
Time bar (total: 7.8s)
| 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)
| 621.0ms | 8 256× | 0 | valid |
ival-div: 194.0ms (57.5% of total)ival-sub: 83.0ms (24.6% of total)ival-add: 46.0ms (13.6% of total)ival-true: 6.0ms (1.8% of total)exact: 5.0ms (1.5% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 41 | 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 | 41 | 0 |
| ↳ | (/.f64 y z) | overflow | 41 | |
| ↳ | (-.f64 #s(literal 1 binary64) (/.f64 y z)) | overflow | 41 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 41 | 0 |
| - | 0 | 215 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 41 | 0 | 0 |
| - | 0 | 0 | 215 |
| number | freq |
|---|---|
| 0 | 215 |
| 1 | 41 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 44.0ms | 512× | 0 | valid |
Compiled 64 to 28 computations (56.3% saved)
ival-div: 7.0ms (54.3% of total)ival-add: 3.0ms (23.3% of total)ival-sub: 2.0ms (15.5% 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 |
| 351× | times-frac |
| 253× | div-sub |
| 198× | unsub-neg |
| 191× | distribute-rgt-in |
| 184× | 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))) |
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
Compiled 12 to 8 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 84.8% | (/.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))) |
| 184× | lower-fma.f64 |
| 184× | lower-fma.f32 |
| 120× | lower-*.f64 |
| 120× | lower-*.f32 |
| 96× | 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 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+.f64 x y) |
(+.f64 y x) |
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 | 0 | (/.f64 y z) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (/.f64 y z)) | |
| accuracy | 9.7003977390996 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 25.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-div: 3.0ms (47.9% 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 | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | (+ x y) |
| 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 | y | @ | 0 | (/ (+ x y) (- 1 (/ y z))) |
| 1× | egg-herbie |
| 8 622× | lower-fma.f64 |
| 8 622× | lower-fma.f32 |
| 2 312× | lower-*.f64 |
| 2 312× | lower-*.f32 |
| 1 466× | 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 y (-.f64 z y)) z (*.f64 (/.f64 x (-.f64 z y)) z)) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(fma.f64 (/.f64 y (-.f64 z y)) z (*.f64 (/.f64 x (-.f64 z y)) z)) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(fma.f64 (/.f64 y (-.f64 z y)) z (*.f64 (/.f64 x (-.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 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) x)) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (*.f64 (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) x)) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (*.f64 (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) 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 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) x)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (*.f64 (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) x)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (*.f64 (/.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) x)) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y x) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z) y (+.f64 (/.f64 x z) #s(literal 1 binary64))) y x) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)) y (+.f64 (/.f64 x z) #s(literal 1 binary64))) y x) |
(* -1 z) |
(neg.f64 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) |
(- (+ (* -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 y) (-.f64 (neg.f64 x) 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))) |
(neg.f64 (+.f64 (/.f64 (fma.f64 z (+.f64 x z) (/.f64 (*.f64 (*.f64 z (+.f64 x z)) (fma.f64 (/.f64 z y) z z)) y)) y) z)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(-.f64 (/.f64 (*.f64 z (+.f64 (+.f64 (/.f64 (*.f64 z (+.f64 x z)) y) x) z)) (neg.f64 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))) |
(neg.f64 (+.f64 (/.f64 (fma.f64 z (+.f64 x z) (/.f64 (*.f64 (*.f64 z (+.f64 x z)) (fma.f64 (/.f64 z y) z z)) y)) y) z)) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y))) (fma.f64 (/.f64 x (*.f64 (*.f64 y y) y)) z (/.f64 z (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* 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 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) y))) (fma.f64 (/.f64 x (*.f64 (*.f64 (*.f64 y y) y) y)) z (/.f64 z (*.f64 (*.f64 y y) y)))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(+ x y) |
(+.f64 x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(fma.f64 (/.f64 (+.f64 x y) z) y (+.f64 x y)) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(fma.f64 (/.f64 (+.f64 x y) z) (fma.f64 y (/.f64 y z) y) (+.f64 x y)) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+.f64 (/.f64 (fma.f64 (+.f64 x y) y (/.f64 (*.f64 y (*.f64 (+.f64 x y) (fma.f64 y (/.f64 y z) y))) z)) z) (+.f64 x y)) |
(+ x y) |
(+.f64 x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(fma.f64 (/.f64 (+.f64 x y) z) y (+.f64 x y)) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(fma.f64 (/.f64 (+.f64 x y) z) (fma.f64 y (/.f64 y z) y) (+.f64 x y)) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(+.f64 (/.f64 (fma.f64 (+.f64 x y) y (/.f64 (*.f64 y (*.f64 (+.f64 x y) (fma.f64 y (/.f64 y z) y))) z)) z) (+.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 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
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) |
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 (neg.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)) |
(* y (- (/ 1 y) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* -1 (/ y z)) |
(/.f64 (neg.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 (- (/ 1 z) (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* -1 (/ y z)) |
(/.f64 (neg.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)) |
(/ (- z y) z) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
| 1 775× | lower-*.f64 |
| 1 775× | lower-*.f32 |
| 1 601× | lower-/.f32 |
| 1 599× | lower-/.f64 |
| 1 429× | 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 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x)) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 y x) y) y) (-.f64 y x)) (*.f64 (-.f64 y x) y) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(*.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (*.f64 z z)) y))) (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) (/.f64 y (*.f64 (*.f64 z z) z))))) (neg.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (neg.f64 x) y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))) |
(*.f64 (/.f64 (-.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (/.f64 y (*.f64 (*.f64 z z) z))))) (neg.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (/.f64 y (*.f64 (*.f64 z z) z)))))) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (+.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (+.f64 y x) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (/.f64 y (*.f64 (*.f64 z z) z))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (/.f64 y (*.f64 (*.f64 z z) z))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (+.f64 y x) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 y x) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (/.f64 y (*.f64 (*.f64 z z) z))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (/.f64 y (*.f64 (*.f64 z z) z))))) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (*.f64 z z)) y))) (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 y x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) (/.f64 y (*.f64 (*.f64 z z) z))))) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) (+.f64 y x))) |
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (-.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (+.f64 y x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 (+.f64 y x) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (-.f64 x y))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (/.f64 y (*.f64 (*.f64 z z) z)))))) |
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (+.f64 y x) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(*.f64 (-.f64 (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (-.f64 x y) (-.f64 x y))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(*.f64 (+.f64 y x) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (-.f64 (neg.f64 x) y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (-.f64 x y) (+.f64 y x)))) (-.f64 x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 x) y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (-.f64 x y)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (+.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (-.f64 y x)) |
(/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 x) y) (-.f64 x y)) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (+.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x))) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (/.f64 (+.f64 y x) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (/.f64 y (*.f64 (*.f64 z z) z)) #s(literal 1 binary64))) (fma.f64 (/.f64 y z) (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (+.f64 y x) (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 (+.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (/.f64 y (*.f64 (*.f64 z z) z))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 y (*.f64 z z)) y) (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)))) |
(/.f64 (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (/.f64 y (*.f64 (*.f64 z z) z))))) (fma.f64 (*.f64 (*.f64 (/.f64 y (*.f64 z z)) y) (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64)))) (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) #s(literal 1 binary64))) (fma.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) (-.f64 (*.f64 (+.f64 (/.f64 y z) #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 z) #s(literal 1 binary64))) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (*.f64 (-.f64 (neg.f64 x) y) (-.f64 x y))) (+.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 x x) x)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
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(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 y z) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))) |
Compiled 10 488 to 990 computations (90.6% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 427 | 10 | 437 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 427 | 11 | 438 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 84.8% | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 42.5% | (/.f64 (+.f64 x y) #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z))) | |
| ▶ | 40.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 (+.f64 x y) z) y (+.f64 x y))) |
| ▶ | 54.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) |
| 40.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y x)) | |
| 51.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (*.f64 z (+.f64 (+.f64 (/.f64 (*.f64 z (+.f64 x z)) y) x) z)) (neg.f64 y)) z)) | |
| 42.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) | |
| ▶ | 53.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
| 42.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) | |
| ▶ | 54.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
| ▶ | 40.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
Compiled 252 to 142 computations (43.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 (+.f64 x y) z) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 (+.f64 x y) z) y (+.f64 x y))) | |
| cost-diff | 64 | (fma.f64 (/.f64 (+.f64 x y) z) y (+.f64 x y)) | |
| cost-diff | 0 | (-.f64 z y) | |
| cost-diff | 0 | (/.f64 y (-.f64 z y)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (-.f64 z y)) z) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) (/.f64 x y)) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) | |
| cost-diff | 0 | (-.f64 (neg.f64 x) z) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) | |
| cost-diff | 128 | (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) |
| 2 264× | lower-fma.f32 |
| 2 262× | lower-fma.f64 |
| 784× | lower-*.f32 |
| 782× | lower-*.f64 |
| 416× | div-sub |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 170 |
| 0 | 44 | 170 |
| 1 | 73 | 170 |
| 2 | 138 | 170 |
| 3 | 345 | 166 |
| 4 | 760 | 166 |
| 5 | 1743 | 166 |
| 6 | 3292 | 166 |
