
Time bar (total: 8.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 8 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 11 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 488.0ms | 8 256× | 0 | valid |
ival-div: 122.0ms (44.8% of total)ival-add: 88.0ms (32.3% of total)ival-sub: 49.0ms (18% of total)ival-true: 6.0ms (2.2% of total)exact: 5.0ms (1.8% of total)ival-assert: 3.0ms (1.1% of total)| 1× | egg-herbie |
| 702× | times-frac |
| 506× | div-sub |
| 396× | unsub-neg |
| 382× | distribute-rgt-in |
| 368× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 90 |
| 1 | 83 | 82 |
| 2 | 160 | 81 |
| 3 | 361 | 81 |
| 4 | 1104 | 81 |
| 5 | 2058 | 81 |
| 6 | 2769 | 81 |
| 7 | 3345 | 81 |
| 8 | 3484 | 81 |
| 9 | 3542 | 81 |
| 10 | 3578 | 81 |
| 11 | 3606 | 81 |
| 12 | 3606 | 81 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 17 | 9 |
| 2 | 25 | 9 |
| 3 | 34 | 9 |
| 4 | 50 | 9 |
| 5 | 66 | 9 |
| 6 | 87 | 9 |
| 7 | 115 | 9 |
| 8 | 153 | 9 |
| 9 | 212 | 9 |
| 10 | 343 | 9 |
| 11 | 451 | 9 |
| 12 | 632 | 9 |
| 13 | 780 | 9 |
| 14 | 853 | 9 |
| 15 | 894 | 9 |
| 16 | 896 | 9 |
| 17 | 900 | 9 |
| 0 | 900 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 34 | 0 | - | 0 | - | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 y z)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (/.f64 y z) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) | n/o | 34 | 0 |
| ↳ | (/.f64 y z) | overflow | 34 | |
| ↳ | (-.f64 #s(literal 1 binary64) (/.f64 y z)) | overflow | 34 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 34 | 0 |
| - | 0 | 222 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 34 | 0 | 0 |
| - | 0 | 0 | 222 |
| number | freq |
|---|---|
| 0 | 222 |
| 1 | 34 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 87.0ms | 512× | 0 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-add: 41.0ms (78.7% of total)ival-div: 7.0ms (13.4% of total)ival-sub: 3.0ms (5.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.4% | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 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 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 368× | lower-fma.f64 |
| 368× | lower-fma.f32 |
| 240× | lower-*.f64 |
| 240× | lower-*.f32 |
| 192× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 17 | 24 |
| 2 | 25 | 24 |
| 3 | 34 | 24 |
| 4 | 50 | 24 |
| 5 | 66 | 24 |
| 6 | 87 | 24 |
| 7 | 115 | 24 |
| 8 | 153 | 24 |
| 9 | 212 | 24 |
| 10 | 343 | 24 |
| 11 | 451 | 24 |
| 12 | 632 | 24 |
| 13 | 780 | 24 |
| 14 | 853 | 24 |
| 15 | 894 | 24 |
| 16 | 896 | 24 |
| 17 | 900 | 24 |
| 0 | 900 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
#s(literal 1 binary64) |
(/.f64 y z) |
z |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
#s(literal 1 binary64) |
(/.f64 y z) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 y z) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (/.f64 y z)) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 87.4% | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 14.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-div: 3.0ms (45.6% of total)ival-add: 2.0ms (30.4% of total)ival-sub: 1.0ms (15.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<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 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ y (- 1 (/ y z))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 (* -1 (/ x z))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (/ (* y (+ x y)) z))) (taylor inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) (taylor inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) (taylor inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor -inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (/ (* y (+ x y)) z))) (taylor -inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) (taylor -inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) (taylor -inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt 1 (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 (* -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 (* -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 (* -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 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 (* y (- (/ 1 y) (/ 1 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 (* y (- (/ 1 y) (/ 1 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 (* y (- (/ 1 y) (/ 1 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 (- (/ 1 z) (/ 1 y)))) (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 (- (/ 1 z) (/ 1 y)))) (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 (- (/ 1 z) (/ 1 y)))) (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 (/ (- z 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 (/ (- z 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 (/ (- z 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 (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 (* -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 (* -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 (* -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 (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 (* -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 (* -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 (* -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 (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/ (+ x y) (- 1 (/ y z))) |
| 1.0ms | x | @ | 0 | (/ (+ x y) (- 1 (/ y z))) |
| 1.0ms | x | @ | inf | (/ (+ x y) (- 1 (/ y z))) |
| 1.0ms | z | @ | inf | (/ (+ x y) (- 1 (/ y z))) |
| 1.0ms | y | @ | -inf | (+ x y) |
| 1× | egg-herbie |
| 17 244× | lower-fma.f64 |
| 17 244× | lower-fma.f32 |
| 4 624× | lower-*.f64 |
| 4 624× | lower-*.f32 |
| 2 932× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 958 |
| 1 | 589 | 915 |
| 2 | 1842 | 852 |
| 3 | 7158 | 833 |
| 0 | 8263 | 790 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(* -1 (/ y z)) |
(* y (- (/ 1 y) (/ 1 z))) |
(* y (- (/ 1 y) (/ 1 z))) |
(* y (- (/ 1 y) (/ 1 z))) |
(* -1 (/ y z)) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(* -1 (/ y z)) |
(/ (- z y) z) |
(/ (- z y) z) |
(/ (- z y) z) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ 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) |
| Outputs |
|---|
(/ y (- 1 (/ y z))) |
(*.f64 (/.f64 y (-.f64 z y)) z) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (*.f64 (/.f64 y (-.f64 z y)) z)) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (*.f64 (/.f64 y (-.f64 z y)) z)) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (*.f64 (/.f64 y (-.f64 z y)) z)) |
(/ x (- 1 (/ y z))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (/.f64 (*.f64 y x) (fma.f64 (/.f64 y z) (neg.f64 x) x))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (/.f64 (*.f64 y x) (fma.f64 (/.f64 y z) (neg.f64 x) x))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (/.f64 (*.f64 y x) (fma.f64 (/.f64 y z) (neg.f64 x) x))) |
(/ x (- 1 (/ y z))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (/.f64 (*.f64 y x) (fma.f64 (/.f64 y z) (neg.f64 x) x))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (/.f64 (*.f64 y x) (fma.f64 (/.f64 y z) (neg.f64 x) x))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (/.f64 (*.f64 y x) (fma.f64 (/.f64 y z) (neg.f64 x) x))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(fma.f64 y (+.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 1 binary64)) (/.f64 x z)) x) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(fma.f64 y (fma.f64 y (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) z) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x z))) x) |
(* -1 z) |
(neg.f64 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(fma.f64 z (fma.f64 z (/.f64 (-.f64 (neg.f64 x) z) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(-.f64 (neg.f64 z) (/.f64 (fma.f64 z (+.f64 z x) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (fma.f64 z (/.f64 z y) z)) y)) y)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y)) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z (+.f64 x (/.f64 (*.f64 z (+.f64 z x)) y)))) y)) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(-.f64 (neg.f64 z) (/.f64 (fma.f64 z (+.f64 z x) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (fma.f64 z (/.f64 z y) z)) y)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 z (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (fma.f64 z (/.f64 x (*.f64 y y)) (/.f64 z y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 z (fma.f64 z (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y))) (fma.f64 z (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 z (*.f64 y y)))) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 z (fma.f64 z (fma.f64 z (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y (*.f64 y y)))) (fma.f64 z (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 z (*.f64 y (*.f64 y y))))) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(+.f64 y (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) x)) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+.f64 x (+.f64 y (/.f64 (fma.f64 y (+.f64 y x) (/.f64 (*.f64 y (*.f64 (+.f64 y x) (fma.f64 y (/.f64 y z) y))) z)) z))) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+.f64 y (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) x)) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(+.f64 x (+.f64 y (/.f64 (fma.f64 y (+.f64 y x) (/.f64 (*.f64 y (*.f64 (+.f64 y x) (fma.f64 y (/.f64 y z) y))) z)) z))) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 x (/.f64 y x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 x (/.f64 y x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 x (/.f64 y x) x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* -1 (/ y z)) |
(/.f64 y (neg.f64 z)) |
(* y (- (/ 1 y) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* y (- (/ 1 y) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* y (- (/ 1 y) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* -1 (/ y z)) |
(/.f64 y (neg.f64 z)) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* -1 (/ y z)) |
(/.f64 y (neg.f64 z)) |
(/ (- z y) z) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/ (- z y) z) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/ (- z y) z) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
| 1× | batch-egg-rewrite |
| 3 550× | lower-*.f64 |
| 3 550× | lower-*.f32 |
| 3 202× | lower-/.f32 |
| 3 198× | lower-/.f64 |
| 2 858× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 0 | 12 | 20 |
| 1 | 56 | 20 |
| 2 | 432 | 20 |
| 3 | 7705 | 20 |
| 0 | 8025 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+.f64 x y) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 y z) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) x) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) y)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) y) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) x)) |
(+.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(+.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (/.f64 y z))) |
(+.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (/.f64 y z))) |
(+.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (/.f64 y z)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) (*.f64 y (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))))) |
(+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (*.f64 (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))) |
(+.f64 (*.f64 (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))) |
(+.f64 (*.f64 (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (*.f64 (/.f64 y z) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)))) (*.f64 (/.f64 y z) (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 y z) (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (/.f64 (+.f64 x y) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (*.f64 y (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))))) |
(fma.f64 y (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (*.f64 (/.f64 y z) (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 y z) (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) x (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) y (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) x)) |
(fma.f64 (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 y z) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))) |
(fma.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(fma.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (/.f64 y z))) |
(fma.f64 (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (/.f64 y z))) |
(fma.f64 (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (/.f64 y z) (*.f64 (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (+.f64 x y) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (+.f64 (/.f64 y z) #s(literal -1 binary64))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)))) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(/.f64 (-.f64 (neg.f64 y) x) (+.f64 (/.f64 y z) #s(literal -1 binary64))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (neg.f64 x) y) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (+.f64 (neg.f64 x) y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (+.f64 x y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 (neg.f64 x) y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)))))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 y x))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)) (fma.f64 x x (*.f64 y y)))) |
(/.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) |
(/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (neg.f64 (+.f64 (/.f64 y (neg.f64 z)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (+.f64 (/.f64 y (neg.f64 z)) #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (neg.f64 z)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 y (/.f64 (*.f64 y y) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (fma.f64 y (/.f64 (*.f64 y y) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z z) (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 y (/.f64 (*.f64 y y) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (/.f64 (*.f64 y y) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z z) (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) (+.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) (neg.f64 (+.f64 (/.f64 y (neg.f64 z)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 z (*.f64 z z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 z (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 z (*.f64 z z)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z z))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z z))) (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z z))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1 binary64)) (-.f64 (/.f64 y (neg.f64 z)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 z (*.f64 z z)))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 z (*.f64 z z)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z z))) (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z z))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z z))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 y (/.f64 (*.f64 y y) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) (fma.f64 y (/.f64 (*.f64 y y) (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z z) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) #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 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (neg.f64 z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (fma.f64 y (/.f64 (*.f64 y y) (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 y (neg.f64 z))) |
