
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)
| 426.0ms | 8 256× | 0 | valid |
ival-div: 134.0ms (54% of total)ival-add: 59.0ms (23.8% of total)ival-sub: 40.0ms (16.1% of total)ival-true: 6.0ms (2.4% of total)exact: 5.0ms (2% of total)ival-assert: 3.0ms (1.2% 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 |
| 31.0ms | 512× | 0 | valid |
Compiled 76 to 36 computations (52.6% saved)
ival-div: 8.0ms (54.9% of total)ival-add: 3.0ms (20.6% of total)ival-sub: 2.0ms (13.7% 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))) |
| 13.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-div: 3.0ms (48.1% of total)ival-sub: 1.0ms (16% of total)ival-add: 1.0ms (16% 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× | 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)))) |
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(*.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))) |
| 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) |
Compiled 10 387 to 997 computations (90.4% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 425 | 12 | 437 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 425 | 13 | 438 |
| Status | Accuracy | Program |
|---|---|---|
| 49.1% | (fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x) | |
| 36.5% | (/.f64 (+.f64 x y) (/.f64 y (neg.f64 z))) | |
| ✓ | 87.4% | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| ▶ | 87.3% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) |
| 45.3% | (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z (+.f64 x (/.f64 (*.f64 z (+.f64 z x)) y)))) y)) | |
| 45.1% | (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y)) | |
| ▶ | 52.2% | (+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) |
| 52.6% | (+.f64 y x) | |
| ▶ | 50.7% | (*.f64 (/.f64 y (-.f64 z y)) z) |
| 43.6% | (*.f64 (/.f64 x (-.f64 z y)) z) | |
| 71.9% | (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)))) | |
| ▶ | 47.1% | (neg.f64 (fma.f64 z (/.f64 x y) z)) |
| ▶ | 33.7% | (neg.f64 z) |
Compiled 300 to 182 computations (39.3% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 y x) |
| ✓ | cost-diff | 0 | (/.f64 y z) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 y z) (+.f64 y x) x) |
| ✓ | cost-diff | 64 | (+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) |
| ✓ | 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 | (/.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 | (neg.f64 z) |
| ✓ | 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))) |
| 3 856× | lower-fma.f32 |
| 3 852× | lower-fma.f64 |
| 1 496× | lower-*.f32 |
| 1 494× | lower-*.f64 |
| 1 042× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 101 |
| 0 | 36 | 101 |
| 1 | 77 | 101 |
| 2 | 170 | 98 |
| 3 | 315 | 98 |
| 4 | 579 | 98 |
| 5 | 1166 | 98 |
| 6 | 2313 | 98 |
| 7 | 3543 | 98 |
| 8 | 4692 | 98 |
| 9 | 4959 | 98 |
| 10 | 5019 | 98 |
| 11 | 5026 | 98 |
| 12 | 5028 | 98 |
| 13 | 5240 | 98 |
| 14 | 5370 | 98 |
| 15 | 5524 | 98 |
| 16 | 5684 | 98 |
| 17 | 5684 | 98 |
| 18 | 5684 | 98 |
| 19 | 5684 | 98 |
| 20 | 5684 | 98 |
| 0 | 5684 | 98 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.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 |
(neg.f64 z) |
z |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(fma.f64 z (/.f64 x y) z) |
z |
(/.f64 x y) |
x |
y |
(*.f64 (/.f64 y (-.f64 z y)) z) |
(/.f64 y (-.f64 z y)) |
y |
(-.f64 z y) |
z |
(+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) |
y |
(fma.f64 (/.f64 y z) (+.f64 y x) x) |
(/.f64 y z) |
z |
(+.f64 y x) |
x |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) |
(/.f64 (+.f64 y x) (-.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 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
(+.f64 x y) |
(+.f64 y x) |
x |
(neg.f64 z) |
z |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(fma.f64 z (/.f64 x y) z) |
z |
(/.f64 x y) |
x |
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 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) |
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) |
y |
(fma.f64 (/.f64 y z) (+.f64 y x) x) |
(fma.f64 y (/.f64 (+.f64 y x) z) x) |
(/.f64 y z) |
z |
(+.f64 y x) |
x |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 y z) |
| ✓ | accuracy | 100.0% | (+.f64 y x) |
| ✓ | accuracy | 100.0% | (+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) |
| ✓ | accuracy | 99.9% | (fma.f64 (/.f64 y z) (+.f64 y x) x) |
| ✓ | accuracy | 100.0% | (-.f64 z y) |
| ✓ | accuracy | 100.0% | (/.f64 y (-.f64 z y)) |
| ✓ | accuracy | 89.9% | (*.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 | 96.2% | (fma.f64 z (/.f64 x y) z) |
| ✓ | accuracy | 100.0% | (neg.f64 z) |
| ✓ | 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 | 87.4% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)) |
| 38.0ms | 256× | 0 | valid |
Compiled 107 to 23 computations (78.5% saved)
ival-div: 9.0ms (36.3% of total)ival-add: 6.0ms (24.2% of total)ival-mult: 5.0ms (20.2% of total)ival-sub: 3.0ms (12.1% of total)ival-neg: 2.0ms (8.1% 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 #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>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 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 (*.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 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) (patch (+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#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 (+ x (* y (- 1 (* -1 (/ x z))))) (taylor 0 y) (#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 (+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) (taylor 0 y) (#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 (+ 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 #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 (* -1 z) (taylor inf y) (#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 (- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) (taylor inf y) (#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 (- (+ (* -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 #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 (- (+ (* -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 #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 (* -1 z) (taylor -inf y) (#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 (+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) (taylor -inf y) (#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 (+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) (taylor -inf y) (#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 (+ (* -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 #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 (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#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 (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#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 (* 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 #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 (* 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 #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 (+ x y) (taylor inf z) (#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 (+ x (+ y (/ (* y (+ x y)) z))) (taylor inf z) (#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 (- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) (taylor inf z) (#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 (- (+ 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 #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 (+ x y) (taylor -inf z) (#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 (+ x (+ y (/ (* y (+ x y)) z))) (taylor -inf z) (#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 (+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) (taylor -inf z) (#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 (+ 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 #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 (/ y (- 1 (/ y z))) (taylor 0 x) (#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 (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#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 (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#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 (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#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 (/ x (- 1 (/ y z))) (taylor inf x) (#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>) () ())) ()) |
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#s(alt (* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) (taylor -inf x) (#s(alt (+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) (patch (+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) (taylor -inf x) (#s(alt (+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) (patch (+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ (/ x z) (/ y z)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ (/ x z) (/ y z)))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) z) (taylor inf y) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (* y z)))) (taylor inf y) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (/ 1 z) (+ (/ x (* y z)) (/ x (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (/ 1 z) (+ (/ x (* y z)) (/ x (pow y 2))))) (taylor inf y) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) z) (taylor -inf y) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (/ 1 z) (/ x (* y z)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ x z))) y)) (/ 1 z))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ x z))) y)) (/ 1 z))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ x y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x z) (* y (+ x y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x z) (* y (+ x y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x z) (* y (+ x y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* y (+ x y)) z)) (taylor inf z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* y (+ x y)) z)) (taylor inf z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* y (+ x y)) z)) (taylor inf z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* y (+ x y)) z)) (taylor -inf z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* y (+ x y)) z)) (taylor -inf z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* y (+ x y)) z)) (taylor -inf z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) z) (taylor 0 x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ 1 (/ y z))) (/ (pow y 2) z)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ 1 (/ y z))) (/ (pow y 2) z)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ 1 (/ y z))) (/ (pow y 2) z)) (taylor 0 x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y z))) (taylor inf x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ y z) (/ (pow y 2) (* x z))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ y z) (/ (pow y 2) (* x z))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ y z) (/ (pow y 2) (* x z))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (* x z)))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (* x z)))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (* x z)))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) x) (patch (fma.f64 (/.f64 y z) (+.f64 y x) 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 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>) () ())) ()) |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | 0 | (+ y (+ (* (/ y z) (+ y x)) x)) |
| 2.0ms | y | @ | inf | (/ y (- z y)) |
| 2.0ms | x | @ | inf | (/ (- 1 (/ y z)) (+ x y)) |
| 1.0ms | z | @ | 0 | (/ (- 1 (/ y z)) (+ x y)) |
| 1.0ms | z | @ | 0 | (neg (+ (* z (/ x y)) z)) |
| 1× | batch-egg-rewrite |
| 4 636× | lower-/.f32 |
| 4 626× | lower-/.f64 |
| 4 404× | lower-*.f32 |
| 4 402× | lower-*.f64 |
| 3 462× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 85 |
| 0 | 36 | 85 |
| 1 | 180 | 83 |
| 2 | 1636 | 83 |
| 0 | 8348 | 83 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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) |
(neg.f64 z) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(fma.f64 z (/.f64 x y) z) |
(/.f64 x y) |
(*.f64 (/.f64 y (-.f64 z y)) z) |
(/.f64 y (-.f64 z y)) |
(-.f64 z y) |
(+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) |
(fma.f64 (/.f64 y z) (+.f64 y x) x) |
(+.f64 y x) |
(+.f64 x y) |
| Outputs |
|---|
(+.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 y y) (-.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(-.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 y y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 y x))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 y x)))) |
(-.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) |
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
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(/.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (+.f64 y x) (*.f64 (+.f64 y x) (+.f64 y x))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (/.f64 (*.f64 y (+.f64 y x)) z)) (/.f64 (*.f64 (*.f64 y (+.f64 y x)) (*.f64 y (+.f64 y x))) (*.f64 z z)))) |
(/.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (+.f64 y x) (*.f64 (+.f64 y x) (+.f64 y x))) (*.f64 x (*.f64 x x))) (fma.f64 x x (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (+.f64 y x)) z) (*.f64 y (+.f64 y x))) (*.f64 (*.f64 y (+.f64 y x)) x)) z))) |
