
Time bar (total: 11.5s)
| 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)
| 1.1s | 8 256× | 0 | valid |
ival-mult: 406.0ms (45.9% of total)ival-add: 248.0ms (28% of total)ival-div: 157.0ms (17.8% of total)ival-sub: 60.0ms (6.8% of total)ival-true: 6.0ms (0.7% of total)exact: 5.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| 1× | egg-herbie |
| 2 112× | lower-fma.f64 |
| 2 112× | lower-fma.f32 |
| 1 152× | lower-*.f32 |
| 1 148× | lower-*.f64 |
| 1 100× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 222 |
| 1 | 209 | 210 |
| 2 | 609 | 210 |
| 3 | 1702 | 174 |
| 4 | 4679 | 168 |
| 5 | 7740 | 168 |
| 0 | 11 | 15 |
| 0 | 17 | 15 |
| 1 | 30 | 15 |
| 2 | 69 | 15 |
| 3 | 139 | 15 |
| 4 | 327 | 15 |
| 5 | 736 | 13 |
| 6 | 2052 | 11 |
| 7 | 2750 | 11 |
| 8 | 3078 | 11 |
| 9 | 3329 | 11 |
| 10 | 3509 | 11 |
| 11 | 3525 | 11 |
| 12 | 3586 | 11 |
| 13 | 3702 | 11 |
| 14 | 3752 | 11 |
| 15 | 3764 | 11 |
| 16 | 3764 | 11 |
| 17 | 3764 | 11 |
| 18 | 3764 | 11 |
| 0 | 3764 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| Outputs |
|---|
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 20 | 0 | - | 2 | (-1.1543044952152726e-237 -1.659344967270426e-302 -8.630119799861076e-16 -1.6636201381588507e-44) | (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) |
| 2 | 0 | - | 0 | - | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 0 | 0 | - | 0 | - | (/.f64 y (*.f64 z #s(literal 3 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 z #s(literal 3 binary64)) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) | n/u | 7 | 0 |
| ↳ | (*.f64 (*.f64 z #s(literal 3 binary64)) y) | underflow | 26 | |
+.f64 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) | nan-rescue | 2 | 0 |
| ↳ | (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) | overflow | 26 | |
| ↳ | (/.f64 y (*.f64 z #s(literal 3 binary64))) | overflow | 26 | |
| ↳ | (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) | overflow | 45 | |
| ↳ | (*.f64 (*.f64 z #s(literal 3 binary64)) y) | overflow | 30 | |
/.f64 | (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) | n/o | 1 | 0 |
| ↳ | (*.f64 (*.f64 z #s(literal 3 binary64)) y) | overflow | 30 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 10 | 2 |
| - | 0 | 244 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 10 | 0 | 2 |
| - | 0 | 0 | 244 |
| number | freq |
|---|---|
| 0 | 246 |
| 1 | 10 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 56.0ms | 512× | 0 | valid |
Compiled 136 to 48 computations (64.7% saved)
ival-div: 7.0ms (36.3% of total)ival-mult: 7.0ms (36.3% of total)ival-sub: 2.0ms (10.4% of total)ival-add: 2.0ms (10.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.7% | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
Compiled 19 to 11 computations (42.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 z #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 y (*.f64 z #s(literal 3 binary64))) |
| ✓ | cost-diff | 128 | (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
| ✓ | cost-diff | 640 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 2 112× | lower-fma.f64 |
| 2 112× | lower-fma.f32 |
| 1 152× | lower-*.f32 |
| 1 148× | lower-*.f64 |
| 722× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 47 |
| 0 | 17 | 47 |
| 1 | 30 | 47 |
| 2 | 69 | 47 |
| 3 | 139 | 47 |
| 4 | 327 | 47 |
| 5 | 736 | 45 |
| 6 | 2052 | 43 |
| 7 | 2750 | 43 |
| 8 | 3078 | 43 |
| 9 | 3329 | 43 |
| 10 | 3509 | 43 |
| 11 | 3525 | 43 |
| 12 | 3586 | 43 |
| 13 | 3702 | 43 |
| 14 | 3752 | 43 |
| 15 | 3764 | 43 |
| 16 | 3764 | 43 |
| 17 | 3764 | 43 |
| 18 | 3764 | 43 |
| 0 | 3764 | 41 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
x |
(/.f64 y (*.f64 z #s(literal 3 binary64))) |
y |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) |
t |
(*.f64 (*.f64 z #s(literal 3 binary64)) y) |
| Outputs |
|---|
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(/.f64 y (*.f64 z #s(literal 3 binary64))) |
y |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) |
(/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) |
t |
(*.f64 (*.f64 z #s(literal 3 binary64)) y) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 z #s(literal 3 binary64)) y) |
| ✓ | accuracy | 99.6% | (/.f64 y (*.f64 z #s(literal 3 binary64))) |
| ✓ | accuracy | 99.3% | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| ✓ | accuracy | 92.9% | (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) |
| 28.0ms | 256× | 0 | valid |
Compiled 49 to 13 computations (73.5% saved)
ival-div: 3.0ms (31.2% of total)ival-mult: 3.0ms (31.2% of total)ival-sub: 1.0ms (10.4% of total)ival-add: 1.0ms (10.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) (taylor inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) (taylor -inf x) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (/ t z)) (* x y)) y) (taylor 0 y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) (taylor 0 y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) (taylor 0 y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ y z)) (taylor inf y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ y z)) (taylor -inf y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) (taylor 0 z) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) (taylor 0 z) (#s(alt (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (/ y z)) (taylor inf z) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ y z)) (taylor inf z) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ y z)) (taylor inf z) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ y z)) (taylor -inf z) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ y z)) (taylor -inf z) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ y z)) (taylor -inf z) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ y z)) (taylor -inf z) (#s(alt (/.f64 y (*.f64 z #s(literal 3 binary64))) (patch (/.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor 0 z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor inf z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor inf z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor inf z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor inf z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 z) (taylor -inf z) (#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf t) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#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 0 z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf z) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf y) (#s(alt (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor 0 z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor inf z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor inf z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor inf z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor inf z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor -inf z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor -inf z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor -inf z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor -inf z) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor 0 y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor 0 y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor 0 y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor 0 y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor -inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor -inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor -inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor -inf y) (#s(alt (*.f64 (*.f64 z #s(literal 3 binary64)) y) (patch (*.f64 (*.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())) ()) |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | (/ y (* z 3)) |
| 1.0ms | z | @ | inf | (* z 3) |
| 1.0ms | z | @ | 0 | (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) |
| 1.0ms | x | @ | 0 | (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) |
| 1.0ms | y | @ | 0 | (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) |
| 1× | egg-herbie |
| 10 462× | lower-fma.f64 |
| 10 462× | lower-fma.f32 |
| 3 274× | lower-*.f64 |
| 3 274× | lower-*.f32 |
| 2 252× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 1412 |
| 1 | 307 | 1322 |
| 2 | 875 | 1322 |
| 3 | 2795 | 1262 |
| 4 | 6348 | 1262 |
| 0 | 8216 | 1196 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1/3 (/ y z)) |
(- x (* 1/3 (/ y z))) |
(- x (* 1/3 (/ y z))) |
(- x (* 1/3 (/ y z))) |
x |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1/3 (/ y z)) |
(/ (- (* x z) (* 1/3 y)) z) |
(/ (- (* x z) (* 1/3 y)) z) |
(/ (- (* x z) (* 1/3 y)) z) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 1/3 (/ y z)) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
| Outputs |
|---|
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t z) (*.f64 y x)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 (*.f64 #s(literal 1/3 binary64) t) z)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 (*.f64 #s(literal 1/3 binary64) t) z)) y) |
(* -1/3 (/ y z)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* -1/3 (/ y z)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
x |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(- x (* 1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (/.f64 (fma.f64 y #s(literal -1/3 binary64) (*.f64 z x)) (*.f64 t z)))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (/.f64 (fma.f64 y #s(literal -1/3 binary64) (*.f64 z x)) (*.f64 t z)))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (/.f64 (fma.f64 y #s(literal -1/3 binary64) (*.f64 z x)) (*.f64 t z)))) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (/.f64 (fma.f64 y #s(literal -1/3 binary64) (*.f64 z x)) (*.f64 t z)))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (/.f64 (fma.f64 y #s(literal -1/3 binary64) (*.f64 z x)) (*.f64 t z)))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(*.f64 t (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (/.f64 (fma.f64 y #s(literal -1/3 binary64) (*.f64 z x)) (*.f64 t z)))) |
(* -1/3 (/ y z)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(- x (* 1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(- x (* 1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(- x (* 1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1/3 (/ y z)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1/3 (/ y z)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1/3 (/ y z)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(/ (- (* x z) (* 1/3 y)) z) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(/ (- (* x z) (* 1/3 y)) z) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(/ (- (* x z) (* 1/3 y)) z) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(+ x (* -1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) y) z) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
| 1× | batch-egg-rewrite |
| 10 320× | lower-fma.f64 |
| 10 320× | lower-fma.f32 |
| 6 744× | lower-*.f32 |
| 6 740× | lower-*.f64 |
| 4 744× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 42 |
| 0 | 17 | 42 |
| 1 | 69 | 42 |
| 2 | 861 | 38 |
| 0 | 9318 | 37 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
(/.f64 y (*.f64 z #s(literal 3 binary64))) |
(*.f64 z #s(literal 3 binary64)) |
(/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) y) |
| Outputs |
|---|
(+.f64 x (neg.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))) |
(+.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(+.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(+.f64 (/.f64 y (*.f64 z #s(literal -3 binary64))) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(+.f64 (/.f64 (*.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (+.f64 x (/.f64 (-.f64 (neg.f64 y) (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))) (neg.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 z #s(literal 9 binary64)) y) (*.f64 z y))) (+.f64 x (/.f64 (-.f64 (neg.f64 y) (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))))) |
(+.f64 (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) x) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
(+.f64 (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (/.f64 y (*.f64 z #s(literal -3 binary64)))) x) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(-.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 t (*.f64 (*.f64 y z) #s(literal -3 binary64)))) |
(-.f64 (/.f64 (*.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (+.f64 x (/.f64 (-.f64 (neg.f64 y) (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))) (/.f64 (/.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 z #s(literal 9 binary64)) y) (*.f64 z y))) (+.f64 x (/.f64 (-.f64 (neg.f64 y) (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (*.f64 x x))) (-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z (*.f64 z #s(literal 9 binary64))))) (fma.f64 y (*.f64 (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (*.f64 x x))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (-.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(-.f64 (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) x) (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) x)))) (/.f64 (*.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (*.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))) (fma.f64 x x (*.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (+.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 z #s(literal 9 binary64)) y) (*.f64 z y))) (-.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x))) (/.f64 (*.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (-.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))) (/.f64 (*.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (+.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))))) |
(-.f64 (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (*.f64 x x)))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z (*.f64 z #s(literal 9 binary64))))) (fma.f64 y (*.f64 (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (*.f64 x x)))) |
(-.f64 (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x))) (/.f64 (/.f64 (*.f64 y y) (*.f64 z (*.f64 z #s(literal 9 binary64)))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x))) |
(-.f64 (+.f64 (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) x) #s(literal 0 binary64)) (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) #s(literal 1 binary64) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 t (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) #s(literal -3 binary64))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (neg.f64 t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) #s(literal -3 binary64))) #s(literal 1 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (*.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 (neg.f64 y) (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))) (neg.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 z #s(literal 9 binary64)) y) (*.f64 z y))) (+.f64 x (/.f64 (-.f64 (neg.f64 y) (/.f64 t y)) (*.f64 z #s(literal 3 binary64))))))) |