(neg.f64 (/.f64 y (neg.f64 z))) |
(/.f64 y z) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 y))) |
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) z) |
(pow.f64 (/.f64 z y) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 (/.f64 y z) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) y) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 z))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) |
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64))) |
Compiled 10 488 to 997 computations (90.5% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 429 | 8 | 437 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 429 | 9 | 438 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.4% | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| ▶ | 87.3% | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
| ▶ | 87.2% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) |
| 47.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))) | |
| 49.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) | |
| ▶ | 46.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
| 50.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) | |
| ▶ | 50.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
| ▶ | 33.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
Compiled 188 to 112 computations (40.4% 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 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) |
| ✓ | cost-diff | 0 | (-.f64 z y) |
| ✓ | cost-diff | 0 | (/.f64 y (-.f64 z y)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 y (-.f64 z y)) z) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (fma.f64 z (/.f64 x y) z) |
| ✓ | cost-diff | 0 | (neg.f64 (fma.f64 z (/.f64 x y) z)) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
| ✓ | cost-diff | 0 | (neg.f64 z) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y))) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 z y)) |
| 3 088× | lower-fma.f32 |
| 3 086× | lower-fma.f64 |
| 2 648× | lower-/.f32 |
| 2 632× | lower-/.f64 |
| 2 448× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 153 |
| 0 | 43 | 157 |
| 1 | 73 | 157 |
| 2 | 142 | 145 |
| 3 | 274 | 145 |
| 4 | 623 | 145 |
| 5 | 1313 | 145 |
| 6 | 2505 | 145 |
| 7 | 3471 | 145 |
| 8 | 4122 | 145 |
| 9 | 4464 | 145 |
| 10 | 4843 | 145 |
| 11 | 5037 | 145 |
| 12 | 5039 | 145 |
| 13 | 5041 | 145 |
| 14 | 5373 | 145 |
| 15 | 5967 | 145 |
| 16 | 6303 | 145 |
| 17 | 6457 | 145 |
| 18 | 6549 | 145 |
| 19 | 6572 | 145 |
| 20 | 6810 | 145 |
| 21 | 7279 | 145 |
| 22 | 7315 | 145 |
| 23 | 7331 | 145 |
| 24 | 7331 | 145 |
| 0 | 8339 | 145 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
(+.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 z y) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(fma.f64 z (/.f64 x y) z) |
z |
(/.f64 x y) |
x |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
(*.f64 (/.f64 y (-.f64 z y)) z) |
(/.f64 y (-.f64 z y)) |
y |
(-.f64 z y) |
z |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
(+.f64 x y) |
x |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 y z) |
(/.f64 z y) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(fma.f64 z (/.f64 x y) z) |
(fma.f64 x (/.f64 z y) z) |
z |
(/.f64 x y) |
x |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 y z) (-.f64 z y))) |
(*.f64 (/.f64 y (-.f64 z y)) z) |
(/.f64 (*.f64 y z) (-.f64 z y)) |
(/.f64 y (-.f64 z y)) |
y |
(-.f64 z y) |
z |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
(+.f64 x y) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (/.f64 y z)) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) |
| ✓ | accuracy | 87.3% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)) |
| ✓ | accuracy | 100.0% | (-.f64 z y) |
| ✓ | accuracy | 100.0% | (/.f64 y (-.f64 z y)) |
| ✓ | accuracy | 90.2% | (*.f64 (/.f64 y (-.f64 z y)) z) |
| ✓ | accuracy | 47.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 100.0% | (neg.f64 (fma.f64 z (/.f64 x y) z)) |
| ✓ | accuracy | 95.4% | (fma.f64 z (/.f64 x y) z) |
| ✓ | accuracy | 53.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
| ✓ | accuracy | 100.0% | (neg.f64 z) |
| ✓ | accuracy | 33.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y))) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal 1 binary64) (/.f64 z y)) |
| ✓ | accuracy | 87.4% | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
| 59.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 138 to 24 computations (82.6% saved)
ival-div: 18.0ms (59.6% of total)ival-add: 3.0ms (9.9% of total)ival-sub: 3.0ms (9.9% of total)ival-mult: 3.0ms (9.9% of total)ival-neg: 2.0ms (6.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y))) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (fma.f64 z (/.f64 x y) z)) (patch (neg.f64 (fma.f64 z (/.f64 x y) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (/.f64 x y) z) (patch (fma.f64 z (/.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y (-.f64 z y)) z) (patch (*.f64 (/.f64 y (-.f64 z y)) z) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 z y)) (patch (/.f64 y (-.f64 z y)) #<representation binary64>) () ()) |
#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)) #<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 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- 1 (/ y z))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
129 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | (/ x y) |
| 1.0ms | x | @ | -inf | (neg (+ (* z (/ x y)) z)) |
| 1.0ms | x | @ | -inf | (/ (- 1 (/ y z)) (+ x y)) |
| 1.0ms | z | @ | 0 | (neg (+ (* z (/ x y)) z)) |
| 1.0ms | y | @ | inf | (* (/ y (- z y)) z) |
| 1× | egg-herbie |
| 9 422× | lower-fma.f64 |
| 9 422× | lower-fma.f32 |
| 4 514× | lower-*.f64 |
| 4 514× | lower-*.f32 |
| 3 136× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 496 | 5956 |
| 1 | 1574 | 5687 |
| 2 | 4742 | 5469 |
| 0 | 8411 | 5235 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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 (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ y z)) |
(/ (- z y) z) |
(/ (- z y) z) |
(/ (- z y) z) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(* -1 (/ y z)) |
(* y (- (/ 1 y) (/ 1 z))) |
(* y (- (/ 1 y) (/ 1 z))) |
(* y (- (/ 1 y) (/ 1 z))) |
(* -1 (/ y z)) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
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(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
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x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
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(* -1 z) |
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(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
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(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
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(* -1 z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(* -1 (/ (* x z) y)) |
(* x (- (* -1 (/ z x)) (/ z y))) |
(* x (- (* -1 (/ z x)) (/ z y))) |
(* x (- (* -1 (/ z x)) (/ z y))) |
(* -1 (/ (* x z) y)) |
(* -1 (* x (- (/ z x) (* -1 (/ z y))))) |
(* -1 (* x (- (/ z x) (* -1 (/ z y))))) |
(* -1 (* x (- (/ z x) (* -1 (/ z y))))) |
(* -1 (/ (* x z) y)) |
(/ (- (* -1 (* y z)) (* x z)) y) |
(/ (- (* -1 (* y z)) (* x z)) y) |
(/ (- (* -1 (* y z)) (* x z)) y) |
(* -1 z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(* -1 z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
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(* z (+ 1 (/ x y))) |
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(* -1 (* z (- (* -1 (/ x y)) 1))) |
(* -1 (* z (- (* -1 (/ x y)) 1))) |
(* -1 (* z (- (* -1 (/ x y)) 1))) |
z |
(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
(/ (* x z) y) |
(* x (+ (/ z x) (/ z y))) |
(* x (+ (/ z x) (/ z y))) |
(* x (+ (/ z x) (/ z y))) |
(/ (* x z) y) |
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(* -1 (* x (+ (* -1 (/ z x)) (* -1 (/ z y))))) |
(* -1 (* x (+ (* -1 (/ z x)) (* -1 (/ z y))))) |
(/ (* x z) y) |
(/ (+ (* x z) (* y z)) y) |
(/ (+ (* x z) (* y z)) y) |
(/ (+ (* x z) (* y z)) y) |
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(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
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(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
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(/ x y) |
(/ x y) |
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(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
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(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
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(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
y |
(* y (+ 1 (/ y z))) |
(* y (+ 1 (* y (+ (/ 1 z) (/ y (pow z 2)))))) |
(* y (+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z))))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (pow z 2) y))) |
(- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2)))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (pow z 2) y))) |
(+ (* -1 z) (* -1 (/ (+ (/ (pow z 3) y) (pow z 2)) y))) |
(+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (* -1 (pow z 3))) y)) (pow z 2)) y))) |
(* -1 z) |
(* z (- (* -1 (/ z y)) 1)) |
(* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1)) |
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)) |
y |
(+ y (/ (pow y 2) z)) |
(- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z))) |
(- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2))))) |
y |
(+ y (/ (pow y 2) z)) |
(+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) |
(+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) |
(/ y z) |
(* y (+ (/ 1 z) (/ y (pow z 2)))) |
(* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z))) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow z 3)) (/ y (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z))) |
-1 |
(- (* -1 (/ z y)) 1) |
(- (* -1 (/ (pow z 2) (pow y 2))) (+ 1 (/ z y))) |
(- (* -1 (/ (pow z 3) (pow y 3))) (+ 1 (+ (/ z y) (/ (pow z 2) (pow y 2))))) |
-1 |
(- (* -1 (/ z y)) 1) |
(- (* -1 (/ (- (/ (pow z 2) y) (* -1 z)) y)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y)) (* -1 z)) y)) 1) |
-1 |
(- (* -1 (/ z y)) 1) |
(- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1) |
(- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
(/ y z) |
(/ (+ y (/ (pow y 2) z)) z) |
(/ (- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z))) z) |
(/ (- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2))))) z) |
(/ y z) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) z) (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) z)) (* -1 (pow y 3))) z)) (pow y 2)) z))) z)) |
(* -1 y) |
(- z y) |
(- z y) |
(- z y) |
z |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
z |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
z |
(+ z (* -1 y)) |
(+ z (* -1 y)) |
(+ z (* -1 y)) |
(* -1 y) |
(* y (- (/ z y) 1)) |
(* y (- (/ z y) 1)) |
(* y (- (/ z y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(/ 1 x) |
(+ (* -1 (* y (+ (/ 1 (* x z)) (/ 1 (pow x 2))))) (/ 1 x)) |
(+ (* y (- (/ (* y (+ (/ 1 (* x z)) (/ 1 (pow x 2)))) x) (+ (/ 1 (* x z)) (/ 1 (pow x 2))))) (/ 1 x)) |
(+ (* y (- (* y (- (* -1 (* y (+ (/ 1 (* (pow x 3) z)) (/ 1 (pow x 4))))) (* -1 (/ (+ (/ 1 (* x z)) (/ 1 (pow x 2))) x)))) (+ (/ 1 (* x z)) (/ 1 (pow x 2))))) (/ 1 x)) |
(/ -1 z) |
(- (/ 1 y) (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(- (+ (* -1 (/ (* x (- 1 (* -1 (/ x z)))) (pow y 2))) (/ 1 y)) (+ (* -1 (/ x (* y z))) (/ 1 z))) |
(- (+ (/ 1 y) (/ (* (pow x 2) (- 1 (* -1 (/ x z)))) (pow y 3))) (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ (* x (- 1 (* -1 (/ x z)))) (pow y 2))))) |
(/ -1 z) |
(- (+ (/ 1 y) (/ x (* y z))) (/ 1 z)) |
(- (* -1 (/ (- (/ (* x (+ 1 (/ x z))) y) (+ 1 (/ x z))) y)) (/ 1 z)) |
(- (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 2) (+ 1 (/ x z))) y) (* x (+ 1 (/ x z)))) y)) (+ 1 (/ x z))) y)) (/ 1 z)) |
(* -1 (/ y (* z (+ x y)))) |
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z) |
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z) |
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z) |
(/ 1 (+ x y)) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
(/ 1 (+ x y)) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
(/ (- 1 (/ y z)) y) |
(- (+ (* x (- (/ 1 (* y z)) (/ 1 (pow y 2)))) (/ 1 y)) (/ 1 z)) |
(- (+ (* x (- (+ (* x (- (/ 1 (pow y 3)) (/ 1 (* (pow y 2) z)))) (/ 1 (* y z))) (/ 1 (pow y 2)))) (/ 1 y)) (/ 1 z)) |
(- (+ (* x (- (+ (* x (- (+ (* x (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 4)))) (/ 1 (pow y 3))) (/ 1 (* (pow y 2) z)))) (/ 1 (* y z))) (/ 1 (pow y 2)))) (/ 1 y)) (/ 1 z)) |
(/ (- 1 (/ y z)) x) |
(/ (- (+ 1 (* -1 (/ (* y (- 1 (/ y z))) x))) (/ y z)) x) |
(/ (- (+ 1 (/ (* (pow y 2) (- 1 (/ y z))) (pow x 2))) (+ (/ y z) (/ (* y (- 1 (/ y z))) x))) x) |
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (- 1 (/ y z))) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (- 1 (/ y z))) (pow x 2))) (+ (/ y z) (/ (* y (- 1 (/ y z))) x)))) x) |
(/ (- 1 (/ y z)) x) |
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (/ (* y (- 1 (/ y z))) x)) x)) |
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (/ (* (pow y 2) (- 1 (/ y z))) x) (* y (- 1 (/ y z)))) x))) x)) |
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (- 1 (/ y z))) x) (* (pow y 2) (- 1 (/ y z)))) x)) (* y (- 1 (/ y z)))) x))) x)) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(* -1 (/ y z)) |
(* y (- (/ 1 y) (/ 1 z))) |
(* y (- (/ 1 y) (/ 1 z))) |
(* y (- (/ 1 y) (/ 1 z))) |
(* -1 (/ y z)) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(* -1 (/ y z)) |
(/ (- z y) z) |
(/ (- z y) z) |
(/ (- z y) z) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ 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) |
| Outputs |
|---|
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y (- 1 (/ y z))) |
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/ x (- 1 (/ y z))) |
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(/.f64 (-.f64 (/.f64 z (+.f64 y x)) (/.f64 y (+.f64 y x))) z) |
(/ 1 (+ x y)) |
(/.f64 #s(literal 1 binary64) (+.f64 y x)) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 z (+.f64 y x)))) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 z (+.f64 y x)))) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 z (+.f64 y x)))) |
(/ 1 (+ x y)) |
(/.f64 #s(literal 1 binary64) (+.f64 y x)) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 z (+.f64 y x)))) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 z (+.f64 y x)))) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 z (+.f64 y x)))) |
(/ (- 1 (/ y z)) y) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) y) |
(- (+ (* x (- (/ 1 (* y z)) (/ 1 (pow y 2)))) (/ 1 y)) (/ 1 z)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) z))) |
(- (+ (* x (- (+ (* x (- (/ 1 (pow y 3)) (/ 1 (* (pow y 2) z)))) (/ 1 (* y z))) (/ 1 (pow y 2)))) (/ 1 y)) (/ 1 z)) |
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y z)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) z))) |
(- (+ (* x (- (+ (* x (- (+ (* x (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 4)))) (/ 1 (pow y 3))) (/ 1 (* (pow y 2) z)))) (/ 1 (* y z))) (/ 1 (pow y 2)))) (/ 1 y)) (/ 1 z)) |