| 7 | 4554 | 166 |
| 8 | 5214 | 166 |
| 9 | 5412 | 166 |
| 10 | 5459 | 166 |
| 11 | 5463 | 166 |
| 12 | 5467 | 166 |
| 13 | 5721 | 166 |
| 14 | 5816 | 166 |
| 15 | 5816 | 166 |
| 16 | 5816 | 166 |
| 17 | 5816 | 166 |
| 18 | 5876 | 166 |
| 19 | 5900 | 166 |
| 0 | 5900 | 166 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) |
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) |
(/.f64 z y) |
z |
y |
(-.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
(neg.f64 z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
#s(literal -1 binary64) |
(/.f64 x y) |
x |
y |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
(*.f64 (/.f64 y (-.f64 z y)) z) |
(/.f64 y (-.f64 z y)) |
y |
(-.f64 z y) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 (+.f64 x y) z) y (+.f64 x y))) |
(fma.f64 (/.f64 (+.f64 x y) z) y (+.f64 x y)) |
(/.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z))) |
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) |
(neg.f64 (fma.f64 (+.f64 z x) (/.f64 z y) z)) |
(/.f64 z y) |
z |
y |
(-.f64 (neg.f64 x) z) |
(-.f64 (neg.f64 z) x) |
(neg.f64 x) |
x |
(neg.f64 z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 (/.f64 x y) z z))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(neg.f64 (fma.f64 (/.f64 x y) z z)) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
#s(literal -1 binary64) |
(/.f64 x y) |
x |
y |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) y)) |
(*.f64 (/.f64 y (-.f64 z y)) z) |
(*.f64 (/.f64 z (-.f64 z y)) y) |
(/.f64 y (-.f64 z y)) |
y |
(-.f64 z y) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 (+.f64 x y) z) y (+.f64 x y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 (/.f64 y z) #s(literal -1 binary64)) (+.f64 y x))) |
(fma.f64 (/.f64 (+.f64 x y) z) y (+.f64 x y)) |
(*.f64 (-.f64 (/.f64 y z) #s(literal -1 binary64)) (+.f64 y x)) |
(/.f64 (+.f64 x y) z) |
(/.f64 (+.f64 y x) z) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 x y) z) | |
| accuracy | 2.8853294859328504 | (fma.f64 (/.f64 (+.f64 x y) z) y (+.f64 x y)) | |
| accuracy | 37.13762398759772 | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 (+.f64 x y) z) y (+.f64 x y))) | |
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0.0234375 | (/.f64 y (-.f64 z y)) | |
| accuracy | 5.908870372412669 | (*.f64 (/.f64 y (-.f64 z y)) z) | |
| accuracy | 29.39177511154181 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (-.f64 #s(literal -1 binary64) (/.f64 x y)) | |
| accuracy | 3.364090803107698 | (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) | |
| accuracy | 27.10945294566961 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 38.05424139813025 | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 1.7674025499711339 | (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) | |
| accuracy | 27.170276308412195 | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) |
| 69.0ms | 256× | 0 | valid |
Compiled 133 to 26 computations (80.5% saved)
ival-mult: 29.0ms (53.8% of total)ival-div: 10.0ms (18.6% of total)ival-add: 7.0ms (13% of total)ival-sub: 4.0ms (7.4% of total)ival-neg: 2.0ms (3.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal -1 binary64) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y (-.f64 z y)) z) (patch (*.f64 (/.f64 y (-.f64 z y)) z) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 z y)) (patch (/.f64 y (-.f64 z y)) #<representation binary64>) () ()) |
#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (+.f64 x y) z) y (+.f64 x y)) (patch (fma.f64 (/.f64 (+.f64 x y) z) y (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 (+.f64 x y) z) y (+.f64 x y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 (+.f64 x y) z) y (+.f64 x y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 x y) z) (patch (/.f64 (+.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* z (- (* -1 (/ x y)) 1)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow z 2) y)) (taylor inf z) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) (taylor inf z) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) (taylor inf z) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) (taylor inf z) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow z 2) y)) (taylor -inf z) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) (taylor -inf z) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) (taylor -inf z) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) (taylor -inf z) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x z)) y)) (taylor 0 y) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* y z)) (* -1 (* z (+ x z)))) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* y z)) (* -1 (* z (+ x z)))) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* y z)) (* -1 (* z (+ x z)))) y) (taylor 0 y) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf y) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (* z (+ x z)) y)) z) (taylor inf y) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (* z (+ x z)) y)) z) (taylor inf y) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (* z (+ x z)) y)) z) (taylor inf y) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf y) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (* z (+ x z)) y)) z) (taylor -inf y) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (* z (+ x z)) y)) z) (taylor -inf y) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (* z (+ x z)) y)) z) (taylor -inf y) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (pow z 2) y)) z) (taylor 0 x) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
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#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>) () ())) ()) |
135 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | y | @ | -inf | (/ y (- z y)) |
| 3.0ms | z | @ | 0 | (* (- -1 (/ x y)) z) |
| 2.0ms | y | @ | 0 | (+ (* (/ z y) (- (neg x) z)) (neg z)) |
| 1.0ms | z | @ | 0 | (+ (* (/ z y) (- (neg x) z)) (neg z)) |
| 1.0ms | x | @ | inf | (* (- -1 (/ x y)) z) |
| 1× | egg-herbie |
| 5 096× | lower-fma.f64 |
| 5 096× | lower-fma.f32 |
| 2 273× | lower-*.f64 |
| 2 273× | lower-*.f32 |
| 1 747× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 444 | 6164 |
| 1 | 1449 | 5834 |
| 2 | 4321 | 5529 |
| 0 | 8423 | 5274 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (/ (* 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 (/ (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)))) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* -1 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)))) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(* -1 (/ (* x z) y)) |
(* x (+ (* -1 (/ z x)) (* -1 (/ z y)))) |
(* x (+ (* -1 (/ z x)) (* -1 (/ z y)))) |
(* x (+ (* -1 (/ z x)) (* -1 (/ z y)))) |
(* -1 (/ (* x z) y)) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y) |
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y) |
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(* -1 (* z (+ 1 (/ 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 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
-1 |
(- (* -1 (/ x y)) 1) |
(- (* -1 (/ x y)) 1) |
(- (* -1 (/ x y)) 1) |
(* -1 (/ x y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (/ x y)) |
(/ (- (* -1 y) x) y) |
(/ (- (* -1 y) x) y) |
(/ (- (* -1 y) x) y) |
-1 |
(- (* -1 (/ x y)) 1) |
(- (* -1 (/ x y)) 1) |
(- (* -1 (/ x y)) 1) |
-1 |
(- (* -1 (/ x y)) 1) |
(- (* -1 (/ x y)) 1) |
(- (* -1 (/ x y)) 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) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
y |
(* y (+ 1 (/ y z))) |
(* y (+ 1 (* y (+ (/ 1 z) (/ y (pow z 2)))))) |
(* y (+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z))))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (pow z 2) y))) |
(- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2)))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (pow z 2) y))) |
(+ (* -1 z) (* -1 (/ (+ (/ (pow z 3) y) (pow z 2)) y))) |
(+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (* -1 (pow z 3))) y)) (pow z 2)) y))) |
(* -1 z) |
(* z (- (* -1 (/ z y)) 1)) |
(* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1)) |
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)) |
y |
(+ y (/ (pow y 2) z)) |
(- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z))) |
(- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2))))) |
y |
(+ y (/ (pow y 2) z)) |
(+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) |
(+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) |
(/ y 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))))) |
(+ 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 (* 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 (- 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 z) |
(+ (/ x z) (/ y z)) |
(+ (/ x z) (/ y z)) |
(+ (/ x z) (/ y z)) |
(/ x z) |
(* x (+ (/ 1 z) (/ y (* x z)))) |
(* x (+ (/ 1 z) (/ y (* x z)))) |
(* x (+ (/ 1 z) (/ y (* x z)))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z)))) |
(/ x z) |
(+ (/ x z) (/ y z)) |
(+ (/ x z) (/ y z)) |
(+ (/ x z) (/ y z)) |
(/ y z) |
(* y (+ (/ 1 z) (/ x (* y z)))) |
(* y (+ (/ 1 z) (/ x (* y z)))) |
(* y (+ (/ 1 z) (/ x (* y z)))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z)))) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) 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 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
(* z (- (* -1 (/ x y)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(neg.f64 (fma.f64 (/.f64 (+.f64 x z) y) z z)) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(neg.f64 (fma.f64 (/.f64 (+.f64 x z) y) z z)) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(neg.f64 (fma.f64 (/.f64 (+.f64 x z) y) z z)) |
(* -1 (/ (pow z 2) y)) |
(*.f64 z (/.f64 (neg.f64 z) y)) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 #s(literal 1 binary64) y)) z) z) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 #s(literal 1 binary64) y)) z) z) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 #s(literal 1 binary64) y)) z) z) |
(* -1 (/ (pow z 2) y)) |
(*.f64 z (/.f64 (neg.f64 z) y)) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 #s(literal 1 binary64) y)) z) z) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 #s(literal 1 binary64) y)) z) z) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 #s(literal 1 binary64) y)) z) z) |
(* -1 (/ (* z (+ x z)) y)) |
(/.f64 (*.f64 (-.f64 (neg.f64 z) x) z) y) |
(/ (+ (* -1 (* y z)) (* -1 (* z (+ x z)))) y) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y (+.f64 x z))) y) |
(/ (+ (* -1 (* y z)) (* -1 (* z (+ x z)))) y) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y (+.f64 x z))) y) |
(/ (+ (* -1 (* y z)) (* -1 (* z (+ x z)))) y) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y (+.f64 x z))) y) |
(* -1 z) |
(neg.f64 z) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(neg.f64 (fma.f64 (/.f64 (+.f64 x z) y) z z)) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(neg.f64 (fma.f64 (/.f64 (+.f64 x z) y) z z)) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(neg.f64 (fma.f64 (/.f64 (+.f64 x z) y) z z)) |
(* -1 z) |
(neg.f64 z) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(neg.f64 (fma.f64 (/.f64 (+.f64 x z) y) z z)) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(neg.f64 (fma.f64 (/.f64 (+.f64 x z) y) z z)) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(neg.f64 (fma.f64 (/.f64 (+.f64 x z) y) z z)) |
(- (* -1 (/ (pow z 2) y)) z) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) z) |
(- (+ (* -1 (/ (* x z) y)) (* -1 (/ (pow z 2) y))) z) |
(neg.f64 (fma.f64 (/.f64 (+.f64 x z) y) z z)) |
(- (+ (* -1 (/ (* x z) y)) (* -1 (/ (pow z 2) y))) z) |
(neg.f64 (fma.f64 (/.f64 (+.f64 x z) y) z z)) |
(- (+ (* -1 (/ (* x z) y)) (* -1 (/ (pow z 2) y))) z) |
(neg.f64 (fma.f64 (/.f64 (+.f64 x z) y) z z)) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* x (- (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))) (/ z x))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) z) x) (/.f64 z y)) x) |
(* x (- (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))) (/ z x))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) z) x) (/.f64 z y)) x) |
(* x (- (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))) (/ z x))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) z) x) (/.f64 z y)) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) z) x) (/.f64 z y)) x) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) z) x) (/.f64 z y)) x) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) |