(fma.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z #s(literal -3 binary64)) (*.f64 z (*.f64 z #s(literal 9 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (*.f64 x x))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z #s(literal -3 binary64)) (*.f64 z (*.f64 z #s(literal 9 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 y (*.f64 (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (*.f64 x x)) (*.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (*.f64 x x)))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z #s(literal -3 binary64))) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (neg.f64 y) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 t y) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (pow.f64 (/.f64 y t) #s(literal -1 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) t (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (fma.f64 x x (/.f64 (*.f64 y y) (*.f64 z (*.f64 z #s(literal -9 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 x x (/.f64 (*.f64 y y) (*.f64 z (*.f64 z #s(literal -9 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) #s(literal 1 binary64)) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x) (*.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z #s(literal 3 binary64))) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 t (*.f64 (*.f64 y z) #s(literal -3 binary64))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 y (neg.f64 z)) #s(literal 1/3 binary64) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 t (*.f64 z #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (neg.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z #s(literal -3 binary64)) (*.f64 z (*.f64 z #s(literal 9 binary64))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal 1/3 binary64) z) x)) (*.f64 x x)))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 (neg.f64 (fma.f64 x x (/.f64 (*.f64 y y) (*.f64 z (*.f64 z #s(literal -9 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) (neg.f64 x))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 t (*.f64 z #s(literal 3 binary64))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) t) #s(literal -1 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 t (*.f64 y #s(literal 3 binary64))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) (/.f64 t (neg.f64 y)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 t z) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (*.f64 t #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z y)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 t y) (/.f64 #s(literal 1/3 binary64) z) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y #s(literal 1/3 binary64)) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 t (*.f64 y #s(literal -3 binary64))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 t (*.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 t (*.f64 z #s(literal -3 binary64))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
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(neg.f64 (*.f64 z #s(literal -3 binary64))) |
(/.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 z #s(literal -3 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) z)) |
(*.f64 z #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) z) |
(*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 z))) |
(*.f64 #s(literal 3 binary64) (*.f64 z #s(literal 1 binary64))) |
(*.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 z #s(literal -3 binary64))) |
(*.f64 (neg.f64 z) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) (neg.f64 z)) |
(*.f64 (neg.f64 (neg.f64 z)) #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) t)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 t (*.f64 (*.f64 y z) #s(literal -3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 y z) #s(literal -3 binary64))) (/.f64 t (*.f64 (*.f64 y z) #s(literal -3 binary64)))) |
(neg.f64 (/.f64 t (*.f64 (*.f64 y z) #s(literal -3 binary64)))) |
(neg.f64 (*.f64 (/.f64 t (*.f64 (*.f64 y z) #s(literal -3 binary64))) #s(literal 1 binary64))) |
(/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) |
(/.f64 (neg.f64 t) (*.f64 (*.f64 y z) #s(literal -3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) t)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3 binary64)) (/.f64 t z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) (/.f64 t y))) |
(/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 y z) #s(literal -3 binary64)) t)) |
(/.f64 (/.f64 t (*.f64 z #s(literal -3 binary64))) (neg.f64 y)) |
(/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (/.f64 t y) (*.f64 z #s(literal 3 binary64))) |
(/.f64 (neg.f64 (/.f64 t z)) (*.f64 y #s(literal -3 binary64))) |
(/.f64 (neg.f64 (/.f64 t y)) (*.f64 z #s(literal -3 binary64))) |
(/.f64 (*.f64 t #s(literal -1 binary64)) (*.f64 (*.f64 y z) #s(literal -3 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 t z)) (*.f64 y #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z #s(literal -3 binary64)))) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) |
(pow.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) t) #s(literal -1 binary64)) |
(*.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(*.f64 t (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) #s(literal -3 binary64)))) |
(*.f64 (neg.f64 t) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) #s(literal -3 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 t y)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (pow.f64 (/.f64 y t) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) t) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64))) |
(*.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 t (*.f64 (*.f64 y z) #s(literal -3 binary64)))) |
(*.f64 (/.f64 t (*.f64 z #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 t (*.f64 z #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) t) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 t (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) z) (/.f64 t (neg.f64 y))) |
(*.f64 (/.f64 t z) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (*.f64 t #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) |
(*.f64 (/.f64 t y) (/.f64 #s(literal 1/3 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 t (*.f64 y #s(literal -3 binary64)))) |
(*.f64 (/.f64 t (*.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 t (*.f64 z #s(literal -3 binary64)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) t) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) t) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y z) #s(literal -3 binary64))) |
(neg.f64 (*.f64 (*.f64 y z) #s(literal -3 binary64))) |
(/.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 y z) #s(literal -3 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(*.f64 z (neg.f64 (*.f64 y #s(literal -3 binary64)))) |
(*.f64 #s(literal 3 binary64) (*.f64 y z)) |
(*.f64 #s(literal 3 binary64) (*.f64 z y)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) y) |
(*.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (*.f64 z #s(literal -3 binary64))) |
(*.f64 (*.f64 z #s(literal -3 binary64)) (neg.f64 y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) |
(*.f64 (*.f64 y #s(literal 3 binary64)) z) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y z) #s(literal -3 binary64))) |
(*.f64 (neg.f64 z) (*.f64 y #s(literal -3 binary64))) |
(*.f64 (*.f64 y z) #s(literal 3 binary64)) |
(*.f64 (*.f64 z y) #s(literal 3 binary64)) |
(*.f64 (neg.f64 (neg.f64 z)) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 y #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) z) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 3 binary64)) |
Compiled 14 647 to 1 073 computations (92.7% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 533 | 15 | 548 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 534 | 15 | 549 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.6% | (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
| 95.7% | (fma.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) | |
| ▶ | 95.6% | (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
| 96.1% | (fma.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) #s(literal -3 binary64))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) | |
| ▶ | 96.9% | (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
| 95.6% | (+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) | |
| 95.8% | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64)))) | |
| 67.5% | (+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) | |
| 96.8% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)) | |
| 62.2% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) | |
| 82.1% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x)) | |
| 61.0% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t z) (*.f64 y x)) y)) | |
| 37.3% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) | |
| ▶ | 68.3% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) |
| ▶ | 33.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
Compiled 482 to 314 computations (34.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 y z) |
| ✓ | cost-diff | 128 | (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
| ✓ | cost-diff | 512 | (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
| ✓ | cost-diff | 0 | (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (/.f64 t (*.f64 y z)) |
| ✓ | cost-diff | 512 | (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 t y) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/3 binary64) z) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
| ✓ | cost-diff | 0 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/3 binary64) z) |
| ✓ | cost-diff | 0 | (*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
| ✓ | cost-diff | 0 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
| ✓ | cost-diff | 0 | (/.f64 t y) |
| ✓ | cost-diff | 0 | (-.f64 y (/.f64 t y)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) |
| ✓ | cost-diff | 128 | (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
| 2 112× | lower-fma.f32 |
| 2 106× | lower-fma.f64 |
| 1 152× | lower-*.f32 |
| 1 142× | lower-*.f64 |
| 592× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 200 |
| 0 | 56 | 187 |
| 1 | 103 | 187 |
| 2 | 202 | 187 |
| 3 | 352 | 187 |
| 4 | 749 | 187 |
| 5 | 1771 | 187 |
| 6 | 3585 | 187 |
| 7 | 3975 | 187 |
| 8 | 4127 | 187 |
| 9 | 4184 | 187 |
| 10 | 4187 | 187 |
| 11 | 4187 | 187 |
| 12 | 4235 | 187 |
| 13 | 4263 | 187 |
| 14 | 4263 | 187 |
| 15 | 4263 | 187 |
| 16 | 4299 | 187 |
| 17 | 4459 | 187 |
| 18 | 4459 | 187 |
| 0 | 4459 | 181 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
x |
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) |
(-.f64 y (/.f64 t y)) |
y |
(/.f64 t y) |
t |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
y |
(/.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
z |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(/.f64 #s(literal 1/3 binary64) z) |
#s(literal 1/3 binary64) |
z |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(/.f64 t (*.f64 y z)) |
t |
(*.f64 y z) |
y |
z |
#s(literal 1/3 binary64) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(/.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
x |
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(/.f64 y z) |
y |
z |
#s(literal -1/3 binary64) |
(+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
x |
(/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) |
t |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(*.f64 z #s(literal 3 binary64)) |
#s(literal 3 binary64) |
| Outputs |
|---|
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
x |
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) |
(-.f64 y (/.f64 t y)) |
y |
(/.f64 t y) |
t |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
y |
(/.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
z |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal -3 binary64))) |
(/.f64 #s(literal 1/3 binary64) z) |
#s(literal 1/3 binary64) |
z |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(/.f64 t (*.f64 y z)) |
t |
(*.f64 y z) |
y |
z |
#s(literal 1/3 binary64) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(/.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
x |
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(/.f64 y z) |
y |
z |
#s(literal -1/3 binary64) |
(+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) x) |
x |
(/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
t |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(*.f64 z #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
| ✓ | accuracy | 99.7% | (*.f64 y (*.f64 z #s(literal 3 binary64))) |
| ✓ | accuracy | 99.2% | (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
| ✓ | accuracy | 92.9% | (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) |
| ✓ | accuracy | 99.9% | (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal -1/3 binary64) z) |
| ✓ | accuracy | 99.2% | (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
| ✓ | accuracy | 92.9% | (/.f64 t (*.f64 y z)) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 t y) y) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal 1/3 binary64) z) |
| ✓ | accuracy | 96.7% | (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
| ✓ | accuracy | 71.5% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) |
| ✓ | accuracy | 99.7% | (*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal -1/3 binary64) z) |
| ✓ | accuracy | 33.7% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
| ✓ | accuracy | 100.0% | (-.f64 y (/.f64 t y)) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal 3 binary64)) |
| ✓ | accuracy | 96.8% | (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) |
| 114.0ms | 256× | 0 | valid |
Compiled 190 to 35 computations (81.6% saved)
ival-div: 28.0ms (48.5% of total)ival-mult: 14.0ms (24.3% of total)const: 6.0ms (10.4% of total)ival-add: 5.0ms (8.7% of total)ival-sub: 4.0ms (6.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 y (/.f64 t y)) (patch (-.f64 y (/.f64 t y)) #<representation binary64>) () ()) |
#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (/.f64 #s(literal -1/3 binary64) z)) (patch (*.f64 y (/.f64 #s(literal -1/3 binary64) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/3 binary64) z) (patch (/.f64 #s(literal -1/3 binary64) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) (patch (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/3 binary64) z) (patch (/.f64 #s(literal 1/3 binary64) z) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 t y) y) (patch (-.f64 (/.f64 t y) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (patch (fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 t (*.f64 y z)) (patch (/.f64 t (*.f64 y z)) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (patch (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) (patch (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) (patch (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (patch (/.f64 t (*.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 y (*.f64 z #s(literal 3 binary64))) (patch (*.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1/3 (/ (- y (/ t y)) z)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 1/3 (/ (- y (/ t y)) z))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 1/3 (/ (- y (/ t y)) z))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 1/3 (/ (- y (/ t y)) z))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x y) (* -1/3 (/ t z))) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ y z)) (taylor inf y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ y z)) (taylor -inf y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 1/3 (/ y z))) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) (taylor -inf t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) (taylor -inf t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) (taylor -inf t) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ (- y (/ t y)) z)) (taylor 0 z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x z) (* 1/3 (- y (/ t y)))) z) (taylor 0 z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x z) (* 1/3 (- y (/ t y)))) z) (taylor 0 z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x z) (* 1/3 (- y (/ t y)))) z) (taylor 0 z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/3 (/ (- y (/ t y)) z))) (taylor inf z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/3 (/ (- y (/ t y)) z))) (taylor inf z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/3 (/ (- y (/ t y)) z))) (taylor inf z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/3 (/ (- y (/ t y)) z))) (taylor -inf z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/3 (/ (- y (/ t y)) z))) (taylor -inf z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1/3 (/ (- y (/ t y)) z))) (taylor -inf z) (#s(alt (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) (patch (-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ t (* y z))) (taylor 0 y) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ y z)) (taylor inf y) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (patch (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* 3 (* y z)) (taylor -inf z) (#s(alt (*.f64 y (*.f64 z #s(literal 3 binary64))) (patch (*.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 3 (* y z)) (taylor -inf z) (#s(alt (*.f64 y (*.f64 z #s(literal 3 binary64))) (patch (*.f64 y (*.f64 z #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
168 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | t | @ | inf | (* (/ 1/3 z) (- (/ t y) y)) |
| 3.0ms | z | @ | -inf | (- x (/ (- y (/ t y)) (* z 3))) |