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y z)))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y z))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) z))) |
(/ (- 1 (/ y z)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(/ (- (+ 1 (* -1 (/ (* y (- 1 (/ y z))) x))) (/ y z)) x) |
(/.f64 (fma.f64 y (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) |
(/ (- (+ 1 (/ (* (pow y 2) (- 1 (/ y z))) (pow x 2))) (+ (/ y z) (/ (* y (- 1 (/ y z))) x))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 y (+.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 (*.f64 y (fma.f64 y (/.f64 y (neg.f64 z)) y)) x)) x) (/.f64 y z))) x) |
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (- 1 (/ y z))) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (- 1 (/ y z))) (pow x 2))) (+ (/ y z) (/ (* y (- 1 (/ y z))) x)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (/.f64 (fma.f64 y (+.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 (*.f64 y (fma.f64 y (/.f64 y (neg.f64 z)) y)) x)) x) (/.f64 y z)))) x) |
(/ (- 1 (/ y z)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (/ (* y (- 1 (/ y z))) x)) x)) |
(/.f64 (fma.f64 y (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) |
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (/ (* (pow y 2) (- 1 (/ y z))) x) (* y (- 1 (/ y z)))) x))) x)) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (fma.f64 y (+.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 (*.f64 y (fma.f64 y (/.f64 y (neg.f64 z)) y)) x)) x)) x) |
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (- 1 (/ y z))) x) (* (pow y 2) (- 1 (/ y z)))) x)) (* y (- 1 (/ y z)))) x))) x)) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (fma.f64 y (+.f64 (/.f64 y z) #s(literal -1 binary64)) (/.f64 (fma.f64 y (fma.f64 y (/.f64 y (neg.f64 z)) y) (/.f64 (*.f64 y (*.f64 y (fma.f64 y (/.f64 y z) (neg.f64 y)))) x)) x)) x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* -1 (/ y z)) |
(/.f64 y (neg.f64 z)) |
(* y (- (/ 1 y) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* y (- (/ 1 y) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* y (- (/ 1 y) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* -1 (/ y z)) |
(/.f64 y (neg.f64 z)) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* -1 (/ y z)) |
(/.f64 y (neg.f64 z)) |
(/ (- z y) z) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/ (- z y) z) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/ (- z y) z) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
| 1× | batch-egg-rewrite |
| 5 246× | lower-/.f32 |
| 5 230× | lower-/.f64 |
| 4 454× | lower-fma.f32 |
| 4 452× | lower-fma.f64 |
| 4 360× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 133 |
| 0 | 43 | 125 |
| 1 | 169 | 125 |
| 2 | 1160 | 125 |
| 0 | 8193 | 125 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
(+.f64 x y) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
(neg.f64 z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(fma.f64 z (/.f64 x y) z) |
(/.f64 x y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
(*.f64 (/.f64 y (-.f64 z y)) z) |
(/.f64 y (-.f64 z y)) |
(-.f64 z y) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 y z) |
| Outputs |
|---|
(exp.f64 (log.f64 (/.f64 y z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 y (neg.f64 z))) |
(neg.f64 (/.f64 y (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y #s(literal 1 binary64)))) |
(/.f64 y z) |
(/.f64 (/.f64 y z) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 y))) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 y (neg.f64 z)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) z) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 y #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (/.f64 y #s(literal 1 binary64))) (neg.f64 z)) |
(pow.f64 (/.f64 z y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y z) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 z y) (/.f64 z y)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 y (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y z) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 z))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) y) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) x)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) y)) |
(+.f64 (*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (/.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) y)) |
(neg.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (+.f64 y x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (+.f64 y x) (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) |
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 y x))) |
(/.f64 (neg.f64 (+.f64 y x)) (+.f64 #s(literal -1 binary64) (/.f64 y z))) |
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 y x))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)))) |
(/.f64 (neg.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 y x))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))) (+.f64 #s(literal -1 binary64) (/.f64 y z))) |
(/.f64 (*.f64 (+.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))))) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal 1 binary64)) (/.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (/.f64 (-.f64 x y) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))))) (/.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(+.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z))) |
(+.f64 (/.f64 y (neg.f64 z)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z)))) (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z)) #s(literal 1 binary64)) |
(fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) y #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 y (neg.f64 z)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 y (neg.f64 z))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (+.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (-.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 y (neg.f64 z)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (neg.f64 z)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))))) |
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(exp.f64 (log.f64 (/.f64 y z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 y (neg.f64 z))) |
(neg.f64 (/.f64 y (neg.f64 z))) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y #s(literal 1 binary64)))) |
(/.f64 y z) |
(/.f64 (/.f64 y z) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 y))) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 y (neg.f64 z)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) z) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 y #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (/.f64 y #s(literal 1 binary64))) (neg.f64 z)) |
(pow.f64 (/.f64 z y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y z) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 z y) (/.f64 z y)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 y (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 y z) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 z))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) y) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y #s(literal -1 binary64))) |
Compiled 25 782 to 2 338 computations (90.9% saved)
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 304 | 8 | 1 312 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 309 | 12 | 1 321 |
| Status | Accuracy | Program |
|---|---|---|
| 44.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z (+.f64 y x)) (neg.f64 y))) | |
| ▶ | 49.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
| ✓ | 46.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
| ▶ | 50.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
| 46.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) | |
| 15.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) | |
| 37.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y)))) | |
| ▶ | 50.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) |
| ▶ | 19.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))))) |
| ✓ | 33.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| ▶ | 15.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
| 20.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (neg (+ (* z (/ x y)) z)) (/.f64 (*.f64 z (neg.f64 x)) y))) |
Compiled 233 to 128 computations (45.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 z y) |
| ✓ | cost-diff | 0 | (/.f64 x (-.f64 z y)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 x (-.f64 z y)) z) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
| ✓ | cost-diff | 0 | (*.f64 z (/.f64 x y)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))) |
| ✓ | cost-diff | 0 | (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y)))) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))))) |
| ✓ | cost-diff | 0 | (/.f64 y z) |
| ✓ | cost-diff | 0 | (fma.f64 y (/.f64 y z) y) |
| ✓ | cost-diff | 0 | #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y)) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
| ✓ | cost-diff | 0 | (+.f64 y x) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
| ✓ | cost-diff | 0 | (/.f64 z y) |
| ✓ | cost-diff | 0 | (fma.f64 x (/.f64 z y) z) |
| ✓ | cost-diff | 0 | (neg.f64 (fma.f64 x (/.f64 z y) z)) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) |
| 1 244× | lower-fma.f32 |
| 1 240× | lower-fma.f64 |
| 876× | lower-*.f32 |
| 872× | lower-*.f64 |
| 556× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 200 |
| 0 | 47 | 200 |
| 1 | 79 | 197 |
| 2 | 122 | 197 |
| 3 | 210 | 197 |
| 4 | 360 | 197 |
| 5 | 624 | 197 |
| 6 | 1325 | 197 |
| 7 | 1907 | 197 |
| 8 | 2333 | 197 |
| 9 | 2622 | 197 |
| 10 | 2678 | 197 |
| 11 | 2706 | 197 |
| 12 | 2715 | 197 |
| 13 | 2716 | 197 |
| 14 | 2728 | 197 |
| 15 | 2730 | 197 |
| 0 | 2730 | 197 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(fma.f64 x (/.f64 z y) z) |
x |
(/.f64 z y) |
z |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
#s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y)) |
(fma.f64 y (/.f64 y z) y) |
y |
(/.f64 y z) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))))) |
(neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y)))) |
#s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))) |
(*.f64 z (/.f64 x y)) |
z |
(/.f64 x y) |
x |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/.f64 x (-.f64 z y)) |
x |
(-.f64 z y) |
z |
y |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(fma.f64 x (/.f64 z y) z) |
x |
(/.f64 z y) |
z |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
#s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y)) |
(fma.f64 y (/.f64 y z) y) |
y |
(/.f64 y z) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 x z) y)))) |
(neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y)))) |
(neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 x z) y))) |
#s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))) |
#s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 x z) y)) |
(*.f64 z (/.f64 x y)) |
(/.f64 (*.f64 x z) y) |
z |
(/.f64 x y) |
x |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/.f64 (*.f64 x z) (-.f64 z y)) |
(/.f64 x (-.f64 z y)) |
x |
(-.f64 z y) |
z |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 x (-.f64 z y)) |
| ✓ | accuracy | 100.0% | (-.f64 z y) |
| ✓ | accuracy | 88.8% | (*.f64 (/.f64 x (-.f64 z y)) z) |
| ✓ | accuracy | 54.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
| ✓ | accuracy | 100.0% | (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y)))) |
| ✓ | accuracy | 93.7% | (*.f64 z (/.f64 x y)) |
| ✓ | accuracy | 53.9% | #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))) |
| ✓ | accuracy | 53.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))))) |
| ✓ | accuracy | 100.0% | (/.f64 y z) |
| ✓ | accuracy | 99.9% | (fma.f64 y (/.f64 y z) y) |
| ✓ | accuracy | 48.8% | #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y)) |
| ✓ | accuracy | 47.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
| ✓ | accuracy | 100.0% | (+.f64 y x) |
| ✓ | accuracy | 49.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
| ✓ | accuracy | 100.0% | (/.f64 z y) |
| ✓ | accuracy | 100.0% | (neg.f64 (fma.f64 x (/.f64 z y) z)) |
| ✓ | accuracy | 94.4% | (fma.f64 x (/.f64 z y) z) |
| ✓ | accuracy | 53.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) |
| 50.0ms | 256× | 0 | valid |
Compiled 136 to 26 computations (80.9% saved)
ival-div: 16.0ms (46% of total)ival-mult: 7.0ms (20.1% of total)ival-add: 6.0ms (17.2% of total)ival-sub: 2.0ms (5.7% of total)ival-neg: 2.0ms (5.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (fma.f64 x (/.f64 z y) z)) (patch (neg.f64 (fma.f64 x (/.f64 z y) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (/.f64 z y) z) (patch (fma.f64 x (/.f64 z y) z) #<representation binary64>) () ()) |
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y)) (patch #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (/.f64 y z) y) (patch (fma.f64 y (/.f64 y z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y)))) (patch (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))) (patch #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 z (/.f64 x y)) (patch (*.f64 z (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (-.f64 z y)) z) (patch (*.f64 (/.f64 x (-.f64 z y)) z) #<representation binary64>) () ()) |
#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ()) |
#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ y (- 1 (/ y z))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 (* -1 (/ x z))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor inf z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (/ (* y (+ x y)) z))) (taylor inf z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) (taylor inf z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) (taylor inf z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor -inf z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (/ (* y (+ x y)) z))) (taylor -inf z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) (taylor -inf z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) (taylor -inf z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 x) (#s(alt (neg.f64 (fma.f64 x (/.f64 z y) z)) (patch (neg.f64 (fma.f64 x (/.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (* x z) y)) z) (taylor 0 x) (#s(alt (neg.f64 (fma.f64 x (/.f64 z y) z)) (patch (neg.f64 (fma.f64 x (/.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (* x z) y)) z) (taylor 0 x) (#s(alt (neg.f64 (fma.f64 x (/.f64 z y) z)) (patch (neg.f64 (fma.f64 x (/.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (* x z) y)) z) (taylor 0 x) (#s(alt (neg.f64 (fma.f64 x (/.f64 z y) z)) (patch (neg.f64 (fma.f64 x (/.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor inf x) (#s(alt (neg.f64 (fma.f64 x (/.f64 z y) z)) (patch (neg.f64 (fma.f64 x (/.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1 (/ z x)) (/ z y))) (taylor inf x) (#s(alt (neg.f64 (fma.f64 x (/.f64 z y) z)) (patch (neg.f64 (fma.f64 x (/.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1 (/ z x)) (/ z y))) (taylor inf x) (#s(alt (neg.f64 (fma.f64 x (/.f64 z y) z)) (patch (neg.f64 (fma.f64 x (/.f64 z y) z)) #<representation binary64>) () ())) ()) |
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#s(alt (* y (- (/ z y) 1)) (taylor inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ z y) 1)) (taylor inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ z y))))) (taylor -inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ z y))))) (taylor -inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ z y))))) (taylor -inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