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) z) x) (/.f64 z y)) x) |
(/ y (- 1 (/ y z))) |
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.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 (/.f64 y (fma.f64 (/.f64 (neg.f64 y) z) x x)) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 y (fma.f64 (/.f64 (neg.f64 y) z) x x)) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 y (fma.f64 (/.f64 (neg.f64 y) z) x x)) 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 (/.f64 y (fma.f64 (/.f64 (neg.f64 y) z) x x)) 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 (/.f64 y (fma.f64 (/.f64 (neg.f64 y) z) x x)) 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 (/.f64 y (fma.f64 (/.f64 (neg.f64 y) z) x x)) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 y z) (+.f64 (/.f64 x z) #s(literal 1 binary64))) y x) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 y (*.f64 z z)) (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)) y (+.f64 (/.f64 x z) #s(literal 1 binary64))) y x) |
(* -1 z) |
(neg.f64 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(neg.f64 (fma.f64 (/.f64 (+.f64 x z) y) z z)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(-.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (neg.f64 z) x) z) (*.f64 y y)) z (/.f64 (*.f64 (-.f64 (neg.f64 z) x) z) y)) z) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(-.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (neg.f64 z) x) z) (*.f64 (*.f64 y y) y)) (*.f64 z z) (fma.f64 (/.f64 (*.f64 (-.f64 (neg.f64 z) x) z) (*.f64 y y)) z (/.f64 (*.f64 (-.f64 (neg.f64 z) x) z) y))) z) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(neg.f64 (fma.f64 (/.f64 (+.f64 x z) y) z z)) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(-.f64 (/.f64 (neg.f64 (fma.f64 z (fma.f64 (/.f64 (+.f64 x z) y) z x) (*.f64 z 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 (+.f64 x z) z (/.f64 (fma.f64 (*.f64 (/.f64 (+.f64 x z) y) z) (*.f64 z z) (*.f64 (*.f64 (+.f64 x z) z) z)) y)) (neg.f64 y)) z) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y))) (fma.f64 (/.f64 x (*.f64 (*.f64 y y) y)) z (/.f64 z (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* 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 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) y))) (fma.f64 (/.f64 x (*.f64 (*.f64 (*.f64 y y) y) y)) z (/.f64 z (*.f64 (*.f64 y y) y)))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(fma.f64 (/.f64 (+.f64 y x) z) y (+.f64 y x)) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(+.f64 (+.f64 x (/.f64 (fma.f64 (/.f64 (+.f64 y x) z) (*.f64 y y) (*.f64 (+.f64 y x) y)) z)) y) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+.f64 (+.f64 (fma.f64 (/.f64 (+.f64 y x) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 y y) y) y) (/.f64 (fma.f64 (/.f64 (+.f64 y x) z) (*.f64 y y) (*.f64 (+.f64 y x) y)) z)) x) |
(+ x y) |
(+.f64 y x) |
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(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 2 564× | lower-/.f32 |
| 2 560× | lower-/.f64 |
| 2 500× | lower-*.f32 |
| 2 498× | lower-*.f64 |
| 1 589× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 155 |
| 0 | 44 | 155 |
| 1 | 183 | 155 |
| 2 | 1591 | 155 |
| 0 | 8677 | 155 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) |
(/.f64 z y) |
(-.f64 (neg.f64 x) z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
(neg.f64 z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(/.f64 x y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
(*.f64 (/.f64 y (-.f64 z y)) z) |
(/.f64 y (-.f64 z y)) |
(-.f64 z y) |
(fma.f64 (/.f64 (+.f64 x y) z) y (+.f64 x y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 (+.f64 x y) z) y (+.f64 x y))) |
(/.f64 (+.f64 x y) z) |
(+.f64 x y) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 x) z) z) (*.f64 (-.f64 (neg.f64 x) z) z)) (*.f64 y y)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (neg.f64 x) z) (/.f64 z y) (neg.f64 (neg.f64 z))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (+.f64 x z) (+.f64 x z)) (-.f64 (neg.f64 x) z)) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (/.f64 (*.f64 (-.f64 (neg.f64 x) z) z) y)) (/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 x) z) z) (*.f64 (-.f64 (neg.f64 x) z) z)) (*.f64 y y))))) |
(pow.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 x) z) (/.f64 z y) (neg.f64 (neg.f64 z))) (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 x) z) z) (*.f64 (-.f64 (neg.f64 x) z) z)) (*.f64 y y)) (*.f64 z z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (/.f64 (*.f64 (-.f64 (neg.f64 x) z) z) y)) (/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 x) z) z) (*.f64 (-.f64 (neg.f64 x) z) z)) (*.f64 y y))) (fma.f64 (*.f64 (*.f64 (+.f64 x z) (+.f64 x z)) (-.f64 (neg.f64 x) z)) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 z z) z))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 x z) (+.f64 x z)) (-.f64 (neg.f64 x) z)) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y))) (*.f64 (*.f64 z z) z))) (neg.f64 (fma.f64 (*.f64 (+.f64 x z) (+.f64 x z)) (*.f64 (/.f64 z y) (/.f64 z y)) (fma.f64 z z (*.f64 (/.f64 (*.f64 (-.f64 (neg.f64 x) z) z) y) z))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 x) z) z) (*.f64 (-.f64 (neg.f64 x) z) z)) (*.f64 y y)))) (neg.f64 (-.f64 (neg.f64 z) (/.f64 (*.f64 (-.f64 (neg.f64 x) z) z) y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 x) z) z) (*.f64 (-.f64 (neg.f64 x) z) z)) (*.f64 y y)) (*.f64 z z)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (neg.f64 x) z) (/.f64 z y) (neg.f64 (neg.f64 z)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (+.f64 x z) (+.f64 x z)) (-.f64 (neg.f64 x) z)) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 z z) z)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (/.f64 (*.f64 (-.f64 (neg.f64 x) z) z) y)) (/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 x) z) z) (*.f64 (-.f64 (neg.f64 x) z) z)) (*.f64 y y)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 x) z) z) (*.f64 (-.f64 (neg.f64 x) z) z)) (*.f64 y y)) (fma.f64 (-.f64 (neg.f64 x) z) (/.f64 z y) (neg.f64 (neg.f64 z)))) (*.f64 (fma.f64 (-.f64 (neg.f64 x) z) (/.f64 z y) (neg.f64 (neg.f64 z))) (*.f64 z z))) (*.f64 (fma.f64 (-.f64 (neg.f64 x) z) (/.f64 z y) (neg.f64 (neg.f64 z))) (fma.f64 (-.f64 (neg.f64 x) z) (/.f64 z y) (neg.f64 (neg.f64 z))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 z y)) (+.f64 #s(literal 0 binary64) z) (*.f64 (+.f64 (neg.f64 x) z) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (*.f64 (+.f64 (neg.f64 x) z) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (/.f64 z y)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (+.f64 (neg.f64 x) z) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)))) (*.f64 (+.f64 (neg.f64 x) z) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 z z) z)) (/.f64 z y)) (+.f64 #s(literal 0 binary64) z) (*.f64 (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (*.f64 (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 z z) z)) (/.f64 z y)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)))) (*.f64 (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) z)) (+.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 y z) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (*.f64 (/.f64 y z) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (/.f64 y z) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)))) (*.f64 (/.f64 y z) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) (-.f64 (neg.f64 x) z)) (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (*.f64 (neg.f64 y) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) (-.f64 (neg.f64 x) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)))) (*.f64 (neg.f64 y) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (neg.f64 x) z) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 y z) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (*.f64 (/.f64 y z) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (neg.f64 x) z) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (/.f64 y z) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)))) (*.f64 (/.f64 y z) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (fma.f64 (*.f64 (/.f64 z y) (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 #s(literal 0 binary64) z) (*.f64 (+.f64 (neg.f64 x) z) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (*.f64 (+.f64 (neg.f64 x) z) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (fma.f64 (*.f64 (/.f64 z y) (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (+.f64 (neg.f64 x) z) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)))) (*.f64 (+.f64 (neg.f64 x) z) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (fma.f64 (*.f64 (/.f64 z y) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 z z) z))) (+.f64 #s(literal 0 binary64) z) (*.f64 (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (*.f64 (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (fma.f64 (*.f64 (/.f64 z y) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 z z) z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)))) (*.f64 (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (neg.f64 x) z) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (*.f64 (neg.f64 y) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (neg.f64 x) z) (neg.f64 z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)))) (*.f64 (neg.f64 y) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 x) z) z)) (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (*.f64 (neg.f64 y) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 x) z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (neg.f64 y) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)))) (*.f64 (neg.f64 y) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) z) (*.f64 (*.f64 (+.f64 (neg.f64 x) z) (/.f64 y z)) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (*.f64 (*.f64 (+.f64 (neg.f64 x) z) (/.f64 y z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (*.f64 (+.f64 (neg.f64 x) z) (/.f64 y z)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)))) (*.f64 (*.f64 (+.f64 (neg.f64 x) z) (/.f64 y z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z) (*.f64 (*.f64 (+.f64 (neg.f64 x) z) (neg.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (*.f64 (*.f64 (+.f64 (neg.f64 x) z) (neg.f64 y)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (*.f64 (+.f64 (neg.f64 x) z) (neg.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)))) (*.f64 (*.f64 (+.f64 (neg.f64 x) z) (neg.f64 y)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) z) (+.f64 #s(literal 0 binary64) z) (*.f64 (*.f64 (+.f64 (neg.f64 x) z) y) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (*.f64 (*.f64 (+.f64 (neg.f64 x) z) y) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 z z)) z) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (*.f64 (+.f64 (neg.f64 x) z) y) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)))) (*.f64 (*.f64 (+.f64 (neg.f64 x) z) y) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 z z) z)) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) z) (*.f64 (*.f64 (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x)) (/.f64 y z)) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (*.f64 (*.f64 (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x)) (/.f64 y z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 z z) z)) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (*.f64 (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x)) (/.f64 y z)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)))) (*.f64 (*.f64 (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x)) (/.f64 y z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 z z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) z) (*.f64 (*.f64 (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x)) (neg.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (*.f64 (*.f64 (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 z z) z)) (neg.f64 z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (*.f64 (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x)) (neg.f64 y)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)))) (*.f64 (*.f64 (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 z z) z)) z) (+.f64 #s(literal 0 binary64) z) (*.f64 (*.f64 (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x)) y) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (*.f64 (*.f64 (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x)) y) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 z z) z)) z) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (*.f64 (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x)) y) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)))) (*.f64 (*.f64 (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x)) y) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 #s(literal 0 binary64) z) (*.f64 (*.f64 (/.f64 y z) (+.f64 (neg.f64 x) z)) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (*.f64 (*.f64 (/.f64 y z) (+.f64 (neg.f64 x) z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (*.f64 (/.f64 y z) (+.f64 (neg.f64 x) z)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)))) (*.f64 (*.f64 (/.f64 y z) (+.f64 (neg.f64 x) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 z z) z))) (+.f64 #s(literal 0 binary64) z) (*.f64 (*.f64 (/.f64 y z) (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (*.f64 (*.f64 (/.f64 y z) (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x))) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 z z) z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (*.f64 (/.f64 y z) (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)))) (*.f64 (*.f64 (/.f64 y z) (fma.f64 z (+.f64 (neg.f64 x) z) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 #s(literal 0 binary64) z) (*.f64 (*.f64 (neg.f64 y) (+.f64 (neg.f64 x) z)) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (*.f64 (*.f64 (neg.f64 y) (+.f64 (neg.f64 x) z)) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 z) (-.f64 (*.f64 x x) (*.f64 z z))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (*.f64 (neg.f64 y) (+.f64 (neg.f64 x) z)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)))) (*.f64 (*.f64 (neg.f64 y) (+.f64 (neg.f64 x) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(+.f64 x y) |