| 1.0ms | t | @ | inf | (- x (/ (- y (/ t y)) (* z 3))) |
| 1.0ms | x | @ | 0 | (- x (/ (- y (/ t y)) (* z 3))) |
| 1.0ms | z | @ | 0 | (* (/ 1/3 z) (- (/ t y) y)) |
| 1× | egg-herbie |
| 6 002× | lower-fma.f64 |
| 6 002× | lower-fma.f32 |
| 4 142× | lower-*.f64 |
| 4 142× | lower-*.f32 |
| 1 702× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 213 | 5028 |
| 1 | 620 | 5028 |
| 2 | 1791 | 4826 |
| 3 | 5985 | 4664 |
| 0 | 8232 | 4413 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/3 (/ (- y (/ t y)) z)) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
x |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
x |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (- (* x y) (* -1/3 (/ t z))) y) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1/3 (/ (- y (/ t y)) z)) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
x |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
x |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(* -1/3 (/ t (* y z))) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(* 1/3 (/ y z)) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* 1/3 (/ y z)) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* 1/3 (/ y z)) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(+ (* -1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(* -1/3 (/ t (* y z))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* -1/3 (/ t (* y z))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* 1/3 (/ (- y (/ t y)) z)) |
(* -1 (/ t y)) |
(/ (- (pow y 2) t) y) |
(/ (- (pow y 2) t) y) |
(/ (- (pow y 2) t) y) |
y |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
(* y (+ 1 (* -1 (/ t (pow y 2))))) |
y |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
(* -1 (* y (- (/ t (pow y 2)) 1))) |
y |
(+ y (* -1 (/ t y))) |
(+ y (* -1 (/ t y))) |
(+ y (* -1 (/ t y))) |
(* -1 (/ t y)) |
(* t (- (/ y t) (/ 1 y))) |
(* t (- (/ y t) (/ 1 y))) |
(* t (- (/ y t) (/ 1 y))) |
(* -1 (/ t y)) |
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y)))) |
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y)))) |
(* -1 (* t (+ (* -1 (/ y t)) (/ 1 y)))) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* -1/3 (/ y z)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(* 1/3 (/ t (* y z))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(* -1/3 (/ y z)) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(* -1 y) |
(- (/ t y) y) |
(- (/ t y) y) |
(- (/ t y) y) |
(/ t y) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(/ t y) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(/ t y) |
(/ (+ t (* -1 (pow y 2))) y) |
(/ (+ t (* -1 (pow y 2))) y) |
(/ (+ t (* -1 (pow y 2))) y) |
(* -1 y) |
(* y (- (/ t (pow y 2)) 1)) |
(* y (- (/ t (pow y 2)) 1)) |
(* y (- (/ t (pow y 2)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(+ x (* -1/3 (/ y z))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(* 1/3 (/ t (* y z))) |
(* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t)))) |
(* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t)))) |
(* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t)))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(/ (+ (* -1/3 y) (* 1/3 (/ t y))) z) |
(/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z) |
(/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z) |
(/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z) |
x |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
x |
(+ x (* -1 (/ (+ (* -1/3 (/ t y)) (* 1/3 y)) z))) |
(+ x (* -1 (/ (+ (* -1/3 (/ t y)) (* 1/3 y)) z))) |
(+ x (* -1 (/ (+ (* -1/3 (/ t y)) (* 1/3 y)) z))) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
x |
(* x (+ 1 (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z))))))) |
(* x (+ 1 (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z))))))) |
(* x (+ 1 (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z))))))) |
x |
(* -1 (* x (- (* -1 (/ (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) x)) 1))) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(/ t (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1/3 (/ y z)) |
(/ (+ (* -1/3 y) (* x z)) z) |
(/ (+ (* -1/3 y) (* x z)) z) |
(/ (+ (* -1/3 y) (* x z)) z) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(* -1/3 (/ y z)) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
x |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(/ (+ (* -1/3 y) (* 1/3 (/ t y))) z) |
(/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z) |
(/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z) |
(/ (+ (* -1/3 y) (+ (* 1/3 (/ t y)) (* x z))) z) |
x |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
x |
(+ x (* -1 (/ (+ (* -1/3 (/ t y)) (* 1/3 y)) z))) |
(+ x (* -1 (/ (+ (* -1/3 (/ t y)) (* 1/3 y)) z))) |
(+ x (* -1 (/ (+ (* -1/3 (/ t y)) (* 1/3 y)) z))) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
x |
(* x (+ 1 (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z))))))) |
(* x (+ 1 (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z))))))) |
(* x (+ 1 (+ (* -1/3 (/ y (* x z))) (* 1/3 (/ t (* x (* y z))))))) |
x |
(* -1 (* x (- (* -1 (/ (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) x)) 1))) |
(+ x (* -1/3 (/ y z))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(+ x (+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z))))) |
(* 1/3 (/ t (* y z))) |
(* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t)))) |
(* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t)))) |
(* t (+ (* -1/3 (/ y (* t z))) (+ (* 1/3 (/ 1 (* y z))) (/ x t)))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (+ x (* -1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ t (* y z))) |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y 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 |
(* -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 |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(* 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))) |
(* -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))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
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)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ 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) |
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)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(+ x (* 1/3 (/ t (* y z)))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
(* 3 (* y z)) |
| Outputs |
|---|
(* -1/3 (/ (- y (/ t y)) z)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z)) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
x |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
x |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(* -1 (* x (- (* 1/3 (/ (- y (/ t y)) (* x z))) 1))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(* 1/3 (/ t (* y z))) |
(*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
(/ (- (* x y) (* -1/3 (/ t z))) y) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(* -1/3 (/ y z)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(* -1/3 (/ y z)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(- x (* 1/3 (/ y z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(* 1/3 (/ t (* y z))) |
(*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(* 1/3 (/ t (* y z))) |
(*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(* -1/3 (/ (- y (/ t y)) z)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z)) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
x |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
x |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(* -1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) t) (*.f64 y z)) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal 1/3 binary64)) z) (/.f64 (*.f64 #s(literal -1/3 binary64) t) z)) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal 1/3 binary64)) z) (/.f64 (*.f64 #s(literal -1/3 binary64) t) z)) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal 1/3 binary64)) z) (/.f64 (*.f64 #s(literal -1/3 binary64) t) z)) y) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) z) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 1/3 binary64)) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 1/3 binary64)) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 1/3 binary64)) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) z) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 1/3 binary64)) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 1/3 binary64)) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 1/3 binary64)) |
(* 1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) z) |
(+ (* -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)) |
(* -1/3 (/ t (* y z))) |
(/.f64 (*.f64 #s(literal -1/3 binary64) t) (*.f64 y z)) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(*.f64 (/.f64 (-.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 #s(literal -1/3 binary64) t) (*.f64 y z)) |
(* -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)) z)) |
(*.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal 1/3 binary64)) |
(* 1/3 (/ (- y (/ t y)) z)) |
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(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(* 3 (* y z)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
| 1× | batch-egg-rewrite |
| 7 488× | lower-fma.f32 |
| 7 482× | lower-fma.f64 |
| 5 574× | lower-/.f32 |
| 5 560× | lower-/.f64 |
| 3 672× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 167 |
| 0 | 56 | 154 |
| 1 | 263 | 154 |
| 2 | 2758 | 154 |
| 0 | 8629 | 148 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) |
(-.f64 y (/.f64 t y)) |
(/.f64 t y) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) z)) |
(/.f64 #s(literal -1/3 binary64) z) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(/.f64 #s(literal 1/3 binary64) z) |
(-.f64 (/.f64 t y) y) |
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(/.f64 t (*.f64 y z)) |
(*.f64 y z) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(/.f64 y z) |
(/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) |
(*.f64 z #s(literal 3 binary64)) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) z) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
(+.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(+.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(+.f64 (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
(+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) x) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(-.f64 (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) (/.f64 y (*.f64 z #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 t #s(literal 1/3 binary64))) (*.f64 (*.f64 y z) (*.f64 y z))) (-.f64 (/.f64 (-.f64 (/.f64 t (neg.f64 y)) y) (*.f64 z #s(literal -3 binary64))) x)) (/.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (-.f64 (/.f64 (-.f64 (/.f64 t (neg.f64 y)) y) (*.f64 z #s(literal -3 binary64))) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z #s(literal 3 binary64)))) (-.f64 (/.f64 (-.f64 y (/.f64 t (neg.f64 y))) (*.f64 z #s(literal -3 binary64))) x)) (/.f64 (*.f64 (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) (-.f64 (/.f64 (-.f64 y (/.f64 t (neg.f64 y))) (*.f64 z #s(literal -3 binary64))) x))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal -1/3 binary64) z) x)))) (/.f64 (/.f64 (*.f64 (-.f64 (/.f64 t y) y) (*.f64 (-.f64 y (/.f64 t y)) (-.f64 y (/.f64 t y)))) (*.f64 (*.f64 z (*.f64 z z)) #s(literal -27 binary64))) (fma.f64 x x (*.f64 (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal -1/3 binary64) z) x))))) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (+.f64 x (/.f64 (-.f64 y (/.f64 t (neg.f64 y))) (*.f64 z #s(literal -3 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 t #s(literal 1/3 binary64))) (*.f64 (*.f64 y z) (*.f64 y z))) (+.f64 x (/.f64 (-.f64 y (/.f64 t (neg.f64 y))) (*.f64 z #s(literal -3 binary64)))))) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal -1/3 binary64) z) x)) (/.f64 (/.f64 (*.f64 (-.f64 y (/.f64 t y)) (-.f64 y (/.f64 t y))) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal -1/3 binary64) z) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 y (/.f64 t y)) (-.f64 y (/.f64 t y))) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z #s(literal 3 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) x))) |
(-.f64 (/.f64 (*.f64 (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) (-.f64 (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z))) (/.f64 (/.f64 (*.f64 y y) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z #s(literal 3 binary64)))) (-.f64 (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z))) (/.f64 (/.f64 (*.f64 (-.f64 y (/.f64 t y)) (-.f64 y (/.f64 t y))) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z #s(literal 3 binary64)))) (-.f64 x (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
(fma.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 t y) (/.f64 #s(literal 1/3 binary64) z) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z) x) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y z) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z) x) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 t) (*.f64 y z)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 t y) (neg.f64 z)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) y (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) z) (/.f64 t (neg.f64 y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 y (neg.f64 z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (neg.f64 y) z) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 t y) y)) x) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) z) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
(fma.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -3 binary64)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x) |
(fma.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/27 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (-.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) x) (*.f64 x x))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
(fma.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 27 binary64) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) (/.f64 (*.f64 y y) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z #s(literal 3 binary64)))))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 x (*.f64 x x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 27 binary64) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (*.f64 z #s(literal 3 binary64))) (fma.f64 #s(literal 1/3 binary64) (/.f64 y z) x) (*.f64 x x))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 t y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) t) #s(literal -1 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 t (*.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 (/.f64 t y) y) #s(literal 3 binary64)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y #s(literal -3 binary64)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 t #s(literal 3 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (pow.f64 (/.f64 #s(literal 3 binary64) t) #s(literal -1 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 t y) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) t (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 t (*.f64 z #s(literal 3 binary64))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 t (neg.f64 y)) (/.f64 #s(literal -1/3 binary64) z) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 t #s(literal 1/3 binary64))) (*.f64 (*.f64 y z) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
(fma.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z #s(literal 3 binary64)))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) z) x)) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 y z) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 y z) x)) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) z) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1 binary64) z) x) |
(fma.f64 (*.f64 t #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y z)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64))) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 z #s(literal 3 binary64))) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
