) z) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/3 binary64) z) y) | |
| cost-diff | 0 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) | |
| cost-diff | 0 | (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 0 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) |
| 4 780× | lower-fma.f32 |
| 4 778× | lower-fma.f64 |
| 1 932× | lower-*.f32 |
| 1 918× | lower-*.f64 |
| 1 520× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 253 |
| 0 | 64 | 253 |
| 1 | 113 | 233 |
| 2 | 221 | 233 |
| 3 | 461 | 233 |
| 4 | 1056 | 233 |
| 5 | 2737 | 233 |
| 6 | 4141 | 233 |
| 7 | 4805 | 233 |
| 8 | 5058 | 233 |
| 9 | 5215 | 233 |
| 10 | 5266 | 233 |
| 11 | 5278 | 233 |
| 12 | 5632 | 233 |
| 13 | 5788 | 233 |
| 14 | 5788 | 233 |
| 15 | 5788 | 233 |
| 16 | 5888 | 231 |
| 17 | 6403 | 231 |
| 18 | 6639 | 231 |
| 19 | 7215 | 231 |
| 20 | 7862 | 231 |
| 0 | 8005 | 224 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)) |
(-.f64 y (/.f64 t y)) |
y |
(/.f64 t y) |
t |
#s(literal 1/3 binary64) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) z) y) |
(/.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
z |
y |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(/.f64 t (*.f64 z y)) |
t |
(*.f64 z y) |
z |
y |
#s(literal 1/3 binary64) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) |
(/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)) |
#s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) |
(/.f64 (neg.f64 t) y) |
(neg.f64 t) |
t |
y |
(*.f64 #s(literal -3 binary64) z) |
#s(literal -3 binary64) |
z |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) |
(/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) |
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) |
(/.f64 t z) |
t |
z |
#s(literal 1/3 binary64) |
(*.f64 y x) |
y |
x |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (-.f64 y (/.f64 t y))) |
(-.f64 y (/.f64 t y)) |
y |
(/.f64 t y) |
t |
#s(literal 1/3 binary64) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) z) y) |
(/.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
z |
y |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)) |
(/.f64 t (*.f64 z y)) |
(/.f64 (/.f64 t z) y) |
t |
(*.f64 z y) |
z |
y |
#s(literal 1/3 binary64) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)))) |
(/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) z) #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y))) |
#s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) |
(/.f64 (neg.f64 t) y) |
(neg.f64 t) |
t |
y |
(*.f64 #s(literal -3 binary64) z) |
#s(literal -3 binary64) |
z |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 (/.f64 t z) y) #s(literal 1/3 binary64) x)) |
(/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) |
(fma.f64 (/.f64 (/.f64 t z) y) #s(literal 1/3 binary64) x) |
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) |
(/.f64 t z) |
t |
z |
#s(literal 1/3 binary64) |
(*.f64 y x) |
y |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.5742166858302058 | (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) | |
| accuracy | 10.579449325675082 | (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) | |
| accuracy | 24.75023809242931 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 2.586028056594298 | (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)) | |
| accuracy | 15.304599775112626 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) | |
| accuracy | 32.80226287192864 | #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.44649321495272826 | (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) | |
| accuracy | 4.644337049944217 | (/.f64 t (*.f64 z y)) | |
| accuracy | 39.62112931401945 | #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) | |
| accuracy | 0.234375 | (*.f64 (/.f64 #s(literal -1/3 binary64) z) y) | |
| accuracy | 0.3828125 | (/.f64 #s(literal -1/3 binary64) z) | |
| accuracy | 37.76513460867103 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) | |
| accuracy | 0 | (-.f64 y (/.f64 t y)) | |
| accuracy | 0.5375299351598481 | (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)) | |
| accuracy | 2.564211796825856 | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) | |
| accuracy | 15.304599775112626 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) |
| 103.0ms | 256× | 0 | valid |
Compiled 195 to 39 computations (80% saved)
ival-mult: 33.0ms (41.8% of total)ival-div: 20.0ms (25.3% of total)const: 18.0ms (22.8% of total)ival-sub: 3.0ms (3.8% of total)ival-add: 2.0ms (2.5% of total)ival-neg: 1.0ms (1.3% 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 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1/3 binary64) z) y) (patch (*.f64 (/.f64 #s(literal -1/3 binary64) z) 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 (*.f64 z y)) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) (patch #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (/.f64 t (*.f64 z y)) (patch (/.f64 t (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)) (patch (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (patch #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 t) y) (patch (/.f64 (neg.f64 t) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) (patch (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) (patch (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ()) |