(/.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (*.f64 (+.f64 y x) (+.f64 y x)) (neg.f64 (*.f64 x x))) (fma.f64 y (/.f64 (+.f64 y x) z) (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (+.f64 y x) (*.f64 (+.f64 y x) (+.f64 y x))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 y (+.f64 y x)) z)) (/.f64 (*.f64 (*.f64 y (+.f64 y x)) (*.f64 y (+.f64 y x))) (*.f64 z z))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (+.f64 y x) (*.f64 (+.f64 y x) (+.f64 y x))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (+.f64 y x)) z) (*.f64 y (+.f64 y x))) (*.f64 (*.f64 y (+.f64 y x)) x)) z)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (*.f64 (+.f64 y x) (+.f64 y x)) (neg.f64 (*.f64 x x)))) (neg.f64 (fma.f64 y (/.f64 (+.f64 y x) z) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y (+.f64 y x)) (*.f64 y (+.f64 y x))) (*.f64 z z))) (-.f64 x (/.f64 (*.f64 y (+.f64 y x)) z))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y (+.f64 y x)) (*.f64 y (+.f64 y x))) (*.f64 z z)) (fma.f64 y (/.f64 (+.f64 y x) z) (neg.f64 x))) (*.f64 (fma.f64 y (/.f64 (+.f64 y x) z) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 y (/.f64 (+.f64 y x) z) (neg.f64 x)) (fma.f64 y (/.f64 (+.f64 y x) z) (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (+.f64 y x) (*.f64 (+.f64 y x) (+.f64 y x))) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 y (+.f64 y x)) z)) (/.f64 (*.f64 (*.f64 y (+.f64 y x)) (*.f64 y (+.f64 y x))) (*.f64 z z)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (*.f64 (+.f64 y x) (+.f64 y x)) (neg.f64 (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 y (/.f64 (+.f64 y x) z) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y (+.f64 y x)) (*.f64 y (+.f64 y x))) (*.f64 z z)))) (neg.f64 (-.f64 x (/.f64 (*.f64 y (+.f64 y x)) z)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (pow.f64 (fma.f64 (/.f64 y z) x x) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) z) (/.f64 (*.f64 y y) z) (-.f64 (*.f64 (fma.f64 (/.f64 y z) x x) (fma.f64 (/.f64 y z) x x)) (*.f64 (/.f64 (*.f64 y y) z) (fma.f64 (/.f64 y z) x x))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 (*.f64 y y) z)) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (fma.f64 (+.f64 x (/.f64 (*.f64 y y) z)) (+.f64 x (/.f64 (*.f64 y y) z)) (-.f64 (*.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x)) (*.f64 (+.f64 x (/.f64 (*.f64 y y) z)) (*.f64 (/.f64 y z) x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (+.f64 y x)) (*.f64 y (+.f64 y x))) (*.f64 z z)) (fma.f64 y (/.f64 (+.f64 y x) z) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 y (/.f64 (+.f64 y x) z) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (+.f64 y x)) (*.f64 y (+.f64 y x))) (*.f64 z z)) (fma.f64 y (/.f64 (+.f64 y x) z) (neg.f64 x))) (/.f64 (/.f64 (*.f64 (*.f64 y (+.f64 y x)) (*.f64 y (+.f64 y x))) (*.f64 z z)) (fma.f64 y (/.f64 (+.f64 y x) z) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 y (/.f64 (+.f64 y x) z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y (/.f64 (+.f64 y x) z) (neg.f64 x))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (+.f64 y x)) (*.f64 y (+.f64 y x))) (*.f64 z z)) (fma.f64 y (/.f64 (+.f64 y x) z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y (/.f64 (+.f64 y x) z) (neg.f64 x))))))) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 y (+.f64 y x)) z)) (/.f64 (*.f64 (*.f64 y (+.f64 y x)) (*.f64 y (+.f64 y x))) (*.f64 z z))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (+.f64 y x) (*.f64 (+.f64 y x) (+.f64 y x))) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (/.f64 (+.f64 y x) z) (neg.f64 x)) (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (*.f64 (+.f64 y x) (+.f64 y x)) (neg.f64 (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (+.f64 y x) (*.f64 (+.f64 y x) (+.f64 y x))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (/.f64 (*.f64 y (+.f64 y x)) z)) (/.f64 (*.f64 (*.f64 y (+.f64 y x)) (*.f64 y (+.f64 y x))) (*.f64 z z))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (*.f64 (+.f64 y x) (+.f64 y x)) (neg.f64 (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (+.f64 y x) z) (neg.f64 x)))) |
(+.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))) |
(/.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)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.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 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))) |
(/.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)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.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))) |
| 1× | egg-herbie |
| 9 416× | lower-fma.f64 |
| 9 416× | lower-fma.f32 |
| 4 684× | lower-*.f64 |
| 4 684× | lower-*.f32 |
| 3 032× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 560 | 3996 |
| 1 | 1792 | 3865 |
| 2 | 5419 | 3736 |
| 0 | 8311 | 3556 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (+ 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 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) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
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 (/ x z)))) |
(+ x (* y (+ 1 (+ (/ x z) (/ y z))))) |
(+ x (* y (+ 1 (+ (/ x z) (/ y z))))) |
(/ (pow y 2) z) |
(* (pow y 2) (+ (/ 1 y) (+ (/ 1 z) (/ x (* y z))))) |
(* (pow y 2) (+ (/ 1 y) (+ (/ 1 z) (+ (/ x (* y z)) (/ x (pow y 2)))))) |
(* (pow y 2) (+ (/ 1 y) (+ (/ 1 z) (+ (/ x (* y z)) (/ x (pow y 2)))))) |
(/ (pow y 2) z) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x z)) 1) y)) (/ 1 z))) |
(* (pow y 2) (+ (* -1 (/ (- (+ (* -1 (/ x y)) (* -1 (/ x z))) 1) y)) (/ 1 z))) |
(* (pow y 2) (+ (* -1 (/ (- (+ (* -1 (/ x y)) (* -1 (/ x z))) 1) y)) (/ 1 z))) |
(/ (* y (+ x y)) z) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ y (/ (pow y 2) z)) |
(+ y (+ (* x (+ 1 (/ y z))) (/ (pow y 2) z))) |
(+ y (+ (* x (+ 1 (/ y z))) (/ (pow y 2) z))) |
(+ y (+ (* x (+ 1 (/ y z))) (/ (pow y 2) z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z)))))) |
(* x (+ 1 (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z)))))) |
(* x (+ 1 (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z)))))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
x |
(+ x (/ (* x y) z)) |
(+ x (* y (+ (/ x z) (/ y z)))) |
(+ x (* y (+ (/ x z) (/ y z)))) |
(/ (pow y 2) z) |
(* (pow y 2) (+ (/ 1 z) (/ x (* y z)))) |
(* (pow y 2) (+ (/ 1 z) (+ (/ x (* y z)) (/ x (pow y 2))))) |
(* (pow y 2) (+ (/ 1 z) (+ (/ x (* y z)) (/ x (pow y 2))))) |
(/ (pow y 2) z) |
(* (pow y 2) (+ (/ 1 z) (/ x (* y z)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ x z))) y)) (/ 1 z))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ x z))) y)) (/ 1 z))) |
(/ (* y (+ x y)) z) |
(/ (+ (* x z) (* y (+ x y))) z) |
(/ (+ (* x z) (* y (+ x y))) z) |
(/ (+ (* x z) (* y (+ x y))) z) |
x |
(+ x (/ (* y (+ x y)) z)) |
(+ x (/ (* y (+ x y)) z)) |
(+ x (/ (* y (+ x y)) z)) |
x |
(+ x (/ (* y (+ x y)) z)) |
(+ x (/ (* y (+ x y)) z)) |
(+ x (/ (* y (+ x y)) z)) |
(/ (pow y 2) z) |
(+ (* x (+ 1 (/ y z))) (/ (pow y 2) z)) |
(+ (* x (+ 1 (/ y z))) (/ (pow y 2) z)) |
(+ (* x (+ 1 (/ y z))) (/ (pow y 2) z)) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (+ (/ y z) (/ (pow y 2) (* x z))))) |
(* x (+ 1 (+ (/ y z) (/ (pow y 2) (* x z))))) |
(* x (+ 1 (+ (/ y z) (/ (pow y 2) (* x z))))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (* x z)))) 1))) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (* x z)))) 1))) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (* x z)))) 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))) |
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 |
(+ 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))) |
| Outputs |
|---|
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+.f64 x (fma.f64 x (/.f64 y z) y)) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(fma.f64 y (fma.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) z) (+.f64 #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 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 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 z (/.f64 (*.f64 z (-.f64 (neg.f64 x) 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 z (*.f64 z (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (*.f64 y (*.f64 y y)))) (fma.f64 z (/.f64 (*.f64 z (-.f64 (neg.f64 x) 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 (*.f64 z (-.f64 (neg.f64 x) z)) (/.f64 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) (neg.f64 (/.f64 (fma.f64 z (*.f64 z (-.f64 (neg.f64 x) z)) (*.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (/.f64 (*.f64 z z) y))) (neg.f64 y)))) y) z) |
(* -1 (/ (* z (+ x y)) y)) |
(/.f64 (*.f64 z (+.f64 x y)) (neg.f64 y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (neg.f64 z) (+.f64 (fma.f64 z (/.f64 x (*.f64 y y)) (/.f64 z y)) (/.f64 (+.f64 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))))))) |
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(fma.f64 y (+.f64 (/.f64 x z) (/.f64 y z)) x) |
(+ (* x (+ 1 (/ y z))) (/ (pow y 2) z)) |
(fma.f64 y (+.f64 (/.f64 x z) (/.f64 y z)) x) |
(+ (* x (+ 1 (/ y z))) (/ (pow y 2) z)) |
(fma.f64 y (+.f64 (/.f64 x z) (/.f64 y z)) x) |
(* x (+ 1 (/ y z))) |
(fma.f64 x (/.f64 y z) x) |
(* x (+ 1 (+ (/ y z) (/ (pow y 2) (* x z))))) |
(fma.f64 x (fma.f64 y (/.f64 y (*.f64 x z)) (/.f64 y z)) x) |
(* x (+ 1 (+ (/ y z) (/ (pow y 2) (* x z))))) |
(fma.f64 x (fma.f64 y (/.f64 y (*.f64 x z)) (/.f64 y z)) x) |
(* x (+ 1 (+ (/ y z) (/ (pow y 2) (* x z))))) |
(fma.f64 x (fma.f64 y (/.f64 y (*.f64 x z)) (/.f64 y z)) x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 x (/.f64 y z) x) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (* x z)))) 1))) |
(fma.f64 (neg.f64 (fma.f64 y (/.f64 y (*.f64 x z)) (/.f64 y z))) (neg.f64 x) x) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (* x z)))) 1))) |
(fma.f64 (neg.f64 (fma.f64 y (/.f64 y (*.f64 x z)) (/.f64 y z))) (neg.f64 x) x) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (* x z)))) 1))) |
(fma.f64 (neg.f64 (fma.f64 y (/.f64 y (*.f64 x z)) (/.f64 y z))) (neg.f64 x) x) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x 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 (/ 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 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
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) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
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) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x 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 (/ 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) |
Compiled 23 238 to 2 630 computations (88.7% saved)
21 alts after pruning (16 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 135 | 11 | 1 146 |
| Fresh | 2 | 5 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 138 | 21 | 1 159 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 21.7% | (fma.f64 y (/.f64 y z) y) |
| 32.2% | (fma.f64 x (/.f64 y z) x) | |
| 26.4% | (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) y) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 z x))) (*.f64 (+.f64 #s(literal 0 binary64) z) y)) | |
| 36.5% | (/.f64 (+.f64 x y) (/.f64 y (neg.f64 z))) | |
| ✓ | 87.4% | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 2.5% | (/.f64 (*.f64 y y) z) | |
| 47.3% | (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) | |
| ✓ | 87.3% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) |
| ▶ | 47.2% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)) |
| 45.1% | (-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z) | |
| 45.3% | (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z (+.f64 x (/.f64 (*.f64 z (+.f64 z x)) y)))) y)) | |
| ▶ | 52.6% | (+.f64 y x) |
| ✓ | 50.7% | (*.f64 (/.f64 y (-.f64 z y)) z) |
| 19.7% | (*.f64 (/.f64 y z) z) | |
| ▶ | 43.6% | (*.f64 (/.f64 x (-.f64 z y)) z) |
| ▶ | 71.9% | (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)))) |
| 42.6% | (*.f64 y (/.f64 z (-.f64 z y))) | |
| 18.0% | (*.f64 x (/.f64 z (neg.f64 y))) | |
| ✓ | 47.1% | (neg.f64 (fma.f64 z (/.f64 x y) z)) |
| 17.4% | (neg.f64 (/.f64 (*.f64 x z) y)) | |
| ✓ | 33.7% | (neg.f64 z) |
Compiled 429 to 261 computations (39.2% saved)
| 1× | egg-herbie |
Found 14 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)) x) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)) |
| ✓ | 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 | (/.f64 y z) |
| ✓ | cost-diff | 0 | (fma.f64 y (/.f64 y z) y) |
| ✓ | cost-diff | 0 | (+.f64 y x) |
| ✓ | cost-diff | 0 | (-.f64 x y) |
| ✓ | cost-diff | 0 | (+.f64 x y) |
| ✓ | cost-diff | 320 | (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)))) |
| ✓ | cost-diff | 704 | (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) |
| 12 904× | lower-fma.f32 |
| 12 902× | lower-fma.f64 |
| 3 576× | lower-*.f32 |
| 3 570× | lower-*.f64 |
| 1 748× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 119 |
| 0 | 33 | 119 |
| 1 | 61 | 119 |
| 2 | 137 | 105 |
| 3 | 335 | 103 |
| 4 | 1143 | 103 |
| 5 | 5393 | 103 |
| 0 | 8347 | 103 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)))) |
(+.f64 x y) |
x |
y |
(/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) |
(-.f64 x y) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
#s(literal 1 binary64) |
(/.f64 y z) |
z |
(+.f64 y x) |
y |
x |
(fma.f64 y (/.f64 y z) y) |
y |
(/.f64 y z) |
z |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/.f64 x (-.f64 z y)) |
x |
(-.f64 z y) |
z |
y |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
x |
| Outputs |
|---|
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (*.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 x y) |
x |
y |
(/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(-.f64 x y) |
(*.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 y z)) |
#s(literal 1 binary64) |
(/.f64 y z) |
z |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(fma.f64 y (/.f64 y z) y) |
y |
(/.f64 y z) |
z |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(*.f64 x (/.f64 z (-.f64 z y))) |
(/.f64 x (-.f64 z y)) |
x |
(-.f64 z y) |
z |
y |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
x |
Found 14 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 | 99.1% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)) |
| ✓ | accuracy | 96.5% | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
| ✓ | accuracy | 100.0% | (-.f64 z y) |
| ✓ | accuracy | 100.0% | (/.f64 x (-.f64 z y)) |
| ✓ | accuracy | 81.5% | (*.f64 (/.f64 x (-.f64 z y)) z) |
| ✓ | accuracy | 100.0% | (/.f64 y z) |
| ✓ | accuracy | 99.9% | (fma.f64 y (/.f64 y z) y) |
| ✓ | accuracy | 100.0% | (+.f64 y x) |
| ✓ | accuracy | 100.0% | (+.f64 x y) |
| ✓ | accuracy | 99.9% | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)) |
| ✓ | accuracy | 88.5% | (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)))) |
| ✓ | accuracy | 84.1% | (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) |
| 38.0ms | 256× | 0 | valid |
Compiled 122 to 21 computations (82.8% saved)