(fma.f64 (/.f64 t z) (/.f64 #s(literal 1/3 binary64) y) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 t z) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 t z) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 t z) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (/.f64 t z) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 t #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y z)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1/3 binary64) z) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 y #s(literal 3 binary64)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
(fma.f64 (/.f64 y (neg.f64 z)) #s(literal 1/3 binary64) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
(fma.f64 (/.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
(fma.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64) x) |
(fma.f64 (/.f64 (neg.f64 t) z) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 3 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 (neg.f64 t) z) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 (neg.f64 t) z) (/.f64 #s(literal 1/3 binary64) (neg.f64 y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 (neg.f64 t) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) z) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 (neg.f64 t) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 z)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 t (*.f64 z #s(literal -3 binary64))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y #s(literal 3 binary64)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) x) |
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(/.f64 (neg.f64 (neg.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (/.f64 t z)) (neg.f64 (*.f64 y #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 t y))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 (/.f64 t y) #s(literal 1/3 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 t))) (neg.f64 (*.f64 y (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 t) #s(literal 1/3 binary64))) (neg.f64 (*.f64 y (neg.f64 z)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) z)) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 (/.f64 t y) #s(literal 3 binary64))) (neg.f64 z)) |
(pow.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) t) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 3 binary64) (/.f64 z (/.f64 t y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) t) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (/.f64 t (*.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(*.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
(*.f64 (/.f64 t y) (/.f64 #s(literal 1/3 binary64) z)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 t) (*.f64 y z))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 t y) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) z) (/.f64 t (neg.f64 y))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z))) |
(*.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64)) |
(*.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal -3 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 t y) #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 (*.f64 y #s(literal 3 binary64)) t) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 t (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 t #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (pow.f64 (/.f64 #s(literal 3 binary64) t) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 t y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) t) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 t (*.f64 z #s(literal 3 binary64)))) |
(*.f64 (/.f64 t (neg.f64 y)) (/.f64 #s(literal -1/3 binary64) z)) |
(*.f64 (*.f64 t #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 t z) (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 (/.f64 t z) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) |
(*.f64 (/.f64 t z) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 t z)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (/.f64 t z)) |
(*.f64 (/.f64 t #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 (neg.f64 t) z) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (neg.f64 t) z) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))) |
(*.f64 (/.f64 (neg.f64 t) z) (/.f64 #s(literal 1/3 binary64) (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 t) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) z)) |
(*.f64 (/.f64 (neg.f64 t) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 t (*.f64 z #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 t (neg.f64 (*.f64 y #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 t y) #s(literal -3 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z #s(literal 3 binary64))) (/.f64 t (neg.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z)) (/.f64 t #s(literal -3 binary64))) |
(*.f64 (/.f64 t #s(literal -3 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) z)) |
(*.f64 (/.f64 t (*.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 t (neg.f64 z)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) |
(*.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z #s(literal 3 binary64)))) |
(*.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(*.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (neg.f64 y)) (/.f64 (neg.f64 t) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal -3 binary64))) |
(/.f64 z #s(literal 1/3 binary64)) |
(/.f64 (neg.f64 z) #s(literal -1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) z)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) z)) |
(/.f64 (neg.f64 (neg.f64 z)) #s(literal 1/3 binary64)) |
(pow.f64 (*.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) z) #s(literal -1 binary64)) |
(*.f64 z #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) z) |
(*.f64 y (*.f64 z #s(literal 3 binary64))) |
(*.f64 z (*.f64 y #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 y z)) |
(*.f64 (*.f64 z #s(literal 3 binary64)) y) |
(*.f64 (*.f64 y z) #s(literal 3 binary64)) |
(*.f64 (*.f64 y #s(literal 3 binary64)) z) |
Compiled 57 325 to 3 065 computations (94.7% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 360 | 15 | 2 375 |
| Fresh | 8 | 2 | 10 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 372 | 18 | 2 390 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.9% | (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) |
| 65.0% | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) | |
| 62.2% | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) | |
| 37.1% | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) | |
| 33.6% | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) | |
| 67.5% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) | |
| 61.0% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t z) (*.f64 y x)) y)) | |
| 68.4% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) | |
| 33.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) | |
| 68.4% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) | |
| ▶ | 37.3% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
| ▶ | 33.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
| ▶ | 33.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 67.5% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (-.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) z) (/.f64 (/.f64 t (*.f64 y z)) #s(literal -3 binary64)))) | |
| 68.4% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 t y) y))) | |
| 37.4% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y)))) | |
| ▶ | 68.3% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y))) |
| ✓ | 33.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
Compiled 466 to 309 computations (33.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) |
| ✓ | cost-diff | 0 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 z #s(literal 3 binary64)) y) |
| ✓ | cost-diff | 0 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) y)) |
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) t) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
| ✓ | cost-diff | 0 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
| ✓ | cost-diff | 0 | (*.f64 z #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 y (*.f64 z #s(literal -3 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 t y) y) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z) |
| ✓ | cost-diff | 128 | (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) |
| ✓ | cost-diff | 384 | (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) |
| 2 240× | lower-fma.f64 |
| 2 240× | lower-fma.f32 |
| 1 280× | lower-*.f32 |
| 1 268× | lower-*.f64 |
| 736× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 213 |
| 0 | 51 | 203 |
| 1 | 95 | 203 |
| 2 | 202 | 203 |
| 3 | 448 | 187 |
| 4 | 1104 | 187 |
| 5 | 3019 | 187 |
| 6 | 3912 | 187 |
| 7 | 4487 | 187 |
| 8 | 4608 | 187 |
| 9 | 4621 | 187 |
| 10 | 4629 | 187 |
| 11 | 4777 | 187 |
| 12 | 4903 | 187 |
| 13 | 5221 | 187 |
| 14 | 5245 | 187 |
| 15 | 5245 | 187 |
| 16 | 5258 | 187 |
| 17 | 5258 | 187 |
| 0 | 5258 | 182 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) |
x |
(/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z) |
(/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
#s(literal -3 binary64) |
z |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
y |
(*.f64 z #s(literal -3 binary64)) |
z |
#s(literal -3 binary64) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(*.f64 #s(literal 1/3 binary64) t) |
#s(literal 1/3 binary64) |
t |
(*.f64 y z) |
y |
z |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) y)) |
#s(literal -1 binary64) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
y |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
#s(literal 1/3 binary64) |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
| Outputs |
|---|
(-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) |
(fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x) |
x |
(/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z) |
(/.f64 (-.f64 (/.f64 t y) y) (*.f64 #s(literal -3 binary64) z)) |
(/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) |
(*.f64 (-.f64 (/.f64 t y) y) #s(literal -1/3 binary64)) |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
#s(literal -3 binary64) |
z |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
(/.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) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(/.f64 (*.f64 t #s(literal 1/3 binary64)) (*.f64 y z)) |
(*.f64 #s(literal 1/3 binary64) t) |
(*.f64 t #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
t |
(*.f64 y z) |
y |
z |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) y)) |
(/.f64 y (*.f64 #s(literal -3 binary64) z)) |
#s(literal -1 binary64) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(*.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
y |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) |
(/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/3 binary64) z) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
#s(literal 1/3 binary64) |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 t y) y) |
| ✓ | accuracy | 99.5% | (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 96.7% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) |
| ✓ | accuracy | 71.5% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y))) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal 3 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 z #s(literal 3 binary64)) y) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) y)) |
| ✓ | accuracy | 33.7% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 1/3 binary64) t) |
| ✓ | accuracy | 92.7% | (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
| ✓ | accuracy | 40.5% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal -3 binary64)) |
| ✓ | accuracy | 99.6% | (/.f64 y (*.f64 z #s(literal -3 binary64))) |
| ✓ | accuracy | 33.7% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 t y) y) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) |
| ✓ | accuracy | 99.8% | (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) |
| ✓ | accuracy | 96.8% | (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z) |
| 74.0ms | 256× | 0 | valid |
Compiled 181 to 32 computations (82.3% saved)
ival-div: 37.0ms (66.1% of total)ival-mult: 10.0ms (17.9% of total)const: 4.0ms (7.1% of total)ival-sub: 3.0ms (5.4% of total)ival-add: 1.0ms (1.8% of total)exact: 1.0ms (1.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z) (patch (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 t y) y) (patch (-.f64 (/.f64 t y) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 z #s(literal -3 binary64))) (patch (/.f64 y (*.f64 z #s(literal -3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 z #s(literal -3 binary64)) (patch (*.f64 z #s(literal -3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/3 binary64) t) (patch (*.f64 #s(literal 1/3 binary64) t) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) y)) (patch (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) y))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(literal -1 binary64) (/.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>) () ()) |
#s(alt (*.f64 z #s(literal 3 binary64)) (patch (*.f64 z #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 y) (taylor 0 t) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ t y)) (* 1/3 y)) (taylor 0 t) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ t y)) (* 1/3 y)) (taylor 0 t) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/3 (/ t y)) (* 1/3 y)) (taylor 0 t) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ t y)) (taylor inf t) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) (taylor inf t) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) (taylor inf t) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) (taylor inf t) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ t y)) (taylor -inf t) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) (taylor -inf t) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) (taylor -inf t) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) (taylor -inf t) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ t y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/3 t) (* 1/3 (pow y 2))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/3 t) (* 1/3 (pow y 2))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/3 t) (* 1/3 (pow y 2))) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 y) (taylor inf y) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 y) (taylor -inf y) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) (taylor -inf y) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) (taylor -inf y) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) (taylor -inf y) (#s(alt (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) (patch (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ (- (/ t y) y) z)) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- x (* -1/3 (/ (- (/ t y) y) z))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- x (* -1/3 (/ (- (/ t y) y) z))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- x (* -1/3 (/ (- (/ t y) y) z))) (taylor 0 x) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) (taylor inf x) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 1/3 (/ y z))) (taylor 0 t) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #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 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #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 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #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 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf t) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) (taylor -inf t) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) (taylor -inf t) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) (taylor -inf t) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x y) (* -1/3 (/ t z))) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ y z)) (taylor inf y) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) (patch (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ y z)) (taylor inf y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) (taylor inf y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/3 (/ y z)) (taylor -inf y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