#s(alt (-.f64 y (/.f64 t y)) (patch (-.f64 y (/.f64 t y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/3 (/ y z)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) (patch (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1/3 (/ t (* x z)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) (patch (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1/3 (/ t (* x z)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) (patch (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (* -1/3 (/ t (* x z)))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) (patch (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | t | @ | inf | ((* (/ -1 z) (* (- y (/ t y)) 1/3)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ -1 z) (* (- y (/ t y)) 1/3) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ -1/3 z) y) (/ -1/3 z) (* (/ t (* z y)) 1/3) (- x (/ (- y (/ t y)) (* 3 z))) (* z y) (/ t (* z y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (- y (/ t y)) (* -3 z)) (- y (/ t y)) (/ (neg t) y) (/ (+ (* (/ t z) 1/3) (* y x)) y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (+ (* (/ t z) 1/3) (* y x)) (/ t z) (- y (/ t y)) (neg t) (* y x)) |
| 4.0ms | y | @ | inf | ((* (/ -1 z) (* (- y (/ t y)) 1/3)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ -1 z) (* (- y (/ t y)) 1/3) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ -1/3 z) y) (/ -1/3 z) (* (/ t (* z y)) 1/3) (- x (/ (- y (/ t y)) (* 3 z))) (* z y) (/ t (* z y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (- y (/ t y)) (* -3 z)) (- y (/ t y)) (/ (neg t) y) (/ (+ (* (/ t z) 1/3) (* y x)) y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (+ (* (/ t z) 1/3) (* y x)) (/ t z) (- y (/ t y)) (neg t) (* y x)) |
| 3.0ms | t | @ | -inf | ((* (/ -1 z) (* (- y (/ t y)) 1/3)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ -1 z) (* (- y (/ t y)) 1/3) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ -1/3 z) y) (/ -1/3 z) (* (/ t (* z y)) 1/3) (- x (/ (- y (/ t y)) (* 3 z))) (* z y) (/ t (* z y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (- y (/ t y)) (* -3 z)) (- y (/ t y)) (/ (neg t) y) (/ (+ (* (/ t z) 1/3) (* y x)) y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (+ (* (/ t z) 1/3) (* y x)) (/ t z) (- y (/ t y)) (neg t) (* y x)) |
| 3.0ms | y | @ | -inf | ((* (/ -1 z) (* (- y (/ t y)) 1/3)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ -1 z) (* (- y (/ t y)) 1/3) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ -1/3 z) y) (/ -1/3 z) (* (/ t (* z y)) 1/3) (- x (/ (- y (/ t y)) (* 3 z))) (* z y) (/ t (* z y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (- y (/ t y)) (* -3 z)) (- y (/ t y)) (/ (neg t) y) (/ (+ (* (/ t z) 1/3) (* y x)) y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (+ (* (/ t z) 1/3) (* y x)) (/ t z) (- y (/ t y)) (neg t) (* y x)) |
| 3.0ms | z | @ | -inf | ((* (/ -1 z) (* (- y (/ t y)) 1/3)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ -1 z) (* (- y (/ t y)) 1/3) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (* (/ -1/3 z) y) (/ -1/3 z) (* (/ t (* z y)) 1/3) (- x (/ (- y (/ t y)) (* 3 z))) (* z y) (/ t (* z y)) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/ (- y (/ t y)) (* -3 z)) (- y (/ t y)) (/ (neg t) y) (/ (+ (* (/ t z) 1/3) (* y x)) y) (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (+ (* (/ t z) 1/3) (* y x)) (/ t z) (- y (/ t y)) (neg t) (* y x)) |
| 1× | egg-herbie |
| 9 784× | lower-fma.f64 |
| 9 784× | lower-fma.f32 |
| 4 824× | lower-*.f64 |
| 4 824× | lower-*.f32 |
| 1 588× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 5416 |
| 1 | 645 | 4958 |
| 2 | 1903 | 4946 |
| 3 | 6450 | 4946 |
| 0 | 8236 | 4686 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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)))) |
(- 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 y) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(- 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))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* 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))) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* 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 (/ 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)))) |
y |
(+ y (* -1 (/ t y))) |
(+ y (* -1 (/ t y))) |
(+ y (* -1 (/ t y))) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
x |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* 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))) |
(* x y) |
(+ (* 1/3 (/ t z)) (* x y)) |
(+ (* 1/3 (/ t z)) (* x y)) |
(+ (* 1/3 (/ t z)) (* x y)) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ t z) |
y |
(+ y (* -1 (/ t y))) |
(+ y (* -1 (/ t y))) |
(+ y (* -1 (/ t y))) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* 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))) |
(* 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)) |
(* 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 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))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* 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))))) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* 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))) |
(* 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 (/ t y)) |
(* t (- (/ y t) (/ 1 y))) |
(* t (- (/ y t) (/ 1 y))) |
(* t (- (/ y t) (/ 1 y))) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* 1/3 (/ t (* y z))) |
(* t (+ (* 1/3 (/ 1 (* y z))) (/ x t))) |
(* t (+ (* 1/3 (/ 1 (* y z))) (/ x t))) |