144 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | (* (/ x (- z y)) z) |
| 2.0ms | x | @ | 0 | (neg (+ (* x (/ z y)) z)) |
| 1.0ms | x | @ | inf | (* (/ x (- z y)) z) |
| 0.0ms | x | @ | -inf | (/ x (- z y)) |
| 0.0ms | x | @ | 0 | (/ x (- z y)) |
| 1× | egg-herbie |
| 13 178× | lower-fma.f64 |
| 13 178× | lower-fma.f32 |
| 5 162× | lower-*.f64 |
| 5 162× | lower-*.f32 |
| 3 482× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 469 | 6382 |
| 1 | 1503 | 6082 |
| 2 | 4306 | 5504 |
| 0 | 8235 | 5258 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(* -1 z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(* -1 (/ (* x z) y)) |
(* x (- (* -1 (/ z x)) (/ z y))) |
(* x (- (* -1 (/ z x)) (/ z y))) |
(* x (- (* -1 (/ z x)) (/ z y))) |
(* -1 (/ (* x z) y)) |
(* -1 (* x (- (/ z x) (* -1 (/ z y))))) |
(* -1 (* x (- (/ z x) (* -1 (/ z y))))) |
(* -1 (* x (- (/ z x) (* -1 (/ z y))))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (- 1 (* -1 (/ x y))))) |
(* -1 (* z (- 1 (* -1 (/ x y))))) |
(* -1 (* z (- 1 (* -1 (/ x y))))) |
(* -1 (* z (- 1 (* -1 (/ x y))))) |
(* -1 (/ (* x z) y)) |
(/ (- (* -1 (* y z)) (* x z)) y) |
(/ (- (* -1 (* y z)) (* x z)) y) |
(/ (- (* -1 (* y z)) (* x z)) y) |
(* -1 z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(* -1 z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
z |
(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
(/ (* x z) y) |
(* x (+ (/ z x) (/ z y))) |
(* x (+ (/ z x) (/ z y))) |
(* x (+ (/ z x) (/ z y))) |
(/ (* x z) y) |
(* -1 (* x (+ (* -1 (/ z x)) (* -1 (/ z y))))) |
(* -1 (* x (+ (* -1 (/ z x)) (* -1 (/ z y))))) |
(* -1 (* x (+ (* -1 (/ z x)) (* -1 (/ z y))))) |
(* z (+ 1 (/ x y))) |
(* z (+ 1 (/ x y))) |
(* z (+ 1 (/ x y))) |
(* z (+ 1 (/ x y))) |
(* z (+ 1 (/ x y))) |
(* z (+ 1 (/ x y))) |
(* z (+ 1 (/ x y))) |
(* z (+ 1 (/ x y))) |
(* -1 (* z (- (* -1 (/ x y)) 1))) |
(* -1 (* z (- (* -1 (/ x y)) 1))) |
(* -1 (* z (- (* -1 (/ x y)) 1))) |
(* -1 (* z (- (* -1 (/ x y)) 1))) |
(/ (* x z) y) |
(/ (+ (* x z) (* y z)) y) |
(/ (+ (* x z) (* y z)) y) |
(/ (+ (* x z) (* y z)) y) |
z |
(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
z |
(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
(+ z (/ (* x 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 y) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
y |
(* y (+ 1 (/ y z))) |
(* y (+ 1 (* y (+ (/ 1 z) (/ y (pow z 2)))))) |
(* y (+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z))))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (pow z 2) y))) |
(- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2)))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (pow z 2) y))) |
(+ (* -1 z) (* -1 (/ (+ (/ (pow z 3) y) (pow z 2)) y))) |
(+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (* -1 (pow z 3))) y)) (pow z 2)) y))) |
(* -1 z) |
(* z (- (* -1 (/ z y)) 1)) |
(* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1)) |
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)) |
y |
(+ y (/ (pow y 2) z)) |
(- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z))) |
(- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2))))) |
y |
(+ y (/ (pow y 2) z)) |
(+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) |
(+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) |
y |
(* y (+ 1 (/ y z))) |
(* y (+ 1 (/ y z))) |
(* y (+ 1 (/ y z))) |
(/ (pow y 2) z) |
(* (pow y 2) (+ (/ 1 y) (/ 1 z))) |
(* (pow y 2) (+ (/ 1 y) (/ 1 z))) |
(* (pow y 2) (+ (/ 1 y) (/ 1 z))) |
(/ (pow y 2) z) |
(* (pow y 2) (+ (/ 1 y) (/ 1 z))) |
(* (pow y 2) (+ (/ 1 y) (/ 1 z))) |
(* (pow y 2) (+ (/ 1 y) (/ 1 z))) |
(/ (pow y 2) z) |
(/ (+ (* y z) (pow y 2)) z) |
(/ (+ (* y z) (pow y 2)) z) |
(/ (+ (* y z) (pow y 2)) z) |
y |
(+ y (/ (pow y 2) z)) |
(+ y (/ (pow y 2) z)) |
(+ y (/ (pow y 2) z)) |
y |
(+ y (/ (pow y 2) z)) |
(+ y (/ (pow y 2) z)) |
(+ y (/ (pow y 2) 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) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (- 1 (* -1 (/ x y))))) |
(* -1 (* z (- 1 (* -1 (/ x y))))) |
(* -1 (* z (- 1 (* -1 (/ x y))))) |
(* -1 (* z (- 1 (* -1 (/ x y))))) |
(* -1 z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(* -1 (/ (* x z) y)) |
(* x (- (* -1 (/ z x)) (/ z y))) |
(* x (- (* -1 (/ z x)) (/ z y))) |
(* x (- (* -1 (/ z x)) (/ z y))) |
(* -1 (/ (* x z) y)) |
(* -1 (* x (- (/ z x) (* -1 (/ z y))))) |
(* -1 (* x (- (/ z x) (* -1 (/ z y))))) |
(* -1 (* x (- (/ z x) (* -1 (/ z y))))) |
(* -1 (/ (* x z) y)) |
(/ (- (* -1 (* y z)) (* x z)) y) |
(/ (- (* -1 (* y z)) (* x z)) y) |
(/ (- (* -1 (* y z)) (* x z)) y) |
(* -1 z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(* -1 z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(* z (+ 1 (/ x y))) |
(* z (+ 1 (/ x y))) |
(* z (+ 1 (/ x y))) |
(* z (+ 1 (/ x y))) |
(* z (+ 1 (/ x y))) |
(* z (+ 1 (/ x y))) |
(* z (+ 1 (/ x y))) |
(* z (+ 1 (/ x y))) |
(* -1 (* z (- (* -1 (/ x y)) 1))) |
(* -1 (* z (- (* -1 (/ x y)) 1))) |
(* -1 (* z (- (* -1 (/ x y)) 1))) |
(* -1 (* z (- (* -1 (/ x y)) 1))) |
z |
(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
(/ (* x z) y) |
(* x (+ (/ z x) (/ z y))) |
(* x (+ (/ z x) (/ z y))) |
(* x (+ (/ z x) (/ z y))) |
(/ (* x z) y) |
(* -1 (* x (+ (* -1 (/ z x)) (* -1 (/ z y))))) |
(* -1 (* x (+ (* -1 (/ z x)) (* -1 (/ z y))))) |
(* -1 (* x (+ (* -1 (/ z x)) (* -1 (/ z y))))) |
(/ (* x z) y) |
(/ (+ (* x z) (* y z)) y) |
(/ (+ (* x z) (* y z)) y) |
(/ (+ (* x z) (* y z)) y) |
z |
(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
z |
(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) |
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) |
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))) |
x |
(+ x (/ (* x y) z)) |
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) |
(- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2))))) |
x |
(+ x (/ (* x y) z)) |
(+ x (* -1 (/ (- (* -1 (/ (* x (pow y 2)) z)) (* x y)) z))) |
(+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) z) (* -1 (* x (pow y 2)))) z)) (* x y)) z))) |
x |
(+ x (/ (* x y) z)) |
(+ x (* y (- (/ (* x y) (pow z 2)) (* -1 (/ x z))))) |
(+ x (* y (- (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (* -1 (/ x z))))) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y) |
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 3)) (pow y 2)))) (/ (* x (pow z 2)) y)) y) |
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 4)) (pow y 3)))) (+ (/ (* x (pow z 2)) y) (/ (* x (pow z 3)) (pow y 2)))) y) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow z 3)) y)) (* x (pow z 2))) y)) (* x z)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 4)) y) (* -1 (* x (pow z 3)))) y)) (* x (pow z 2))) y)) (* x z)) y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(* -1 (/ x y)) |
(+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))) |
(+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))) |
(+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))) |
(/ x z) |
(/ (+ x (/ (* x y) z)) z) |
(/ (- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) z) |
(/ (- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2))))) z) |
(/ x z) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* x y) z))) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* x y) (/ (* x (pow y 2)) z)) z))) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z))) z)) |
(/ x z) |
(+ (/ x z) (/ (* x y) (pow z 2))) |
(+ (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (/ x z)) |
(+ (* y (- (* y (- (/ (* x y) (pow z 4)) (* -1 (/ x (pow z 3))))) (* -1 (/ x (pow z 2))))) (/ x z)) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ (* x z) y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow z 2)) (pow y 2)))) (/ (* x z) y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow z 3)) (pow y 3)))) (+ (/ (* x z) y) (/ (* x (pow z 2)) (pow y 2)))) y) |
(* -1 (/ x y)) |
(* -1 (/ (+ x (/ (* x z) y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow z 2)) y)) (* x z)) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 3)) y) (* -1 (* x (pow z 2)))) y)) (* x z)) y))) y)) |
(* -1 y) |
(- z y) |
(- z y) |
(- z y) |
z |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
z |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
z |
(+ z (* -1 y)) |
(+ z (* -1 y)) |
(+ z (* -1 y)) |
(* -1 y) |
(* y (- (/ z y) 1)) |
(* y (- (/ z y) 1)) |
(* y (- (/ z y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
| Outputs |
|---|
(/ y (- 1 (/ y z))) |
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (neg.f64 x)) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (neg.f64 x)) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (neg.f64 x)) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (neg.f64 x)) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+.f64 x (fma.f64 y (/.f64 x z) y)) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(fma.f64 y (+.f64 (/.f64 x z) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y z) #s(literal 1 binary64))) x) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(fma.f64 y (fma.f64 y (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) z) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 #s(literal 1 binary64) (/.f64 x z))) x) |
(* -1 z) |
(neg.f64 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(-.f64 (/.f64 (neg.f64 (*.f64 z (+.f64 x z))) y) z) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(-.f64 (fma.f64 z (*.f64 (/.f64 z (*.f64 y y)) (-.f64 (neg.f64 x) z)) (/.f64 (neg.f64 (*.f64 z (+.f64 x z))) y)) z) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)) (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) (-.f64 (neg.f64 x) z)) (-.f64 (/.f64 (*.f64 z z) y) (neg.f64 z)) (/.f64 (*.f64 z (neg.f64 z)) y))) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(-.f64 (/.f64 (neg.f64 (*.f64 z (+.f64 x z))) y) z) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z (+.f64 x (/.f64 (*.f64 z (+.f64 x z)) y)))) y)) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(-.f64 (neg.f64 z) (/.f64 (fma.f64 z (+.f64 x z) (/.f64 (*.f64 (*.f64 z (+.f64 x z)) (fma.f64 z (/.f64 z y) z)) y)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 z y) (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (+.f64 y x) y))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 z (fma.f64 z (-.f64 (fma.f64 (/.f64 z (*.f64 y y)) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 #s(literal -1 binary64) y)) (/.f64 x (*.f64 y y))) (neg.f64 (/.f64 (+.f64 y x) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 z (-.f64 (fma.f64 z (fma.f64 z (neg.f64 (fma.f64 z (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 z (*.f64 y (*.f64 y y))))) (*.f64 (/.f64 z (*.f64 y y)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) (*.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) (/.f64 (+.f64 y x) y))) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 x (fma.f64 (+.f64 y x) (/.f64 y z) y)) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(+.f64 x (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) y)) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (fma.f64 y (fma.f64 (*.f64 y y) (/.f64 (+.f64 y x) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) x)) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 x (fma.f64 (+.f64 y x) (/.f64 y z) y)) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+.f64 x (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) y)) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(+.f64 (+.f64 y x) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 y x) (*.f64 y (fma.f64 y (/.f64 y z) y))) z) (*.f64 y (+.f64 y x))) z)) |
(* -1 z) |
(neg.f64 z) |
(- (* -1 (/ (* x z) y)) z) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(- (* -1 (/ (* x z) y)) z) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(- (* -1 (/ (* x z) y)) z) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(* x (- (* -1 (/ z x)) (/ z y))) |
(*.f64 x (-.f64 (/.f64 z (neg.f64 x)) (/.f64 z y))) |
(* x (- (* -1 (/ z x)) (/ z y))) |
(*.f64 x (-.f64 (/.f64 z (neg.f64 x)) (/.f64 z y))) |
(* x (- (* -1 (/ z x)) (/ z y))) |
(*.f64 x (-.f64 (/.f64 z (neg.f64 x)) (/.f64 z y))) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(* -1 (* x (- (/ z x) (* -1 (/ z y))))) |
(*.f64 x (-.f64 (/.f64 z (neg.f64 x)) (/.f64 z y))) |
(* -1 (* x (- (/ z x) (* -1 (/ z y))))) |
(*.f64 x (-.f64 (/.f64 z (neg.f64 x)) (/.f64 z y))) |
(* -1 (* x (- (/ z x) (* -1 (/ z y))))) |
(*.f64 x (-.f64 (/.f64 z (neg.f64 x)) (/.f64 z y))) |
(* -1 (* z (+ 1 (/ x y)))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(* -1 (* z (+ 1 (/ x y)))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(* -1 (* z (+ 1 (/ x y)))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(* -1 (* z (+ 1 (/ x y)))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(* -1 (* z (+ 1 (/ x y)))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(* -1 (* z (+ 1 (/ x y)))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(* -1 (* z (+ 1 (/ x y)))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(* -1 (* z (+ 1 (/ x y)))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(* -1 (* z (- 1 (* -1 (/ x y))))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(* -1 (* z (- 1 (* -1 (/ x y))))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(* -1 (* z (- 1 (* -1 (/ x y))))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(* -1 (* z (- 1 (* -1 (/ x y))))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(/ (- (* -1 (* y z)) (* x z)) y) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y)) |
(/ (- (* -1 (* y z)) (* x z)) y) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y)) |
(/ (- (* -1 (* y z)) (* x z)) y) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y)) |
(* -1 z) |
(neg.f64 z) |
(- (* -1 (/ (* x z) y)) z) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(- (* -1 (/ (* x z) y)) z) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(- (* -1 (/ (* x z) y)) z) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(* -1 z) |
(neg.f64 z) |
(- (* -1 (/ (* x z) y)) z) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(- (* -1 (/ (* x z) y)) z) |
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(* y (- (/ z y) 1)) |
(-.f64 (/.f64 (*.f64 y z) y) y) |
(* y (- (/ z y) 1)) |
(-.f64 (/.f64 (*.f64 y z) y) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(-.f64 (/.f64 (*.f64 y z) y) y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(-.f64 (/.f64 (*.f64 y z) y) y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(-.f64 (/.f64 (*.f64 y z) y) y) |
| 1× | batch-egg-rewrite |
| 4 610× | lower-/.f32 |
| 4 602× | lower-/.f64 |
| 4 078× | lower-fma.f32 |
| 4 074× | lower-fma.f64 |
| 3 660× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 184 |
| 0 | 47 | 184 |
| 1 | 181 | 181 |
| 2 | 1377 | 181 |
| 0 | 8620 | 181 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(fma.f64 x (/.f64 z y) z) |
(/.f64 z y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
(+.f64 y x) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
#s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y)) |
(fma.f64 y (/.f64 y z) y) |
(/.f64 y z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))))) |
(neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y)))) |
#s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))) |
(*.f64 z (/.f64 x y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/.f64 x (-.f64 z y)) |
(-.f64 z y) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) |