ival-div: 8.0ms (32.9% of total)ival-add: 6.0ms (24.7% of total)ival-mult: 6.0ms (24.7% of total)ival-sub: 4.0ms (16.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (patch (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)))) (patch (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<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 (*.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>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) (patch (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) #<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 (-.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>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (- 1 (/ y z))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (patch (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (- 1 (/ y z))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (patch (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (- 1 (/ y z))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (patch (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (- 1 (/ y z))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (patch (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (- 1 (/ y z))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (patch (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (- 1 (/ y z))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (patch (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (- 1 (/ y z))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (patch (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (- 1 (/ y z))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (patch (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (- 1 (/ y z))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (patch (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (- 1 (/ y z))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (patch (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (- 1 (/ y z))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (patch (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (- 1 (/ y z))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (patch (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (patch (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ y z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (patch (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (/ 1 z) (/ y (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (patch (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z)))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (patch (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) #<representation binary64>) () ())) ()) |
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#s(alt (+ x (* y (- (+ (* -1 (/ x z)) (/ y z)) 1))) (taylor 0 y) (#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 (+ x (* y (- (+ (* -1 (/ x z)) (/ y z)) 1))) (taylor 0 y) (#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 (/ (pow y 2) z) (taylor inf y) (#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 (* (pow y 2) (- (+ (* -1 (/ x (* y z))) (/ 1 z)) (/ 1 y))) (taylor inf y) (#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 (* (pow y 2) (- (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x (pow y 2)))) (/ 1 y))) (taylor inf y) (#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 (* (pow y 2) (- (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x (pow y 2)))) (/ 1 y))) (taylor inf y) (#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 (/ (pow y 2) z) (taylor -inf y) (#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 (* (pow y 2) (+ (* -1 (/ (+ 1 (/ x z)) y)) (/ 1 z))) (taylor -inf y) (#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 (* (pow y 2) (+ (* -1 (/ (+ 1 (+ (* -1 (/ x y)) (/ x z))) y)) (/ 1 z))) (taylor -inf y) (#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 (* (pow y 2) (+ (* -1 (/ (+ 1 (+ (* -1 (/ x y)) (/ x z))) y)) (/ 1 z))) (taylor -inf y) (#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 (* -1 (/ (* y (- x y)) z)) (taylor 0 z) (#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 (/ (+ (* -1 (* y (- x y))) (* z (- x y))) z) (taylor 0 z) (#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 (/ (+ (* -1 (* y (- x y))) (* z (- x y))) z) (taylor 0 z) (#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 (/ (+ (* -1 (* y (- x y))) (* z (- x y))) z) (taylor 0 z) (#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 (- x y) (taylor inf z) (#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 (- (+ x (* -1 (/ (* y (- x y)) z))) y) (taylor inf z) (#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 (- (+ x (* -1 (/ (* y (- x y)) z))) y) (taylor inf z) (#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 (- (+ x (* -1 (/ (* y (- x y)) z))) y) (taylor inf z) (#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 (- x y) (taylor -inf z) (#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 (- (+ x (* -1 (/ (* y (- x y)) z))) y) (taylor -inf z) (#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 (- (+ x (* -1 (/ (* y (- x y)) z))) y) (taylor -inf z) (#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 (- (+ x (* -1 (/ (* y (- x y)) z))) y) (taylor -inf z) (#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 (* -1 (* y (- 1 (/ y z)))) (taylor 0 x) (#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 (+ (* -1 (* y (- 1 (/ y z)))) (* x (- 1 (/ y z)))) (taylor 0 x) (#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 (+ (* -1 (* y (- 1 (/ y z)))) (* x (- 1 (/ y z)))) (taylor 0 x) (#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 (+ (* -1 (* y (- 1 (/ y z)))) (* x (- 1 (/ y z)))) (taylor 0 x) (#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 (* x (- 1 (/ y z))) (taylor inf x) (#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 (* x (- (+ 1 (* -1 (/ (* y (- 1 (/ y z))) x))) (/ y z))) (taylor inf x) (#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 (* x (- (+ 1 (* -1 (/ (* y (- 1 (/ y z))) x))) (/ y z))) (taylor inf x) (#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 (* x (- (+ 1 (* -1 (/ (* y (- 1 (/ y z))) x))) (/ y z))) (taylor inf x) (#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 (* x (- 1 (/ y z))) (taylor -inf x) (#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 (* -1 (* x (+ (* -1 (- 1 (/ y z))) (/ (* y (- 1 (/ y z))) x)))) (taylor -inf x) (#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 (* -1 (* x (+ (* -1 (- 1 (/ y z))) (/ (* y (- 1 (/ y z))) x)))) (taylor -inf x) (#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 (* -1 (* x (+ (* -1 (- 1 (/ y z))) (/ (* y (- 1 (/ y z))) x)))) (taylor -inf x) (#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>) () ())) ()) |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | (* (- 1 (/ y z)) (- x y)) |
| 2.0ms | y | @ | 0 | (/ x (- z y)) |
| 1.0ms | x | @ | 0 | (/ (- x y) (* (- 1 (/ y z)) (- x y))) |
| 1.0ms | x | @ | inf | (/ 1 (/ (- 1 (/ y z)) x)) |
| 1.0ms | x | @ | inf | (* (/ x (- z y)) z) |
| 1× | batch-egg-rewrite |
| 6 218× | lower-/.f32 |
| 6 208× | lower-/.f64 |
| 4 298× | lower-*.f32 |
| 4 292× | lower-*.f64 |
| 2 606× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 93 |
| 0 | 33 | 93 |
| 1 | 150 | 83 |
| 2 | 1369 | 83 |
| 0 | 8381 | 83 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) |
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)))) |
(+.f64 x y) |
(-.f64 x y) |
(+.f64 y x) |
(fma.f64 y (/.f64 y z) y) |
(/.f64 y z) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/.f64 x (-.f64 z y)) |
(-.f64 z y) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)) |
| Outputs |
|---|
(+.f64 (/.f64 x (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (neg.f64 (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 x y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 x (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 y z))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x x (*.f64 y (+.f64 x y)))) (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x y)) (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (/.f64 (*.f64 y y) (+.f64 x y)) (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 x x (*.f64 y (+.f64 x y))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 (*.f64 (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) y) (*.f64 (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) |
(-.f64 (/.f64 (*.f64 (/.f64 x (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 (/.f64 x (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 x (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) (fma.f64 (/.f64 x (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 x (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (fma.f64 (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 (/.f64 x (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))))) (/.f64 (*.f64 (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) (fma.f64 (/.f64 x (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 x (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (fma.f64 (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 (/.f64 x (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))))) |
(-.f64 (/.f64 (*.f64 (/.f64 x (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 x (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (+.f64 (/.f64 x (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) (/.f64 (*.f64 (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (+.f64 (/.f64 x (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (neg.f64 (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (neg.f64 (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (neg.f64 (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) |
(fma.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 x (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (neg.f64 (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) |
(fma.f64 (/.f64 x (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (neg.f64 (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) |
(fma.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (-.f64 x y) (+.f64 x y))) (+.f64 x y) (neg.f64 (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) |
(fma.f64 (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) (neg.f64 (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z))) (neg.f64 (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (neg.f64 (-.f64 x y))) (neg.f64 (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) |
(fma.f64 (/.f64 x (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) (neg.f64 (/.f64 y (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) |
(fma.f64 (/.f64 x (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 x x (*.f64 y (-.f64 y x)))) (neg.f64 (/.f64 y (*.f64 (-.f64 x y) (-.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))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (*.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 #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 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) (+.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (-.f64 x y) (+.f64 x y))) (+.f64 x y)) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 x x (*.f64 y (+.f64 x y)))) |
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (-.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 y) (*.f64 z z))) (-.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (neg.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))))) (neg.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (neg.f64 (*.f64 (+.f64 x y) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))))) (neg.f64 (*.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) (neg.f64 (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 (-.f64 x y) (+.f64 x y)))) (neg.f64 (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (+.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 x x (*.f64 y (+.f64 x y)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (*.f64 (-.f64 x y) (+.f64 x y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x y) (-.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 (-.f64 x y) (-.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 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (-.f64 x y) (+.f64 x y)))) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (-.f64 x y))) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (-.f64 x y))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x y) (/.f64 (neg.f64 y) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 x y) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 x y) (/.f64 (neg.f64 y) z)) (*.f64 (-.f64 x y) (/.f64 (neg.f64 y) z))) (*.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (/.f64 (neg.f64 y) z)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (neg.f64 y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (neg.f64 y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (neg.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 y) z) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 #s(literal 1 binary64) (-.f64 x y)) (-.f64 (*.f64 (*.f64 (/.f64 (neg.f64 y) z) (-.f64 x y)) (*.f64 (/.f64 (neg.f64 y) z) (-.f64 x y))) (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 (/.f64 (neg.f64 y) z) (-.f64 x y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 (*.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))) |
(*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y)))) (-.f64 x y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (-.f64 x y) (+.f64 x y)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 x x (*.f64 y (+.f64 x y))))) |
| 1× | egg-herbie |
| 10 952× | lower-fma.f64 |
| 10 952× | lower-fma.f32 |
| 4 818× | lower-*.f64 |
| 4 818× | lower-*.f32 |
| 2 960× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 532 | 4099 |
| 1 | 1656 | 3783 |
| 2 | 4767 | 3646 |
| 0 | 8196 | 3470 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (- 1 (/ y z))) |
(/ 1 (- 1 (/ y z))) |
(/ 1 (- 1 (/ y z))) |
(/ 1 (- 1 (/ y z))) |
(/ 1 (- 1 (/ y z))) |
(/ 1 (- 1 (/ y z))) |
(/ 1 (- 1 (/ y z))) |
(/ 1 (- 1 (/ y z))) |
(/ 1 (- 1 (/ y z))) |
(/ 1 (- 1 (/ y z))) |
(/ 1 (- 1 (/ y z))) |
(/ 1 (- 1 (/ y z))) |
1 |
(+ 1 (/ y z)) |
(+ 1 (* y (+ (/ 1 z) (/ y (pow z 2))))) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z)))) |
(* -1 (/ z y)) |