(* t (+ (* 1/3 (/ 1 (* y z))) (/ x t))) |
(* 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 z)) |
(* t (+ (* 1/3 (/ 1 z)) (/ (* x y) t))) |
(* t (+ (* 1/3 (/ 1 z)) (/ (* x y) t))) |
(* t (+ (* 1/3 (/ 1 z)) (/ (* x y) t))) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ t z) |
(* -1 (/ t y)) |
(* t (- (/ y t) (/ 1 y))) |
(* t (- (/ y t) (/ 1 y))) |
(* t (- (/ y t) (/ 1 y))) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* 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 (* 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 (* 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 (* 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 (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y 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)))))) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y 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 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 (/ 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)) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ x t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ x t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ x t)) (* 1/3 (/ 1 (* y 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 z)) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* 1/3 (/ 1 z))))) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* 1/3 (/ 1 z))))) |
(* -1 (* t (- (* -1 (/ (* x y) t)) (* 1/3 (/ 1 z))))) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ t z) |
(* -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) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -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 (/ 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) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -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) |
(* -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 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* 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) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* 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) |
(* -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 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t y)) (* x z)) z) |
(/ (+ (* 1/3 (/ t y)) (* x z)) z) |
(/ (+ (* 1/3 (/ t y)) (* x z)) 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) |
(* 1/3 (/ t z)) |
(/ (+ (* 1/3 t) (* x (* y z))) z) |
(/ (+ (* 1/3 t) (* x (* y z))) z) |
(/ (+ (* 1/3 t) (* x (* y z))) z) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ t 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)) |
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))) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 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))) |
(* -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 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ 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))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* 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))) |
(* -1/3 (/ (- y (/ t y)) z)) |
(* -1/3 (/ (- y (/ t y)) z)) |
(* -1/3 (/ (- y (/ t y)) z)) |
(* -1/3 (/ (- y (/ t y)) z)) |
x |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* 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 y) |
(+ (* 1/3 (/ t z)) (* x y)) |
(+ (* 1/3 (/ t z)) (* x y)) |
(+ (* 1/3 (/ t z)) (* x y)) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ t 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)) |
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 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 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 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ 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))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ 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 (/ t y)) z)) |
(* -1/3 (/ (- y (/ t y)) z)) |
(* -1/3 (/ (- y (/ t y)) z)) |
(* -1/3 (/ (- y (/ t y)) z)) |
x |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 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))) |
(* x y) |
(+ (* 1/3 (/ t z)) (* x y)) |
(+ (* 1/3 (/ t z)) (* x y)) |
(+ (* 1/3 (/ t z)) (* x y)) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ t 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 (/ 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 (/ t y)) |
(/ (+ (* -1/3 t) (* 1/3 (pow y 2))) y) |
(/ (+ (* -1/3 t) (* 1/3 (pow y 2))) y) |
(/ (+ (* -1/3 t) (* 1/3 (pow y 2))) y) |
(* 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)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ 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))) |
(/ (- (* 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) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* 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 (/ 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 (/ t y)) |
(/ (- (pow y 2) t) y) |
(/ (- (pow y 2) t) y) |
(/ (- (pow y 2) t) y) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(* 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 (/ t z)) |
(+ (* 1/3 (/ t z)) (* x y)) |
(+ (* 1/3 (/ t z)) (* x y)) |
(+ (* 1/3 (/ t z)) (* x y)) |
(* -1 (/ t y)) |
(/ (- (pow y 2) t) y) |
(/ (- (pow y 2) t) y) |
(/ (- (pow y 2) t) y) |
(* x y) |
(* x y) |
(* x y) |
(* x 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)) |
(* 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) |