(+.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (/.f64 z y) z))) |
(+.f64 (neg.f64 z) (neg.f64 (*.f64 x (/.f64 z y)))) |
(+.f64 (neg.f64 (*.f64 x (/.f64 z y))) (neg.f64 z)) |
(+.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64)) (*.f64 z #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 z y) z)) |
(-.f64 (neg.f64 z) (*.f64 x (/.f64 z y))) |
(-.f64 (neg.f64 (*.f64 x (/.f64 z y))) z) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (neg.f64 (-.f64 (*.f64 x (/.f64 z y)) z))) (/.f64 (*.f64 z z) (neg.f64 (-.f64 (*.f64 x (/.f64 z y)) z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x (/.f64 z y) z) (fma.f64 x (/.f64 z y) z) #s(literal 0 binary64))) (/.f64 (*.f64 (fma.f64 x (/.f64 z y) z) (*.f64 (fma.f64 x (/.f64 z y) z) (fma.f64 x (/.f64 z y) z))) (fma.f64 (fma.f64 x (/.f64 z y) z) (fma.f64 x (/.f64 z y) z) #s(literal 0 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (fma.f64 x (/.f64 z (neg.f64 y)) z)) (/.f64 (*.f64 z z) (fma.f64 x (/.f64 z (neg.f64 y)) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 z y) z)) (/.f64 (*.f64 (fma.f64 x (/.f64 z y) z) (fma.f64 x (/.f64 z y) z)) (fma.f64 x (/.f64 z y) z))) |
(fma.f64 x (/.f64 z (neg.f64 y)) (neg.f64 z)) |
(fma.f64 z #s(literal -1 binary64) (*.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 z y) (neg.f64 x) (neg.f64 z)) |
(fma.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64) (*.f64 z #s(literal -1 binary64))) |
(fma.f64 (neg.f64 x) (/.f64 z y) (neg.f64 z)) |
(fma.f64 #s(literal -1 binary64) z (neg.f64 (*.f64 x (/.f64 z y)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 z y)) (neg.f64 z)) |
(fma.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) |
(fma.f64 (/.f64 z (neg.f64 y)) x (neg.f64 z)) |
(fma.f64 (neg.f64 (*.f64 x z)) (/.f64 #s(literal 1 binary64) y) (neg.f64 z)) |
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 x y) (neg.f64 z)) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 z y) (neg.f64 z)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 z (-.f64 z (*.f64 x (/.f64 z y))) (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)))) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 z y)) z)) (-.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (*.f64 x (/.f64 z y))) (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y))) (neg.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (/.f64 z y)) z) (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (-.f64 (*.f64 z z) (*.f64 (neg.f64 (*.f64 x (/.f64 z y))) (neg.f64 z)))) (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 z (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x (/.f64 z y) z) (fma.f64 x (/.f64 z y) z) #s(literal 0 binary64)) (neg.f64 (*.f64 (fma.f64 x (/.f64 z y) z) (*.f64 (fma.f64 x (/.f64 z y) z) (fma.f64 x (/.f64 z y) z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 z (neg.f64 y)) z) (-.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 z y) z) (neg.f64 (*.f64 (fma.f64 x (/.f64 z y) z) (fma.f64 x (/.f64 z y) z))))) |
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x (/.f64 z y))) (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 z y) z))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (*.f64 z z)) (neg.f64 (-.f64 (*.f64 x (/.f64 z y)) z))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (*.f64 z z)) (fma.f64 x (/.f64 z (neg.f64 y)) z)) |
(/.f64 (neg.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))))) (fma.f64 z (-.f64 z (*.f64 x (/.f64 z y))) (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z (*.f64 x (/.f64 z y))) (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (*.f64 z z))) (-.f64 (*.f64 x (/.f64 z y)) z)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (*.f64 z z))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (/.f64 z y)) z)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (*.f64 z z))) (neg.f64 (fma.f64 x (/.f64 z (neg.f64 y)) z))) |
(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 z (*.f64 z z)))) (+.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (-.f64 (*.f64 z z) (*.f64 (neg.f64 (*.f64 x (/.f64 z y))) (neg.f64 z))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (/.f64 z y) z) (*.f64 (fma.f64 x (/.f64 z y) z) (fma.f64 x (/.f64 z y) z)))) (fma.f64 (fma.f64 x (/.f64 z y) z) (fma.f64 x (/.f64 z y) z) #s(literal 0 binary64))) |
(/.f64 (-.f64 (*.f64 z z) (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y))) (-.f64 (neg.f64 z) (neg.f64 (*.f64 x (/.f64 z y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (/.f64 z y) z) (fma.f64 x (/.f64 z y) z))) (fma.f64 x (/.f64 z y) z)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))))) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x (/.f64 z y))) (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (*.f64 z z)))) (neg.f64 (-.f64 (*.f64 x (/.f64 z y)) z))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 z (*.f64 z z))))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (-.f64 (*.f64 z z) (*.f64 (neg.f64 (*.f64 x (/.f64 z y))) (neg.f64 z)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x (/.f64 z y) z) (*.f64 (fma.f64 x (/.f64 z y) z) (fma.f64 x (/.f64 z y) z))))) (neg.f64 (fma.f64 (fma.f64 x (/.f64 z y) z) (fma.f64 x (/.f64 z y) z) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x (/.f64 z y) z) (fma.f64 x (/.f64 z y) z)))) (neg.f64 (fma.f64 x (/.f64 z y) z))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (fma.f64 x (/.f64 z y) z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 (fma.f64 x (/.f64 z y) z)) (neg.f64 (fma.f64 x (/.f64 z y) z))) (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (/.f64 z y) z)))))) |
(/.f64 (fma.f64 (neg.f64 z) (*.f64 z z) (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))))) (fma.f64 z z (-.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (*.f64 (neg.f64 z) (neg.f64 (*.f64 x (/.f64 z y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 z #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64)) (*.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64))) (*.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 z #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64)) (*.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64)) (*.f64 z #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (neg.f64 (*.f64 z (*.f64 z z))) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))) (fma.f64 z z (+.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (*.f64 (neg.f64 z) (*.f64 x (/.f64 z y)))))) |
(/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))) (*.f64 z (*.f64 z z))) (fma.f64 z (-.f64 z (*.f64 x (/.f64 z y))) (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (fma.f64 x (/.f64 z y) z)) (neg.f64 (fma.f64 x (/.f64 z y) z)))) (-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (/.f64 z y) z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64)) (*.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64)))) (-.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64)) (*.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64))) (*.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 z #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 x (/.f64 z y)) #s(literal -1 binary64)) (*.f64 z #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x (/.f64 z y) z) #s(literal -1 binary64)) |
(*.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z (*.f64 x (/.f64 z y))) (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)))))) |
(*.f64 #s(literal -1 binary64) (fma.f64 x (/.f64 z y) z)) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x (/.f64 z y)) z)))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 z (neg.f64 y)) z))) |
(*.f64 (neg.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x (/.f64 z y))) (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y))))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 z y)) z))) |
(*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (-.f64 (*.f64 z z) (*.f64 (neg.f64 (*.f64 x (/.f64 z y))) (neg.f64 z)))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 x (/.f64 z y) z) (*.f64 (fma.f64 x (/.f64 z y) z) (fma.f64 x (/.f64 z y) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (/.f64 z y) z) (fma.f64 x (/.f64 z y) z) #s(literal 0 binary64)))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 x (/.f64 z y) z) (fma.f64 x (/.f64 z y) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 z y) z))) |
(+.f64 z (*.f64 x (/.f64 z y))) |
(+.f64 (*.f64 x (/.f64 z y)) z) |
(+.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 z y) z)) |
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (-.f64 (*.f64 x (/.f64 z y)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (/.f64 z y)) z)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (-.f64 (*.f64 x (/.f64 z y)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 x (/.f64 z y)) z))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 x (/.f64 z y)))) (/.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (-.f64 z (*.f64 x (/.f64 z y))))) |
(fma.f64 x (/.f64 z y) z) |
(fma.f64 #s(literal 1 binary64) z (*.f64 x (/.f64 z y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y)) z) |
(fma.f64 z #s(literal 1 binary64) (*.f64 x (/.f64 z y))) |
(fma.f64 z (/.f64 x y) z) |
(fma.f64 (/.f64 z y) x z) |
(fma.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) z) |
(fma.f64 (/.f64 z y) (/.f64 x #s(literal 1 binary64)) z) |
(fma.f64 (/.f64 x y) z z) |
(fma.f64 (*.f64 x (/.f64 z y)) #s(literal 1 binary64) z) |
(fma.f64 (/.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 z y)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 x (/.f64 z y)) z)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal 1 binary64) x)) z) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) z)) z) |
(fma.f64 #s(literal -1 binary64) (neg.f64 z) (*.f64 x (/.f64 z y))) |
(fma.f64 (*.f64 x z) (/.f64 #s(literal 1 binary64) y) z) |
(fma.f64 (neg.f64 (*.f64 x z)) (/.f64 #s(literal -1 binary64) y) z) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) z)) z) |
(fma.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) z) |
(fma.f64 (*.f64 z (neg.f64 x)) (/.f64 #s(literal -1 binary64) y) z) |
(fma.f64 (*.f64 x (neg.f64 z)) (/.f64 #s(literal -1 binary64) y) z) |
(fma.f64 (*.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y) z) |
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(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 z) y)) (/.f64 x (+.f64 (neg.f64 z) y))) |
(neg.f64 (/.f64 x (+.f64 (neg.f64 z) y))) |
(/.f64 x (-.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 z y) x)))) |
(/.f64 (neg.f64 x) (+.f64 (neg.f64 z) y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 z y) x))) |
(pow.f64 (/.f64 (-.f64 z y) x) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 z y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 z y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (+.f64 (neg.f64 z) y))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 z y) x)))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 z y))) (fma.f64 y (+.f64 y z) (*.f64 z z))) |
(*.f64 (/.f64 x (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (*.f64 z z))))) |
(*.f64 (/.f64 x (*.f64 (+.f64 y z) (-.f64 z y))) (+.f64 y z)) |
(*.f64 (/.f64 x (*.f64 (+.f64 y z) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y z)))) |
(+.f64 z (neg.f64 y)) |
(+.f64 (neg.f64 y) z) |
(+.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 y (+.f64 y z) (*.f64 z z))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y z) (*.f64 z z))))) |
(+.f64 (/.f64 (*.f64 z z) (+.f64 y z)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y z)))) |
(-.f64 z y) |
(-.f64 #s(literal 0 binary64) (+.f64 (neg.f64 z) y)) |
(-.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 y (+.f64 y z) (*.f64 z z))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y z) (*.f64 z z)))) |
(-.f64 (/.f64 (*.f64 z z) (+.f64 y z)) (/.f64 (*.f64 y y) (+.f64 y z))) |
(-.f64 (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 y (+.f64 y z) (*.f64 z z))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y z) (*.f64 z z))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 z z) (+.f64 y z)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (+.f64 y z)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) z (neg.f64 y)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) z) |
(fma.f64 z #s(literal 1 binary64) (neg.f64 y)) |
(fma.f64 (neg.f64 y) #s(literal 1 binary64) z) |
(fma.f64 (*.f64 z (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (*.f64 z z))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y z) (*.f64 z z))))) |
(fma.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (+.f64 y z)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y z)))) |
(fma.f64 #s(literal -1 binary64) y z) |
(fma.f64 #s(literal -1 binary64) (neg.f64 z) (neg.f64 y)) |
(neg.f64 (+.f64 (neg.f64 z) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 z (neg.f64 y)))) (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 z y)))) |
(/.f64 (-.f64 z y) #s(literal 1 binary64)) |
(/.f64 (+.f64 (neg.f64 z) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 z y)) (fma.f64 y (+.f64 y z) (*.f64 z z))) |
(/.f64 (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 z y)) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 z (neg.f64 y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)))) |
(/.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (+.f64 y z)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 z y))) (neg.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 z y))) (neg.f64 (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 z (neg.f64 y)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y z) (-.f64 z y))) (neg.f64 (+.f64 y z))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 y (+.f64 y z) (*.f64 z z))) (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (fma.f64 y (+.f64 y z) (*.f64 z z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 y z)) (*.f64 (+.f64 y z) (*.f64 y y))) (*.f64 (+.f64 y z) (+.f64 y z))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 z y)))) (neg.f64 (neg.f64 (fma.f64 y (+.f64 y z) (*.f64 z z))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y z) (-.f64 z y)))) (neg.f64 (neg.f64 (+.f64 y z)))) |
(/.f64 (fma.f64 (neg.f64 y) (*.f64 y y) (*.f64 z (*.f64 z z))) (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 (neg.f64 y) z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 y (+.f64 y z) (*.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y z) (*.f64 z z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 y (+.f64 y z) (*.f64 z z))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 y (+.f64 y z) (*.f64 z z))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y z) (*.f64 z z))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y z) (*.f64 z z))) (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 y (+.f64 y z) (*.f64 z z))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y z) (*.f64 z z))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z z) (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 y z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 z z) (+.f64 y z)) (/.f64 (*.f64 z z) (+.f64 y z)) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y z)) (/.f64 (*.f64 y y) (+.f64 y z)) (*.f64 (/.f64 (*.f64 z z) (+.f64 y z)) (/.f64 (*.f64 y y) (+.f64 y z)))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (-.f64 (neg.f64 y) z)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 z y)) |
(*.f64 (-.f64 z y) #s(literal 1 binary64)) |