(+.f64 y x) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
Compiled 26 213 to 2 200 computations (91.6% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 173 | 14 | 1 187 |
| Fresh | 4 | 1 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 181 | 17 | 1 198 |
| Status | Accuracy | Program |
|---|---|---|
| 40.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 z)) (neg.f64 z))) | |
| ▶ | 55.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) |
| ▶ | 41.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 x y))) |
| 41.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) | |
| 45.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) | |
| ▶ | 42.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
| 42.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) | |
| ✓ | 54.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
| 14.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) | |
| ▶ | 17.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) |
| 42.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y)))) | |
| ✓ | 40.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| 14.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 y z) y y))) | |
| ▶ | 27.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x))) |
| 2.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z))) | |
| 18.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (-.f64 (neg.f64 z) x) z) y))) | |
| 17.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
Compiled 351 to 187 computations (46.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (/ (+ x y) z) (/.f64 y z)) | |
| cost-diff | 0 | (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 x y))) | |
| cost-diff | 0 | (/.f64 (neg.f64 x) y) | |
| cost-diff | 0 | #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (fma.f64 (/.f64 x z) y x) | |
| cost-diff | 0 | #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x))) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) | |
| cost-diff | 0 | #s(approx (- (neg x) z) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) |
| 1 904× | lower-fma.f32 |
| 1 901× | lower-fma.f64 |
| 660× | lower-*.f32 |
| 659× | lower-*.f64 |
| 384× | div-sub |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 238 |
| 0 | 52 | 238 |
| 1 | 85 | 238 |
| 2 | 138 | 238 |
| 3 | 213 | 234 |
| 4 | 311 | 234 |
| 5 | 782 | 234 |
| 6 | 2123 | 234 |
| 7 | 3822 | 234 |
| 8 | 4594 | 234 |
| 9 | 4778 | 234 |
| 10 | 4868 | 234 |
| 11 | 4905 | 234 |
| 12 | 4914 | 234 |
| 13 | 5164 | 234 |
| 14 | 5336 | 234 |
| 15 | 5336 | 234 |
| 16 | 5336 | 234 |
| 17 | 5336 | 234 |
| 18 | 5336 | 234 |
| 0 | 5336 | 234 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) |
(fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z)) |
(/.f64 z y) |
z |
y |
#s(approx (- (neg x) z) (neg.f64 x)) |
(neg.f64 x) |
x |
(neg.f64 z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x)) |
(fma.f64 (/.f64 x z) y x) |
(/.f64 x z) |
x |
z |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) |
(*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z) |
#s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 x y))) |
(fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 x y)) |
#s(approx (/ (+ x y) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
(+.f64 x y) |
x |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y) (neg.f64 z))) |
(fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z)) |
(fma.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y) (neg.f64 z)) |
(/.f64 z y) |
z |
y |
#s(approx (- (neg x) z) (neg.f64 x)) |
(neg.f64 x) |
x |
(neg.f64 z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 y z) x x))) |
#s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x)) |
#s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 y z) x x)) |
(fma.f64 (/.f64 x z) y x) |
(fma.f64 (/.f64 y z) x x) |
(/.f64 x z) |
x |
z |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) |
(*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z) |
#s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 x y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 y x))) |
(fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 x y)) |
(fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 y x)) |
#s(approx (/ (+ x y) z) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
(+.f64 x y) |
(+.f64 y x) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 2.8853294859328504 | (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 x y)) | |
| accuracy | 27.45121798207741 | #s(approx (/ (+ x y) z) (/.f64 y z)) | |
| accuracy | 37.13762398759772 | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 x y))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 3.364090803107698 | (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z) | |
| accuracy | 27.10945294566961 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) | |
| accuracy | 33.373658513272446 | #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 4.140161070533984 | (fma.f64 (/.f64 x z) y x) | |
| accuracy | 29.477039743169374 | #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x)) | |
| accuracy | 37.13762398759772 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x))) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 36.73899843867504 | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 1.7674025499711339 | (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z)) | |
| accuracy | 27.170276308412195 | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) | |
| accuracy | 29.38908928341004 | #s(approx (- (neg x) z) (neg.f64 x)) |
| 90.0ms | 256× | 0 | valid |
Compiled 147 to 28 computations (81% saved)
ival-div: 47.0ms (69.6% of total)ival-add: 6.0ms (8.9% of total)ival-mult: 6.0ms (8.9% of total)ival-neg: 5.0ms (7.4% of total)ival-sub: 3.0ms (4.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ()) |
#s(alt #s(approx (- (neg x) z) (neg.f64 x)) (patch #s(approx (- (neg x) z) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z) (patch (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 x y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 x y))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 x y)) (patch (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) z) (/.f64 y z)) (patch #s(approx (/ (+ x y) z) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ y (- 1 (/ y z))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) #<representation binary64>) () ())) ()) |
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#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
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#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
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150 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | 0 | (+ (* (/ x z) y) x) |
| 0.0ms | x | @ | inf | (+ (* (/ x z) y) x) |
| 0.0ms | x | @ | -inf | (+ (* (/ x z) y) x) |
| 0.0ms | x | @ | 0 | (+ (* (/ x z) y) x) |
| 0.0ms | x | @ | 0 | (/ (neg x) y) |
| 1× | egg-herbie |
| 6 394× | lower-fma.f64 |
| 6 394× | lower-fma.f32 |
| 2 120× | lower-+.f64 |
| 2 120× | lower-+.f32 |
| 1 946× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 309 | 6464 |
| 1 | 1023 | 6138 |
| 2 | 3120 | 5517 |
| 0 | 8547 | 5282 |
| 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)))) |
(* 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 (/ (* 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 (/ (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)))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* -1 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)))) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(+ y (/ (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 (* 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))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(/ (* x y) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
x |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(/ (* x y) z) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(* y (+ (/ x y) (/ x z))) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(* -1 (/ (* x z) y)) |
(* x (+ (* -1 (/ z x)) (* -1 (/ z y)))) |
(* x (+ (* -1 (/ z x)) (* -1 (/ z y)))) |
(* x (+ (* -1 (/ z x)) (* -1 (/ z y)))) |
(* -1 (/ (* x z) y)) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y) |
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y) |
(/ (+ (* -1 (* x z)) (* -1 (* y z))) y) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(+ (* -1 z) (* -1 (/ (* x z) y))) |
(* -1 (* z (+ 1 (/ 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 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
-1 |
(- (* -1 (/ x y)) 1) |
(- (* -1 (/ x y)) 1) |
(- (* -1 (/ x y)) 1) |
(* -1 (/ x y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (/ x y)) |
(/ (- (* -1 y) x) y) |
(/ (- (* -1 y) x) y) |
(/ (- (* -1 y) x) y) |
-1 |
(- (* -1 (/ x y)) 1) |
(- (* -1 (/ x y)) 1) |
(- (* -1 (/ x y)) 1) |
-1 |
(- (* -1 (/ x y)) 1) |
(- (* -1 (/ x y)) 1) |
(- (* -1 (/ x y)) 1) |
(* -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)) |
(/ 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 (/ (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 (* 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 z) |
(+ (/ x z) (/ y z)) |
(+ (/ x z) (/ y z)) |
(+ (/ x z) (/ y z)) |
(/ x z) |
(* x (+ (/ 1 z) (/ y (* x z)))) |
(* x (+ (/ 1 z) (/ y (* x z)))) |
(* x (+ (/ 1 z) (/ y (* x z)))) |
(/ x z) |
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z)))) |
(/ x z) |
(+ (/ x z) (/ y z)) |
(+ (/ x z) (/ y z)) |
(+ (/ x z) (/ y z)) |
(/ y z) |
(* y (+ (/ 1 z) (/ x (* y z)))) |
(* y (+ (/ 1 z) (/ x (* y z)))) |
(* y (+ (/ 1 z) (/ x (* y z)))) |
(/ y z) |
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z)))) |
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z)))) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) z) |
(/ (+ x y) 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 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
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 |
|---|
(/ y (- 1 (/ y z))) |
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.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)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 y z) (+.f64 (/.f64 x z) #s(literal 1 binary64))) y x) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)) y (+.f64 (/.f64 x z) #s(literal 1 binary64))) y x) |
(* -1 z) |
(neg.f64 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(neg.f64 (fma.f64 (+.f64 x z) (/.f64 z y) z)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(fma.f64 (*.f64 (-.f64 (neg.f64 x) z) z) (/.f64 z (*.f64 y y)) (neg.f64 (fma.f64 (+.f64 x z) (/.f64 z y) z))) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z (fma.f64 (/.f64 (*.f64 (-.f64 (neg.f64 x) z) z) (*.f64 y y)) (-.f64 (/.f64 (*.f64 z z) y) (neg.f64 z)) (*.f64 (neg.f64 z) (/.f64 z y)))) |