(* 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 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)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* -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)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(* -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)) |
(* 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)))) |
y |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
x |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(* -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)))) |
(* x y) |
(* y (+ x (* 1/3 (/ t (* y z))))) |
(* y (+ x (* 1/3 (/ t (* y z))))) |
(* y (+ x (* 1/3 (/ t (* y z))))) |
y |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -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 (* 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 (* 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 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 z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y 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))))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y 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 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))))) |
y |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
x |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y 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 y) |
(* -1 (* y (+ (* -1 x) (* -1/3 (/ t (* y z)))))) |
(* -1 (* y (+ (* -1 x) (* -1/3 (/ t (* y z)))))) |
(* -1 (* y (+ (* -1 x) (* -1/3 (/ t (* y z)))))) |
y |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
(* x y) |
(* x y) |
(* x y) |
(* x 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))) |
(- (* 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))) |
(* -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))) |
(- (* 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))) |
(* 1/3 (/ t (* y z))) |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* 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))) |
(* 1/3 (/ t z)) |
(+ (* 1/3 (/ t z)) (* x y)) |
(+ (* 1/3 (/ t z)) (* x y)) |
(+ (* 1/3 (/ t z)) (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
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 |
(* 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 |
(* 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 |
(* 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 |
(* x (+ 1 (* 1/3 (/ t (* x (* y z)))))) |
(* x (+ 1 (* 1/3 (/ t (* x (* y z)))))) |
(* x (+ 1 (* 1/3 (/ t (* x (* 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 y) |
(* x (+ y (* 1/3 (/ t (* x z))))) |
(* x (+ y (* 1/3 (/ t (* x z))))) |
(* x (+ y (* 1/3 (/ t (* x z))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
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))) |
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))) |
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))) |
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))) |
x |
(* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1))) |
(* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1))) |
(* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1))) |
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))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1/3 (/ t (* x z)))))) |
(* -1 (* x (+ (* -1 y) (* -1/3 (/ t (* x z)))))) |
(* -1 (* x (+ (* -1 y) (* -1/3 (/ t (* x z)))))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(* -1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(- x (* 1/3 (/ y z))) |
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* 1/3 y) |
(*.f64 #s(literal 1/3 binary64) y) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)) |
(- x (* 1/3 (/ y z))) |
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(- x (* 1/3 (/ y z))) |
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(/ t (* y z)) |
(/.f64 t (*.f64 z y)) |
(/ t (* y z)) |
(/.f64 t (*.f64 z y)) |
(/ t (* y z)) |
(/.f64 t (*.f64 z y)) |
(/ t (* y z)) |
(/.f64 t (*.f64 z y)) |
(- x (* 1/3 (/ y z))) |
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1/3 (/ y z)) |
(*.f64 (/.f64 y z) #s(literal -1/3 binary64)) |
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(* -1 (* y (+ (* -1 x) (* -1/3 (/ t (* y z)))))) |
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 x 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)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1/3 (/ (- y (/ t y)) z)) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* 1/3 (/ t (* y z))) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
(+ x (* 1/3 (/ t (* y z)))) |
(fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x) |
(+ x (* 1/3 (/ t (* y z)))) |
(fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x) |
(+ x (* 1/3 (/ t (* y z)))) |
(fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x) |
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64)) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* 1/3 (/ t z)) |
(*.f64 (/.f64 t z) #s(literal 1/3 binary64)) |
(+ (* 1/3 (/ t z)) (* x y)) |
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 x y)) |
(+ (* 1/3 (/ t z)) (* x y)) |
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 x y)) |
(+ (* 1/3 (/ t z)) (* x y)) |
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 x y)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