(/ (+ (* -1 z) (* -1 (/ (pow z 2) y))) y) |
(/ (- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y)) y) |
(/ (- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2)))) y) |
(* -1 (/ z y)) |
(* -1 (/ (+ z (/ (pow z 2) y)) y)) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y))) y)) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (* -1 (pow z 3))) y)) (pow z 2)) y))) y)) |
(* -1 (/ z y)) |
(* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) |
(* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
1 |
(+ 1 (/ y z)) |
(- (+ 1 (/ (pow y 2) (pow z 2))) (* -1 (/ y z))) |
(- (+ 1 (/ (pow y 3) (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (pow z 2))))) |
1 |
(+ 1 (/ y z)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) y) z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (* -1 (pow y 2))) 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) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
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 |
(* 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) |
(/ (* 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))))) |
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)) |
(* -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 (- 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))) |
(/ x (- 1 (/ y z))) |
(/ x (- 1 (/ y z))) |
(/ x (- 1 (/ y z))) |
(/ x (- 1 (/ y z))) |
(/ 1 x) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(* -1 (/ y (* x z))) |
(* y (- (/ 1 (* x y)) (/ 1 (* x z)))) |
(* y (- (/ 1 (* x y)) (/ 1 (* x z)))) |
(* y (- (/ 1 (* x y)) (/ 1 (* x z)))) |
(* -1 (/ y (* x z))) |
(* -1 (* y (- (/ 1 (* x z)) (/ 1 (* x y))))) |
(* -1 (* y (- (/ 1 (* x z)) (/ 1 (* x y))))) |
(* -1 (* y (- (/ 1 (* x z)) (/ 1 (* x y))))) |
(* -1 (/ y (* x z))) |
(/ (+ (* -1 (/ y x)) (/ z x)) z) |
(/ (+ (* -1 (/ y x)) (/ z x)) z) |
(/ (+ (* -1 (/ y x)) (/ z x)) z) |
(/ 1 x) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(/ 1 x) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(+ (* -1 (/ y (* x z))) (/ 1 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)) x) |
(/ (- 1 (/ y z)) x) |
(/ (- 1 (/ y z)) x) |
(/ (- 1 (/ y z)) x) |
(/ (- 1 (/ y z)) 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))) |
x |
(+ x (* y (- (* -1 (/ x z)) 1))) |
(+ x (* y (- (+ (* -1 (/ x z)) (/ y z)) 1))) |
(+ x (* y (- (+ (* -1 (/ x z)) (/ y z)) 1))) |
(/ (pow y 2) z) |
(* (pow y 2) (- (+ (* -1 (/ x (* y z))) (/ 1 z)) (/ 1 y))) |
(* (pow y 2) (- (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x (pow y 2)))) (/ 1 y))) |
(* (pow y 2) (- (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x (pow y 2)))) (/ 1 y))) |
(/ (pow y 2) z) |
(* (pow y 2) (+ (* -1 (/ (+ 1 (/ x z)) y)) (/ 1 z))) |
(* (pow y 2) (+ (* -1 (/ (+ 1 (+ (* -1 (/ x y)) (/ x z))) y)) (/ 1 z))) |
(* (pow y 2) (+ (* -1 (/ (+ 1 (+ (* -1 (/ x y)) (/ x z))) y)) (/ 1 z))) |
(* -1 (/ (* y (- x y)) z)) |
(/ (+ (* -1 (* y (- x y))) (* z (- x y))) z) |
(/ (+ (* -1 (* y (- x y))) (* z (- x y))) z) |
(/ (+ (* -1 (* y (- x y))) (* z (- x y))) z) |
(- x y) |
(- (+ x (* -1 (/ (* y (- x y)) z))) y) |
(- (+ x (* -1 (/ (* y (- x y)) z))) y) |
(- (+ x (* -1 (/ (* y (- x y)) z))) y) |
(- x y) |
(- (+ x (* -1 (/ (* y (- x y)) z))) y) |
(- (+ x (* -1 (/ (* y (- x y)) z))) y) |
(- (+ x (* -1 (/ (* y (- x y)) z))) y) |
(* -1 (* y (- 1 (/ y z)))) |
(+ (* -1 (* y (- 1 (/ y z)))) (* x (- 1 (/ y z)))) |
(+ (* -1 (* y (- 1 (/ y z)))) (* x (- 1 (/ y z)))) |
(+ (* -1 (* y (- 1 (/ y z)))) (* x (- 1 (/ y z)))) |
(* x (- 1 (/ y z))) |
(* x (- (+ 1 (* -1 (/ (* y (- 1 (/ y z))) x))) (/ y z))) |
(* x (- (+ 1 (* -1 (/ (* y (- 1 (/ y z))) x))) (/ y z))) |
(* x (- (+ 1 (* -1 (/ (* y (- 1 (/ y z))) x))) (/ y z))) |
(* x (- 1 (/ y z))) |
(* -1 (* x (+ (* -1 (- 1 (/ y z))) (/ (* y (- 1 (/ y z))) x)))) |
(* -1 (* x (+ (* -1 (- 1 (/ y z))) (/ (* y (- 1 (/ y z))) x)))) |
(* -1 (* x (+ (* -1 (- 1 (/ y z))) (/ (* y (- 1 (/ y z))) x)))) |
| Outputs |
|---|
(/ 1 (- 1 (/ y z))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ 1 (- 1 (/ y z))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ 1 (- 1 (/ y z))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ 1 (- 1 (/ y z))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ 1 (- 1 (/ y z))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ 1 (- 1 (/ y z))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ 1 (- 1 (/ y z))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ 1 (- 1 (/ y z))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ 1 (- 1 (/ y z))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ 1 (- 1 (/ y z))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ 1 (- 1 (/ y z))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ 1 (- 1 (/ y z))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y z)) |
(+.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* y (+ (/ 1 z) (/ y (pow z 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y z) y) z)) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (/.f64 y (*.f64 z (*.f64 z z))) (/.f64 y (*.f64 z z))) (/.f64 y z))) |
(* -1 (/ z y)) |
(/.f64 z (neg.f64 y)) |
(/ (+ (* -1 z) (* -1 (/ (pow z 2) y))) y) |
(/.f64 (fma.f64 z (/.f64 z y) z) (neg.f64 y)) |
(/ (- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y)) y) |
(/.f64 (-.f64 (neg.f64 z) (/.f64 (fma.f64 z z (/.f64 (*.f64 z (*.f64 z z)) y)) y)) y) |
(/ (- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2)))) y) |
(/.f64 (-.f64 (-.f64 (neg.f64 z) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 y (*.f64 y y)))) (/.f64 (fma.f64 z z (/.f64 (*.f64 z (*.f64 z z)) y)) y)) y) |
(* -1 (/ z y)) |
(/.f64 z (neg.f64 y)) |
(* -1 (/ (+ z (/ (pow z 2) y)) y)) |
(/.f64 (fma.f64 z (/.f64 z y) z) (neg.f64 y)) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y))) y)) |
(/.f64 (-.f64 (neg.f64 z) (/.f64 (fma.f64 z z (/.f64 (*.f64 z (*.f64 z z)) y)) y)) y) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (* -1 (pow z 3))) y)) (pow z 2)) y))) y)) |
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 z z (/.f64 (fma.f64 z (*.f64 z z) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) y)) y))) y) z) y) |
(* -1 (/ z y)) |
(/.f64 z (neg.f64 y)) |
(* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) |
(/.f64 (fma.f64 z (/.f64 z y) z) (neg.f64 y)) |
(* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.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))) |
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 z (fma.f64 z (fma.f64 z (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (/.f64 z (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y z)) |
(+.f64 #s(literal 1 binary64) (/.f64 y z)) |
(- (+ 1 (/ (pow y 2) (pow z 2))) (* -1 (/ y z))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y z) y) z)) |
(- (+ 1 (/ (pow y 3) (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (pow z 2))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (/.f64 y (*.f64 z (*.f64 z z))) (/.f64 y (*.f64 z z))) (/.f64 y z))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y z)) |
(+.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) y) z))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y z) y) z)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (* -1 (pow y 2))) z)) y) z))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 y y (/.f64 (*.f64 y (*.f64 y y)) z)) z) 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))) |
(/.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 (fma.f64 y (/.f64 x (neg.f64 z)) x)) (/.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 (fma.f64 y (/.f64 x (neg.f64 z)) x)) (/.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 (fma.f64 y (/.f64 x (neg.f64 z)) x)) (/.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 (fma.f64 y (/.f64 x (neg.f64 z)) x)) (/.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 (fma.f64 y (/.f64 x (neg.f64 z)) x)) (/.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 (fma.f64 y (/.f64 x (neg.f64 z)) x)) (/.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 (+.f64 (/.f64 x z) (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)) #s(literal 1 binary64))) 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 z (/.f64 (*.f64 z (-.f64 (neg.f64 x) 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 z (*.f64 z (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (*.f64 y (*.f64 y y)))) (fma.f64 z (/.f64 (*.f64 z (-.f64 (neg.f64 x) 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))) |
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(/.f64 (+.f64 x (/.f64 (fma.f64 z x (*.f64 x (/.f64 (fma.f64 z z (/.f64 (*.f64 z (*.f64 z z)) y)) y))) y)) (neg.f64 y)) |
(* -1 y) |
(neg.f64 y) |
(- z y) |
(-.f64 z y) |
(- z y) |
(-.f64 z y) |
(- z y) |
(-.f64 z y) |
z |
(* z (+ 1 (* -1 (/ y z)))) |
(-.f64 z (*.f64 z (/.f64 y z))) |
(* z (+ 1 (* -1 (/ y z)))) |
(-.f64 z (*.f64 z (/.f64 y z))) |
(* z (+ 1 (* -1 (/ y z)))) |
(-.f64 z (*.f64 z (/.f64 y z))) |
z |
(* -1 (* z (- (/ y z) 1))) |
(-.f64 z (*.f64 z (/.f64 y z))) |
(* -1 (* z (- (/ y z) 1))) |
(-.f64 z (*.f64 z (/.f64 y z))) |
(* -1 (* z (- (/ y z) 1))) |
(-.f64 z (*.f64 z (/.f64 y z))) |
z |
(+ z (* -1 y)) |
(-.f64 z y) |
(+ z (* -1 y)) |
(-.f64 z y) |
(+ z (* -1 y)) |
(-.f64 z y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ z y) 1)) |
(fma.f64 y (/.f64 z y) (neg.f64 y)) |
(* y (- (/ z y) 1)) |
(fma.f64 y (/.f64 z y) (neg.f64 y)) |
(* y (- (/ z y) 1)) |
(fma.f64 y (/.f64 z y) (neg.f64 y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(fma.f64 y (/.f64 z y) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(fma.f64 y (/.f64 z y) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(fma.f64 y (/.f64 z y) (neg.f64 y)) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 y (/.f64 x z) x) |
(+ x (* y (- (/ (* x y) (pow z 2)) (* -1 (/ x z))))) |
(fma.f64 y (/.f64 (fma.f64 y (/.f64 x z) x) z) x) |
(+ x (* y (- (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (* -1 (/ x z))))) |
(fma.f64 y (fma.f64 y (fma.f64 y (/.f64 x (*.f64 z (*.f64 z z))) (/.f64 x (*.f64 z z))) (/.f64 x z)) x) |
(* -1 (/ (* x z) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y) |
(/.f64 (*.f64 x (fma.f64 z (/.f64 z y) z)) (neg.f64 y)) |
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 3)) (pow y 2)))) (/ (* x (pow z 2)) y)) y) |
(/.f64 (fma.f64 z x (*.f64 x (/.f64 (fma.f64 z z (/.f64 (*.f64 z (*.f64 z z)) y)) y))) (neg.f64 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) |
(/.f64 (neg.f64 (fma.f64 x (+.f64 z (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 y (*.f64 y y)))) (*.f64 x (/.f64 (fma.f64 z z (/.f64 (*.f64 z (*.f64 z z)) y)) y)))) y) |
(* -1 (/ (* x z) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y)) |
(/.f64 (*.f64 x (fma.f64 z (/.f64 z y) z)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow z 3)) y)) (* x (pow z 2))) y)) (* x z)) y)) |
(/.f64 (fma.f64 z x (*.f64 x (/.f64 (fma.f64 z z (/.f64 (*.f64 z (*.f64 z z)) y)) y))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 4)) y) (* -1 (* x (pow z 3)))) y)) (* x (pow z 2))) y)) (* x z)) y)) |
(/.f64 (fma.f64 z x (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (/.f64 x y) (*.f64 z (*.f64 z (*.f64 z x)))) y) (*.f64 z (*.f64 z x))) y)) (neg.f64 y)) |
(* -1 (/ (* x z) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) |
(/.f64 (*.f64 x (fma.f64 z (/.f64 z y) z)) (neg.f64 y)) |
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) |
(*.f64 z (-.f64 (neg.f64 (*.f64 (fma.f64 z (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 x (*.f64 y y))) z)) (/.f64 x y))) |
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))) |
(*.f64 z (fma.f64 z (-.f64 (neg.f64 (*.f64 z (fma.f64 z (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 x (*.f64 y (*.f64 y y)))))) (/.f64 x (*.f64 y y))) (/.f64 x (neg.f64 y)))) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 y (/.f64 x z) x) |
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) |
(fma.f64 x (/.f64 (fma.f64 y (/.f64 y z) y) z) x) |
(- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2))))) |
(fma.f64 x (/.f64 (fma.f64 y (/.f64 y z) y) z) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 x (*.f64 z (*.f64 z z))) x)) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 y (/.f64 x z) x) |
(+ x (* -1 (/ (- (* -1 (/ (* x (pow y 2)) z)) (* x y)) z))) |
(fma.f64 x (/.f64 (fma.f64 y (/.f64 y z) y) z) x) |
(+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) z) (* -1 (* x (pow y 2)))) z)) (* x y)) z))) |
(+.f64 x (/.f64 (fma.f64 y x (/.f64 (*.f64 x (fma.f64 y y (/.f64 (*.f64 y (*.f64 y y)) z))) z)) z)) |
(/ x (- 1 (/ 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 (/ 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 (/ 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 (/ 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 (/ 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 (/ 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))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(* -1 (/ y (* x z))) |
(/.f64 y (*.f64 z (neg.f64 x))) |
(* y (- (/ 1 (* x y)) (/ 1 (* x z)))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 y (*.f64 z (neg.f64 x)))) |
(* y (- (/ 1 (* x y)) (/ 1 (* x z)))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 y (*.f64 z (neg.f64 x)))) |
(* y (- (/ 1 (* x y)) (/ 1 (* x z)))) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 y (*.f64 z (neg.f64 x)))) |
(* -1 (/ y (* x z))) |
(/.f64 y (*.f64 z (neg.f64 x))) |
(* -1 (* y (- (/ 1 (* x z)) (/ 1 (* x y))))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 y (*.f64 z (neg.f64 x)))) |
(* -1 (* y (- (/ 1 (* x z)) (/ 1 (* x y))))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 y (*.f64 z (neg.f64 x)))) |
(* -1 (* y (- (/ 1 (* x z)) (/ 1 (* x y))))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 y (*.f64 z (neg.f64 x)))) |
(* -1 (/ y (* x z))) |
(/.f64 y (*.f64 z (neg.f64 x))) |
(/ (+ (* -1 (/ y x)) (/ z x)) z) |
(/.f64 (-.f64 (/.f64 z x) (/.f64 y x)) z) |
(/ (+ (* -1 (/ y x)) (/ z x)) z) |
(/.f64 (-.f64 (/.f64 z x) (/.f64 y x)) z) |
(/ (+ (* -1 (/ y x)) (/ z x)) z) |