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(fma.f64 (/.f64 x z) y x) |
(* x (+ 1 (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y x) (/.f64 y z)) x x) |
(* x (+ 1 (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y x) (/.f64 y z)) x x) |
(* x (+ 1 (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y x) (/.f64 y z)) x x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 x z) y x) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y z) y y) (neg.f64 x)) (/.f64 y z)) (neg.f64 x) x) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y z) y y) (neg.f64 x)) (/.f64 y z)) (neg.f64 x) x) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y z) y y) (neg.f64 x)) (/.f64 y z)) (neg.f64 x) x) |
x |
(+ x (* y (+ 1 (/ x z)))) |
(fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) |
(+ x (* y (+ 1 (+ (/ x z) (/ y z))))) |
(fma.f64 (/.f64 y z) (+.f64 x y) (+.f64 x y)) |
(+ x (* y (+ 1 (+ (/ x z) (/ y z))))) |
(fma.f64 (/.f64 y z) (+.f64 x y) (+.f64 x y)) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(* (pow y 2) (+ (/ 1 y) (+ (/ 1 z) (/ x (* y z))))) |
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (neg.f64 y)) y y) |
(* (pow y 2) (+ (/ 1 y) (+ (/ 1 z) (+ (/ x (* y z)) (/ x (pow y 2)))))) |
(fma.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (/.f64 x (*.f64 y y))) (*.f64 y y) y) |
(* (pow y 2) (+ (/ 1 y) (+ (/ 1 z) (+ (/ x (* y z)) (/ x (pow y 2)))))) |
(fma.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (/.f64 x (*.f64 y y))) (*.f64 y y) y) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(* (pow y 2) (+ (* -1 (/ (- (* -1 (/ x z)) 1) y)) (/ 1 z))) |
(*.f64 y (+.f64 (/.f64 (fma.f64 (/.f64 x z) y y) y) (/.f64 y z))) |
(* (pow y 2) (+ (* -1 (/ (- (+ (* -1 (/ x y)) (* -1 (/ x z))) 1) y)) (/ 1 z))) |
(*.f64 y (fma.f64 (/.f64 (-.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 x z))) y) y (/.f64 y z))) |
(* (pow y 2) (+ (* -1 (/ (- (+ (* -1 (/ x y)) (* -1 (/ x z))) 1) y)) (/ 1 z))) |
(*.f64 y (fma.f64 (/.f64 (-.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 x z))) y) y (/.f64 y z))) |
(/ (* y (+ x y)) z) |
(*.f64 (/.f64 (+.f64 x y) z) y) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(*.f64 (+.f64 x y) (/.f64 (+.f64 z y) z)) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(*.f64 (+.f64 x y) (/.f64 (+.f64 z y) z)) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(*.f64 (+.f64 x y) (/.f64 (+.f64 z y) z)) |
(+ x y) |
(+.f64 x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(fma.f64 (+.f64 (/.f64 (+.f64 x y) z) #s(literal 1 binary64)) y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(fma.f64 (+.f64 (/.f64 (+.f64 x y) z) #s(literal 1 binary64)) y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(fma.f64 (+.f64 (/.f64 (+.f64 x y) z) #s(literal 1 binary64)) y x) |
(+ x y) |
(+.f64 x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(fma.f64 (+.f64 (/.f64 (+.f64 x y) z) #s(literal 1 binary64)) y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(fma.f64 (+.f64 (/.f64 (+.f64 x y) z) #s(literal 1 binary64)) y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(fma.f64 (+.f64 (/.f64 (+.f64 x y) z) #s(literal 1 binary64)) y x) |
(/ y z) |
(/.f64 y z) |
(+ (/ x z) (/ y z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(+ (/ x z) (/ y z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(+ (/ x z) (/ y z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(/ x z) |
(/.f64 x z) |
(* x (+ (/ 1 z) (/ y (* x z)))) |
(fma.f64 (/.f64 y (*.f64 x z)) x (/.f64 x z)) |
(* x (+ (/ 1 z) (/ y (* x z)))) |
(fma.f64 (/.f64 y (*.f64 x z)) x (/.f64 x z)) |
(* x (+ (/ 1 z) (/ y (* x z)))) |
(fma.f64 (/.f64 y (*.f64 x z)) x (/.f64 x z)) |
(/ x z) |
(/.f64 x z) |
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z)))) |
(fma.f64 (/.f64 y (*.f64 x z)) x (/.f64 x z)) |
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z)))) |
(fma.f64 (/.f64 y (*.f64 x z)) x (/.f64 x z)) |
(* -1 (* x (- (* -1 (/ y (* x z))) (/ 1 z)))) |
(fma.f64 (/.f64 y (*.f64 x z)) x (/.f64 x z)) |
(/ x z) |
(/.f64 x z) |
(+ (/ x z) (/ y z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(+ (/ x z) (/ y z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(+ (/ x z) (/ y z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(/ y z) |
(/.f64 y z) |
(* y (+ (/ 1 z) (/ x (* y z)))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (neg.f64 y)) |
(* y (+ (/ 1 z) (/ x (* y z)))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (neg.f64 y)) |
(* y (+ (/ 1 z) (/ x (* y z)))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (neg.f64 y)) |
(/ y z) |
(/.f64 y z) |
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z)))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z)))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ x (* y z))) (/ 1 z)))) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (neg.f64 y)) |
(/ (+ x y) z) |
(/.f64 (+.f64 x y) z) |
(/ (+ x y) z) |
(/.f64 (+.f64 x y) z) |
(/ (+ x y) z) |
(/.f64 (+.f64 x y) z) |
(/ (+ x y) z) |
(/.f64 (+.f64 x y) z) |
(/ (+ x y) z) |
(/.f64 (+.f64 x y) z) |
(/ (+ x y) z) |
(/.f64 (+.f64 x y) z) |
(/ (+ x y) z) |
(/.f64 (+.f64 x y) z) |
(/ (+ x y) z) |
(/.f64 (+.f64 x y) z) |
(/ (+ x y) z) |
(/.f64 (+.f64 x y) z) |
(/ (+ x y) z) |
(/.f64 (+.f64 x y) z) |
(/ (+ x y) z) |
(/.f64 (+.f64 x y) z) |
(/ (+ x y) z) |
(/.f64 (+.f64 x y) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* -1 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) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 (neg.f64 y) 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 (/.f64 x y) y y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
(* y (+ 1 (/ x y))) |
(fma.f64 (/.f64 x y) y y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 (/.f64 x y) y y) |
| 3 368× | lower-fma.f32 |
| 3 365× | lower-fma.f64 |
| 2 191× | lower-/.f32 |
| 2 187× | lower-/.f64 |
| 1 810× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 220 |
| 0 | 52 | 220 |
| 1 | 218 | 220 |
| 2 | 1948 | 220 |
| 0 | 8165 | 218 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) |
(fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z)) |
(/.f64 z y) |
#s(approx (- (neg x) z) (neg.f64 x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
(+.f64 y x) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x)) |
(fma.f64 (/.f64 x z) y x) |
(/.f64 x z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) |
(*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z) |
#s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 x y))) |
(fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 x y)) |
#s(approx (/ (+ x y) z) (/.f64 y z)) |
(/.f64 y z) |
(neg.f64 x) |
(+.f64 x y) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y) (neg.f64 z))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z) (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z)) (*.f64 y y)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y) (neg.f64 (neg.f64 z))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) #s(approx (- (neg x) z) (neg.f64 x))) #s(approx (- (neg x) z) (neg.f64 x))) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y))) (/.f64 (*.f64 (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z) (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z)) (*.f64 y y))))) |
(pow.f64 (/.f64 (fma.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y) (neg.f64 (neg.f64 z))) (-.f64 (/.f64 (*.f64 (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z) (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z)) (*.f64 y y)) (*.f64 z z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y))) (/.f64 (*.f64 (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z) (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z)) (*.f64 y y))) (fma.f64 (*.f64 (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) #s(approx (- (neg x) z) (neg.f64 x))) #s(approx (- (neg x) z) (neg.f64 x))) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 z z) z))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 z z) z)) (fma.f64 (fma.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y) #s(literal 0 binary64)) (fma.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y) #s(literal 0 binary64)) (fma.f64 z z (*.f64 (fma.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y) #s(literal 0 binary64)) z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z) (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z)) (*.f64 y y)) (fma.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y) (neg.f64 (neg.f64 z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (fma.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y) (neg.f64 (neg.f64 z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z) (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z)) (*.f64 y y)) (fma.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y) (neg.f64 (neg.f64 z)))) (/.f64 (/.f64 (*.f64 (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z) (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z)) (*.f64 y y)) (fma.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y) (neg.f64 (neg.f64 z)))) (fma.f64 (/.f64 (*.f64 z z) (fma.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y) (neg.f64 (neg.f64 z)))) (/.f64 (*.f64 z z) (fma.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y) (neg.f64 (neg.f64 z)))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z) (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z)) (*.f64 y y)) (fma.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y) (neg.f64 (neg.f64 z)))) (/.f64 (*.f64 z z) (fma.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y) (neg.f64 (neg.f64 z)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 z (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 z (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y))) (-.f64 z (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y))) (*.f64 #s(literal 0 binary64) (-.f64 z (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) #s(approx (- (neg x) z) (neg.f64 x))) #s(approx (- (neg x) z) (neg.f64 x))) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y))) (*.f64 (*.f64 z z) z))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z) (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z)) (*.f64 y y)) (fma.f64 z z (*.f64 (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y)) z))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (/.f64 (*.f64 (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z) (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z)) (*.f64 y y)))) (neg.f64 (-.f64 (neg.f64 z) (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z) (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z)) (*.f64 y y)) (*.f64 z z)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y) (neg.f64 (neg.f64 z)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) #s(approx (- (neg x) z) (neg.f64 x))) #s(approx (- (neg x) z) (neg.f64 x))) (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 z z) z)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 z) (-.f64 (neg.f64 z) (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) (/.f64 z y))) (/.f64 (*.f64 (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z) (*.f64 #s(approx (- (neg x) z) (neg.f64 x)) z)) (*.f64 y y)))))) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) #s(approx (/ (+ x y) z) (/.f64 y z))) #s(approx (/ (+ x y) z) (/.f64 y z))) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y) y) #s(approx (/ (+ x y) z) (/.f64 y z)) (*.f64 (+.f64 y x) (-.f64 (+.f64 y x) (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y))))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y x) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y x)) (*.f64 y y)) (-.f64 (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y x) y)) |