x |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
x |
(* x (+ 1 (* 1/3 (/ t (* x (* y z)))))) |
(fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* 1/3 (/ t (* x (* y z)))))) |
(fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x) |
(* x (+ 1 (* 1/3 (/ t (* x (* y z)))))) |
(fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* x y) |
(*.f64 x y) |
(* x (+ y (* 1/3 (/ t (* x z))))) |
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 x y)) |
(* x (+ y (* 1/3 (/ t (* x z))))) |
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 x y)) |
(* x (+ y (* 1/3 (/ t (* x z))))) |
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 x y)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
x |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
x |
(* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1))) |
(fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x) |
(* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1))) |
(fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x) |
(* -1 (* x (- (* -1/3 (/ t (* x (* y z)))) 1))) |
(fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x) |
(* x y) |
(*.f64 x y) |
(* -1 (* x (+ (* -1 y) (* -1/3 (/ t (* x z)))))) |
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 x y)) |
(* -1 (* x (+ (* -1 y) (* -1/3 (/ t (* x z)))))) |
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 x y)) |
(* -1 (* x (+ (* -1 y) (* -1/3 (/ t (* x z)))))) |
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 x y)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
| 6 890× | lower-fma.f32 |
| 6 888× | lower-fma.f64 |
| 4 992× | lower-/.f32 |
| 4 976× | lower-/.f64 |
| 4 364× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 226 |
| 0 | 64 | 226 |
| 1 | 239 | 206 |
| 2 | 2083 | 206 |
| 0 | 8551 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal -1 binary64) z) |
(*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) z) y) |
(/.f64 #s(literal -1/3 binary64) z) |
(*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
(*.f64 z y) |
(/.f64 t (*.f64 z y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) |
(/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z)) |
#s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) |
(/.f64 (neg.f64 t) y) |
(/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) |
(fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) |
(/.f64 t z) |
(-.f64 y (/.f64 t y)) |
(neg.f64 t) |
(*.f64 y x) |
| Outputs |
|---|
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Compiled 16 211 to 2 158 computations (86.7% saved)
17 alts after pruning (10 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 250 | 7 | 1 257 |
| Fresh | 5 | 3 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 257 | 17 | 1 274 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.0% | (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
| 57.5% | (-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 3 binary64) z))) | |
| 64.5% | #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) | |
| 56.9% | #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)) | |
| 37.3% | #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y))) | |
| 35.4% | #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t y) (*.f64 #s(literal 3 binary64) z))) | |
| 35.3% | #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))) | |
| 37.3% | #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (/.f64 z t)))) | |
| ✓ | 35.2% | #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
| 34.7% | #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) | |
| ✓ | 73.3% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) |
| 40.9% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) | |
| 21.5% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) | |
| ✓ | 40.9% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
| ✓ | 40.9% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
| ✓ | 73.2% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) |
| ✓ | 40.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
Compiled 549 to 280 computations (49% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (/.f64 z t)))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t y) (*.f64 #s(literal 3 binary64) z))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))) |
(-.f64 x (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 3 binary64))) |
(+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))) |
(+.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 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z y) #s(literal 3 binary64)))) |
(+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(fma.f64 (/.f64 t y) (/.f64 #s(literal 1/3 binary64) z) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y))) |
| Outputs |
|---|
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))) |
6 calls:
| 37.0ms | (*.f64 z #s(literal 3 binary64)) |
| 32.0ms | y |
| 20.0ms | t |
| 12.0ms | x |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 1 | x |
| 99.4% | 3 | y |
| 97.9% | 2 | z |
| 98.7% | 2 | t |
| 99.4% | 3 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 97.9% | 2 | (*.f64 z #s(literal 3 binary64)) |
Compiled 22 to 33 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (/.f64 z t)))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t y) (*.f64 #s(literal 3 binary64) z))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))) |
(-.f64 x (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 3 binary64))) |