138 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (- x (/ (/ (- (/ t y) y) -3) z)) |
| 0.0ms | z | @ | 0 | (/ (* z 3) y) |
| 0.0ms | z | @ | -inf | (/ (* z 3) y) |
| 0.0ms | z | @ | inf | (/ (* z 3) y) |
| 0.0ms | t | @ | 0 | (/ (- (/ t y) y) -3) |
| 1× | egg-herbie |
| 11 460× | lower-fma.f64 |
| 11 460× | lower-fma.f32 |
| 4 732× | lower-*.f64 |
| 4 732× | lower-*.f32 |
| 2 202× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 4376 |
| 1 | 542 | 4205 |
| 2 | 1598 | 4189 |
| 3 | 5322 | 4129 |
| 0 | 8753 | 3938 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 y) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(* -1/3 (/ t y)) |
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) |
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) |
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) |
(* -1/3 (/ t y)) |
(* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) |
(* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) |
(* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) |
(* -1/3 (/ t y)) |
(/ (+ (* -1/3 t) (* 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 y) |
(* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) |
(* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) |
(* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) |
(* 1/3 y) |
(* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) |
(* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) |
(* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) |
(* 1/3 (/ (- (/ t y) y) z)) |
(- x (* -1/3 (/ (- (/ t y) y) z))) |
(- x (* -1/3 (/ (- (/ t y) y) z))) |
(- x (* -1/3 (/ (- (/ t y) y) z))) |
x |
(* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) |
(* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) |
(* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) |
x |
(* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1))) |
(* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1))) |
(* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ t (* y z))) |
(/ (- (* x y) (* -1/3 (/ t z))) y) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/ (- (* x z) (* -1/3 (- (/ t y) y))) z) |
(/ (- (* x z) (* -1/3 (- (/ t y) y))) z) |
(/ (- (* x z) (* -1/3 (- (/ t y) y))) z) |
x |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
x |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
(+ x (* 1/3 (/ (- (/ t y) 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))) |
(* -1/3 (/ t (* y z))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* -1/3 (/ t (* y z))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1/3 (/ t (* y z))) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(/ (+ (* -1/3 (/ t z)) (* 1/3 (/ (pow y 2) z))) y) |
(* 1/3 (/ y z)) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* 1/3 (/ y z)) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1/3 (/ (- (/ t y) y) z)) |
(* -1/3 (/ (- (/ t y) y) z)) |
(* -1/3 (/ (- (/ t y) y) z)) |
(* -1/3 (/ (- (/ t y) y) z)) |
(* -1/3 (/ (- (/ t y) y) z)) |
(* -1/3 (/ (- (/ t y) y) z)) |
(* -1/3 (/ (- (/ t y) y) z)) |
(* -1/3 (/ (- (/ t y) y) z)) |
(* -1/3 (/ (- (/ t y) y) z)) |
(* -1/3 (/ (- (/ t y) y) z)) |
(* -1/3 (/ (- (/ t y) y) z)) |
(* -1/3 (/ (- (/ t y) y) z)) |
(* -1 y) |
(- (/ t y) y) |
(- (/ t y) y) |
(- (/ t y) y) |
(/ t y) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
(/ t y) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(* -1 (* t (- (/ y t) (/ 1 y)))) |
(/ t y) |
(/ (+ t (* -1 (pow y 2))) y) |
(/ (+ t (* -1 (pow y 2))) y) |
(/ (+ t (* -1 (pow y 2))) y) |
(* -1 y) |
(* y (- (/ t (pow y 2)) 1)) |
(* y (- (/ t (pow y 2)) 1)) |
(* y (- (/ t (pow y 2)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(* -3 z) |
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
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(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 (/ z y)) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(* 3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(/ 1/3 z) |
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
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(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* -1/3 (/ y z)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(* 1/3 (/ t (* y z))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(* -1/3 (/ y z)) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
| Outputs |
|---|
(* 1/3 y) |
(*.f64 #s(literal 1/3 binary64) y) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(*.f64 #s(literal 1/3 binary64) (-.f64 y (/.f64 t y))) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(*.f64 #s(literal 1/3 binary64) (-.f64 y (/.f64 t y))) |
(+ (* -1/3 (/ t y)) (* 1/3 y)) |
(*.f64 #s(literal 1/3 binary64) (-.f64 y (/.f64 t y))) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) t) y) |
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 y (/.f64 t y))) |
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 y (/.f64 t y))) |
(* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y)))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 y (/.f64 t y))) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) t) y) |
(* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 y (/.f64 t y))) |
(* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 y (/.f64 t y))) |
(* -1 (* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y))))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 y (/.f64 t y))) |
(* -1/3 (/ t y)) |
(/.f64 (*.f64 #s(literal -1/3 binary64) t) y) |
(/ (+ (* -1/3 t) (* 1/3 (pow y 2))) y) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) (*.f64 #s(literal -1/3 binary64) t)) y) |
(/ (+ (* -1/3 t) (* 1/3 (pow y 2))) y) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) (*.f64 #s(literal -1/3 binary64) t)) y) |
(/ (+ (* -1/3 t) (* 1/3 (pow y 2))) y) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 y y) (*.f64 #s(literal -1/3 binary64) t)) y) |
(* 1/3 y) |
(*.f64 #s(literal 1/3 binary64) y) |
(* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 y (/.f64 t y))) |
(* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 y (/.f64 t y))) |
(* y (+ 1/3 (* -1/3 (/ t (pow y 2))))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 y (/.f64 t y))) |
(* 1/3 y) |
(*.f64 #s(literal 1/3 binary64) y) |
(* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 y (/.f64 t y))) |
(* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 y (/.f64 t y))) |
(* -1 (* y (- (* 1/3 (/ t (pow y 2))) 1/3))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 y (/.f64 t y))) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(- x (* -1/3 (/ (- (/ t y) y) z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- x (* -1/3 (/ (- (/ t y) y) z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- x (* -1/3 (/ (- (/ t y) y) z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
x |
(* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
x |
(* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- x (* 1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* 1/3 (/ t (* y z))) |
(*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (*.f64 (/.f64 x t) t)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (*.f64 (/.f64 x t) t)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (*.f64 (/.f64 x t) t)) |
(* 1/3 (/ t (* y z))) |
(*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (*.f64 (/.f64 x t) t)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (*.f64 (/.f64 x t) t)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (*.f64 (/.f64 x t) t)) |
(* 1/3 (/ t (* y z))) |
(*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
(/ (- (* x y) (* -1/3 (/ t z))) y) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
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(*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (*.f64 (/.f64 x t) t)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (*.f64 (/.f64 x t) t)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (*.f64 (/.f64 x t) t)) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 (/ z y)) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(* 3 z) |
(*.f64 z #s(literal 3 binary64)) |
(/ 1/3 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 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 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 z))) (* 1/3 (/ y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* 1/3 (/ t (* y z))) |
(*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
x |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- x (* 1/3 (/ y z))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) x) |
(* 1/3 (/ t (* y z))) |
(*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (*.f64 (/.f64 x t) t)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (*.f64 (/.f64 x t) t)) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (*.f64 (/.f64 x t) t)) |
(* 1/3 (/ t (* y z))) |
(*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (*.f64 (/.f64 x t) t)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (*.f64 (/.f64 x t) t)) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z) (*.f64 (/.f64 x t) t)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ t (* y z))) |
(*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ t (* y z))) |
(*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* 1/3 (/ t (* y z))) |
(*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 y (/.f64 y z) (/.f64 t (neg.f64 z)))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 y (/.f64 y z) (/.f64 t (neg.f64 z)))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/.f64 (*.f64 #s(literal -1/3 binary64) (fma.f64 y (/.f64 y z) (/.f64 t (neg.f64 z)))) y) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1/3 (/ y z)) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) z) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
| 1× | batch-egg-rewrite |
| 6 594× | lower-fma.f64 |
| 6 594× | lower-fma.f32 |
| 5 754× | lower-/.f32 |
| 5 738× | lower-/.f64 |
| 3 774× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 181 |
| 0 | 51 | 171 |
| 1 | 200 | 171 |
| 2 | 1795 | 155 |
| 0 | 8233 | 154 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) |
(-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) |
(/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z) |
(-.f64 (/.f64 t y) y) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
(/.f64 y (*.f64 z #s(literal -3 binary64))) |
(*.f64 z #s(literal -3 binary64)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z)) |
(*.f64 #s(literal 1/3 binary64) t) |
(*.f64 y z) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) y)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(/.f64 (*.f64 z #s(literal 3 binary64)) y) |
(*.f64 z #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y)) |
(/.f64 #s(literal 1 binary64) z) |
| Outputs |
|---|
(+.f64 (/.f64 t (*.f64 #s(literal -3 binary64) y)) (neg.f64 (*.f64 y #s(literal -1/3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -3 binary64) (-.f64 (/.f64 t y) y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) |
(-.f64 (/.f64 t (*.f64 #s(literal -3 binary64) y)) (*.f64 y #s(literal -1/3 binary64))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y)))) #s(literal -3 binary64)) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y)))) #s(literal -3 binary64))) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) z) (-.f64 (/.f64 t y) y))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) z) (-.f64 (/.f64 t y) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) (-.f64 (/.f64 t y) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 (-.f64 (/.f64 t y) y) #s(literal -1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal -3 binary64) z) (-.f64 (/.f64 t y) y)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) z) (-.f64 (/.f64 t y) y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 z)) (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) z) (neg.f64 (-.f64 (/.f64 t y) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y))) z) (*.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y (/.f64 t y)) z) (*.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y)))) (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 y (/.f64 t y))) (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 t y)) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y))) (*.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/3 binary64) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 t y)) (*.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) (/.f64 #s(literal 1/3 binary64) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))))) |
(/.f64 (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) z) |
(/.f64 (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (-.f64 (/.f64 t y) y)) (*.f64 #s(literal -3 binary64) z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) z) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal 1/3 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y))) z)) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) #s(literal 1/3 binary64)) (*.f64 (+.f64 y (/.f64 t y)) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)))) (*.f64 z (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y))) (*.f64 z (+.f64 y (/.f64 t y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 t y) y))) (*.f64 z #s(literal 3 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y))) (+.f64 y (/.f64 t y))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/3 binary64) z)) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) (/.f64 #s(literal 1/3 binary64) z)) (+.f64 y (/.f64 t y))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 z (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)))) (neg.f64 (*.f64 z (+.f64 y (/.f64 t y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal 1/3 binary64))) (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y))) z))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) #s(literal 1/3 binary64))) (neg.f64 (*.f64 (+.f64 y (/.f64 t y)) z))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)))) (neg.f64 (+.f64 y (/.f64 t y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/3 binary64) z))) (neg.f64 (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) (/.f64 #s(literal 1/3 binary64) z))) (neg.f64 (+.f64 y (/.f64 t y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 z))) |
(/.f64 (+.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 27 binary64) (*.f64 z (*.f64 z z))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/27 binary64)) (*.f64 z (*.f64 z z)))) (+.f64 (/.f64 (*.f64 t t) (*.f64 (*.f64 y (*.f64 z #s(literal 3 binary64))) (*.f64 y (*.f64 z #s(literal 3 binary64))))) (-.f64 (/.f64 (*.f64 y y) (*.f64 (*.f64 z #s(literal 3 binary64)) (*.f64 z #s(literal 3 binary64)))) (*.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal -3 binary64) z)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 (-.f64 (/.f64 t y) y) (*.f64 (-.f64 (/.f64 t y) y) (-.f64 (/.f64 t y) y))) #s(literal -1/27 binary64)) (*.f64 z (*.f64 z z)))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 t y) y) (*.f64 (-.f64 (/.f64 t y) y) #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(literal -3 binary64) z) z)) (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 #s(literal -3 binary64) z)))))) |
(pow.f64 (neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) z) (-.f64 (/.f64 t y) y))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z)) |
(*.f64 (*.f64 (-.f64 (/.f64 t y) y) #s(literal -1/3 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 t y) y))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 #s(literal -3 binary64) z))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (/.f64 t y) y) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) z) (/.f64 (-.f64 (/.f64 t y) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 (/.f64 t y) y) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (-.f64 (/.f64 t y) y) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1 binary64) z)) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y)))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 z))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y)))) z)) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y)))) (*.f64 #s(literal -3 binary64) z))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) (neg.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y)))) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) (neg.f64 z))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) z)) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) (*.f64 #s(literal -3 binary64) z))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) (neg.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) #s(literal -3 binary64))) |