(/.f64 (-.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (*.f64 (*.f64 (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y) #s(approx (/ (+ x y) z) (/.f64 y z))) y)) (-.f64 (+.f64 y x) (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y x) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y x)) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y x) (*.f64 (*.f64 y y) y)) (fma.f64 (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y x) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y x) (-.f64 (*.f64 y y) (*.f64 (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y x) y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 y x)) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (neg.f64 (+.f64 y x))))) (neg.f64 (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (neg.f64 (+.f64 y x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) #s(approx (/ (+ x y) z) (/.f64 y z))) #s(approx (/ (+ x y) z) (/.f64 y z))) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)))) (neg.f64 (fma.f64 (+.f64 y x) (+.f64 y x) (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y) #s(approx (/ (+ x y) z) (/.f64 y z))) y) (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) (*.f64 (+.f64 y x) y)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) #s(approx (/ (+ x y) z) (/.f64 y z))) #s(approx (/ (+ x y) z) (/.f64 y z))) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y) y) #s(approx (/ (+ x y) z) (/.f64 y z)) (*.f64 (+.f64 y x) (-.f64 (+.f64 y x) (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y)))))) |
(/.f64 (*.f64 (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 y x)) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (neg.f64 (+.f64 y x)))) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (neg.f64 (+.f64 y x)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) #s(approx (/ (+ x y) z) (/.f64 y z))) #s(approx (/ (+ x y) z) (/.f64 y z))) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x))) (fma.f64 (+.f64 y x) (+.f64 y x) (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y) #s(approx (/ (+ x y) z) (/.f64 y z))) y) (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) (*.f64 (+.f64 y x) y))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) #s(approx (/ (+ x y) z) (/.f64 y z))) #s(approx (/ (+ x y) z) (/.f64 y z))) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y) y) #s(approx (/ (+ x y) z) (/.f64 y z)) (*.f64 (+.f64 y x) (-.f64 (+.f64 y x) (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (neg.f64 (+.f64 y x))) (*.f64 (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 y x)) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (neg.f64 (+.f64 y x))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y) y) #s(approx (/ (+ x y) z) (/.f64 y z)) (*.f64 (+.f64 y x) (-.f64 (+.f64 y x) (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) #s(approx (/ (+ x y) z) (/.f64 y z))) #s(approx (/ (+ x y) z) (/.f64 y z))) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (neg.f64 (+.f64 y x))) (*.f64 (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 y x)) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (neg.f64 (+.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y) y) #s(approx (/ (+ x y) z) (/.f64 y z)) (*.f64 (+.f64 y x) (-.f64 (+.f64 y x) (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y)))) (fma.f64 (*.f64 (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) #s(approx (/ (+ x y) z) (/.f64 y z))) #s(approx (/ (+ x y) z) (/.f64 y z))) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (+.f64 y x))))) |
(fma.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y)) |
(fma.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y)) |
(fma.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x))) (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y)) |
(fma.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y)) |
(fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 y x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (+.f64 y (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y))) |
(fma.f64 #s(literal 1 binary64) x (+.f64 y (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y))) |
(fma.f64 y #s(approx (/ (+ x y) z) (/.f64 y z)) (+.f64 y x)) |
(-.f64 (/.f64 (*.f64 (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y x) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y x)) (-.f64 (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y x) y)) (/.f64 (*.f64 y y) (-.f64 (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y x) y))) |
(-.f64 (/.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (-.f64 (+.f64 y x) (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y))) (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y) #s(approx (/ (+ x y) z) (/.f64 y z))) y) (-.f64 (+.f64 y x) (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y) #s(approx (/ (+ x y) z) (/.f64 y z))) y) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (neg.f64 (+.f64 y x)))) (/.f64 (*.f64 (+.f64 y x) (+.f64 y x)) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (neg.f64 (+.f64 y x))))) |
(+.f64 (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y y) x) |
(+.f64 (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y x) y) |
(+.f64 (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y) (+.f64 y x)) |
(+.f64 (+.f64 y x) (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y)) |
(+.f64 y (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y x)) |
(+.f64 x (+.f64 y (*.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y))) |
#s(approx (/ (+ x y) z) (/.f64 y z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 y)) |
(*.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) y) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 (/.f64 y z) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 z (neg.f64 y)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 y (/.f64 #s(literal 1 binary64) z)) |
(pow.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y z) #s(literal 1 binary64)) |
(pow.f64 (/.f64 z y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 y #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (neg.f64 z)) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (/.f64 y #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 z)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) z) |
(/.f64 (*.f64 y #s(literal 1 binary64)) z) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 y z) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x))) |
(*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x 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 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) |
(/.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)))))) |
(/.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 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x 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 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) y) |
(fma.f64 #s(literal 1 binary64) x y) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 15 910 to 1 047 computations (93.4% saved)
18 alts after pruning (11 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 962 | 1 | 963 |
| Fresh | 0 | 10 | 10 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 962 | 18 | 980 |
| Status | Accuracy | Program |
|---|---|---|
| 40.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 z)) (neg.f64 z))) | |
| ✓ | 55.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) |
| ✓ | 41.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 x y))) |
| 41.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) | |
| ▶ | 45.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
| ✓ | 42.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
| ▶ | 42.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
| ✓ | 54.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
| 14.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) | |
| ✓ | 17.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) |
| 42.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y)))) | |
| ✓ | 40.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| 14.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 y z) y y))) | |
| ✓ | 27.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x))) |
| ▶ | 2.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z))) |
| 18.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (-.f64 (neg.f64 z) x) z) y))) | |
| ▶ | 17.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
| ▶ | 31.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
Compiled 318 to 169 computations (46.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 z y) | |
| cost-diff | 0 | (/.f64 x (-.f64 z y)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (-.f64 z y)) z) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) | |
| cost-diff | 0 | (/.f64 (neg.f64 z) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 z) y) x) | |
| cost-diff | 0 | #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) | |
| cost-diff | 896 | (fma.f64 (/.f64 x y) y y) | |
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (/.f64 (*.f64 y y) z) | |
| cost-diff | 0 | #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) 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))) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
| 3 057× | lower-fma.f32 |
| 3 056× | lower-fma.f64 |
| 1 271× | lower-*.f32 |
| 1 268× | lower-*.f64 |
| 768× | unsub-neg |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 227 |
| 0 | 53 | 225 |
| 1 | 91 | 225 |
| 2 | 167 | 222 |
| 3 | 348 | 210 |
| 4 | 699 | 210 |
| 5 | 2160 | 210 |
| 6 | 4430 | 210 |
| 7 | 6799 | 210 |
| 0 | 8040 | 210 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.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 |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z))) |
#s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) |
(fma.f64 (/.f64 x y) y y) |
(/.f64 x y) |
x |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/.f64 x (-.f64 z y)) |
x |
(-.f64 z y) |
z |
y |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.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 |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z))) |
#s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (+.f64 y x))) |
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) |
#s(approx (+ y x) (+.f64 y x)) |
(fma.f64 (/.f64 x y) y y) |
(+.f64 y x) |
(/.f64 x y) |
x |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 x) y) z))) |
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)) |
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 x) y) z)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(*.f64 (/.f64 (neg.f64 x) y) z) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/.f64 x (-.f64 z y)) |
x |
(-.f64 z y) |
z |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0.015625 | (/.f64 x (-.f64 z y)) | |
| accuracy | 10.443872016295378 | (*.f64 (/.f64 x (-.f64 z y)) z) | |
| accuracy | 32.841147659199486 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 3.877713634183585 | (*.f64 (/.f64 (neg.f64 z) y) x) | |
| accuracy | 26.923519720796637 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) | |
| accuracy | 37.51919438588249 | #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) | |
| accuracy | 8.973625476317553 | (fma.f64 (/.f64 x y) y y) | |
| accuracy | 36.73899843867504 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) | |
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 6.606346549843757 | (/.f64 (*.f64 y y) z) | |
| accuracy | 36.41430027861472 | #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z)) | |
| accuracy | 37.13762398759772 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z))) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (/.f64 y z)) | |
| accuracy | 2.7552913552111398 | (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) | |
| accuracy | 32.841147659199486 | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
| 74.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 146 to 31 computations (78.8% saved)
ival-div: 15.0ms (39.5% of total)ival-mult: 11.0ms (29% of total)ival-add: 6.0ms (15.8% of total)ival-sub: 4.0ms (10.5% of total)ival-neg: 2.0ms (5.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #<representation binary64>) () ()) |
#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 #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z)) (patch #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y y) z) (patch (/.f64 (*.f64 y y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x y) y y) (patch (fma.f64 (/.f64 x y) y y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) (patch #s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)) (patch #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (neg.f64 z) y) x) (patch (*.f64 (/.f64 (neg.f64 z) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 z) y) (patch (/.f64 (neg.f64 z) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (-.f64 z y)) z) (patch (*.f64 (/.f64 x (-.f64 z y)) z) #<representation binary64>) () ()) |
#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ()) |