(/.f64 (-.f64 (/.f64 z x) (/.f64 y x)) z) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(+ (* -1 (/ y (* x z))) (/ 1 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(/ (- 1 (/ y z)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(/ (- 1 (/ y z)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(/ (- 1 (/ y z)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(/ (- 1 (/ y z)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(/ (- 1 (/ y z)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(/ (- 1 (/ y z)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(/ (- 1 (/ y z)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(/ (- 1 (/ y z)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(/ (- 1 (/ y z)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(/ (- 1 (/ y z)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(/ (- 1 (/ y z)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(/ (- 1 (/ y z)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) 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)) |
x |
(+ x (* y (- (* -1 (/ x z)) 1))) |
(fma.f64 y (-.f64 #s(literal -1 binary64) (/.f64 x z)) x) |
(+ x (* y (- (+ (* -1 (/ x z)) (/ y z)) 1))) |
(+.f64 x (neg.f64 (fma.f64 (-.f64 x y) (/.f64 y z) y))) |
(+ x (* y (- (+ (* -1 (/ x z)) (/ y z)) 1))) |
(+.f64 x (neg.f64 (fma.f64 (-.f64 x y) (/.f64 y z) y))) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(* (pow y 2) (- (+ (* -1 (/ x (* y z))) (/ 1 z)) (/ 1 y))) |
(*.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y z))) #s(literal -1 binary64))) |
(* (pow y 2) (- (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x (pow y 2)))) (/ 1 y))) |
(*.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y z)))) #s(literal -1 binary64))) |
(* (pow y 2) (- (+ (* -1 (/ x (* y z))) (+ (/ 1 z) (/ x (pow y 2)))) (/ 1 y))) |
(*.f64 y (fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y z)))) #s(literal -1 binary64))) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(* (pow y 2) (+ (* -1 (/ (+ 1 (/ x z)) y)) (/ 1 z))) |
(*.f64 y (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (*.f64 y z))) #s(literal -1 binary64))) |
(* (pow y 2) (+ (* -1 (/ (+ 1 (+ (* -1 (/ x y)) (/ x z))) y)) (/ 1 z))) |
(*.f64 y (fma.f64 y (/.f64 (+.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 y)) (/.f64 y z))) |
(* (pow y 2) (+ (* -1 (/ (+ 1 (+ (* -1 (/ x y)) (/ x z))) y)) (/ 1 z))) |
(*.f64 y (fma.f64 y (/.f64 (+.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (neg.f64 y)) (/.f64 y z))) |
(* -1 (/ (* y (- x y)) z)) |
(neg.f64 (/.f64 (*.f64 y (-.f64 x y)) z)) |
(/ (+ (* -1 (* y (- x y))) (* z (- x y))) z) |
(/.f64 (*.f64 (-.f64 x y) (-.f64 z y)) z) |
(/ (+ (* -1 (* y (- x y))) (* z (- x y))) z) |
(/.f64 (*.f64 (-.f64 x y) (-.f64 z y)) z) |
(/ (+ (* -1 (* y (- x y))) (* z (- x y))) z) |
(/.f64 (*.f64 (-.f64 x y) (-.f64 z y)) z) |
(- x y) |
(-.f64 x y) |
(- (+ x (* -1 (/ (* y (- x y)) z))) y) |
(+.f64 x (neg.f64 (fma.f64 (-.f64 x y) (/.f64 y z) y))) |
(- (+ x (* -1 (/ (* y (- x y)) z))) y) |
(+.f64 x (neg.f64 (fma.f64 (-.f64 x y) (/.f64 y z) y))) |
(- (+ x (* -1 (/ (* y (- x y)) z))) y) |
(+.f64 x (neg.f64 (fma.f64 (-.f64 x y) (/.f64 y z) y))) |
(- x y) |
(-.f64 x y) |
(- (+ x (* -1 (/ (* y (- x y)) z))) y) |
(+.f64 x (neg.f64 (fma.f64 (-.f64 x y) (/.f64 y z) y))) |
(- (+ x (* -1 (/ (* y (- x y)) z))) y) |
(+.f64 x (neg.f64 (fma.f64 (-.f64 x y) (/.f64 y z) y))) |
(- (+ x (* -1 (/ (* y (- x y)) z))) y) |
(+.f64 x (neg.f64 (fma.f64 (-.f64 x y) (/.f64 y z) y))) |
(* -1 (* y (- 1 (/ y z)))) |
(fma.f64 y (/.f64 y z) (neg.f64 y)) |
(+ (* -1 (* y (- 1 (/ y z)))) (* x (- 1 (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)) |
(+ (* -1 (* y (- 1 (/ y z)))) (* x (- 1 (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)) |
(+ (* -1 (* y (- 1 (/ y z)))) (* x (- 1 (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)) |
(* x (- 1 (/ y z))) |
(fma.f64 y (/.f64 x (neg.f64 z)) x) |
(* x (- (+ 1 (* -1 (/ (* y (- 1 (/ y z))) x))) (/ y z))) |
(fma.f64 x (-.f64 (/.f64 (fma.f64 y (/.f64 y z) (neg.f64 y)) x) (/.f64 y z)) x) |
(* x (- (+ 1 (* -1 (/ (* y (- 1 (/ y z))) x))) (/ y z))) |
(fma.f64 x (-.f64 (/.f64 (fma.f64 y (/.f64 y z) (neg.f64 y)) x) (/.f64 y z)) x) |
(* x (- (+ 1 (* -1 (/ (* y (- 1 (/ y z))) x))) (/ y z))) |
(fma.f64 x (-.f64 (/.f64 (fma.f64 y (/.f64 y z) (neg.f64 y)) x) (/.f64 y z)) x) |
(* x (- 1 (/ y z))) |
(fma.f64 y (/.f64 x (neg.f64 z)) x) |
(* -1 (* x (+ (* -1 (- 1 (/ y z))) (/ (* y (- 1 (/ y z))) x)))) |
(fma.f64 x (-.f64 (/.f64 (fma.f64 y (/.f64 y z) (neg.f64 y)) x) (/.f64 y z)) x) |
(* -1 (* x (+ (* -1 (- 1 (/ y z))) (/ (* y (- 1 (/ y z))) x)))) |
(fma.f64 x (-.f64 (/.f64 (fma.f64 y (/.f64 y z) (neg.f64 y)) x) (/.f64 y z)) x) |
(* -1 (* x (+ (* -1 (- 1 (/ y z))) (/ (* y (- 1 (/ y z))) x)))) |
(fma.f64 x (-.f64 (/.f64 (fma.f64 y (/.f64 y z) (neg.f64 y)) x) (/.f64 y z)) x) |
Compiled 41 970 to 3 913 computations (90.7% saved)
23 alts after pruning (15 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 641 | 6 | 1 647 |
| Fresh | 2 | 9 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 645 | 23 | 1 668 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 21.7% | (fma.f64 y (/.f64 y z) y) |
| ▶ | 42.0% | (fma.f64 y (/.f64 x y) y) |
| 32.2% | (fma.f64 x (/.f64 y z) x) | |
| 26.4% | (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) y) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 z x))) (*.f64 (+.f64 #s(literal 0 binary64) z) y)) | |
| 36.5% | (/.f64 (+.f64 x y) (/.f64 y (neg.f64 z))) | |
| ✓ | 87.4% | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 36.2% | (/.f64 (*.f64 z x) (-.f64 z y)) | |
| 2.5% | (/.f64 (*.f64 y y) z) | |
| 43.4% | (/.f64 z (/.f64 (-.f64 z y) x)) | |
| ▶ | 47.3% | (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| ✓ | 87.3% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) |
| ▶ | 45.1% | (-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z) |
| ✓ | 52.6% | (+.f64 y x) |
| ✓ | 50.7% | (*.f64 (/.f64 y (-.f64 z y)) z) |
| ▶ | 19.7% | (*.f64 (/.f64 y z) z) |
| ✓ | 43.6% | (*.f64 (/.f64 x (-.f64 z y)) z) |
| ▶ | 17.0% | (*.f64 (/.f64 x (neg.f64 y)) z) |
| 20.9% | (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (*.f64 (/.f64 y (neg.f64 z)) (-.f64 x y)))) | |
| 42.6% | (*.f64 y (/.f64 z (-.f64 z y))) | |
| 18.0% | (*.f64 x (/.f64 z (neg.f64 y))) | |
| ✓ | 47.1% | (neg.f64 (fma.f64 z (/.f64 x y) z)) |
| 17.4% | (neg.f64 (/.f64 (*.f64 z x) y)) | |
| ✓ | 33.7% | (neg.f64 z) |
Compiled 412 to 250 computations (39.3% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (neg.f64 x) z) |
| ✓ | cost-diff | 0 | (*.f64 z (-.f64 (neg.f64 x) z)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) |
| ✓ | cost-diff | 128 | (-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z) |
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (/.f64 x (neg.f64 y)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 x (neg.f64 y)) z) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 896 | (fma.f64 y (/.f64 x y) y) |
| ✓ | cost-diff | 0 | (/.f64 y z) |
| ✓ | cost-diff | 1024 | (*.f64 (/.f64 y z) z) |
| ✓ | cost-diff | 0 | (/.f64 y z) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 y z)) |
| ✓ | cost-diff | 0 | (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 4 734× | lower-fma.f32 |
| 4 732× | lower-fma.f64 |
| 2 350× | lower-*.f32 |
| 2 344× | lower-*.f64 |
| 1 652× | lower-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 88 |
| 0 | 33 | 84 |
| 1 | 59 | 84 |
| 2 | 114 | 84 |
| 3 | 229 | 82 |
| 4 | 417 | 80 |
| 5 | 1381 | 80 |
| 6 | 4747 | 80 |
| 7 | 7112 | 80 |
| 0 | 8110 | 80 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
x |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
#s(literal 1 binary64) |
(/.f64 y z) |
y |
z |
(*.f64 (/.f64 y z) z) |
(/.f64 y z) |
y |
z |
(fma.f64 y (/.f64 x y) y) |
y |
(/.f64 x y) |
x |
(*.f64 (/.f64 x (neg.f64 y)) z) |
(/.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
z |
(-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z) |
(/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) |
(*.f64 z (-.f64 (neg.f64 x) z)) |
z |
(-.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
y |
| Outputs |
|---|
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
x |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
#s(literal 1 binary64) |
(/.f64 y z) |
y |
z |
(*.f64 (/.f64 y z) z) |
y |
(/.f64 y z) |
y |
z |
(fma.f64 y (/.f64 x y) y) |
(+.f64 x y) |
y |
(/.f64 x y) |
x |
(*.f64 (/.f64 x (neg.f64 y)) z) |
(*.f64 z (/.f64 x (neg.f64 y))) |
(/.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
z |
(-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z) |
(neg.f64 (fma.f64 z (/.f64 (+.f64 x z) y) z)) |
(/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) |
(*.f64 z (/.f64 (-.f64 (neg.f64 x) z) y)) |
(*.f64 z (-.f64 (neg.f64 x) z)) |
z |
(-.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
y |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (neg.f64 x) z) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 z (-.f64 (neg.f64 x) z)) |
| ✓ | accuracy | 92.0% | (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) |
| ✓ | accuracy | 100.0% | (/.f64 x (neg.f64 y)) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 91.6% | (*.f64 (/.f64 x (neg.f64 y)) z) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 87.3% | (fma.f64 y (/.f64 x y) y) |
| ✓ | accuracy | 100.0% | (/.f64 y z) |
| ✓ | accuracy | 77.4% | (*.f64 (/.f64 y z) z) |
| ✓ | accuracy | 100.0% | (/.f64 y z) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (/.f64 y z)) |
| ✓ | accuracy | 96.3% | (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 41.0ms | 256× | 0 | valid |
Compiled 91 to 21 computations (76.9% saved)
ival-div: 11.0ms (42.9% of total)ival-mult: 6.0ms (23.4% of total)ival-sub: 3.0ms (11.7% of total)ival-add: 3.0ms (11.7% of total)ival-neg: 2.0ms (7.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<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>) () ()) |
#s(alt (*.f64 (/.f64 y z) z) (patch (*.f64 (/.f64 y z) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (neg.f64 y)) z) (patch (*.f64 (/.f64 x (neg.f64 y)) z) #<representation binary64>) () ()) |
#s(alt (/.f64 x (neg.f64 y)) (patch (/.f64 x (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z) (patch (-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) (patch (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x (- 1 (/ y z))) (taylor 0 x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor 0 x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor 0 x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor 0 x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* x y) z)) (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (/ (* x y) (pow z 2)) (* -1 (/ x z))))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (* -1 (/ x z))))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor inf y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 3)) (pow y 2)))) (/ (* x (pow z 2)) y)) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 4)) (pow y 3)))) (+ (/ (* x (pow z 2)) y) (/ (* x (pow z 3)) (pow y 2)))) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor -inf y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y)) (taylor -inf y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow z 3)) y)) (* x (pow z 2))) y)) (* x z)) y)) (taylor -inf y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 4)) y) (* -1 (* x (pow z 3)))) y)) (* x (pow z 2))) y)) (* x z)) y)) (taylor -inf y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor 0 z) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) (taylor 0 z) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))) (taylor 0 z) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf z) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* x y) z)) (taylor inf z) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) (taylor inf z) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2))))) (taylor inf z) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf z) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* x y) z)) (taylor -inf z) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (- (* -1 (/ (* x (pow y 2)) z)) (* x y)) z))) (taylor -inf z) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) z) (* -1 (* x (pow y 2)))) z)) (* x y)) z))) (taylor -inf z) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<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>) () ())) ()) |