(*.f64 (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (*.f64 z z)))) |
(*.f64 (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 z (neg.f64 y)))))) |
(*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 z) y)) |
(*.f64 (*.f64 (+.f64 y z) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (+.f64 y z))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (+.f64 y z) (*.f64 z z))))) |
(*.f64 (neg.f64 (*.f64 (+.f64 y z) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y z)))) |
Compiled 15 671 to 1 408 computations (91% saved)
14 alts after pruning (8 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 003 | 4 | 1 007 |
| Fresh | 1 | 4 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 005 | 14 | 1 019 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 44.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z (+.f64 y x)) (neg.f64 y))) |
| ✓ | 49.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
| ✓ | 46.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
| ▶ | 46.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) |
| 15.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) | |
| 37.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y)))) | |
| ✓ | 50.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) |
| ▶ | 20.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) |
| 19.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 (/.f64 z y) x)))) | |
| ✓ | 19.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))))) |
| ✓ | 33.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| ✓ | 15.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
| ▶ | 2.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
| ▶ | 34.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (fma.f64 y (/.f64 x z) x))) |
Compiled 237 to 127 computations (46.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 y x) |
| ✓ | cost-diff | 0 | (*.f64 z (+.f64 y x)) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z (+.f64 y x)) (neg.f64 y))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 z (+.f64 y x)) (neg.f64 y)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 z x) y) |
| ✓ | cost-diff | 0 | #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)) |
| ✓ | cost-diff | 0 | (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y))) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) |
| ✓ | cost-diff | 0 | (/.f64 x z) |
| ✓ | cost-diff | 0 | (fma.f64 y (/.f64 x z) x) |
| ✓ | cost-diff | 0 | #s(approx (* (/ x (- z y)) z) (fma.f64 y (/.f64 x z) x)) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (fma.f64 y (/.f64 x z) x))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 y y) z) |
| ✓ | cost-diff | 0 | #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)) |
| ✓ | cost-diff | 0 | #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z))) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 z y) y) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) |
| 3 828× | lower-fma.f32 |
| 3 826× | lower-fma.f64 |
| 2 820× | lower-*.f32 |
| 2 812× | lower-*.f64 |
| 1 480× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 272 |
| 0 | 58 | 272 |
| 1 | 103 | 268 |
| 2 | 163 | 266 |
| 3 | 341 | 266 |
| 4 | 735 | 266 |
| 5 | 1324 | 264 |
| 6 | 1861 | 264 |
| 7 | 2893 | 264 |
| 8 | 4814 | 264 |
| 9 | 6319 | 264 |
| 10 | 6717 | 264 |
| 11 | 6793 | 264 |
| 12 | 6885 | 264 |
| 13 | 6935 | 264 |
| 14 | 7555 | 264 |
| 15 | 7994 | 264 |
| 0 | 8042 | 258 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 z y) y) |
(-.f64 z y) |
z |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
#s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z))) |
#s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (fma.f64 y (/.f64 x z) x))) |
#s(approx (* (/ x (- z y)) z) (fma.f64 y (/.f64 x z) x)) |
(fma.f64 y (/.f64 x z) x) |
y |
(/.f64 x z) |
x |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) |
(neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y))) |
#s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z x) |
z |
x |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z (+.f64 y x)) (neg.f64 y))) |
(/.f64 (*.f64 z (+.f64 y x)) (neg.f64 y)) |
(*.f64 z (+.f64 y x)) |
z |
(+.f64 y x) |
y |
x |
(neg.f64 y) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 y z) (-.f64 z y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z) |
(/.f64 (*.f64 y z) (-.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) |
(/.f64 y (-.f64 z y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 z y) y) |
(+.f64 (/.f64 z y) #s(literal -1 binary64)) |
(-.f64 z y) |
z |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
#s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z))) |
#s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (fma.f64 y (/.f64 x z) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (fma.f64 x (/.f64 y z) x))) |
#s(approx (* (/ x (- z y)) z) (fma.f64 y (/.f64 x z) x)) |
#s(approx (* (/ x (- z y)) z) (fma.f64 x (/.f64 y z) x)) |
(fma.f64 y (/.f64 x z) x) |
(fma.f64 x (/.f64 y z) x) |
y |
(/.f64 x z) |
x |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 x z) y)))) |
(neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y))) |
(neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 x z) y))) |
#s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)) |
#s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 x z) y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 x z) y) |
(*.f64 z x) |
(*.f64 x z) |
z |
x |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z (+.f64 y x)) (neg.f64 y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(/.f64 (*.f64 z (+.f64 y x)) (neg.f64 y)) |
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(*.f64 z (+.f64 y x)) |
(*.f64 z (+.f64 x y)) |
z |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(neg.f64 y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (*.f64 z (+.f64 y x)) |
| ✓ | accuracy | 84.7% | (/.f64 (*.f64 z (+.f64 y x)) (neg.f64 y)) |
| ✓ | accuracy | 53.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z (+.f64 y x)) (neg.f64 y))) |
| ✓ | accuracy | 100.0% | (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y))) |
| ✓ | accuracy | 89.7% | (/.f64 (*.f64 z x) y) |
| ✓ | accuracy | 53.9% | #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)) |
| ✓ | accuracy | 53.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) |
| ✓ | accuracy | 100.0% | (/.f64 x z) |
| ✓ | accuracy | 96.9% | (fma.f64 y (/.f64 x z) x) |
| ✓ | accuracy | 54.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (fma.f64 y (/.f64 x z) x))) |
| ✓ | accuracy | 49.0% | #s(approx (* (/ x (- z y)) z) (fma.f64 y (/.f64 x z) x)) |
| ✓ | accuracy | 90.1% | (/.f64 (*.f64 y y) z) |
| ✓ | accuracy | 53.9% | #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)) |
| ✓ | accuracy | 48.8% | #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z))) |
| ✓ | accuracy | 47.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 z y) y) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) |
| ✓ | accuracy | 90.2% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z) |
| ✓ | accuracy | 47.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) |
| 68.0ms | 256× | 0 | valid |
Compiled 165 to 35 computations (78.8% saved)
ival-div: 22.0ms (45.5% of total)ival-mult: 15.0ms (31% of total)ival-add: 6.0ms (12.4% of total)ival-sub: 3.0ms (6.2% of total)ival-neg: 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 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z) (patch (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 z y) y) (patch (/.f64 (-.f64 z y) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z))) (patch #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)) (patch #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y y) z) (patch (/.f64 (*.f64 y y) z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (fma.f64 y (/.f64 x z) x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (fma.f64 y (/.f64 x z) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ x (- z y)) z) (fma.f64 y (/.f64 x z) x)) (patch #s(approx (* (/ x (- z y)) z) (fma.f64 y (/.f64 x z) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (/.f64 x z) x) (patch (fma.f64 y (/.f64 x z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y))) (patch (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)) (patch #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 z x) y) (patch (/.f64 (*.f64 z x) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 z (+.f64 y x)) (neg.f64 y)) (patch (/.f64 (*.f64 z (+.f64 y x)) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z (+.f64 y x)) (neg.f64 y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z (+.f64 y x)) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -1 (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ z y)) 1) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (/ (pow y 2) z)) z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z))) z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2))))) z) (taylor inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) z) (pow y 2)) z))) z)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) z)) (* -1 (pow y 3))) z)) (pow y 2)) z))) z)) (taylor -inf z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (/ 1 z) (/ y (pow z 2)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* y (+ (* y (+ (/ 1 (pow z 3)) (/ y (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ z y)) 1) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (pow z 2) (pow y 2))) (+ 1 (/ z y))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (pow z 3) (pow y 3))) (+ 1 (+ (/ z y) (/ (pow z 2) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ z y)) 1) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (/ (pow z 2) y) (* -1 z)) y)) 1) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y)) (* -1 z)) y)) 1) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- 1 (/ y z))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 (* -1 (/ x z))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) (taylor inf y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) #<representation binary64>) () ())) ()) |
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#s(alt (* y (+ z (/ (* x z) y))) (taylor inf y) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (/ (* x z) y))) (taylor inf y) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) (taylor -inf y) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 x) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 x) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 x) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x z) (* y z)) (taylor 0 x) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 z (+.f64 y x)) (patch (*.f64 z (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
159 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | -inf | (* z (+ y x)) |
| 2.0ms | x | @ | -inf | (+ (* y (/ x z)) x) |
| 1.0ms | z | @ | 0 | (/ (* z (+ y x)) (neg y)) |
| 0.0ms | y | @ | inf | (/ (* z (+ y x)) (neg y)) |
| 0.0ms | x | @ | -inf | (/ (* z (+ y x)) (neg y)) |
| 1× | egg-herbie |
| 10 570× | lower-fma.f64 |
| 10 570× | lower-fma.f32 |
| 4 768× | lower-*.f64 |
| 4 768× | lower-*.f32 |
| 2 810× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 475 | 6813 |
| 1 | 1547 | 6539 |
| 2 | 4528 | 6245 |
| 0 | 8130 | 5947 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (* -1 (/ z y)) 1) |
(- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1) |
(- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
(/ y z) |
(/ (+ y (/ (pow y 2) z)) z) |
(/ (- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z))) z) |
(/ (- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2))))) z) |
(/ y z) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) z) (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) z)) (* -1 (pow y 3))) z)) (pow y 2)) z))) z)) |
(/ y z) |
(* y (+ (/ 1 z) (/ y (pow z 2)))) |
(* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z))) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow z 3)) (/ y (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z))) |
-1 |
(- (* -1 (/ z y)) 1) |
(- (* -1 (/ (pow z 2) (pow y 2))) (+ 1 (/ z y))) |
(- (* -1 (/ (pow z 3) (pow y 3))) (+ 1 (+ (/ z y) (/ (pow z 2) (pow y 2))))) |
-1 |
(- (* -1 (/ z y)) 1) |
(- (* -1 (/ (- (/ (pow z 2) y) (* -1 z)) y)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y)) (* -1 z)) y)) 1) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(* -1 z) |
(* z (- (* -1 (/ z y)) 1)) |
(* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1)) |
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)) |
y |
(+ y (/ (pow y 2) z)) |
(- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z))) |
(- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2))))) |
y |
(+ y (/ (pow y 2) z)) |
(+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) |
(+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) |
y |
(* y (+ 1 (/ y z))) |
(* y (+ 1 (* y (+ (/ 1 z) (/ y (pow z 2)))))) |
(* y (+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z))))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (pow z 2) y))) |
(- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2)))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (pow z 2) y))) |
(+ (* -1 z) (* -1 (/ (+ (/ (pow z 3) y) (pow z 2)) y))) |
(+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (* -1 (pow z 3))) y)) (pow z 2)) y))) |
-1 |
(- (/ z y) 1) |
(- (/ z y) 1) |
(- (/ z y) 1) |
(/ z y) |
(* z (- (/ 1 y) (/ 1 z))) |
(* z (- (/ 1 y) (/ 1 z))) |
(* z (- (/ 1 y) (/ 1 z))) |
(/ z y) |
(* -1 (* z (- (/ 1 z) (/ 1 y)))) |
(* -1 (* z (- (/ 1 z) (/ 1 y)))) |
(* -1 (* z (- (/ 1 z) (/ 1 y)))) |
(/ z y) |
(/ (+ z (* -1 y)) y) |
(/ (+ z (* -1 y)) y) |
(/ (+ z (* -1 y)) y) |
-1 |
(- (/ z y) 1) |
(- (/ z y) 1) |
(- (/ z y) 1) |
-1 |
(- (/ z y) 1) |
(- (/ z y) 1) |
(- (/ z y) 1) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
y |
(* y (+ 1 (/ y z))) |
(* y (+ 1 (* y (+ (/ 1 z) (/ y (pow z 2)))))) |
(* y (+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z))))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (pow z 2) y))) |
(- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2)))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (pow z 2) y))) |
(+ (* -1 z) (* -1 (/ (+ (/ (pow z 3) y) (pow z 2)) y))) |
(+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (* -1 (pow z 3))) y)) (pow z 2)) y))) |
(* -1 z) |
(* z (- (* -1 (/ z y)) 1)) |
(* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1)) |
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)) |
y |
(+ y (/ (pow y 2) z)) |
(- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z))) |
(- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2))))) |
y |
(+ y (/ (pow y 2) z)) |
(+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) |
(+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) |
y |
(* y (+ 1 (/ y z))) |
(* y (+ 1 (/ y z))) |
(* y (+ 1 (/ y z))) |
(/ (pow y 2) z) |
(* (pow y 2) (+ (/ 1 y) (/ 1 z))) |
(* (pow y 2) (+ (/ 1 y) (/ 1 z))) |
(* (pow y 2) (+ (/ 1 y) (/ 1 z))) |
(/ (pow y 2) z) |
(* (pow y 2) (+ (/ 1 y) (/ 1 z))) |
(* (pow y 2) (+ (/ 1 y) (/ 1 z))) |
(* (pow y 2) (+ (/ 1 y) (/ 1 z))) |
(/ (pow y 2) z) |
(/ (+ (* y z) (pow y 2)) z) |
(/ (+ (* y z) (pow y 2)) z) |
(/ (+ (* y z) (pow y 2)) z) |
y |
(+ y (/ (pow y 2) z)) |
(+ y (/ (pow y 2) z)) |
(+ y (/ (pow y 2) z)) |
y |
(+ y (/ (pow y 2) z)) |
(+ y (/ (pow y 2) z)) |
(+ y (/ (pow y 2) z)) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
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(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) |