#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ y (- 1 (/ y z))) (taylor 0 x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.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 #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.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 #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.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 #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.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 #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.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 #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.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 #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.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 #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.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 #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.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 #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 (* -1 (/ x z))))) (taylor 0 y) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.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 #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.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 #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (+ (* -1 x) (* -1 (/ (* x (pow z 2)) (pow y 2)))) (/ (* x z) y)) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 x) (* -1 (/ (* x (pow z 3)) (pow y 3)))) (+ (/ (* x z) y) (/ (* x (pow z 2)) (pow y 2)))) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ x (/ (* x z) y)) y)) (taylor -inf y) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow z 2)) y)) (* x z)) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 3)) y) (* -1 (* x (pow z 2)))) y)) (* x z)) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1 (/ y z)))) (taylor inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1 (/ y z)))) (taylor inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1 (/ y z)))) (taylor inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (/ y z) 1))) (taylor -inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (/ y z) 1))) (taylor -inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (/ y z) 1))) (taylor -inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 y)) (taylor 0 y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 y)) (taylor 0 y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 y)) (taylor 0 y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ z y) 1)) (taylor inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ z y) 1)) (taylor inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ z y) 1)) (taylor inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ z y))))) (taylor -inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ z y))))) (taylor -inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ z y))))) (taylor -inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
153 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | inf | (* (/ (neg z) y) x) |
| 5.0ms | z | @ | 0 | (* (/ (neg z) y) x) |
| 1.0ms | x | @ | inf | (/ x (- 1 (/ y z))) |
| 1.0ms | y | @ | 0 | (* (/ (neg z) y) x) |
| 1.0ms | x | @ | inf | (* (/ x (- z y)) z) |
| 1× | egg-herbie |
| 6 356× | lower-fma.f64 |
| 6 356× | lower-fma.f32 |
| 2 663× | lower-*.f64 |
| 2 663× | lower-*.f32 |
| 1 833× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 446 | 6879 |
| 1 | 1455 | 6463 |
| 2 | 4349 | 6014 |
| 0 | 8298 | 5720 |
| 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)))) |
(/ 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 (- 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 (/ (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 (* 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))) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
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))) |
(/ 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))) |
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(+ (* -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) |
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(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
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(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
x |
(+ x y) |
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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 |
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x |
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x |
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(/ x y) |
(/ x y) |
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(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
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(/ x y) |
(/ x y) |
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(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ 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)))))) |
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(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
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(+ x (* y (- 1 (* -1 (/ x z))))) |
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(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
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(- (+ (* -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))) |
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(* -1 (/ (* z (+ x y)) y)) |
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(* 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))))))) |
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(- (+ 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) |
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(* 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 (/ (* 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 (/ (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)))) |
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(* -1 (/ (* x z) y)) |
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(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
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(* -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)) |
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(* -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)) |
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(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(* -1 (/ z y)) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
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(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(/ (* x z) (- z y)) |
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(/ (* x z) (- z y)) |
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(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(* -1 (/ (* x z) y)) |
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(* 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 |
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x |
(+ x (/ (* x y) z)) |
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(+ 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)) |
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(/ x (- z y)) |
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(/ 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))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
| Outputs |
|---|
(/ y (- 1 (/ y z))) |
(/.f64 y (/.f64 (-.f64 z y) z)) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 x (/.f64 (-.f64 z y) z)) (/.f64 y (/.f64 (-.f64 z y) z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 x (/.f64 (-.f64 z y) z)) (/.f64 y (/.f64 (-.f64 z y) z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 x (/.f64 (-.f64 z y) z)) (/.f64 y (/.f64 (-.f64 z y) z))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 y (fma.f64 (neg.f64 y) (/.f64 x z) x)) x (/.f64 x (/.f64 (-.f64 z y) z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 y (fma.f64 (neg.f64 y) (/.f64 x z) x)) x (/.f64 x (/.f64 (-.f64 z y) z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 y (fma.f64 (neg.f64 y) (/.f64 x z) x)) x (/.f64 x (/.f64 (-.f64 z y) z))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 y (fma.f64 (neg.f64 y) (/.f64 x z) x)) x (/.f64 x (/.f64 (-.f64 z y) z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 y (fma.f64 (neg.f64 y) (/.f64 x z) x)) x (/.f64 x (/.f64 (-.f64 z y) z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 y (fma.f64 (neg.f64 y) (/.f64 x z) x)) x (/.f64 x (/.f64 (-.f64 z y) z))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+.f64 (fma.f64 (/.f64 x z) y y) x) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 y z) (+.f64 (/.f64 x z) #s(literal 1 binary64))) y x) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z) (+.f64 (/.f64 y z) #s(literal 1 binary64))) y (+.f64 (/.f64 x z) #s(literal 1 binary64))) y x) |
(* -1 z) |
(neg.f64 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(neg.f64 (fma.f64 (+.f64 x z) (/.f64 z y) z)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(-.f64 (fma.f64 (*.f64 (-.f64 (neg.f64 x) z) z) (/.f64 z (*.f64 y y)) (*.f64 (/.f64 (-.f64 (neg.f64 x) z) y) z)) z) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(-.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (neg.f64 x) z) z) (*.f64 (*.f64 y y) y)) (*.f64 z z) (fma.f64 (*.f64 (-.f64 (neg.f64 x) z) z) (/.f64 z (*.f64 y y)) (*.f64 (/.f64 (-.f64 (neg.f64 x) z) y) z))) z) |
(* -1 z) |
(neg.f64 z) |
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(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) |
(*.f64 (/.f64 (neg.f64 x) y) (fma.f64 z (/.f64 z y) z)) |
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 y y) y)) x (/.f64 x (*.f64 y y)))) z (/.f64 (neg.f64 x) y)) z) |
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 (*.f64 y y) y) y)) x (/.f64 x (*.f64 (*.f64 y y) y)))) z (/.f64 (neg.f64 x) (*.f64 y y))) z (/.f64 (neg.f64 x) y)) z) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y 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 (*.f64 (*.f64 y y) y) (/.f64 x (*.f64 (*.f64 z z) z)) (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y z) y) x)) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y 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))) |
(+.f64 (/.f64 (fma.f64 x y (/.f64 (*.f64 x (*.f64 y (fma.f64 y (/.f64 y z) y))) z)) z) x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(+ x (* y (- (/ (* x y) (pow z 2)) (* -1 (/ x z))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 x z) y x) z) y x) |
(+ x (* y (- (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (* -1 (/ x z))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 x (*.f64 z z)) (+.f64 (/.f64 y z) #s(literal 1 binary64))) y (/.f64 x z)) y x) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y) |
(*.f64 (/.f64 (neg.f64 x) y) (fma.f64 z (/.f64 z y) z)) |
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 3)) (pow y 2)))) (/ (* x (pow z 2)) y)) y) |
(/.f64 (fma.f64 x (*.f64 z (fma.f64 z (/.f64 z (*.f64 y y)) (/.f64 z y))) (*.f64 x z)) (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 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 y y) y)) z) (*.f64 x (*.f64 z (fma.f64 z (/.f64 z (*.f64 y y)) (/.f64 z y)))))) y) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y)) |
(*.f64 (/.f64 (neg.f64 x) y) (fma.f64 z (/.f64 z y) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow z 3)) y)) (* x (pow z 2))) y)) (* x z)) y)) |
(/.f64 (fma.f64 x (*.f64 z (fma.f64 z (/.f64 z (*.f64 y y)) (/.f64 z y))) (*.f64 x z)) (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 (neg.f64 x) z (/.f64 (neg.f64 (fma.f64 (*.f64 x z) z (/.f64 (*.f64 x (fma.f64 (*.f64 z z) z (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) y))) y))) y)) y) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))) |
(/.f64 (fma.f64 (/.f64 z y) x x) (neg.f64 y)) |
(+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))) |
(fma.f64 (neg.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 y y) y)) x (/.f64 x (*.f64 y y)))) z (/.f64 (neg.f64 x) y)) |
(+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (*.f64 (*.f64 (*.f64 y y) y) y)) x (/.f64 x (*.f64 (*.f64 y y) y)))) z (/.f64 (neg.f64 x) (*.f64 y y))) z (/.f64 (neg.f64 x) y)) |
(/ x z) |
(/.f64 x z) |
(/ (+ x (/ (* x y) z)) z) |
(/.f64 (fma.f64 (/.f64 x z) y x) z) |
(/ (- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) z) |
(/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y z) y) x) z) |