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#s(alt (* -1 (* x (+ (/ z y) (/ (pow z 2) (* x y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) (patch (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ z y) (/ (pow z 2) (* x y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) (patch (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ z y) (/ (pow z 2) (* x y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) (patch (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x z)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) (patch (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x z)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) (patch (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x z)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) (patch (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x z)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) (patch (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x z)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) (patch (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x z)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) (patch (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x z)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) (patch (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x z)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) (patch (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x z)) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) (patch (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x z)) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) (patch (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x z)) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) (patch (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x z)) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) (patch (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (* -1 z))) (taylor 0 z) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (* -1 z))) (taylor 0 z) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (* -1 z))) (taylor 0 z) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor inf z) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* -1 (/ x z)) 1)) (taylor inf z) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* -1 (/ x z)) 1)) (taylor inf z) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* -1 (/ x z)) 1)) (taylor inf z) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor -inf z) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* -1 (/ x z)) 1)) (taylor -inf z) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* -1 (/ x z)) 1)) (taylor -inf z) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* -1 (/ x z)) 1)) (taylor -inf z) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow z 2)) (taylor 0 x) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* -1 (pow z 2))) (taylor 0 x) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* -1 (pow z 2))) (taylor 0 x) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* -1 (pow z 2))) (taylor 0 x) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor inf x) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 z) (* -1 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 z) (* -1 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 z) (* -1 (/ (pow z 2) x)))) (taylor inf x) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ z (/ (pow z 2) x)))) (taylor -inf x) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ z (/ (pow z 2) x)))) (taylor -inf x) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ z (/ (pow z 2) x)))) (taylor -inf x) (#s(alt (*.f64 z (-.f64 (neg.f64 x) z)) (patch (*.f64 z (-.f64 (neg.f64 x) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 x) z) (taylor 0 x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 x) z) (taylor 0 x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 x) z) (taylor 0 x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1 (/ z x)) 1)) (taylor inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1 (/ z x)) 1)) (taylor inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1 (/ z x)) 1)) (taylor inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 z) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 z) x) (taylor 0 z) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 z) x) (taylor 0 z) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 z) x) (taylor 0 z) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* -1 (/ x z)) 1)) (taylor inf z) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* -1 (/ x z)) 1)) (taylor inf z) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* -1 (/ x z)) 1)) (taylor inf z) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (/ x z)))) (taylor -inf z) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (/ x z)))) (taylor -inf z) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (/ x z)))) (taylor -inf z) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | (* z (- (neg x) z)) |
| 1.0ms | y | @ | 0 | (- (/ (* z (- (neg x) z)) y) z) |
| 1.0ms | x | @ | 0 | (- (/ (* z (- (neg x) z)) y) z) |
| 1.0ms | z | @ | 0 | (- (/ (* z (- (neg x) z)) y) z) |
| 1.0ms | x | @ | inf | (- (/ (* z (- (neg x) z)) y) z) |
| 1× | batch-egg-rewrite |
| 5 214× | lower-fma.f32 |
| 5 212× | lower-fma.f64 |
| 3 552× | lower-/.f32 |
| 3 542× | lower-/.f64 |
| 3 482× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 71 |
| 0 | 33 | 70 |
| 1 | 133 | 70 |
| 2 | 998 | 57 |
| 0 | 9308 | 57 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 y z) |
(*.f64 (/.f64 y z) z) |
(fma.f64 y (/.f64 x y) y) |
(/.f64 x y) |
(*.f64 (/.f64 x (neg.f64 y)) z) |
(/.f64 x (neg.f64 y)) |
(neg.f64 y) |
(-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z) |
(/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) |
(*.f64 z (-.f64 (neg.f64 x) z)) |
(-.f64 (neg.f64 x) z) |
(neg.f64 x) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.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 (-.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 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (/.f64 y z))) |
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) (/.f64 y z))) |
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) (/.f64 y z)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64) (*.f64 (/.f64 x (-.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 x (-.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 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (/.f64 y z))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) (/.f64 y z))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) (/.f64 y z) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 x (+.f64 (/.f64 y z) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)) |
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) z))) |
(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(/.f64 (*.f64 z (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (fma.f64 z (+.f64 x z) (*.f64 x x))) |
(/.f64 (*.f64 z (*.f64 (-.f64 x z) (+.f64 x z))) (+.f64 x z)) |
(/.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) z) (fma.f64 z (+.f64 x z) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) z) (+.f64 x z)) |
(/.f64 (neg.f64 (*.f64 z (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)))) (fma.f64 x x (*.f64 z (-.f64 x z)))) |
(/.f64 (neg.f64 (*.f64 z (*.f64 (-.f64 x z) (+.f64 x z)))) (-.f64 x z)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) z)) (fma.f64 x x (*.f64 z (-.f64 x z)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) z)) (-.f64 x z)) |
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)) (pow.f64 (neg.f64 (*.f64 z z)) #s(literal 3 binary64))) (fma.f64 (*.f64 z z) (*.f64 x x) (-.f64 (*.f64 (neg.f64 (*.f64 z z)) (neg.f64 (*.f64 z z))) (*.f64 (*.f64 x z) (neg.f64 (*.f64 z z)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 x x)) (*.f64 (neg.f64 (*.f64 z z)) (neg.f64 (*.f64 z z)))) (-.f64 (*.f64 x z) (neg.f64 (*.f64 z z)))) |
(*.f64 #s(literal 1 binary64) (*.f64 z (-.f64 x z))) |
(*.f64 z (-.f64 x z)) |
(*.f64 (-.f64 x z) z) |
(*.f64 (*.f64 z (-.f64 x z)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 z) (+.f64 x z)) |
(*.f64 #s(literal -1 binary64) (*.f64 z (+.f64 x z))) |
(*.f64 (+.f64 x z) (neg.f64 z)) |
(*.f64 (*.f64 z (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x)))) |
(*.f64 (*.f64 z (*.f64 (-.f64 x z) (+.f64 x z))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) |
(*.f64 (*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x)))) |
(*.f64 (*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) z) (/.f64 #s(literal 1 binary64) (+.f64 x z))) |
(+.f64 x (neg.f64 z)) |
(+.f64 #s(literal 0 binary64) (-.f64 x z)) |
(+.f64 (neg.f64 z) x) |
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x))))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 x z)))) |
(-.f64 x z) |
(-.f64 #s(literal 0 binary64) (+.f64 x z)) |
(-.f64 (neg.f64 z) x) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z))) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 z)) |
(fma.f64 x #s(literal -1 binary64) (neg.f64 z)) |
(fma.f64 x (/.f64 y y) (neg.f64 z)) |
(fma.f64 x (/.f64 y (neg.f64 y)) (neg.f64 z)) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 z)) |
(fma.f64 y (/.f64 x y) (neg.f64 z)) |
(fma.f64 (/.f64 x y) y (neg.f64 z)) |
(fma.f64 (/.f64 x y) (neg.f64 y) (neg.f64 z)) |
(fma.f64 (neg.f64 y) (/.f64 x y) (neg.f64 z)) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (neg.f64 z)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) (neg.f64 z)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x z)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 x z)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y) (neg.f64 z)) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 z)) |
(fma.f64 #s(literal -1 binary64) x (neg.f64 z)) |
(fma.f64 #s(literal -1 binary64) z x) |
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y) (neg.f64 z)) |
(fma.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y) (neg.f64 z)) |
(fma.f64 (/.f64 y y) x (neg.f64 z)) |
(neg.f64 (+.f64 x z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) (fma.f64 z (+.f64 x z) (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) (neg.f64 (fma.f64 x x (*.f64 z (-.f64 x z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)))) |
(/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (+.f64 x z)) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x x (*.f64 z (-.f64 x z)))) |
(/.f64 (fma.f64 x x (*.f64 z z)) (-.f64 x z)) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (*.f64 z (*.f64 z z)))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x z)) (*.f64 (+.f64 x z) (*.f64 z z))) (fma.f64 x x (*.f64 z z))) |
(/.f64 (fma.f64 z (neg.f64 (*.f64 z z)) (*.f64 x (*.f64 x x))) (fma.f64 z z (-.f64 (*.f64 x x) (*.f64 x z)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x z) (-.f64 x z) (*.f64 #s(literal 0 binary64) (+.f64 x z))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 x z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (/.f64 (*.f64 x x) (-.f64 x z)) (fma.f64 (/.f64 (*.f64 z z) (+.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z)))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (-.f64 x z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 z z))) (+.f64 x z)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (/.f64 (*.f64 x x) (-.f64 x z))) (*.f64 (/.f64 (*.f64 z z) (+.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z)))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 x z)) |
(*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x)))) |
(*.f64 #s(literal -1 binary64) (+.f64 x z)) |
(*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 x z))) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z (-.f64 x z))))) |
(*.f64 (fma.f64 x x (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 x z))) |
x |
(+.f64 #s(literal 0 binary64) x) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) x) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) x) |
(neg.f64 x) |
(/.f64 x #s(literal 1 binary64)) |
(/.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x))) |
(/.f64 y (/.f64 y x)) |
(/.f64 (neg.f64 y) (/.f64 y x)) |
(/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64)))) |
(/.f64 (*.f64 x x) x) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x y) y) |
(/.f64 (*.f64 x y) (neg.f64 y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 x (/.f64 y y)) |
(*.f64 x (/.f64 y (neg.f64 y))) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 y (/.f64 x y)) |
(*.f64 (/.f64 x y) y) |
(*.f64 (/.f64 x y) (neg.f64 y)) |
(*.f64 (neg.f64 y) (/.f64 x y)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 y y) x) |
| 1× | egg-herbie |
| 8 632× | lower-fma.f64 |
| 8 632× | lower-fma.f32 |
| 3 962× | lower--.f64 |
| 3 962× | lower--.f32 |
| 3 122× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 2239 |
| 1 | 714 | 2161 |
| 2 | 1973 | 2047 |
| 3 | 5722 | 2034 |
| 0 | 8143 | 2002 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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))) |
(/ x (- 1 (/ y z))) |
(/ x (- 1 (/ y z))) |
(/ x (- 1 (/ y z))) |
(/ x (- 1 (/ 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)) |
(* -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))) |
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) |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
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))) |
(/ 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) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* z (- (* -1 (/ x y)) 1)) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(* -1 (/ (pow z 2) y)) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(* -1 (/ (pow z 2) y)) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(- (* -1 (/ (pow z 2) y)) z) |
(- (+ (* -1 (/ (* x z) y)) (* -1 (/ (pow z 2) y))) z) |
(- (+ (* -1 (/ (* x z) y)) (* -1 (/ (pow z 2) y))) z) |
(- (+ (* -1 (/ (* x z) y)) (* -1 (/ (pow z 2) y))) z) |
(* -1 (/ (* x z) y)) |
(* x (- (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))) (/ z x))) |
(* x (- (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))) (/ z x))) |
(* x (- (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))) (/ z x))) |
(* -1 (/ (* x z) y)) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) |
(* -1 (/ (* z (+ x z)) y)) |
(/ (+ (* -1 (* y z)) (* -1 (* z (+ x z)))) y) |
(/ (+ (* -1 (* y z)) (* -1 (* z (+ x z)))) y) |
(/ (+ (* -1 (* y z)) (* -1 (* z (+ x z)))) y) |
(* -1 z) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(* -1 z) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (* -1 (/ z y)))) |
(* z (+ (* -1 (/ x y)) (* -1 (/ z y)))) |
(* z (+ (* -1 (/ x y)) (* -1 (/ z y)))) |
(* -1 (/ (pow z 2) y)) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (/ 1 y))) |
(* -1 (/ (pow z 2) y)) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (/ 1 y))) |
(* -1 (/ (pow z 2) y)) |
(+ (* -1 (/ (* x z) y)) (* -1 (/ (pow z 2) y))) |
(+ (* -1 (/ (* x z) y)) (* -1 (/ (pow z 2) y))) |
(+ (* -1 (/ (* x z) y)) (* -1 (/ (pow z 2) y))) |
(* -1 (/ (* x z) y)) |
(* x (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y))))) |
(* x (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y))))) |
(* x (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y))))) |
(* -1 (/ (* x z) y)) |
(* -1 (* x (+ (/ z y) (/ (pow z 2) (* x y))))) |
(* -1 (* x (+ (/ z y) (/ (pow z 2) (* x y))))) |
(* -1 (* x (+ (/ z y) (/ (pow z 2) (* x y))))) |
(* -1 (/ (* z (+ x z)) y)) |
(* -1 (/ (* z (+ x z)) y)) |
(* -1 (/ (* z (+ x z)) y)) |
(* -1 (/ (* z (+ x z)) y)) |
(* -1 (/ (* z (+ x z)) y)) |
(* -1 (/ (* z (+ x z)) y)) |
(* -1 (/ (* z (+ x z)) y)) |
(* -1 (/ (* z (+ x z)) y)) |
(* -1 (/ (* z (+ x z)) y)) |
(* -1 (/ (* z (+ x z)) y)) |
(* -1 (/ (* z (+ x z)) y)) |
(* -1 (/ (* z (+ x z)) y)) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (* -1 z))) |
(* z (+ (* -1 x) (* -1 z))) |
(* z (+ (* -1 x) (* -1 z))) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (* -1 (/ x z)) 1)) |
(* (pow z 2) (- (* -1 (/ x z)) 1)) |
(* (pow z 2) (- (* -1 (/ x z)) 1)) |
(* -1 (pow z 2)) |
(* (pow z 2) (- (* -1 (/ x z)) 1)) |
(* (pow z 2) (- (* -1 (/ x z)) 1)) |
(* (pow z 2) (- (* -1 (/ x z)) 1)) |
(* -1 (pow z 2)) |
(+ (* -1 (* x z)) (* -1 (pow z 2))) |
(+ (* -1 (* x z)) (* -1 (pow z 2))) |
(+ (* -1 (* x z)) (* -1 (pow z 2))) |
(* -1 (* x z)) |