(*.f64 (/.f64 (neg.f64 (-.f64 (/.f64 t y) y)) z) #s(literal -1/3 binary64)) |
(*.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) z)) |
(*.f64 (/.f64 (neg.f64 (-.f64 (/.f64 t y) y)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) z)) |
(exp.f64 (*.f64 (log.f64 z) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) z) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z))) |
(pow.f64 z #s(literal -1 binary64)) |
(pow.f64 (*.f64 z z) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 z)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 z)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64))) |
Compiled 19 901 to 1 764 computations (91.1% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 307 | 11 | 1 318 |
| Fresh | 11 | 1 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 320 | 16 | 1 336 |
| Status | Accuracy | Program |
|---|---|---|
| 65.7% | (-.f64 x (/.f64 #s(approx (/ (- (/ t y) y) -3) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) | |
| ▶ | 62.2% | #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
| 65.0% | #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) | |
| 33.6% | #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) | |
| ▶ | 68.4% | #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
| ▶ | 37.1% | #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
| ▶ | 33.6% | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
| 39.4% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)) | |
| 39.4% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64)))) | |
| ✓ | 33.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
| 37.4% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) | |
| ✓ | 33.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 37.1% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) t)) | |
| ▶ | 37.0% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) |
| ✓ | 68.3% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y))) |
| ✓ | 33.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
Compiled 344 to 232 computations (32.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 y z) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 y z)) |
| ✓ | cost-diff | 0 | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #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 | (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
| ✓ | cost-diff | 0 | #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/3 binary64) z) |
| ✓ | cost-diff | 0 | (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
| ✓ | cost-diff | 0 | #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
| ✓ | cost-diff | 0 | (/.f64 y z) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
| ✓ | cost-diff | 0 | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 t y) y) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
| ✓ | cost-diff | 0 | #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
| 2 112× | lower-fma.f32 |
| 2 110× | lower-fma.f64 |
| 1 152× | lower-*.f32 |
| 1 140× | lower-*.f64 |
| 606× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 196 |
| 0 | 58 | 188 |
| 1 | 112 | 188 |
| 2 | 246 | 188 |
| 3 | 531 | 188 |
| 4 | 1309 | 188 |
| 5 | 3302 | 188 |
| 6 | 3891 | 188 |
| 7 | 4178 | 188 |
| 8 | 4296 | 188 |
| 9 | 4303 | 188 |
| 10 | 4303 | 188 |
| 11 | 4317 | 188 |
| 12 | 4317 | 188 |
| 13 | 4317 | 188 |
| 14 | 4353 | 188 |
| 15 | 4481 | 188 |
| 16 | 4481 | 188 |
| 17 | 4481 | 188 |
| 0 | 4481 | 183 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) |
#s(literal 1/3 binary64) |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
z |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
#s(literal -1/3 binary64) |
(/.f64 y z) |
y |
z |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
y |
(/.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
z |
x |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
(*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
t |
(/.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 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
#s(literal 1 binary64) |
(*.f64 y z) |
y |
z |
(*.f64 t #s(literal 1/3 binary64)) |
t |
#s(literal 1/3 binary64) |
| Outputs |
|---|
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) |
#s(literal 1/3 binary64) |
(-.f64 (/.f64 t y) y) |
(/.f64 t y) |
t |
y |
z |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 y (*.f64 #s(literal -3 binary64) z))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
(/.f64 y (*.f64 #s(literal -3 binary64) z)) |
#s(literal -1/3 binary64) |
(/.f64 y z) |
y |
z |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
y |
(/.f64 #s(literal -1/3 binary64) z) |
#s(literal -1/3 binary64) |
z |
x |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
(/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) |
t |
(/.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 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64))) |
(/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
#s(literal 1 binary64) |
(*.f64 y z) |
y |
z |
(*.f64 t #s(literal 1/3 binary64)) |
t |
#s(literal 1/3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.5% | (*.f64 t #s(literal 1/3 binary64)) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 1 binary64) (*.f64 y z)) |
| ✓ | accuracy | 93.2% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64))) |
| ✓ | accuracy | 40.5% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 y z) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) |
| ✓ | accuracy | 93.3% | (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
| ✓ | accuracy | 40.5% | #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
| ✓ | accuracy | 99.9% | (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
| ✓ | accuracy | 99.4% | (/.f64 #s(literal -1/3 binary64) z) |
| ✓ | accuracy | 62.3% | #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
| ✓ | accuracy | 100.0% | (/.f64 y z) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
| ✓ | accuracy | 33.7% | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 t y) y) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) |
| ✓ | accuracy | 96.8% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
| ✓ | accuracy | 71.5% | #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
| 75.0ms | 256× | 0 | valid |
Compiled 158 to 38 computations (75.9% saved)
ival-div: 19.0ms (39.4% of total)ival-mult: 13.0ms (26.9% of total)ival-sub: 7.0ms (14.5% of total)const: 7.0ms (14.5% of total)ival-add: 2.0ms (4.1% 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 #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) (patch (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) (patch (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 t y) y) (patch (-.f64 (/.f64 t y) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) (patch #s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/3 binary64) (/.f64 y z)) (patch (*.f64 #s(literal -1/3 binary64) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) (patch (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) #<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 (/ (/ (- (/ t y) y) -3) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) #<representation binary64>) () ()) |
#s(alt (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) (patch (*.f64 t (/.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 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #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) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ()) |
#s(alt (*.f64 t #s(literal 1/3 binary64)) (patch (*.f64 t #s(literal 1/3 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/3 (/ (- (/ t y) y) z)) (taylor 0 x) (#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- x (* -1/3 (/ (- (/ t y) y) z))) (taylor 0 x) (#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- x (* -1/3 (/ (- (/ t y) y) z))) (taylor 0 x) (#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- x (* -1/3 (/ (- (/ t y) y) z))) (taylor 0 x) (#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) (taylor inf x) (#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) (taylor inf x) (#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) (taylor inf x) (#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- x (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor inf t) (#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 (/ t (* y z))) (taylor -inf t) (#s(alt #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) (patch #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) #<representation binary64>) () ())) ()) |
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#s(alt (- x (* 1/3 (/ y z))) (taylor 0 t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #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 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (/ t (* y z))) (taylor inf t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) (taylor inf t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/3 (/ t (* y z))) (taylor -inf t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) (taylor -inf t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) (taylor -inf t) (#s(alt #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) (patch #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y z)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y z)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ 1 (* y z)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y z)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y z)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y z)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y z)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ 1 (* y z)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y z)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y z)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y z)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y z)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y z)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y z)) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y z)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y z)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y z)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (* y z)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 y z)) (patch (/.f64 #s(literal 1 binary64) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal 1/3 binary64)) (patch (*.f64 t #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal 1/3 binary64)) (patch (*.f64 t #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal 1/3 binary64)) (patch (*.f64 t #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal 1/3 binary64)) (patch (*.f64 t #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 t) (taylor inf t) (#s(alt (*.f64 t #s(literal 1/3 binary64)) (patch (*.f64 t #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 t) (taylor inf t) (#s(alt (*.f64 t #s(literal 1/3 binary64)) (patch (*.f64 t #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 t) (taylor inf t) (#s(alt (*.f64 t #s(literal 1/3 binary64)) (patch (*.f64 t #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 t) (taylor inf t) (#s(alt (*.f64 t #s(literal 1/3 binary64)) (patch (*.f64 t #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 t) (taylor -inf t) (#s(alt (*.f64 t #s(literal 1/3 binary64)) (patch (*.f64 t #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 t) (taylor -inf t) (#s(alt (*.f64 t #s(literal 1/3 binary64)) (patch (*.f64 t #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 t) (taylor -inf t) (#s(alt (*.f64 t #s(literal 1/3 binary64)) (patch (*.f64 t #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/3 t) (taylor -inf t) (#s(alt (*.f64 t #s(literal 1/3 binary64)) (patch (*.f64 t #s(literal 1/3 binary64)) #<representation binary64>) () ())) ()) |
144 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | -inf | (/ 1/3 (* y z)) |
| 3.0ms | z | @ | -inf | (/ 1 (* y z)) |
| 0.0ms | z | @ | 0 | (/ 1/3 (* y z)) |
| 0.0ms | y | @ | -inf | (/ 1 (* y z)) |
| 0.0ms | z | @ | inf | (/ 1/3 (* y z)) |
| 1× | egg-herbie |
| 9 628× | lower-fma.f64 |
| 9 628× | lower-fma.f32 |
| 4 068× | lower-*.f64 |
| 4 068× | lower-*.f32 |
| 1 878× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 196 | 4374 |
| 1 | 587 | 4311 |
| 2 | 1696 | 4295 |
| 3 | 5729 | 4235 |
| 0 | 8201 | 4020 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/3 (/ (- (/ t y) y) z)) |
(- x (* -1/3 (/ (- (/ t y) y) z))) |
(- x (* -1/3 (/ (- (/ t y) y) z))) |
(- x (* -1/3 (/ (- (/ t y) y) z))) |
x |
(* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) |
(* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) |
(* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) |
x |
(* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1))) |
(* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1))) |
(* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ t (* y z))) |
(/ (- (* x y) (* -1/3 (/ t z))) y) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/ (- (* x z) (* -1/3 (- (/ t y) y))) z) |
(/ (- (* x z) (* -1/3 (- (/ t y) y))) z) |
(/ (- (* x z) (* -1/3 (- (/ t y) y))) z) |
x |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
x |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
(* -1/3 (/ y z)) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(+ (* -1/3 (/ y z)) (* 1/3 (/ t (* y z)))) |
(* 1/3 (/ t (* y z))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* t (+ (* -1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* 1/3 (/ y (* t z))) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(/ (+ (* -1/3 (/ (pow y 2) z)) (* 1/3 (/ t z))) y) |
(* -1/3 (/ y z)) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* y (- (* 1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1/3 (/ t (* (pow y 2) z))) (* 1/3 (/ 1 z))))) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* 1/3 (/ (- (/ t y) y) z)) |
(* -1/3 y) |
(+ (* -1/3 y) (* 1/3 (/ t y))) |
(+ (* -1/3 y) (* 1/3 (/ t y))) |
(+ (* -1/3 y) (* 1/3 (/ t y))) |
(* 1/3 (/ t y)) |
(* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y)))) |
(* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y)))) |
(* t (+ (* -1/3 (/ y t)) (* 1/3 (/ 1 y)))) |
(* 1/3 (/ t y)) |
(* -1 (* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y))))) |
(* -1 (* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y))))) |
(* -1 (* t (- (* 1/3 (/ y t)) (* 1/3 (/ 1 y))))) |
(* 1/3 (/ t y)) |
(/ (+ (* -1/3 (pow y 2)) (* 1/3 t)) y) |
(/ (+ (* -1/3 (pow y 2)) (* 1/3 t)) y) |
(/ (+ (* -1/3 (pow y 2)) (* 1/3 t)) y) |
(* -1/3 y) |
(* y (- (* 1/3 (/ t (pow y 2))) 1/3)) |
(* y (- (* 1/3 (/ t (pow y 2))) 1/3)) |
(* y (- (* 1/3 (/ t (pow y 2))) 1/3)) |
(* -1/3 y) |
(* -1 (* y (+ 1/3 (* -1/3 (/ t (pow y 2)))))) |
(* -1 (* y (+ 1/3 (* -1/3 (/ t (pow y 2)))))) |
(* -1 (* y (+ 1/3 (* -1/3 (/ t (pow y 2)))))) |
(* -1 y) |
(- (/ t y) y) |
(- (/ t y) y) |
(- (/ t y) y) |
(/ t y) |
(* t (+ (* -1 (/ y t)) (/ 1 y))) |
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(/ t y) |
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(* -1 (* t (- (/ y t) (/ 1 y)))) |
(/ t y) |
(/ (+ t (* -1 (pow y 2))) y) |
(/ (+ t (* -1 (pow y 2))) y) |
(/ (+ t (* -1 (pow y 2))) y) |
(* -1 y) |
(* y (- (/ t (pow y 2)) 1)) |
(* y (- (/ t (pow y 2)) 1)) |
(* y (- (/ t (pow y 2)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
(* -1 (* y (+ 1 (* -1 (/ t (pow y 2)))))) |
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(- x (* 1/3 (/ (- y (/ t y)) z))) |
(- x (* 1/3 (/ (- y (/ t y)) z))) |
x |
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(* x (+ 1 (* -1/3 (/ (- y (/ t y)) (* x z))))) |
x |
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(/ (- (* x y) (* -1/3 (/ t z))) y) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1/3 (/ (- y (/ t y)) z)) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
(/ (- (* x z) (* 1/3 (- y (/ t y)))) z) |
x |
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(+ x (* -1/3 (/ (- y (/ t y)) z))) |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
x |