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) |
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))) |
x |
(+ x (/ (* x y) z)) |
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) |
(- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2))))) |
x |
(+ x (/ (* x y) z)) |
(+ x (* -1 (/ (- (* -1 (/ (* x (pow y 2)) z)) (* x y)) z))) |
(+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) z) (* -1 (* x (pow y 2)))) z)) (* x y)) z))) |
x |
(+ x (/ (* x y) z)) |
(+ x (* y (- (/ (* x y) (pow z 2)) (* -1 (/ x z))))) |
(+ x (* y (- (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (* -1 (/ x z))))) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y) |
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 3)) (pow y 2)))) (/ (* x (pow z 2)) y)) y) |
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 4)) (pow y 3)))) (+ (/ (* x (pow z 2)) y) (/ (* x (pow z 3)) (pow y 2)))) y) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow z 3)) y)) (* x (pow z 2))) y)) (* x z)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 4)) y) (* -1 (* x (pow z 3)))) y)) (* x (pow z 2))) y)) (* x z)) y)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(/ (* x y) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (- 1 (* -1 (/ x y))))) |
(* -1 (* z (- 1 (* -1 (/ x y))))) |
(* -1 (* z (- 1 (* -1 (/ x y))))) |
(* -1 (* z (- 1 (* -1 (/ x y))))) |
(* -1 z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(* -1 (/ (* x z) y)) |
(* x (- (* -1 (/ z x)) (/ z y))) |
(* x (- (* -1 (/ z x)) (/ z y))) |
(* x (- (* -1 (/ z x)) (/ z y))) |
(* -1 (/ (* x z) y)) |
(* -1 (* x (- (/ z x) (* -1 (/ z y))))) |
(* -1 (* x (- (/ z x) (* -1 (/ z y))))) |
(* -1 (* x (- (/ z x) (* -1 (/ z y))))) |
(* -1 (/ (* x z) y)) |
(/ (- (* -1 (* y z)) (* x z)) y) |
(/ (- (* -1 (* y z)) (* x z)) y) |
(/ (- (* -1 (* y z)) (* x z)) y) |
(* -1 z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(* -1 z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(- (* -1 (/ (* x z) y)) z) |
(* z (+ 1 (/ x y))) |
(* z (+ 1 (/ x y))) |
(* z (+ 1 (/ x y))) |
(* z (+ 1 (/ x y))) |
(* z (+ 1 (/ x y))) |
(* z (+ 1 (/ x y))) |
(* z (+ 1 (/ x y))) |
(* z (+ 1 (/ x y))) |
(* -1 (* z (- (* -1 (/ x y)) 1))) |
(* -1 (* z (- (* -1 (/ x y)) 1))) |
(* -1 (* z (- (* -1 (/ x y)) 1))) |
(* -1 (* z (- (* -1 (/ x y)) 1))) |
z |
(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
(/ (* x z) y) |
(* x (+ (/ z x) (/ z y))) |
(* x (+ (/ z x) (/ z y))) |
(* x (+ (/ z x) (/ z y))) |
(/ (* x z) y) |
(* -1 (* x (+ (* -1 (/ z x)) (* -1 (/ z y))))) |
(* -1 (* x (+ (* -1 (/ z x)) (* -1 (/ z y))))) |
(* -1 (* x (+ (* -1 (/ z x)) (* -1 (/ z y))))) |
(/ (* x z) y) |
(/ (+ (* x z) (* y z)) y) |
(/ (+ (* x z) (* y z)) y) |
(/ (+ (* x z) (* y z)) y) |
z |
(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
z |
(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
(+ z (/ (* x z) y)) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(* -1 (/ (* z (+ x y)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y) |
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y) |
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(* -1 (/ (* x z) y)) |
(* x (+ (* -1 (/ z x)) (* -1 (/ z y)))) |
(* x (+ (* -1 (/ z x)) (* -1 (/ z y)))) |
(* x (+ (* -1 (/ z x)) (* -1 (/ z y)))) |
(* -1 (/ (* x z) y)) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* x z) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(* y z) |
(* y (+ z (/ (* x z) y))) |
(* y (+ z (/ (* x z) y))) |
(* y (+ z (/ (* x z) y))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(* y z) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(* x z) |
(* x (+ z (/ (* y z) x))) |
(* x (+ z (/ (* y z) x))) |
(* x (+ z (/ (* y z) x))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ z y)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 z y)) |
(- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z y) z) y)) |
(- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
(fma.f64 z (fma.f64 z (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 z (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) |
(/ y z) |
(/.f64 y z) |
(/ (+ y (/ (pow y 2) z)) z) |
(/.f64 (fma.f64 y (/.f64 y z) y) z) |
(/ (- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z))) z) |
(/.f64 (fma.f64 y (fma.f64 y (/.f64 y (*.f64 z z)) (/.f64 y z)) y) z) |
(/ (- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2))))) z) |
(/.f64 (+.f64 y (/.f64 (fma.f64 y y (/.f64 (fma.f64 y (*.f64 y y) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z)) z)) z)) z) |
(/ y z) |
(/.f64 y z) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z)) |
(/.f64 (fma.f64 y (/.f64 y z) y) z) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) z) (pow y 2)) z))) z)) |
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(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(* -1 (/ (* z (+ x y)) y)) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y)) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y)) |
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y)) |
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* x (+ (* -1 (/ z x)) (* -1 (/ z y)))) |
(*.f64 x (-.f64 (/.f64 z (neg.f64 y)) (/.f64 z x))) |
(* x (+ (* -1 (/ z x)) (* -1 (/ z y)))) |
(*.f64 x (-.f64 (/.f64 z (neg.f64 y)) (/.f64 z x))) |
(* x (+ (* -1 (/ z x)) (* -1 (/ z y)))) |
(*.f64 x (-.f64 (/.f64 z (neg.f64 y)) (/.f64 z x))) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(*.f64 x (-.f64 (/.f64 z (neg.f64 y)) (/.f64 z x))) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(*.f64 x (-.f64 (/.f64 z (neg.f64 y)) (/.f64 z x))) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(*.f64 x (-.f64 (/.f64 z (neg.f64 y)) (/.f64 z x))) |
(/ y (- 1 (/ y z))) |
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (-.f64 x (/.f64 (*.f64 y x) z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (-.f64 x (/.f64 (*.f64 y x) z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (-.f64 x (/.f64 (*.f64 y x) z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (-.f64 x (/.f64 (*.f64 y x) z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (-.f64 x (/.f64 (*.f64 y x) z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (-.f64 x (/.f64 (*.f64 y x) z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+.f64 x (fma.f64 y (/.f64 x z) y)) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(fma.f64 y (+.f64 (/.f64 x z) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y z) #s(literal 1 binary64))) x) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(fma.f64 y (fma.f64 y (-.f64 (/.f64 (fma.f64 y (/.f64 x z) y) (*.f64 z z)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x z)) z)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) x) |
(* -1 z) |
(neg.f64 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(-.f64 (fma.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (/.f64 z (*.f64 y y)) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y)) z) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(-.f64 (fma.f64 (*.f64 z z) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (/.f64 z (*.f64 y y)) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y))) z) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(-.f64 (/.f64 (fma.f64 z (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) (*.f64 z (-.f64 (neg.f64 x) z))) y) z) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(-.f64 (/.f64 (fma.f64 z (-.f64 (neg.f64 x) z) (/.f64 (fma.f64 (*.f64 z z) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) (*.f64 z (*.f64 z (-.f64 (neg.f64 x) z)))) y)) y) z) |
(* -1 (/ (* z (+ x y)) y)) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 z (-.f64 (neg.f64 (fma.f64 (/.f64 z (*.f64 y y)) x (/.f64 z y))) (/.f64 (+.f64 y x) y))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 z (fma.f64 z (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y))) (fma.f64 z (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 z (*.f64 y y)))) (/.f64 (-.f64 (neg.f64 y) x) y))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 z (fma.f64 z (fma.f64 z (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y (*.f64 y y)))) (fma.f64 z (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 z (*.f64 y (*.f64 y y))))) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) (/.f64 (-.f64 (neg.f64 y) x) y))) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 x (fma.f64 (+.f64 y x) (/.f64 y z) y)) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(+.f64 (+.f64 y x) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 (*.f64 y y) (/.f64 (+.f64 y x) z))) z)) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+.f64 x (+.f64 (fma.f64 (+.f64 y x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) y) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 (*.f64 y y) (/.f64 (+.f64 y x) z))) z))) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 x (fma.f64 (+.f64 y x) (/.f64 y z) y)) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+.f64 (+.f64 y x) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 (*.f64 y y) (/.f64 (+.f64 y x) z))) z)) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(+.f64 y (+.f64 x (/.f64 (fma.f64 y (+.f64 y x) (/.f64 (fma.f64 y (*.f64 (*.f64 y y) (/.f64 (+.f64 y x) z)) (*.f64 y (*.f64 y (+.f64 y x)))) z)) z))) |
(* z (+ x y)) |
(*.f64 z (+.f64 y x)) |
(* z (+ x y)) |
(*.f64 z (+.f64 y x)) |
(* z (+ x y)) |
(*.f64 z (+.f64 y x)) |
(* z (+ x y)) |
(*.f64 z (+.f64 y x)) |
(* z (+ x y)) |
(*.f64 z (+.f64 y x)) |
(* z (+ x y)) |
(*.f64 z (+.f64 y x)) |
(* z (+ x y)) |
(*.f64 z (+.f64 y x)) |
(* z (+ x y)) |
(*.f64 z (+.f64 y x)) |
(* z (+ x y)) |
(*.f64 z (+.f64 y x)) |
(* z (+ x y)) |
(*.f64 z (+.f64 y x)) |
(* z (+ x y)) |
(*.f64 z (+.f64 y x)) |
(* z (+ x y)) |
(*.f64 z (+.f64 y x)) |
(* x z) |
(*.f64 z x) |
(+ (* x z) (* y z)) |
(*.f64 z (+.f64 y x)) |
(+ (* x z) (* y z)) |
(*.f64 z (+.f64 y x)) |
(+ (* x z) (* y z)) |
(*.f64 z (+.f64 y x)) |
(* y z) |
(*.f64 z y) |
(* y (+ z (/ (* x z) y))) |
(*.f64 y (fma.f64 z (/.f64 x y) z)) |
(* y (+ z (/ (* x z) y))) |
(*.f64 y (fma.f64 z (/.f64 x y) z)) |
(* y (+ z (/ (* x z) y))) |
(*.f64 y (fma.f64 z (/.f64 x y) z)) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(*.f64 y (fma.f64 z (/.f64 x y) z)) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(*.f64 y (fma.f64 z (/.f64 x y) z)) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(*.f64 y (fma.f64 z (/.f64 x y) z)) |
(* y z) |
(*.f64 z y) |
(+ (* x z) (* y z)) |
(*.f64 z (+.f64 y x)) |
(+ (* x z) (* y z)) |
(*.f64 z (+.f64 y x)) |
(+ (* x z) (* y z)) |
(*.f64 z (+.f64 y x)) |
(* x z) |
(*.f64 z x) |
(* x (+ z (/ (* y z) x))) |
(*.f64 x (fma.f64 z (/.f64 y x) z)) |
(* x (+ z (/ (* y z) x))) |
(*.f64 x (fma.f64 z (/.f64 y x) z)) |
(* x (+ z (/ (* y z) x))) |
(*.f64 x (fma.f64 z (/.f64 y x) z)) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 x (fma.f64 z (/.f64 y x) z)) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 x (fma.f64 z (/.f64 y x) z)) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 x (fma.f64 z (/.f64 y x) z)) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
y |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 y (/.f64 x y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 y (/.f64 x y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 y (/.f64 x y) y) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) (neg.f64 x) x) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
| 1× | batch-egg-rewrite |
| 5 084× | lower-/.f32 |
| 5 072× | lower-/.f64 |
| 5 058× | lower-*.f32 |
| 5 050× | lower-*.f64 |
| 3 894× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 249 |
| 0 | 58 | 243 |
| 1 | 234 | 243 |
| 2 | 1717 | 243 |
| 0 | 8540 | 237 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z) |
(/.f64 (-.f64 z y) y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
#s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z))) |
#s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (fma.f64 y (/.f64 x z) x))) |
#s(approx (* (/ x (- z y)) z) (fma.f64 y (/.f64 x z) x)) |
(fma.f64 y (/.f64 x z) x) |
(/.f64 x z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) |
(neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y))) |
#s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 z (+.f64 y x)) (neg.f64 y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z (+.f64 y x)) (neg.f64 y))) |
(*.f64 z (+.f64 y x)) |
(+.f64 y x) |
(neg.f64 y) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 z y) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 z) y)) (/.f64 y (+.f64 (neg.f64 z) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 z y)) (/.f64 y (+.f64 (neg.f64 z) y))) |
(neg.f64 (/.f64 y (+.f64 (neg.f64 z) y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 z y) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 z y) #s(literal -1 binary64))) |
(/.f64 y (-.f64 z y)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 z x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 z x))))) |
(/.f64 z (/.f64 y x)) |
(/.f64 (*.f64 z x) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 z x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (*.f64 z x)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 z (neg.f64 x)) (neg.f64 y)) |
(/.f64 (neg.f64 z) (neg.f64 (/.f64 y x))) |
(/.f64 (*.f64 (*.f64 z x) #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (*.f64 z (neg.f64 x))) y) |
(/.f64 (/.f64 (*.f64 z (neg.f64 x)) #s(literal -1 binary64)) y) |
(/.f64 (neg.f64 (*.f64 (*.f64 z x) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 z (neg.f64 x)))) (neg.f64 y)) |
(/.f64 (neg.f64 (/.f64 (*.f64 z (neg.f64 x)) #s(literal -1 binary64))) (neg.f64 y)) |
(pow.f64 (/.f64 y (*.f64 z x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y (*.f64 z x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y))) |
(*.f64 z (/.f64 x y)) |
(*.f64 x (/.f64 z y)) |
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) z)) |
(*.f64 (/.f64 x y) z) |
(*.f64 (/.f64 x y) (/.f64 z #s(literal 1 binary64))) |
(*.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 z (neg.f64 x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 z y) (/.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z x)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 z x) #s(literal -1 binary64))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 z y)) |
(*.f64 (/.f64 z (neg.f64 y)) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 z (neg.f64 y))) |
(*.f64 (/.f64 (*.f64 z x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (*.f64 z x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 z y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 y) (*.f64 z (+.f64 y x)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 z (+.f64 y x)) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 z (+.f64 y x)) y)) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 z (+.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 y) (*.f64 z (+.f64 y x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (neg.f64 y) (*.f64 z (+.f64 y x)))))) |
(/.f64 (*.f64 z (+.f64 y x)) (neg.f64 y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 y) (*.f64 z (+.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (neg.f64 y) (*.f64 z (+.f64 y x))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 z (+.f64 y x))) y) |
(/.f64 (neg.f64 (neg.f64 (*.f64 z (+.f64 y x)))) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (/.f64 (*.f64 z (+.f64 y x)) #s(literal -1 binary64)) y) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 z (+.f64 y x))))) y) |