(* x (+ (* -1 z) (* -1 (/ (pow z 2) x)))) |
(* x (+ (* -1 z) (* -1 (/ (pow z 2) x)))) |
(* x (+ (* -1 z) (* -1 (/ (pow z 2) x)))) |
(* -1 (* x z)) |
(* -1 (* x (+ z (/ (pow z 2) x)))) |
(* -1 (* x (+ z (/ (pow z 2) x)))) |
(* -1 (* x (+ z (/ (pow z 2) x)))) |
(* -1 z) |
(- (* -1 x) z) |
(- (* -1 x) z) |
(- (* -1 x) z) |
(* -1 x) |
(* x (- (* -1 (/ z x)) 1)) |
(* x (- (* -1 (/ z x)) 1)) |
(* x (- (* -1 (/ z x)) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (/ z x)))) |
(* -1 (* x (+ 1 (/ z x)))) |
(* -1 (* x (+ 1 (/ z x)))) |
(* -1 x) |
(- (* -1 z) x) |
(- (* -1 z) x) |
(- (* -1 z) x) |
(* -1 z) |
(* z (- (* -1 (/ x z)) 1)) |
(* z (- (* -1 (/ x z)) 1)) |
(* z (- (* -1 (/ x z)) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (/ x z)))) |
(* -1 (* z (+ 1 (/ x z)))) |
(* -1 (* z (+ 1 (/ x z)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
(/ x (- 1 (/ y z))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/ x (- 1 (/ y z))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/ x (- 1 (/ y z))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/ x (- 1 (/ y z))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/ x (- 1 (/ y z))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/ x (- 1 (/ y z))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/ x (- 1 (/ y z))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/ x (- 1 (/ y z))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/ x (- 1 (/ y z))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/ x (- 1 (/ y z))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/ x (- 1 (/ y z))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/ x (- 1 (/ y z))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 x (/.f64 y z) x) |
(+ x (* y (- (/ (* x y) (pow z 2)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y z) y) x) |
(+ x (* y (- (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (* -1 (/ x z))))) |
(fma.f64 y (fma.f64 y (*.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x z)) x) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y) |
(/.f64 (*.f64 x (fma.f64 z (/.f64 z y) z)) (neg.f64 y)) |
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 3)) (pow y 2)))) (/ (* x (pow z 2)) y)) y) |
(/.f64 (*.f64 x (-.f64 (neg.f64 z) (*.f64 (/.f64 z y) (fma.f64 z (/.f64 z y) z)))) 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) |
(/.f64 (fma.f64 x z (/.f64 (fma.f64 x (*.f64 z z) (/.f64 (*.f64 x (fma.f64 z (*.f64 z z) (/.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)) y)) (neg.f64 y)) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y)) |
(/.f64 (*.f64 x (fma.f64 z (/.f64 z y) z)) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow z 3)) y)) (* x (pow z 2))) y)) (* x z)) y)) |
(/.f64 (*.f64 x (-.f64 (neg.f64 z) (*.f64 (/.f64 z y) (fma.f64 z (/.f64 z y) z)))) y) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 4)) y) (* -1 (* x (pow z 3)))) y)) (* x (pow z 2))) y)) (* x z)) y)) |
(/.f64 (fma.f64 x z (/.f64 (fma.f64 x (*.f64 z z) (/.f64 (*.f64 x (fma.f64 z (*.f64 z z) (/.f64 (pow.f64 z #s(literal 4 binary64)) y))) y)) y)) (neg.f64 y)) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) |
(/.f64 (*.f64 x (fma.f64 z (/.f64 z y) z)) (neg.f64 y)) |
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) |
(*.f64 z (-.f64 (/.f64 (neg.f64 x) y) (*.f64 (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (*.f64 y y))) z))) |
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))) |
(*.f64 z (fma.f64 z (-.f64 (/.f64 (*.f64 x (*.f64 z z)) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (*.f64 y y)))) (/.f64 (neg.f64 x) y))) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 x (/.f64 y z) x) |
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) |
(fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y z) y) x) |
(- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2))))) |
(fma.f64 y (fma.f64 y (*.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x z)) x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 x (/.f64 y z) x) |
(+ x (* -1 (/ (- (* -1 (/ (* x (pow y 2)) z)) (* x y)) z))) |
(fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y z) y) x) |
(+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) z) (* -1 (* x (pow y 2)))) z)) (* x y)) z))) |
(fma.f64 y (fma.f64 y (*.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x z)) 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) |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
y |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
(* y (+ 1 (/ x y))) |
(+.f64 x y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 x y) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
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 y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* z (- (* -1 (/ x y)) 1)) |
(neg.f64 (fma.f64 x (/.f64 z y) z)) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) |
(* -1 (/ (pow z 2) y)) |
(/.f64 (*.f64 z (neg.f64 z)) y) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(fma.f64 z (/.f64 (-.f64 (neg.f64 z) x) y) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(fma.f64 z (/.f64 (-.f64 (neg.f64 z) x) y) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(fma.f64 z (/.f64 (-.f64 (neg.f64 z) x) y) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
(* -1 (/ (pow z 2) y)) |
(/.f64 (*.f64 z (neg.f64 z)) y) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(fma.f64 z (/.f64 (-.f64 (neg.f64 z) x) y) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(fma.f64 z (/.f64 (-.f64 (neg.f64 z) x) y) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(fma.f64 z (/.f64 (-.f64 (neg.f64 z) x) y) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z))) |
(- (* -1 (/ (pow z 2) y)) z) |
(neg.f64 (fma.f64 z (/.f64 z y) z)) |
(- (+ (* -1 (/ (* x z) y)) (* -1 (/ (pow z 2) y))) z) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) |
(- (+ (* -1 (/ (* x z) y)) (* -1 (/ (pow z 2) y))) z) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) |
(- (+ (* -1 (/ (* x z) y)) (* -1 (/ (pow z 2) y))) z) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* x (- (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))) (/ z x))) |
(*.f64 (+.f64 (/.f64 z y) (/.f64 (fma.f64 z (/.f64 z y) z) x)) (neg.f64 x)) |
(* x (- (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))) (/ z x))) |
(*.f64 (+.f64 (/.f64 z y) (/.f64 (fma.f64 z (/.f64 z y) z) x)) (neg.f64 x)) |
(* x (- (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))) (/ z x))) |
(*.f64 (+.f64 (/.f64 z y) (/.f64 (fma.f64 z (/.f64 z y) z) x)) (neg.f64 x)) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) |
(*.f64 (+.f64 (/.f64 z y) (/.f64 (fma.f64 z (/.f64 z y) z) x)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) |
(*.f64 (+.f64 (/.f64 z y) (/.f64 (fma.f64 z (/.f64 z y) z) x)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) |
(*.f64 (+.f64 (/.f64 z y) (/.f64 (fma.f64 z (/.f64 z y) z) x)) (neg.f64 x)) |
(* -1 (/ (* z (+ x z)) y)) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(/ (+ (* -1 (* y z)) (* -1 (* z (+ x z)))) y) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y (+.f64 x z))) y)) |
(/ (+ (* -1 (* y z)) (* -1 (* z (+ x z)))) y) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y (+.f64 x z))) y)) |
(/ (+ (* -1 (* y z)) (* -1 (* z (+ x z)))) y) |
(neg.f64 (/.f64 (*.f64 z (+.f64 y (+.f64 x z))) y)) |
(* -1 z) |
(neg.f64 z) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) |
(* -1 z) |
(neg.f64 z) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* z (+ (* -1 (/ x y)) (* -1 (/ z y)))) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* z (+ (* -1 (/ x y)) (* -1 (/ z y)))) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* z (+ (* -1 (/ x y)) (* -1 (/ z y)))) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* -1 (/ (pow z 2) y)) |
(/.f64 (*.f64 z (neg.f64 z)) y) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (/ 1 y))) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (/ 1 y))) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (/ 1 y))) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* -1 (/ (pow z 2) y)) |
(/.f64 (*.f64 z (neg.f64 z)) y) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (/ 1 y))) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (/ 1 y))) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (/ 1 y))) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* -1 (/ (pow z 2) y)) |
(/.f64 (*.f64 z (neg.f64 z)) y) |
(+ (* -1 (/ (* x z) y)) (* -1 (/ (pow z 2) y))) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(+ (* -1 (/ (* x z) y)) (* -1 (/ (pow z 2) y))) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(+ (* -1 (/ (* x z) y)) (* -1 (/ (pow z 2) y))) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* x (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y))))) |
(*.f64 x (*.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(* x (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y))))) |
(*.f64 x (*.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(* x (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y))))) |
(*.f64 x (*.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(* -1 (* x (+ (/ z y) (/ (pow z 2) (* x y))))) |
(*.f64 x (*.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(* -1 (* x (+ (/ z y) (/ (pow z 2) (* x y))))) |
(*.f64 x (*.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(* -1 (* x (+ (/ z y) (/ (pow z 2) (* x y))))) |
(*.f64 x (*.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(* -1 (/ (* z (+ x z)) y)) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* -1 (/ (* z (+ x z)) y)) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* -1 (/ (* z (+ x z)) y)) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* -1 (/ (* z (+ x z)) y)) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* -1 (/ (* z (+ x z)) y)) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* -1 (/ (* z (+ x z)) y)) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* -1 (/ (* z (+ x z)) y)) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* -1 (/ (* z (+ x z)) y)) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* -1 (/ (* z (+ x z)) y)) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* -1 (/ (* z (+ x z)) y)) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* -1 (/ (* z (+ x z)) y)) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* -1 (/ (* z (+ x z)) y)) |
(/.f64 (*.f64 z (+.f64 x z)) (neg.f64 y)) |
(* -1 (* x z)) |
(*.f64 z (neg.f64 x)) |
(* z (+ (* -1 x) (* -1 z))) |
(*.f64 z (-.f64 (neg.f64 z) x)) |
(* z (+ (* -1 x) (* -1 z))) |
(*.f64 z (-.f64 (neg.f64 z) x)) |
(* z (+ (* -1 x) (* -1 z))) |
(*.f64 z (-.f64 (neg.f64 z) x)) |
(* -1 (pow z 2)) |
(*.f64 z (neg.f64 z)) |
(* (pow z 2) (- (* -1 (/ x z)) 1)) |
(*.f64 z (-.f64 (neg.f64 z) x)) |
(* (pow z 2) (- (* -1 (/ x z)) 1)) |
(*.f64 z (-.f64 (neg.f64 z) x)) |
(* (pow z 2) (- (* -1 (/ x z)) 1)) |
(*.f64 z (-.f64 (neg.f64 z) x)) |
(* -1 (pow z 2)) |
(*.f64 z (neg.f64 z)) |
(* (pow z 2) (- (* -1 (/ x z)) 1)) |
(*.f64 z (-.f64 (neg.f64 z) x)) |
(* (pow z 2) (- (* -1 (/ x z)) 1)) |
(*.f64 z (-.f64 (neg.f64 z) x)) |
(* (pow z 2) (- (* -1 (/ x z)) 1)) |
(*.f64 z (-.f64 (neg.f64 z) x)) |
(* -1 (pow z 2)) |
(*.f64 z (neg.f64 z)) |
(+ (* -1 (* x z)) (* -1 (pow z 2))) |
(*.f64 z (-.f64 (neg.f64 z) x)) |
(+ (* -1 (* x z)) (* -1 (pow z 2))) |
(*.f64 z (-.f64 (neg.f64 z) x)) |
(+ (* -1 (* x z)) (* -1 (pow z 2))) |
(*.f64 z (-.f64 (neg.f64 z) x)) |
(* -1 (* x z)) |
(*.f64 z (neg.f64 x)) |
(* x (+ (* -1 z) (* -1 (/ (pow z 2) x)))) |
(*.f64 x (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(* x (+ (* -1 z) (* -1 (/ (pow z 2) x)))) |
(*.f64 x (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(* x (+ (* -1 z) (* -1 (/ (pow z 2) x)))) |
(*.f64 x (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(* -1 (* x z)) |
(*.f64 z (neg.f64 x)) |
(* -1 (* x (+ z (/ (pow z 2) x)))) |
(*.f64 x (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(* -1 (* x (+ z (/ (pow z 2) x)))) |
(*.f64 x (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(* -1 (* x (+ z (/ (pow z 2) x)))) |
(*.f64 x (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 z x)))) |
(* -1 z) |
(neg.f64 z) |
(- (* -1 x) z) |
(-.f64 (neg.f64 z) x) |
(- (* -1 x) z) |
(-.f64 (neg.f64 z) x) |
(- (* -1 x) z) |
(-.f64 (neg.f64 z) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1 (/ z x)) 1)) |
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(* x (- (* -1 (/ z x)) 1)) |
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(* x (- (* -1 (/ z x)) 1)) |
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ z x)))) |
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(* -1 (* x (+ 1 (/ z x)))) |
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(* -1 (* x (+ 1 (/ z x)))) |
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 z x))) |
(* -1 x) |
(neg.f64 x) |
(- (* -1 z) x) |
(-.f64 (neg.f64 z) x) |
(- (* -1 z) x) |
(-.f64 (neg.f64 z) x) |
(- (* -1 z) x) |
(-.f64 (neg.f64 z) x) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* -1 (/ x z)) 1)) |
(-.f64 (neg.f64 z) x) |
(* z (- (* -1 (/ x z)) 1)) |
(-.f64 (neg.f64 z) x) |
(* z (- (* -1 (/ x z)) 1)) |
(-.f64 (neg.f64 z) x) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (/ x z)))) |
(-.f64 (neg.f64 z) x) |
(* -1 (* z (+ 1 (/ x z)))) |
(-.f64 (neg.f64 z) x) |
(* -1 (* z (+ 1 (/ x z)))) |
(-.f64 (neg.f64 z) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
Compiled 13 311 to 1 700 computations (87.2% saved)
27 alts after pruning (16 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 929 | 9 | 938 |
| Fresh | 3 | 7 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 8 | 8 |
| Total | 934 | 27 | 961 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 21.7% | (fma.f64 y (/.f64 y z) y) |
| ✓ | 42.0% | (fma.f64 y (/.f64 x y) y) |
| 32.2% | (fma.f64 x (/.f64 y z) x) | |
| 26.4% | (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) y) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 z x))) (*.f64 (+.f64 #s(literal 0 binary64) z) y)) | |
| 36.5% | (/.f64 (+.f64 x y) (/.f64 y (neg.f64 z))) | |
| ✓ | 87.4% | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 17.4% | (/.f64 (*.f64 z (neg.f64 x)) y) | |
| 36.2% | (/.f64 (*.f64 z x) (-.f64 z y)) | |
| 16.7% | (/.f64 (*.f64 y z) z) | |
| 2.5% | (/.f64 (*.f64 y y) z) | |
| 17.0% | (/.f64 (neg.f64 z) (/.f64 y x)) | |