(+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))) |
(+.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 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z y) #s(literal 3 binary64)))) |
(+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(fma.f64 (/.f64 t y) (/.f64 #s(literal 1/3 binary64) z) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
| Outputs |
|---|
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
3 calls:
| 29.0ms | t |
| 27.0ms | z |
| 12.0ms | (*.f64 z #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 2 | z |
| 97.9% | 2 | (*.f64 z #s(literal 3 binary64)) |
| 97.9% | 2 | t |
Compiled 5 to 14 computations (-180% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (/.f64 z t)))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t y) (*.f64 #s(literal 3 binary64) z))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))) |
(-.f64 x (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 3 binary64))) |
(+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) |
3 calls:
| 42.0ms | (*.f64 z #s(literal 3 binary64)) |
| 29.0ms | t |
| 11.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 2 | t |
| 97.9% | 2 | z |
| 97.9% | 2 | (*.f64 z #s(literal 3 binary64)) |
Compiled 5 to 14 computations (-180% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (/.f64 z t)))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t y) (*.f64 #s(literal 3 binary64) z))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 y (/.f64 t y)) #s(literal 1/3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))) |
(-.f64 x (/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 3 binary64))) |
(+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| Outputs |
|---|
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) |
5 calls:
| 43.0ms | z |
| 24.0ms | y |
| 10.0ms | (*.f64 z #s(literal 3 binary64)) |
| 10.0ms | t |
| 9.0ms | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 96.1% | 1 | z |
| 96.1% | 1 | (*.f64 z #s(literal 3 binary64)) |
| 96.1% | 1 | y |
| 96.1% | 1 | t |
Compiled 21 to 29 computations (-38.1% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (/.f64 z t)))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t y) (*.f64 #s(literal 3 binary64) z))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(-.f64 x (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal 3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 (/.f64 t z) #s(literal 1/3 binary64) (*.f64 y x)) y)) |
| Outputs |
|---|
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
6 calls:
| 36.0ms | y |
| 34.0ms | t |
| 33.0ms | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 9.0ms | x |
| 9.0ms | (*.f64 z #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 96.0% | 1 | x |
| 96.0% | 1 | y |
| 96.0% | 1 | z |
| 96.0% | 1 | (*.f64 z #s(literal 3 binary64)) |
| 96.0% | 1 | t |
Compiled 22 to 33 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (/.f64 z t)))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t y) (*.f64 #s(literal 3 binary64) z))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)) |
6 calls:
| 45.0ms | (*.f64 z #s(literal 3 binary64)) |
| 10.0ms | x |
| 8.0ms | t |
| 8.0ms | y |
| 8.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 1 | x |
| 95.4% | 1 | y |
| 95.4% | 1 | z |
| 95.4% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 95.4% | 1 | (*.f64 z #s(literal 3 binary64)) |
| 95.4% | 1 | t |
Compiled 22 to 33 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (/.f64 z t)))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t y) (*.f64 #s(literal 3 binary64) z))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) z) #s(literal -1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(approx (- y (/ t y)) (/.f64 (neg.f64 t) y)) #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 y (/.f64 t y))) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z))) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
6 calls:
| 38.0ms | (*.f64 z #s(literal 3 binary64)) |
| 37.0ms | z |
| 8.0ms | y |
| 8.0ms | x |
| 8.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.6% | 3 | x |
| 84.1% | 3 | z |
| 83.6% | 3 | t |
| 83.2% | 4 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 84.1% | 3 | (*.f64 z #s(literal 3 binary64)) |
| 89.3% | 3 | y |
Compiled 22 to 33 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
6 calls:
| 24.0ms | y |
| 21.0ms | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 5.0ms | x |
| 5.0ms | (*.f64 z #s(literal 3 binary64)) |
| 5.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.5% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 71.6% | 3 | t |
| 64.5% | 1 | z |
| 64.5% | 1 | (*.f64 z #s(literal 3 binary64)) |
| 64.5% | 1 | x |
| 80.6% | 3 | y |
Compiled 22 to 33 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.5% | 3 | y |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z))) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
3 calls:
| 9.0ms | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 4.0ms | t |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.5% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 64.5% | 1 | t |
| 64.5% | 1 | y |
Compiled 17 to 19 computations (-11.8% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
6 calls:
| 3.0ms | (*.f64 z #s(literal 3 binary64)) |
| 3.0ms | y |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.9% | 1 | t |
| 46.6% | 2 | x |
| 40.9% | 1 | z |