(+ x (* -1/3 (/ (- y (/ t y)) z))) |
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(+ x (* -1/3 (/ (- y (/ t y)) z))) |
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(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(* -1/3 (/ y z)) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(- x (* -1/3 (/ (- (/ t y) y) z))) |
(- x (* -1/3 (/ (- (/ t y) y) z))) |
(- x (* -1/3 (/ (- (/ t y) y) z))) |
x |
(* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) |
(* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) |
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x |
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(* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1))) |
(* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
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(/ (- (* 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) |
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(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
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(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/ (- (* x z) (* -1/3 (- (/ t y) y))) z) |
(/ (- (* x z) (* -1/3 (- (/ t y) y))) z) |
(/ (- (* x z) (* -1/3 (- (/ t y) y))) z) |
x |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
x |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1/3 (/ y z)) |
(/ (+ (* -1/3 y) (* x z)) z) |
(/ (+ (* -1/3 y) (* x z)) z) |
(/ (+ (* -1/3 y) (* x z)) z) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
x |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(* -1/3 (/ y z)) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
(+ x (* -1/3 (/ y z))) |
x |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
(* x (+ 1 (* -1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(* -1 (* x (- (* 1/3 (/ y (* x z))) 1))) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(/ -1/3 z) |
(* 1/3 (/ (- (/ t y) y) z)) |
(- x (* -1/3 (/ (- (/ t y) y) z))) |
(- x (* -1/3 (/ (- (/ t y) y) z))) |
(- x (* -1/3 (/ (- (/ t y) y) z))) |
x |
(* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) |
(* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) |
(* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) |
x |
(* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1))) |
(* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1))) |
(* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* 1/3 (/ t (* y z))) |
(/ (- (* x y) (* -1/3 (/ t z))) y) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(/ (- (* y (+ x (* -1/3 (/ y z)))) (* -1/3 (/ t z))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* 1/3 (/ (- (/ t y) y) z)) |
(/ (- (* x z) (* -1/3 (- (/ t y) y))) z) |
(/ (- (* x z) (* -1/3 (- (/ t y) y))) z) |
(/ (- (* x z) (* -1/3 (- (/ t y) y))) z) |
x |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
x |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
(+ x (* 1/3 (/ (- (/ t y) y) z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 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 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(/ 1/3 (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(* 1/3 (/ t (* y z))) |
(- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
(* x (- (+ 1 (* 1/3 (/ t (* x (* y z))))) (* 1/3 (/ y (* x z))))) |
x |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (- (* 1/3 (/ t (* y z))) (* 1/3 (/ y z))) x)) 1))) |
(* 1/3 (/ t (* y z))) |
(/ (+ (* 1/3 (/ t z)) (* x y)) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(/ (+ (* 1/3 (/ t z)) (* y (+ x (* -1/3 (/ y z))))) y) |
(* -1/3 (/ y z)) |
(* y (- (/ x y) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* y (- (+ (* 1/3 (/ t (* (pow y 2) z))) (/ x y)) (* 1/3 (/ 1 z)))) |
(* -1/3 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(* -1 (* y (+ (* -1 (/ (+ x (* 1/3 (/ t (* y z)))) y)) (* 1/3 (/ 1 z))))) |
(/ (- (* 1/3 (/ t y)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
(/ (- (+ (* 1/3 (/ t y)) (* x z)) (* 1/3 y)) z) |
x |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
x |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(+ x (* -1 (/ (- (* -1/3 (/ t y)) (* -1/3 y)) z))) |
(- x (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(- (+ x (* 1/3 (/ t (* y z)))) (* 1/3 (/ y z))) |
(* 1/3 (/ t (* y z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(* 1/3 (/ t (* y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(/ 1 (* y z)) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
(* 1/3 t) |
| Outputs |
|---|
(* 1/3 (/ (- (/ t y) y) z)) |
(*.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z)) |
(- x (* -1/3 (/ (- (/ t y) y) z))) |
(fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x) |
(- x (* -1/3 (/ (- (/ t y) y) z))) |
(fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x) |
(- x (* -1/3 (/ (- (/ t y) y) z))) |
(fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x) |
x |
(* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) |
(fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x) |
(* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) |
(fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x) |
(* x (+ 1 (* 1/3 (/ (- (/ t y) y) (* x z))))) |
(fma.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z) x) |
x |
(* -1 (* x (- (* -1/3 (/ (- (/ t y) y) (* x z))) 1))) |
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(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 t (/.f64 x t) (*.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z))) |
(* t (- (+ (* 1/3 (/ 1 (* y z))) (/ x t)) (* 1/3 (/ y (* t z))))) |
(fma.f64 t (/.f64 x t) (*.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z))) |
(* 1/3 (/ t (* y z))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 t (*.f64 y z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 t (/.f64 x t) (*.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 t (/.f64 x t) (*.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z))) |
(* -1 (* t (- (* -1 (/ (- x (* 1/3 (/ y z))) t)) (* 1/3 (/ 1 (* y z)))))) |
(fma.f64 t (/.f64 x t) (*.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z))) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/ 1 (* y z)) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(* 1/3 t) |
(*.f64 #s(literal 1/3 binary64) t) |
(* 1/3 t) |
(*.f64 #s(literal 1/3 binary64) t) |
(* 1/3 t) |
(*.f64 #s(literal 1/3 binary64) t) |
(* 1/3 t) |
(*.f64 #s(literal 1/3 binary64) t) |
(* 1/3 t) |
(*.f64 #s(literal 1/3 binary64) t) |
(* 1/3 t) |
(*.f64 #s(literal 1/3 binary64) t) |
(* 1/3 t) |
(*.f64 #s(literal 1/3 binary64) t) |
(* 1/3 t) |
(*.f64 #s(literal 1/3 binary64) t) |
(* 1/3 t) |
(*.f64 #s(literal 1/3 binary64) t) |
(* 1/3 t) |
(*.f64 #s(literal 1/3 binary64) t) |
(* 1/3 t) |
(*.f64 #s(literal 1/3 binary64) t) |
(* 1/3 t) |
(*.f64 #s(literal 1/3 binary64) t) |
| 1× | batch-egg-rewrite |
| 5 898× | lower-fma.f32 |
| 5 896× | lower-fma.f64 |
| 5 374× | lower-/.f32 |
| 5 362× | lower-/.f64 |
| 4 050× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 170 |
| 0 | 58 | 162 |
| 1 | 249 | 162 |
| 2 | 2415 | 162 |
| 0 | 8917 | 157 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) |
(-.f64 (/.f64 t y) y) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y z)) |
(/.f64 y z) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x) |
(/.f64 #s(literal -1/3 binary64) z) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
(*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 y z)) |
(*.f64 y z) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(*.f64 t #s(literal 1/3 binary64)) |
| Outputs |
|---|
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (/.f64 y z))) |
(-.f64 (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 y (neg.f64 (*.f64 #s(literal -3 binary64) z)))) |
(-.f64 (/.f64 y (*.f64 #s(literal -3 binary64) z)) (*.f64 #s(literal -1/3 binary64) (/.f64 t (*.f64 y z)))) |
(-.f64 (/.f64 y (*.f64 #s(literal -3 binary64) z)) (/.f64 (/.f64 t (*.f64 y z)) #s(literal -3 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 #s(literal -3 binary64) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 #s(literal -3 binary64) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 z))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 #s(literal -3 binary64) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) z)) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 #s(literal -3 binary64) z))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 y (/.f64 t y))) (*.f64 #s(literal -3 binary64) z)) (/.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (+.f64 y (/.f64 t y))) (*.f64 #s(literal -3 binary64) z))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (+.f64 y (/.f64 t y))) (*.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 y y) (+.f64 y (/.f64 t y))) (*.f64 z #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 #s(literal -3 binary64) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal -3 binary64) z))) (/.f64 (-.f64 y (/.f64 t y)) (neg.f64 (*.f64 #s(literal -3 binary64) z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 #s(literal -3 binary64) z))) |
(-.f64 (/.f64 (*.f64 (/.f64 t y) #s(literal -1/3 binary64)) (neg.f64 z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (neg.f64 z))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y)))) (*.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y)))) (*.f64 z #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (*.f64 #s(literal -3 binary64) z))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (*.f64 #s(literal -3 binary64) z)))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (+.f64 y (/.f64 t y))) (neg.f64 (*.f64 #s(literal -3 binary64) z))) (/.f64 (/.f64 (*.f64 y y) (+.f64 y (/.f64 t y))) (neg.f64 (*.f64 #s(literal -3 binary64) z)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (fma.f64 t #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 y y))))) (*.f64 #s(literal -3 binary64) z)) (/.f64 (/.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (fma.f64 y y (fma.f64 t #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 y y))))) (*.f64 #s(literal -3 binary64) z))) |
(neg.f64 (/.f64 (-.f64 (/.f64 t y) y) (*.f64 #s(literal -3 binary64) z))) |
(/.f64 (*.f64 (-.f64 (/.f64 t y) y) #s(literal -1/3 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 (-.f64 (/.f64 t y) y) #s(literal -1/3 binary64)) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64))) |
(/.f64 (-.f64 (/.f64 t y) y) (neg.f64 (*.f64 #s(literal -3 binary64) z))) |
(/.f64 (-.f64 y (/.f64 t y)) (*.f64 #s(literal -3 binary64) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 z #s(literal 3 binary64)) (-.f64 y (/.f64 t y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) (-.f64 y (/.f64 t y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 z #s(literal 3 binary64)) (-.f64 y (/.f64 t y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 t y) y)) (*.f64 #s(literal -3 binary64) z)) |
(/.f64 (neg.f64 (-.f64 (/.f64 t y) y)) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) z)))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) (neg.f64 (neg.f64 z))) |
(/.f64 (/.f64 (-.f64 y (/.f64 t y)) z) #s(literal -3 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (/.f64 (-.f64 y (/.f64 t y)) z)) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 t y) y))) (neg.f64 (*.f64 #s(literal -3 binary64) z))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 y (/.f64 t y)) z))) #s(literal -3 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) #s(literal 1 binary64))) (neg.f64 z)) |
(pow.f64 (/.f64 z (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (/.f64 (*.f64 z #s(literal 3 binary64)) (-.f64 y (/.f64 t y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 z (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (-.f64 (/.f64 t y) y) #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (*.f64 (-.f64 (/.f64 t y) y) #s(literal -1/3 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) z))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 t y) y) z)) |
(*.f64 (-.f64 (/.f64 t y) y) (/.f64 #s(literal 1/3 binary64) z)) |
(*.f64 (-.f64 y (/.f64 t y)) (/.f64 #s(literal -1/3 binary64) z)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 y (/.f64 t y)) z)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 (-.f64 (/.f64 t y) y)) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 #s(literal -3 binary64) z))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 t y) y) z) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 (/.f64 t y) y) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y)))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y)))) z)) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (*.f64 y y)) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) z)) |
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))) z) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (fma.f64 t #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 y y))))) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (fma.f64 t #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 y y))))) (neg.f64 z))) |
(*.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 t t) (*.f64 y y))) z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 t t) (*.f64 y y))) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) (neg.f64 z))) |
(*.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) z)) |
(*.f64 (/.f64 (neg.f64 (-.f64 (/.f64 t y) y)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) z)) |
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))) #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (fma.f64 t #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 y y))))) z)) |
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (fma.f64 t #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 y y))))) (*.f64 z #s(literal 3 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y)))) (neg.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (fma.f64 t #s(literal 1 binary64) (/.f64 (*.f64 t t) (*.f64 y y))))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 t t) (*.f64 y y))) #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) z)) |
(*.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 t t) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) (*.f64 z #s(literal 3 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 y y) (/.f64 (*.f64 t t) (*.f64 y y))) (neg.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (/.f64 t y))) #s(literal 3 binary64))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 t y)) (*.f64 #s(literal 1/3 binary64) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 t y) #s(literal 1/3 binary64)) (*.f64 (neg.f64 y) #s(literal 1/3 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 (/.f64 t y) y) #s(literal -1/3 binary64))) |
(-.f64 (/.f64 (/.f64 t y) #s(literal 3 binary64)) (/.f64 y #s(literal 3 binary64))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (+.f64 y (/.f64 t y))) #s(literal 3 binary64)) (/.f64 (/.f64 (*.f64 y y) (+.f64 y (/.f64 t y))) #s(literal 3 binary64))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y)))) #s(literal 3 binary64)) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (/.f64 (*.f64 t t) (*.f64 y y)) (fma.f64 t #s(literal 1 binary64) (*.f64 y y)))) #s(literal 3 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 t y) (*.f64 #s(literal 1/3 binary64) (neg.f64 y))) |
(fma.f64 (/.f64 t y) #s(literal 1/3 binary64) (*.f64 (neg.f64 y) #s(literal 1/3 binary64))) |
(neg.f64 (*.f64 (-.f64 (/.f64 t y) y) #s(literal -1/3 binary64))) |
(/.f64 (-.f64 (/.f64 t y) y) #s(literal 3 binary64)) |
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(*.f64 (/.f64 t z) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (/.f64 t z)) |
(*.f64 (/.f64 t #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) z) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 t #s(literal -3 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) z)) |
(*.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (*.f64 y z))) |
(*.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 z #s(literal 3 binary64)))) |
(*.f64 (/.f64 t (neg.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))) |
(*.f64 (/.f64 t (neg.f64 z)) (/.f64 #s(literal -1/3 binary64) y)) |
(*.f64 (/.f64 (neg.f64 t) z) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))) |
(*.f64 (/.f64 (neg.f64 t) z) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (neg.f64 t) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 z))) |