(/.f64 (neg.f64 (*.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64))) y) |
(/.f64 (neg.f64 (/.f64 (*.f64 z (+.f64 y x)) #s(literal -1 binary64))) (neg.f64 y)) |
(pow.f64 (/.f64 (neg.f64 y) (*.f64 z (+.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (neg.f64 y) (*.f64 z (+.f64 y x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y))) |
(*.f64 z (neg.f64 (/.f64 (+.f64 y x) y))) |
(*.f64 (+.f64 y x) (*.f64 z (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (+.f64 y x) (/.f64 z (neg.f64 y))) |
(*.f64 (*.f64 z (+.f64 y x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (+.f64 y x)) y)) |
(*.f64 (neg.f64 (*.f64 z (+.f64 y x))) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 z y) (/.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 z (+.f64 y x))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 z (+.f64 y x)) y) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (/.f64 (+.f64 y x) y)) z) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (+.f64 y x) y)) |
(*.f64 (/.f64 (+.f64 y x) y) (/.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 z y)) |
(*.f64 (/.f64 z #s(literal 1 binary64)) (neg.f64 (/.f64 (+.f64 y x) y))) |
(*.f64 (/.f64 (*.f64 z (+.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (pow.f64 (/.f64 y (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 y x)) #s(literal -1 binary64)) (/.f64 z y)) |
(*.f64 (/.f64 (+.f64 y x) #s(literal 1 binary64)) (/.f64 z (neg.f64 y))) |
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)) (/.f64 z (neg.f64 y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (/.f64 (*.f64 z (+.f64 y x)) y))) |
(+.f64 (*.f64 z x) (*.f64 z y)) |
(+.f64 (*.f64 z y) (*.f64 z x)) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 y y)) (-.f64 (*.f64 z y) (*.f64 z x))) (/.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (-.f64 (*.f64 z y) (*.f64 z x)))) |
(fma.f64 z y (*.f64 z x)) |
(fma.f64 z x (*.f64 z y)) |
(fma.f64 y z (*.f64 z x)) |
(fma.f64 x z (*.f64 z y)) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) (*.f64 z x)))) (fma.f64 (*.f64 z z) (*.f64 y y) (-.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 (*.f64 z y) (*.f64 z x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 y y)) (*.f64 (*.f64 z x) (*.f64 z x))) (-.f64 (*.f64 z y) (*.f64 z x))) |
(/.f64 (*.f64 z (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 z (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 z (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (*.f64 z (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) z) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) z) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z) (-.f64 y x)) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) z) (-.f64 x y)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) (*.f64 z x))))) (neg.f64 (fma.f64 (*.f64 z z) (*.f64 y y) (-.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 (*.f64 z y) (*.f64 z x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 y y)) (*.f64 (*.f64 z x) (*.f64 z x)))) (neg.f64 (-.f64 (*.f64 z y) (*.f64 z x)))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 z (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) z)) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) z)) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z)) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) z)) (neg.f64 (-.f64 x y))) |
(/.f64 (fma.f64 (*.f64 z x) (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 z x) (*.f64 z x) (-.f64 (*.f64 (*.f64 z z) (*.f64 y y)) (*.f64 (*.f64 z x) (*.f64 z y))))) |
(*.f64 z (+.f64 y x)) |
(*.f64 (+.f64 y x) z) |
(+.f64 y x) |
(+.f64 x y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(fma.f64 #s(literal 1 binary64) y x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) x) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 y x) (-.f64 y x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(neg.f64 y) |
(/.f64 (neg.f64 (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y))))) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) y) |
Compiled 15 743 to 1 594 computations (89.9% saved)
14 alts after pruning (4 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 087 | 2 | 1 089 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 089 | 14 | 1 103 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 44.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z (+.f64 y x)) (neg.f64 y))) |
| ✓ | 49.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
| 37.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) y)) | |
| ✓ | 46.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
| ✓ | 46.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) |
| 15.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) | |
| ✓ | 50.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) |
| ✓ | 20.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) |
| 19.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 (/.f64 z y) x)))) | |
| ✓ | 19.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))))) |
| ✓ | 33.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| ✓ | 15.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
| 2.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (*.f64 (/.f64 y z) y)))) | |
| ✓ | 34.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (fma.f64 y (/.f64 x z) x))) |
Compiled 337 to 135 computations (59.9% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (*.f64 (/.f64 y z) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (fma.f64 y (/.f64 x z) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (neg (+ (* z (/ x y)) z)) (/.f64 (*.f64 z (neg.f64 x)) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 (/.f64 z y) x)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z (+.f64 y x)) (neg.f64 y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) y)) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
4 calls:
| 15.0ms | z |
| 7.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 7.0ms | y |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.4% | 1 | x |
| 96.1% | 3 | y |
| 93.9% | 3 | z |
| 99.9% | 3 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (*.f64 (/.f64 y z) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (fma.f64 y (/.f64 x z) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (neg (+ (* z (/ x y)) z)) (/.f64 (*.f64 z (neg.f64 x)) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 (/.f64 z y) x)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z (+.f64 y x)) (neg.f64 y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
4 calls:
| 13.0ms | x |
| 7.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 6.0ms | z |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.4% | 3 | x |
| 76.3% | 3 | z |
| 81.3% | 5 | y |
| 65.4% | 3 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (*.f64 (/.f64 y z) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (fma.f64 y (/.f64 x z) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (neg (+ (* z (/ x y)) z)) (/.f64 (*.f64 z (neg.f64 x)) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 (/.f64 z y) x)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.9% | 3 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (*.f64 (/.f64 y z) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (fma.f64 y (/.f64 x z) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (neg (+ (* z (/ x y)) z)) (/.f64 (*.f64 z (neg.f64 x)) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 (/.f64 z y) x)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
2 calls:
| 5.0ms | y |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.8% | 3 | z |
| 75.8% | 3 | y |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (*.f64 (/.f64 y z) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ x (- z y)) z) (fma.f64 y (/.f64 x z) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (neg (+ (* z (/ x y)) z)) (/.f64 (*.f64 z (neg.f64 x)) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 z (/.f64 x y))))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (*.f64 (/.f64 z y) x)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
3 calls:
| 5.0ms | x |
| 4.0ms | z |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.6% | 5 | x |
| 68.5% | 3 | y |
| 62.9% | 4 | z |
Compiled 12 to 9 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
4 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.8% | 1 | x |
| 33.8% | 1 | z |
| 33.8% | 1 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 33.8% | 1 | y |
Compiled 24 to 17 computations (29.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 1.4707932148041404e-292 |
| 0.0ms | -1.8828083850421981e-264 | -3.9637606299225775e-277 |
Compiled 15 to 14 computations (6.7% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 1.6907573079091035e+108 | 8.899149014377107e+108 |
| 0.0ms | 2.2283780852134537e+34 | 2.281651289627117e+34 |
| 10.0ms | 4.9556051532028575e-160 | 1.6535016042554037e-155 |
| 9.0ms | -8.008463686109338e-10 | -9.032272705224542e-11 |
| 16.0ms | 320× | 0 | valid |
Compiled 439 to 266 computations (39.4% saved)
ival-div: 5.0ms (59% of total)ival-add: 2.0ms (23.6% of total)ival-sub: 1.0ms (11.8% 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 |
|---|---|---|
| 7.0ms | 2.9572158787235364e+74 | 8.583441698299364e+74 |
| 0.0ms | -8.008463686109338e-10 | -9.032272705224542e-11 |
| 4.0ms | 80× | 0 | valid |
Compiled 235 to 146 computations (37.9% saved)
ival-div: 1.0ms (49.9% 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 |
|---|---|---|
| 13.0ms | 4.755205627924821e+88 | 3.860099317043592e+104 |
| 30.0ms | -7.546739681932849e-58 | -1.5516913191862152e-58 |
| 34.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 335 to 206 computations (38.5% saved)
ival-add: 24.0ms (83.6% of total)ival-div: 3.0ms (10.4% of total)ival-sub: 1.0ms (3.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 8.583441698299364e+74 | 5.7786332133533824e+78 |
| 31.0ms | -8.71514327995811e+33 | -2.3831603958379758e+24 |
| 32.0ms | 272× | 0 | valid |
Compiled 270 to 184 computations (31.9% saved)
ival-div: 4.0ms (58.4% of total)ival-add: 2.0ms (29.2% of total)ival-sub: 1.0ms (14.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 32× | +-commutative_binary64 |
| 26× | *-commutative_binary64 |
| 26× | sub-neg_binary64 |
| 20× | neg-sub0_binary64 |
| 20× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 322 |
| 1 | 90 | 322 |
| 2 | 112 | 322 |
| 3 | 133 | 322 |
| 4 | 145 | 322 |
| 5 | 153 | 322 |
| 6 | 156 | 322 |
| 7 | 157 | 322 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -283625966735417/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(if (<=.f64 y #s(literal -4835703278458517/38685626227668133590597632 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) (if (<=.f64 y #s(literal 531373909414873/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 y #s(literal 22500000000000000216594577967022080 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) (if (<=.f64 y #s(literal 2799999999999999782308450831430846015009871475515628996092060734458242663113789312386708882217535578809827328 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))))))) |
(if (<=.f64 y #s(literal -4835703278458517/38685626227668133590597632 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) (if (<=.f64 y #s(literal 299999999999999998048659906181738121327167118824372897706331348219019132928 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))))) |
(if (<=.f64 z #s(literal -1696173182187249/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 47999999999999998052002773904817411111615812303125669104147472470721788301645812424769536 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)))) |
(if (<=.f64 y #s(literal -579999999999999996711665664 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 410000000000000009653026877767300878302171103675556246202209128234071218978816 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -283625966735417/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -283625966735417/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) z)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(if (<=.f64 y #s(literal -4835703278458517/38685626227668133590597632 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) (if (<=.f64 y #s(literal 531373909414873/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 y #s(literal 22500000000000000216594577967022080 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) (if (<=.f64 y #s(literal 2799999999999999782308450831430846015009871475515628996092060734458242663113789312386708882217535578809827328 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))))))) |
(if (<=.f64 y #s(literal -4835703278458517/38685626227668133590597632 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) (if (<=.f64 y #s(literal 531373909414873/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) (if (<=.f64 y #s(literal 22500000000000000216594577967022080 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 z (/.f64 x (-.f64 z y)))) (if (<=.f64 y #s(literal 2799999999999999782308450831430846015009871475515628996092060734458242663113789312386708882217535578809827328 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 z (/.f64 y (-.f64 z y)))) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))))))) |
(if (<=.f64 y #s(literal -4835703278458517/38685626227668133590597632 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) (if (<=.f64 y #s(literal 299999999999999998048659906181738121327167118824372897706331348219019132928 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))))) |
(if (<=.f64 y #s(literal -4835703278458517/38685626227668133590597632 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) (if (<=.f64 y #s(literal 299999999999999998048659906181738121327167118824372897706331348219019132928 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))))) |
(if (<=.f64 z #s(literal -1696173182187249/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 47999999999999998052002773904817411111615812303125669104147472470721788301645812424769536 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)))) |
(if (<=.f64 z #s(literal -1696173182187249/7067388259113537318333190002971674063309935587502475832486424805170479104 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) (if (<=.f64 z #s(literal 47999999999999998052002773904817411111615812303125669104147472470721788301645812424769536 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 x (/.f64 z y) z))) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)))) |
(if (<=.f64 y #s(literal -579999999999999996711665664 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 410000000000000009653026877767300878302171103675556246202209128234071218978816 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)))) |
(if (<=.f64 y #s(literal -579999999999999996711665664 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 410000000000000009653026877767300878302171103675556246202209128234071218978816 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| 17 244× | lower-fma.f64 |
| 17 244× | lower-fma.f32 |
| 5 246× | lower-/.f32 |
| 5 230× | lower-/.f64 |
| 4 624× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 958 |
| 1 | 589 | 915 |
| 2 | 1842 | 852 |
| 3 | 7158 | 833 |
| 0 | 8263 | 790 |
| 0 | 27 | 133 |
| 0 | 43 | 125 |
| 1 | 169 | 125 |
| 2 | 1160 | 125 |
| 0 | 8193 | 125 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 268 to 118 computations (56% saved)
Compiled 458 to 170 computations (62.9% saved)
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