| 40.9% | 1 | (*.f64 z #s(literal 3 binary64)) |
| 52.7% | 3 | y |
| 40.9% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
Compiled 22 to 33 computations (-50% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.7% | 3 | y |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
6 calls:
| 3.0ms | y |
| 2.0ms | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 2.0ms | (*.f64 z #s(literal 3 binary64)) |
| 2.0ms | x |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.9% | 1 | z |
| 40.9% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 40.9% | 1 | (*.f64 z #s(literal 3 binary64)) |
| 40.9% | 1 | t |
| 40.9% | 1 | x |
| 40.9% | 1 | y |
Compiled 22 to 33 computations (-50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
6 calls:
| 12.0ms | (*.f64 z #s(literal 3 binary64)) |
| 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 | x |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.6% | 1 | z |
| 40.6% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 40.6% | 1 | (*.f64 z #s(literal 3 binary64)) |
| 40.6% | 1 | y |
| 40.6% | 1 | t |
| 40.6% | 1 | x |
Compiled 22 to 33 computations (-50% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 1.6456459449825176e+39 | 8.234612392818133e+43 |
| 2.0ms | 32× | 0 | valid |
Compiled 76 to 70 computations (7.9% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0941721389325886e+73 | 4.3129907169905363e+80 |
Compiled 16 to 18 computations (-12.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 43.0ms | -8.30031407172683e+146 | -8.087594186139035e+142 |
| 37.0ms | 128× | 0 | valid |
Compiled 218 to 210 computations (3.7% saved)
ival-div: 2.0ms (41.4% of total)ival-mult: 2.0ms (41.4% of total)ival-sub: 1.0ms (20.7% of total)ival-add: 1.0ms (20.7% 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 |
|---|---|---|
| 13.0ms | 4.592685401121305e-70 | 1.6050030980608322e-65 |
| 8.0ms | -1.4658754233379846e+80 | -4.957246979645866e+79 |
| 13.0ms | 208× | 0 | valid |
Compiled 226 to 265 computations (-17.3% saved)
ival-div: 3.0ms (38.7% of total)ival-mult: 3.0ms (38.7% of total)ival-sub: 1.0ms (12.9% of total)ival-add: 1.0ms (12.9% 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 |
|---|---|---|
| 25.0ms | 1.6841602039914238e-96 | 2.9308467044517647e-95 |
| 15.0ms | -2.5575016144292665e-47 | -1.4590330603335055e-56 |
| 16.0ms | 256× | 0 | valid |
Compiled 258 to 322 computations (-24.8% saved)
ival-div: 4.0ms (41.2% of total)ival-mult: 3.0ms (30.9% of total)ival-sub: 1.0ms (10.3% of total)ival-add: 1.0ms (10.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.6841602039914238e-96 | 2.9308467044517647e-95 |
| 4.0ms | -2.5575016144292665e-47 | -1.4590330603335055e-56 |
| 2.0ms | 32× | 0 | valid |
Compiled 258 to 322 computations (-24.8% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 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 |
|---|---|---|
| 13.0ms | 4.510911156195835e-57 | 7.042830265310395e-53 |
| 16.0ms | -7.767174106230751e+20 | -1.62740447645711e+18 |
| 19.0ms | 256× | 0 | valid |
Compiled 226 to 306 computations (-35.4% saved)
ival-mult: 6.0ms (49.8% of total)ival-div: 4.0ms (33.2% of total)ival-sub: 1.0ms (8.3% of total)ival-add: 1.0ms (8.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.510911156195835e-57 | 7.042830265310395e-53 |
| 1.0ms | -7.767174106230751e+20 | -1.62740447645711e+18 |
Compiled 226 to 306 computations (-35.4% saved)
| 1× | egg-herbie |
| 336× | distribute-lft-neg-in-binary64-*.f64-neg.f64 |
| 278× | unsub-neg-binary64--.f64-neg.f64-+.f64 |
| 230× | neg-mul-1-binary64-*.f64-neg.f64 |
| 216× | cancel-sign-sub-binary64-+.f64-neg.f64-*.f64--.f64 |
| 180× | neg-sub0-binary64--.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 584 |
| 1 | 119 | 584 |
| 2 | 140 | 584 |
| 3 | 163 | 584 |
| 4 | 196 | 584 |
| 5 | 236 | 584 |
| 6 | 307 | 584 |
| 7 | 468 | 584 |
| 8 | 722 | 584 |
| 9 | 875 | 584 |
| 10 | 1003 | 584 |
| 11 | 1107 | 584 |
| 12 | 1161 | 584 |
| 13 | 1214 | 584 |
| 14 | 1251 | 584 |
| 15 | 1262 | 584 |
| 16 | 1264 | 584 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 t #s(literal 1999999999999999879418332743206357172224 binary64)) (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y))) (fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))))) |
(if (<=.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))) |
(if (<=.f64 t #s(literal -81999999999999996315140137226485455788856138541313166767561319713832050907409038827141034033541783318658357069941371507889162614579981411418112 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)) |
(if (<=.f64 y #s(literal -50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 3794275180128377/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))) |
(if (<=.f64 y #s(literal -4001867083405173/52656145834278593348959013841835216159447547700274555627155488768 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 6463189187793589/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))) |
(if (<=.f64 y #s(literal -7371860416799003/105312291668557186697918027683670432318895095400549111254310977536 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 6463189187793589/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(if (<=.f64 y #s(literal -5800000000000000000 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) (if (<=.f64 y #s(literal 7548785066802179/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))))) |