(*.f64 (/.f64 (neg.f64 t) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) z)) |
(*.f64 (/.f64 (neg.f64 t) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 y z))) |
(*.f64 (/.f64 t (*.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 t y) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 t (neg.f64 (*.f64 y #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 t (*.f64 #s(literal -3 binary64) z))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 t #s(literal 1/3 binary64)) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z #s(literal 3 binary64))) (/.f64 (neg.f64 t) y)) |
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) t) y) (/.f64 #s(literal 1/3 binary64) z)) |
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) t) y) (/.f64 #s(literal 1/3 binary64) (/.f64 z #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) t) z) (/.f64 #s(literal 1/3 binary64) y)) |
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) t) z) (/.f64 #s(literal 1/3 binary64) (/.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 3 binary64))) (/.f64 t z)) |
(*.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) (neg.f64 z)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) y) (/.f64 t (neg.f64 z))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(/.f64 #s(literal 1 binary64) (*.f64 y z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 y (neg.f64 z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (/.f64 #s(literal 1 binary64) y)))) |
(/.f64 (/.f64 #s(literal 1 binary64) z) y) |
(/.f64 (/.f64 #s(literal 1 binary64) y) z) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 (neg.f64 z))) |
(pow.f64 (*.f64 y z) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (*.f64 y (neg.f64 z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 y z) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 y z) (*.f64 y z)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 y z))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (pow.f64 (*.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y z) #s(literal -1/2 binary64))) |
(*.f64 t #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) t) |
(*.f64 #s(literal 1 binary64) (*.f64 t #s(literal 1/3 binary64))) |
(*.f64 (*.f64 t #s(literal 1/3 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/3 binary64)) |
Compiled 14 884 to 1 233 computations (91.7% saved)
15 alts after pruning (6 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 231 | 4 | 1 235 |
| Fresh | 5 | 2 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 236 | 15 | 1 251 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 62.2% | #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
| 65.0% | #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) | |
| 37.5% | #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) z)) | |
| 39.4% | #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64)))) | |
| 33.6% | #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) | |
| ✓ | 68.4% | #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
| 37.4% | #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) | |
| 37.1% | #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (*.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))))) | |
| ✓ | 37.1% | #s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
| ✓ | 33.6% | #s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
| ✓ | 33.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
| ✓ | 33.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| ✓ | 37.0% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) |
| ✓ | 68.3% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y))) |
| ✓ | 33.6% | #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
Compiled 651 to 223 computations (65.7% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) t)) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (*.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
(-.f64 x (/.f64 #s(approx (/ (- (/ t y) y) -3) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t z) (*.f64 y x)) y)) |
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/3 binary64)) (-.f64 (/.f64 t y) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal 3 binary64))) (-.f64 (/.f64 t y) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 t y) y) #s(literal -3 binary64)) z)) |
(fma.f64 (/.f64 t (*.f64 y z)) #s(literal 1/3 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(+.f64 #s(approx (- x (/ y (* z 3))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 z x)) (-.f64 (/.f64 t y) y)) x)) |
(fma.f64 (/.f64 y z) #s(literal -1/3 binary64) (+.f64 x (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
(+.f64 (-.f64 x (/.f64 (*.f64 y #s(literal 1/3 binary64)) z)) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (-.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) z) (/.f64 (/.f64 t (*.f64 y z)) #s(literal -3 binary64)))) |
(fma.f64 (neg.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) #s(literal -3 binary64))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
(+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64)))) |
(fma.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) y) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
| Outputs |
|---|
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
6 calls:
| 17.0ms | (*.f64 z #s(literal 3 binary64)) |
| 15.0ms | y |
| 15.0ms | t |
| 13.0ms | z |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 1 | x |
| 96.9% | 1 | y |
| 96.9% | 1 | z |
| 96.9% | 1 | t |
| 96.9% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 96.9% | 1 | (*.f64 z #s(literal 3 binary64)) |
Compiled 46 to 33 computations (28.3% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) t)) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (*.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
(-.f64 x (/.f64 #s(approx (/ (- (/ t y) y) -3) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 t z) (*.f64 y x)) y)) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)) |
6 calls:
| 31.0ms | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 16.0ms | t |
| 11.0ms | y |
| 9.0ms | z |
| 9.0ms | (*.f64 z #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 96.8% | 1 | x |
| 96.8% | 1 | y |
| 96.8% | 1 | z |
| 96.8% | 1 | t |
| 96.8% | 1 | (*.f64 z #s(literal 3 binary64)) |
Compiled 46 to 33 computations (28.3% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) t)) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (*.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
(-.f64 x (/.f64 #s(approx (/ (- (/ t y) y) -3) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) |
| Outputs |
|---|
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
(-.f64 x (/.f64 #s(approx (/ (- (/ t y) y) -3) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
6 calls:
| 50.0ms | x |
| 15.0ms | t |
| 10.0ms | y |
| 10.0ms | (*.f64 z #s(literal 3 binary64)) |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 3 | y |
| 86.0% | 3 | z |
| 81.9% | 5 | t |
| 86.0% | 3 | (*.f64 z #s(literal 3 binary64)) |
| 85.7% | 3 | x |
| 85.5% | 5 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
Compiled 46 to 33 computations (28.3% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 t #s(literal 1/3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))) t)) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (*.f64 t (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z #s(literal 3 binary64)))))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) #s(approx (- (/ t y) y) (/.f64 t y)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 3 binary64)) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (/.f64 t (*.f64 z #s(literal 3 binary64))) y)) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (/.f64 t z) (*.f64 y #s(literal 3 binary64)))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (/.f64 (*.f64 t #s(literal 1/3 binary64)) y) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (/.f64 t y) y)) z)) |
| Outputs |
|---|
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
1 calls:
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 3 | y |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) t) (*.f64 y z))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (*.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
| Outputs |
|---|
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
6 calls:
| 6.0ms | x |
| 5.0ms | t |
| 5.0ms | z |
| 5.0ms | (*.f64 z #s(literal 3 binary64)) |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.8% | 3 | t |
| 68.3% | 3 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 67.1% | 3 | x |
| 66.9% | 3 | z |
| 66.9% | 3 | (*.f64 z #s(literal 3 binary64)) |
| 78.6% | 3 | y |
Compiled 46 to 33 computations (28.3% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
| Outputs |
|---|
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
6 calls:
| 8.0ms | t |
| 6.0ms | z |
| 3.0ms | x |
| 3.0ms | (*.f64 z #s(literal 3 binary64)) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.2% | 1 | z |
| 62.2% | 1 | (*.f64 z #s(literal 3 binary64)) |
| 62.2% | 1 | x |
| 62.2% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 62.2% | 1 | t |
| 62.2% | 1 | y |
Compiled 46 to 33 computations (28.3% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
6 calls:
| 3.0ms | z |
| 3.0ms | (*.f64 z #s(literal 3 binary64)) |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.2% | 1 | y |
| 62.2% | 1 | z |
| 62.2% | 1 | (*.f64 z #s(literal 3 binary64)) |
| 62.2% | 1 | x |
| 62.2% | 1 | t |
| 62.2% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
Compiled 46 to 33 computations (28.3% saved)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (*.f64 #s(literal -1/3 binary64) (/.f64 y z))) |
#s(approx (- x (/ (/ (- (/ t y) y) -3) z)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) z)) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
6 calls:
| 25.0ms | z |
| 2.0ms | (*.f64 z #s(literal 3 binary64)) |
| 2.0ms | y |
| 2.0ms | t |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.6% | 1 | y |
| 33.6% | 1 | z |
| 33.6% | 1 | (*.f64 z #s(literal 3 binary64)) |
| 33.6% | 1 | x |
| 33.6% | 1 | t |
| 33.6% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
Compiled 46 to 33 computations (28.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
| Outputs |
|---|
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
6 calls:
| 1.0ms | (*.f64 z #s(literal 3 binary64)) |
| 1.0ms | y |
| 1.0ms | t |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.6% | 1 | t |
| 33.6% | 1 | x |
| 33.6% | 1 | (+.f64 (-.f64 x (/.f64 y (*.f64 z #s(literal 3 binary64)))) (/.f64 t (*.f64 (*.f64 z #s(literal 3 binary64)) y))) |
| 33.6% | 1 | z |
| 33.6% | 1 | (*.f64 z #s(literal 3 binary64)) |
| 33.6% | 1 | y |
Compiled 46 to 33 computations (28.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 107.0ms | 6.547464668612997e-13 | 5.361629779216137e-10 |
| 32.0ms | -1.273231461359043e+55 | -1.4278871585735393e+50 |
| 130.0ms | 272× | 0 | valid |
Compiled 481 to 324 computations (32.6% saved)
ival-mult: 98.0ms (93.2% of total)ival-div: 4.0ms (3.8% of total)ival-sub: 1.0ms (1% of total)ival-add: 1.0ms (1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.547464668612997e-13 | 5.361629779216137e-10 |
| 8.0ms | -3.44177811461829e+23 | -1.0948048154890688e+23 |
| 5.0ms | 80× | 0 | valid |
Compiled 360 to 239 computations (33.6% saved)
ival-div: 1.0ms (35% of total)ival-mult: 1.0ms (35% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 93.0ms | 7.73593916484965e-71 | 1.8287859906968782e-62 |
| 6.0ms | -1.5741786555212307e-161 | -7.888089440894894e-162 |
| 13.0ms | 208× | 0 | valid |
Compiled 347 to 239 computations (31.1% saved)
ival-div: 3.0ms (39.1% of total)ival-mult: 3.0ms (39.1% of total)ival-sub: 1.0ms (13% of total)ival-add: 1.0ms (13% 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 |
| 260× | unsub-neg_binary64 |
| 242× | distribute-lft-neg-in_binary64 |
| 208× | neg-mul-1_binary64 |
| 120× | neg-sub0_binary64 |
| 116× | cancel-sign-sub_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 323 |
| 1 | 82 | 323 |
| 2 | 107 | 323 |
| 3 | 133 | 323 |
| 4 | 165 | 323 |
| 5 | 205 | 323 |
| 6 | 263 | 323 |
| 7 | 392 | 323 |
| 8 | 625 | 323 |
| 9 | 794 | 323 |
| 10 | 864 | 323 |
| 11 | 914 | 323 |
| 12 | 953 | 323 |
| 13 | 975 | 323 |
| 14 | 991 | 323 |
| 15 | 992 | 323 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)) |
(if (<=.f64 y #s(literal -209999999999999995253329232153652192797441122107392 binary64)) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 3249592603124123/77371252455336267181195264 binary64)) (-.f64 x (/.f64 #s(approx (/ (- (/ t y) y) -3) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
(if (<=.f64 y #s(literal -300000000000000008388608 binary64)) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 3249592603124123/77371252455336267181195264 binary64)) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
(if (<=.f64 y #s(literal -3925628132181115/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264 binary64)) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 3794275180128377/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
| Outputs |
|---|
(-.f64 x (/.f64 (-.f64 y (/.f64 t y)) (*.f64 z #s(literal 3 binary64)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 t y) y) (*.f64 z #s(literal 3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 (/.f64 #s(literal 1/3 binary64) z) (-.f64 (/.f64 t y) y) x)) |
(if (<=.f64 y #s(literal -209999999999999995253329232153652192797441122107392 binary64)) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 3249592603124123/77371252455336267181195264 binary64)) (-.f64 x (/.f64 #s(approx (/ (- (/ t y) y) -3) (/.f64 (*.f64 #s(literal -1/3 binary64) t) y)) z)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
(if (<=.f64 y #s(literal -209999999999999995253329232153652192797441122107392 binary64)) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 3249592603124123/77371252455336267181195264 binary64)) (-.f64 x (/.f64 #s(approx (/ (- (/ t y) y) -3) (/.f64 (*.f64 t #s(literal -1/3 binary64)) y)) z)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
(if (<=.f64 y #s(literal -300000000000000008388608 binary64)) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 3249592603124123/77371252455336267181195264 binary64)) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 t (/.f64 #s(literal 1/3 binary64) (*.f64 y z)) x)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
(if (<=.f64 y #s(literal -3925628132181115/253266331108459042877954581524118722595974501479640924072000569439126758509088631982403994686712878069348015540240526683495797795130113239006767262824338603946605334680267915264 binary64)) #s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) (if (<=.f64 y #s(literal 3794275180128377/1897137590064188545819787018382342682267975428761855001222473056385648716020711424 binary64)) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 t (*.f64 y (*.f64 z #s(literal 3 binary64))))) #s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)))) |
#s(approx (- x (/ (- y (/ t y)) (* z 3))) (fma.f64 #s(literal -1/3 binary64) (/.f64 y z) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) z) x)) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (/.f64 y (*.f64 z #s(literal -3 binary64)))) |
#s(approx (+ (- x (/ y (* z 3))) (/ t (* (* z 3) y))) (*.f64 y (/.f64 #s(literal -1/3 binary64) z))) |
| 11 460× | lower-fma.f64 |
| 11 460× | 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 | 213 | 5028 |
| 1 | 620 | 5028 |
| 2 | 1791 | 4826 |
| 3 | 5985 | 4664 |
| 0 | 8232 | 4413 |
| 0 | 184 | 4376 |
| 1 | 542 | 4205 |
| 2 | 1598 | 4189 |
| 3 | 5322 | 4129 |
| 0 | 8753 | 3938 |
| 0 | 34 | 167 |
| 0 | 56 | 154 |
| 1 | 263 | 154 |
| 2 | 2758 | 154 |
| 0 | 8629 | 148 |
| 0 | 102 | 1412 |
| 1 | 307 | 1322 |
| 2 | 875 | 1322 |
| 3 | 2795 | 1262 |
| 4 | 6348 | 1262 |
| 0 | 8216 | 1196 |
| 0 | 11 | 42 |
| 0 | 17 | 42 |
| 1 | 69 | 42 |
| 2 | 861 | 38 |
| 0 | 9318 | 37 |
| 0 | 35 | 181 |
| 0 | 51 | 171 |
| 1 | 200 | 171 |
| 2 | 1795 | 155 |
| 0 | 8233 | 154 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter 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 |
Compiled 495 to 258 computations (47.9% saved)
Compiled 366 to 138 computations (62.3% saved)
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