| 17.3% | (/.f64 x (/.f64 y (neg.f64 z))) | |
| ✓ | 87.3% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) |
| 21.4% | (-.f64 y x) | |
| ✓ | 52.6% | (+.f64 y x) |
| 18.0% | (*.f64 (/.f64 z (neg.f64 y)) x) | |
| 3.7% | (*.f64 (/.f64 z y) x) | |
| ✓ | 50.7% | (*.f64 (/.f64 y (-.f64 z y)) z) |
| ✓ | 19.7% | (*.f64 (/.f64 y z) z) |
| ✓ | 43.6% | (*.f64 (/.f64 x (-.f64 z y)) z) |
| ✓ | 17.0% | (*.f64 (/.f64 x (neg.f64 y)) z) |
| 20.9% | (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (*.f64 (/.f64 y (neg.f64 z)) (-.f64 x y)))) | |
| 42.6% | (*.f64 y (/.f64 z (-.f64 z y))) | |
| 47.7% | (neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) | |
| ✓ | 47.1% | (neg.f64 (fma.f64 z (/.f64 x y) z)) |
| ✓ | 33.7% | (neg.f64 z) |
| 22.2% | y |
Compiled 570 to 260 computations (54.4% saved)
| Inputs |
|---|
y |
(neg.f64 z) |
(+.f64 y x) |
(-.f64 y x) |
(*.f64 (/.f64 y z) z) |
(*.f64 (/.f64 z y) x) |
(/.f64 (*.f64 y y) z) |
(/.f64 (*.f64 y z) z) |
(fma.f64 x (/.f64 y z) x) |
(fma.f64 y (/.f64 x y) y) |
(fma.f64 y (/.f64 y z) y) |
(neg.f64 (/.f64 (*.f64 x z) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(*.f64 x (/.f64 z (neg.f64 y))) |
(*.f64 (/.f64 x (neg.f64 y)) z) |
(*.f64 (/.f64 z (neg.f64 y)) x) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(*.f64 y (/.f64 z (-.f64 z y))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(*.f64 (/.f64 y (-.f64 z y)) z) |
(/.f64 (*.f64 z x) (-.f64 z y)) |
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) |
(+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y)) |
(-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z) |
(/.f64 x (/.f64 y (neg.f64 z))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 z (/.f64 (-.f64 z y) x)) |
(/.f64 (+.f64 x y) (/.f64 y (neg.f64 z))) |
(/.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)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) |
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (*.f64 (/.f64 y (neg.f64 z)) (-.f64 x y)))) |
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)))) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z (+.f64 x (/.f64 (*.f64 z (+.f64 z x)) y)))) y)) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) y) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 z x))) (*.f64 (+.f64 #s(literal 0 binary64) z) y)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
4 calls:
| 31.0ms | x |
| 13.0ms | z |
| 12.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.4% | 1 | x |
| 96.4% | 3 | y |
| 93.2% | 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 |
|---|
y |
(neg.f64 z) |
(+.f64 y x) |
(-.f64 y x) |
(*.f64 (/.f64 y z) z) |
(*.f64 (/.f64 z y) x) |
(/.f64 (*.f64 y y) z) |
(/.f64 (*.f64 y z) z) |
(fma.f64 x (/.f64 y z) x) |
(fma.f64 y (/.f64 x y) y) |
(fma.f64 y (/.f64 y z) y) |
(neg.f64 (/.f64 (*.f64 x z) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(*.f64 x (/.f64 z (neg.f64 y))) |
(*.f64 (/.f64 x (neg.f64 y)) z) |
(*.f64 (/.f64 z (neg.f64 y)) x) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(*.f64 y (/.f64 z (-.f64 z y))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(*.f64 (/.f64 y (-.f64 z y)) z) |
(/.f64 (*.f64 z x) (-.f64 z y)) |
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) |
(+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y)) |
(-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z) |
(/.f64 x (/.f64 y (neg.f64 z))) |
(/.f64 (neg.f64 z) (/.f64 y x)) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 z (/.f64 (-.f64 z y) x)) |
(/.f64 (+.f64 x y) (/.f64 y (neg.f64 z))) |
| Outputs |
|---|
(+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) |
(+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) |
4 calls:
| 44.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 11.0ms | z |
| 9.0ms | y |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 3 | x |
| 79.9% | 3 | z |
| 76.1% | 3 | y |
| 72.4% | 4 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
y |
(neg.f64 z) |
(+.f64 y x) |
(-.f64 y x) |
(*.f64 (/.f64 y z) z) |
(*.f64 (/.f64 z y) x) |
(/.f64 (*.f64 y y) z) |
(/.f64 (*.f64 y z) z) |
(fma.f64 x (/.f64 y z) x) |
(fma.f64 y (/.f64 x y) y) |
(fma.f64 y (/.f64 y z) y) |
(neg.f64 (/.f64 (*.f64 x z) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(*.f64 x (/.f64 z (neg.f64 y))) |
(*.f64 (/.f64 x (neg.f64 y)) z) |
(*.f64 (/.f64 z (neg.f64 y)) x) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(*.f64 y (/.f64 z (-.f64 z y))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(*.f64 (/.f64 y (-.f64 z y)) z) |
(/.f64 (*.f64 z x) (-.f64 z y)) |
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) |
| Outputs |
|---|
(+.f64 y x) |
(neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) |
(+.f64 y x) |
1 calls:
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.8% | 3 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
y |
(neg.f64 z) |
(+.f64 y x) |
(-.f64 y x) |
(*.f64 (/.f64 y z) z) |
(*.f64 (/.f64 z y) x) |
(/.f64 (*.f64 y y) z) |
(/.f64 (*.f64 y z) z) |
(fma.f64 x (/.f64 y z) x) |
(fma.f64 y (/.f64 x y) y) |
(fma.f64 y (/.f64 y z) y) |
(neg.f64 (/.f64 (*.f64 x z) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(*.f64 x (/.f64 z (neg.f64 y))) |
(*.f64 (/.f64 x (neg.f64 y)) z) |
(*.f64 (/.f64 z (neg.f64 y)) x) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(*.f64 y (/.f64 z (-.f64 z y))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(*.f64 (/.f64 y (-.f64 z y)) z) |
(/.f64 (*.f64 z x) (-.f64 z y)) |
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x) |
| Outputs |
|---|
(+.f64 y x) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(+.f64 y x) |
1 calls:
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.8% | 3 | z |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
y |
(neg.f64 z) |
(+.f64 y x) |
(-.f64 y x) |
(*.f64 (/.f64 y z) z) |
(*.f64 (/.f64 z y) x) |
(/.f64 (*.f64 y y) z) |
(/.f64 (*.f64 y z) z) |
(fma.f64 x (/.f64 y z) x) |
(fma.f64 y (/.f64 x y) y) |
(fma.f64 y (/.f64 y z) y) |
(neg.f64 (/.f64 (*.f64 x z) y)) |
(neg.f64 (/.f64 (*.f64 z x) y)) |
(*.f64 x (/.f64 z (neg.f64 y))) |
(*.f64 (/.f64 x (neg.f64 y)) z) |
(*.f64 (/.f64 z (neg.f64 y)) x) |
(/.f64 (*.f64 z (neg.f64 x)) y) |
| Outputs |
|---|
(neg.f64 z) |
(+.f64 y x) |
(neg.f64 z) |
3 calls:
| 5.0ms | z |
| 5.0ms | x |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.1% | 3 | y |
| 52.6% | 1 | x |
| 72.5% | 6 | z |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
y |
(neg.f64 z) |
| Outputs |
|---|
y |
(neg.f64 z) |
y |
4 calls:
| 2.0ms | y |
| 2.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.7% | 1 | x |
| 46.0% | 3 | z |
| 38.7% | 2 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 42.2% | 3 | y |
Compiled 24 to 17 computations (29.2% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
y |
| Outputs |
|---|
y |
4 calls:
| 1.0ms | x |
| 1.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 1.0ms | z |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 22.2% | 1 | x |
| 22.2% | 1 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 22.2% | 1 | y |
| 22.2% | 1 | z |
Compiled 24 to 17 computations (29.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 2.1450304321580924e-301 |
| 0.0ms | -2.729964342545182e-265 | -4.320425345550535e-291 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 3.107097265664168e+34 | 1.4368500715154646e+42 |
| 14.0ms | -988678680.8442941 | -0.025045495394945147 |
| 15.0ms | 304× | 0 | valid |
Compiled 528 to 318 computations (39.8% saved)
ival-div: 4.0ms (52.3% of total)ival-add: 2.0ms (26.1% of total)ival-sub: 1.0ms (13.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.107097265664168e+34 | 1.4368500715154646e+42 |
| 6.0ms | -988678680.8442941 | -0.025045495394945147 |
| 3.0ms | 64× | 0 | valid |
Compiled 395 to 261 computations (33.9% saved)
ival-div: 1.0ms (64.1% 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 |
|---|---|---|
| 0.0ms | 3.107097265664168e+34 | 1.4368500715154646e+42 |
| 1.0ms | -988678680.8442941 | -0.025045495394945147 |
Compiled 357 to 242 computations (32.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 8.671303938472078e+136 | 8.27624437648983e+145 |
| 13.0ms | -3.826549657990722e+103 | -1.9197875323993174e+87 |
| 14.0ms | 304× | 0 | valid |
Compiled 262 to 204 computations (22.1% saved)
ival-div: 4.0ms (53.3% of total)ival-add: 2.0ms (26.6% of total)ival-sub: 1.0ms (13.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 4.267609277176373e+137 | 4.78576100078701e+137 |
| 13.0ms | -988678680.8442941 | -0.025045495394945147 |
| 10.0ms | 176× | 0 | valid |
Compiled 147 to 122 computations (17% saved)
ival-div: 2.0ms (44.5% of total)ival-sub: 1.0ms (22.3% of total)ival-add: 1.0ms (22.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 18× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 10× | *-commutative_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 158 |
| 1 | 63 | 158 |
| 2 | 75 | 158 |
| 3 | 82 | 158 |
| 4 | 85 | 158 |
| 5 | 86 | 158 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -7260824748426675/36304123742133375556593322708737806643829594767075060035541305159080582450205184901005085803128817153071257905034008131114613897596311174506612074733945181293529561534361813328678867427595159591558574115780064384913763396164010744339772923348355910229786257457376560371673958711296 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)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(if (<=.f64 z #s(literal -92 binary64)) (+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) (if (<=.f64 z #s(literal 91999999999999992687078241594245120 binary64)) (neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) (+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)))) |
(if (<=.f64 z #s(literal -74 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 91999999999999992687078241594245120 binary64)) (neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) (+.f64 y x))) |
(if (<=.f64 z #s(literal -92 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 91999999999999992687078241594245120 binary64)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (+.f64 y x))) |
(if (<=.f64 y #s(literal -960000000000000019410123962069709109033052470285783431492265781959683844798237736984349914431488 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 125000000000000004105195311150615759873376570794951461939039178282343375862348499443000164453465926585493688098040304447331061329276436480 binary64)) (+.f64 y x) (neg.f64 z))) |
(if (<=.f64 z #s(literal -950000000 binary64)) y (if (<=.f64 z #s(literal 459999999999999998580719525278051022536143079706145384225547101971993141057222596090095824280970964204886511207906199176398005066153328640 binary64)) (neg.f64 z) y)) |
y |
| Outputs |
|---|
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -7260824748426675/36304123742133375556593322708737806643829594767075060035541305159080582450205184901005085803128817153071257905034008131114613897596311174506612074733945181293529561534361813328678867427595159591558574115780064384913763396164010744339772923348355910229786257457376560371673958711296 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)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(if (<=.f64 z #s(literal -92 binary64)) (+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) (if (<=.f64 z #s(literal 91999999999999992687078241594245120 binary64)) (neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) (+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)))) |
(if (<=.f64 z #s(literal -92 binary64)) (+.f64 y (fma.f64 (/.f64 y z) (+.f64 x y) x)) (if (<=.f64 z #s(literal 91999999999999992687078241594245120 binary64)) (neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) (+.f64 y (fma.f64 (/.f64 y z) (+.f64 x y) x)))) |
(if (<=.f64 z #s(literal -74 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 91999999999999992687078241594245120 binary64)) (neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) (+.f64 y x))) |
(if (<=.f64 z #s(literal -74 binary64)) (+.f64 x y) (if (<=.f64 z #s(literal 91999999999999992687078241594245120 binary64)) (neg.f64 (fma.f64 (/.f64 z y) (+.f64 x z) z)) (+.f64 x y))) |
(if (<=.f64 z #s(literal -92 binary64)) (+.f64 y x) (if (<=.f64 z #s(literal 91999999999999992687078241594245120 binary64)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (+.f64 y x))) |
(if (<=.f64 z #s(literal -92 binary64)) (+.f64 x y) (if (<=.f64 z #s(literal 91999999999999992687078241594245120 binary64)) (neg.f64 (fma.f64 z (/.f64 x y) z)) (+.f64 x y))) |
(if (<=.f64 y #s(literal -960000000000000019410123962069709109033052470285783431492265781959683844798237736984349914431488 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 125000000000000004105195311150615759873376570794951461939039178282343375862348499443000164453465926585493688098040304447331061329276436480 binary64)) (+.f64 y x) (neg.f64 z))) |
(if (<=.f64 y #s(literal -960000000000000019410123962069709109033052470285783431492265781959683844798237736984349914431488 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 125000000000000004105195311150615759873376570794951461939039178282343375862348499443000164453465926585493688098040304447331061329276436480 binary64)) (+.f64 x y) (neg.f64 z))) |
(if (<=.f64 z #s(literal -950000000 binary64)) y (if (<=.f64 z #s(literal 459999999999999998580719525278051022536143079706145384225547101971993141057222596090095824280970964204886511207906199176398005066153328640 binary64)) (neg.f64 z) y)) |
y |
| 17 244× | lower-fma.f64 |
| 17 244× | lower-fma.f32 |
| 9 416× | lower-fma.f64 |
| 9 416× | lower-fma.f32 |
| 8 632× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 560 | 3996 |
| 1 | 1792 | 3865 |
| 2 | 5419 | 3736 |
| 0 | 8311 | 3556 |
| 0 | 8 | 20 |
| 0 | 12 | 20 |
| 1 | 56 | 20 |
| 2 | 432 | 20 |
| 3 | 7705 | 20 |
| 0 | 8025 | 20 |
| 0 | 181 | 958 |
| 1 | 589 | 915 |
| 2 | 1842 | 852 |
| 3 | 7158 | 833 |
| 0 | 8263 | 790 |
| 0 | 18 | 71 |
| 0 | 33 | 70 |
| 1 | 133 | 70 |
| 2 | 998 | 57 |
| 0 | 9308 | 57 |
| 0 | 226 | 2239 |
| 1 | 714 | 2161 |
| 2 | 1973 | 2047 |
| 3 | 5722 | 2034 |
| 0 | 8143 | 2002 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 292 to 139 computations (52.4% saved)
Compiled 418 to 148 computations (64.6% saved)
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