(if (<=.f64 y #s(literal -5800000000000000000 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) (if (<=.f64 y #s(literal 7548785066802179/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
| Outputs |
|---|
(if (<=.f64 t #s(literal 1999999999999999879418332743206357172224 binary64)) (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y))) (fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))))) |
(if (<=.f64 t #s(literal 1999999999999999879418332743206357172224 binary64)) (-.f64 (/.f64 (/.f64 t z) (*.f64 #s(literal 3 binary64) y)) (-.f64 (/.f64 y (*.f64 #s(literal 3 binary64) z)) x)) (fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)) x))) |
(if (<=.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)))) |
(if (<=.f64 (*.f64 #s(literal 3 binary64) z) #s(literal 39999999999999999321347871798453031921236320962738625287353816798266916864 binary64)) (fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) (-.f64 (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)) (-.f64 (/.f64 y (*.f64 #s(literal 3 binary64) z)) x))) |
(if (<=.f64 t #s(literal -81999999999999996315140137226485455788856138541313166767561319713832050907409038827141034033541783318658357069941371507889162614579981411418112 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)))) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))) |
(if (<=.f64 t #s(literal -81999999999999996315140137226485455788856138541313166767561319713832050907409038827141034033541783318658357069941371507889162614579981411418112 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y)) x)) (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z)))) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal 3 binary64) z))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -1/3 binary64) x)) |
(if (<=.f64 y #s(literal -50000000000000000013304932354183638268701200590600404549065988726744879458156544 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 3794275180128377/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (fma.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64) x)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))) |
(if (<=.f64 y #s(literal -4001867083405173/52656145834278593348959013841835216159447547700274555627155488768 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 6463189187793589/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) #s(approx (- x (/ (- y (/ t y)) (* 3 z))) (/.f64 t (*.f64 (*.f64 #s(literal 3 binary64) z) y))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))) |
(if (<=.f64 y #s(literal -7371860416799003/105312291668557186697918027683670432318895095400549111254310977536 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 6463189187793589/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 t (*.f64 z y)) #s(literal 1/3 binary64))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))) |
(if (<=.f64 y #s(literal -7371860416799003/105312291668557186697918027683670432318895095400549111254310977536 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 6463189187793589/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 z y)))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(if (<=.f64 y #s(literal -5800000000000000000 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) (if (<=.f64 y #s(literal 7548785066802179/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))))) |
(if (<=.f64 y #s(literal -5800000000000000000 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal -1/3 binary64) y) z)) (if (<=.f64 y #s(literal 7548785066802179/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 y x)) y)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64))))) |
(if (<=.f64 y #s(literal -5800000000000000000 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) (if (<=.f64 y #s(literal 7548785066802179/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 x y)) y)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))))) |
(if (<=.f64 y #s(literal -5800000000000000000 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) (if (<=.f64 y #s(literal 7548785066802179/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(approx (+ (* (/ t z) 1/3) (* y x)) (*.f64 y x)) y)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 y z) #s(literal -1/3 binary64))))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal -1/3 binary64) z) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.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 -1/3 binary64))) |
| 13 512× | lower-fma.f64 |
| 13 512× | 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 | 35 | 183 |
| 0 | 50 | 181 |
| 1 | 188 | 161 |
| 2 | 1721 | 161 |
| 0 | 8535 | 161 |
| 0 | 208 | 5416 |
| 1 | 645 | 4958 |
| 2 | 1903 | 4946 |
| 3 | 6450 | 4946 |
| 0 | 8236 | 4686 |
| 0 | 11 | 42 |
| 0 | 17 | 42 |
| 1 | 69 | 42 |
| 2 | 861 | 38 |
| 0 | 9318 | 37 |
| 0 | 184 | 5274 |
| 1 | 563 | 4678 |
| 2 | 1711 | 4662 |
| 3 | 5465 | 4602 |
| 0 | 8783 | 4360 |
| 0 | 33 | 177 |
| 0 | 51 | 173 |
| 1 | 213 | 165 |
| 2 | 2437 | 165 |
| 0 | 8461 | 157 |
| 0 | 102 | 1348 |
| 1 | 307 | 1262 |
| 2 | 876 | 1262 |
| 3 | 2799 | 1262 |
| 4 | 6352 | 1262 |
| 0 | 8213 | 1196 |
| 0 | 44 | 226 |
| 0 | 64 | 226 |
| 1 | 239 | 206 |
| 2 | 2083 | 206 |
| 0 | 8551 | 201 |
| 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× | 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 795 to 439 computations (44.8% saved)
Compiled 638 to 206 computations (67.7% saved)
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