(/ (- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2))))) z) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) y) (/.f64 x (*.f64 (*.f64 z z) z)) (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y z) y) x)) z) |
(/ x z) |
(/.f64 x z) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* x y) z))) z)) |
(/.f64 (fma.f64 (/.f64 x z) y x) z) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* x y) (/ (* x (pow y 2)) z)) z))) z)) |
(/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y z) y) x) z) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z))) z)) |
(/.f64 (+.f64 (/.f64 (fma.f64 x y (/.f64 (*.f64 x (*.f64 y (fma.f64 y (/.f64 y z) y))) z)) z) x) z) |
(/ x z) |
(/.f64 x z) |
(+ (/ x z) (/ (* x y) (pow z 2))) |
(/.f64 (fma.f64 (/.f64 x z) y x) z) |
(+ (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (/ x z)) |
(fma.f64 (*.f64 (/.f64 x (*.f64 z z)) (+.f64 (/.f64 y z) #s(literal 1 binary64))) y (/.f64 x z)) |
(+ (* y (- (* y (- (/ (* x y) (pow z 4)) (* -1 (/ x (pow z 3))))) (* -1 (/ x (pow z 2))))) (/ x z)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (*.f64 (*.f64 z z) (*.f64 z z))) x (/.f64 x (*.f64 (*.f64 z z) z))) y (/.f64 x (*.f64 z z))) y (/.f64 x z)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(/ (+ (* -1 x) (* -1 (/ (* x z) y))) y) |
(/.f64 (fma.f64 (/.f64 z y) x x) (neg.f64 y)) |
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow z 2)) (pow y 2)))) (/ (* x z) y)) y) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 z y) x x) (neg.f64 y)) z (neg.f64 x)) y) |
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow z 3)) (pow y 3)))) (+ (/ (* x z) y) (/ (* x (pow z 2)) (pow y 2)))) y) |
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 x (*.f64 z (fma.f64 z (/.f64 z (*.f64 y y)) (/.f64 z y))) (*.f64 x z)) y) x)) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ (+ x (/ (* x z) y)) y)) |
(/.f64 (fma.f64 (/.f64 z y) x x) (neg.f64 y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow z 2)) y)) (* x z)) y))) y)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 z y) x x) (neg.f64 y)) z (neg.f64 x)) y) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 3)) y) (* -1 (* x (pow z 2)))) y)) (* x z)) y))) y)) |
(/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 x (*.f64 z (fma.f64 z (/.f64 z (*.f64 y y)) (/.f64 z y))) (*.f64 x z)) y) x)) 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 (/.f64 (-.f64 z y) z) z) |
(* z (+ 1 (* -1 (/ y z)))) |
(*.f64 (/.f64 (-.f64 z y) z) z) |
(* z (+ 1 (* -1 (/ y z)))) |
(*.f64 (/.f64 (-.f64 z y) z) z) |
z |
(* -1 (* z (- (/ y z) 1))) |
(*.f64 (/.f64 (-.f64 z y) z) z) |
(* -1 (* z (- (/ y z) 1))) |
(*.f64 (/.f64 (-.f64 z y) z) z) |
(* -1 (* z (- (/ y z) 1))) |
(*.f64 (/.f64 (-.f64 z y) z) 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 (/.f64 z y) y (neg.f64 y)) |
(* y (- (/ z y) 1)) |
(fma.f64 (/.f64 z y) y (neg.f64 y)) |
(* y (- (/ z y) 1)) |
(fma.f64 (/.f64 z y) y (neg.f64 y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(fma.f64 (/.f64 z y) y (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(fma.f64 (/.f64 z y) y (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(fma.f64 (/.f64 z y) y (neg.f64 y)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
| 2 848× | lower-*.f32 |
| 2 845× | lower-*.f64 |
| 2 648× | lower-/.f32 |
| 2 642× | lower-/.f64 |
| 2 013× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 213 |
| 0 | 53 | 211 |
| 1 | 221 | 211 |
| 2 | 1933 | 208 |
| 0 | 9379 | 203 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 y z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z))) |
#s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
(fma.f64 (/.f64 x y) y y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
#s(approx (+ y x) (fma.f64 (/.f64 x y) y y)) |
(/.f64 x y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(/.f64 (neg.f64 z) y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/.f64 x (-.f64 z y)) |
(-.f64 z y) |
(neg.f64 z) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 z z) z)))) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (neg.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) #s(literal 1 binary64))) |
(/.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))) |
(neg.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)) #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 z) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 z z) z)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 z z) z)))) (*.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) (neg.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 z z) z)))) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 z z) z))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 z z) z))) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))))) |
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(fma.f64 #s(literal 1 binary64) z (neg.f64 y)) |
(-.f64 (/.f64 (*.f64 z z) (+.f64 z y)) (/.f64 (*.f64 y y) (+.f64 z y))) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 z z (*.f64 y (+.f64 z y)))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 z z (*.f64 y (+.f64 z y))))) |
(-.f64 z y) |
(+.f64 (neg.f64 y) z) |
(+.f64 z (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 z z) z)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(neg.f64 z) |
(-.f64 #s(literal 0 binary64) z) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
Compiled 11 024 to 910 computations (91.7% saved)
22 alts after pruning (10 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 841 | 7 | 848 |
| Fresh | 3 | 3 | 6 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 7 | 7 |
| Total | 844 | 22 | 866 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 55.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) |
| ✓ | 41.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 x y))) |
| 41.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) | |
| ✓ | 45.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
| 17.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 y (neg.f64 z))))) | |
| ✓ | 42.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
| ✓ | 42.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
| ✓ | 54.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
| 14.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) | |
| 26.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z)) | |
| ✓ | 17.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) |
| 42.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y)))) | |
| 45.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) | |
| ✓ | 40.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| 14.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 y z) y y))) | |
| ✓ | 27.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x))) |
| ✓ | 2.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z))) |
| 2.3% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (*.f64 (/.f64 y z) y))) | |
| 18.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) | |
| ✓ | 17.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
| 40.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) | |
| ✓ | 31.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
Compiled 513 to 194 computations (62.2% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (*.f64 (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 y z) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 x y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (-.f64 (neg.f64 z) x) z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 z)) (neg.f64 z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 (+.f64 x y) z) y (+.f64 x y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 y (neg.f64 z))))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) |
(/.f64 (+.f64 x y) #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z))) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (*.f64 z (+.f64 (+.f64 (/.f64 (*.f64 z (+.f64 x z)) y) x) z)) (neg.f64 y)) z)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
4 calls:
| 20.0ms | y |
| 12.0ms | z |
| 10.0ms | x |
| 9.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.8% | 1 | x |
| 96.5% | 3 | y |
| 96.4% | 3 | z |
| 99.9% | 3 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (*.f64 (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 y z) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 x y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (-.f64 (neg.f64 z) x) z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 z)) (neg.f64 z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 (+.f64 x y) z) y (+.f64 x y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 y (neg.f64 z))))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) |
(/.f64 (+.f64 x y) #s(approx (- 1 (/ y z)) (/.f64 (neg.f64 y) z))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
4 calls:
| 11.0ms | z |
| 10.0ms | y |
| 9.0ms | x |
| 9.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.3% | 3 | x |
| 75.1% | 3 | z |
| 80.7% | 4 | y |
| 78.1% | 8 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (*.f64 (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 y z) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 #s(approx (/ (+ x y) z) (/.f64 y z)) y (+.f64 x y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (-.f64 (neg.f64 z) x) z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 x)) (neg.f64 z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 z)) (neg.f64 z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 (+.f64 x y) z) y (+.f64 x y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x #s(approx (- 1 (/ y z)) (/.f64 y (neg.f64 z))))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
1 calls:
| 32.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 4 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (*.f64 (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 y z) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.3% | 4 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (*.f64 (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 y z) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y)))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) |
3 calls:
| 38.0ms | y |
| 9.0ms | z |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.6% | 3 | z |
| 70.0% | 4 | x |
| 75.4% | 4 | y |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (*.f64 (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 y z) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.9% | 4 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (*.f64 (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 y z) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) |
2 calls:
| 7.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.6% | 3 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 69.4% | 3 | y |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (*.f64 (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (/.f64 (*.f64 y y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ x (- z y)) (/.f64 x z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ (+ x y) z) y) (+ x y)) (fma.f64 (/.f64 y z) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.1% | 3 | y |
Compiled 4 to 3 computations (25% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
4 calls:
| 1.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.5% | 1 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 40.5% | 1 | z |
| 40.5% | 1 | x |
| 40.5% | 1 | y |
Compiled 24 to 17 computations (29.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9587516355452867e-256 | 1.351415269872054e-233 |
| 0.0ms | -5.4001596325128146e-179 | -1.2169890670849762e-202 |
Compiled 15 to 14 computations (6.7% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 3.548140164651525e+96 | 1.2327355609450493e+102 |
| 11.0ms | 1.269362325584047e-93 | 1.362343850377109e-89 |
| 8.0ms | -3.5607225866424325e+97 | -2.2620019033184526e+97 |
| 16.0ms | 336× | 0 | valid |
Compiled 519 to 329 computations (36.6% saved)
ival-div: 4.0ms (47.6% of total)ival-sub: 2.0ms (23.8% of total)ival-add: 2.0ms (23.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.548140164651525e+96 | 1.2327355609450493e+102 |
| 0.0ms | 1.269362325584047e-93 | 1.362343850377109e-89 |
| 0.0ms | -3.5607225866424325e+97 | -2.2620019033184526e+97 |
Compiled 519 to 317 computations (38.9% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 59.0ms | 3.3342673077360023e-28 | 3.91691928472415e-15 |
| 0.0ms | 1.269362325584047e-93 | 1.362343850377109e-89 |
| 11.0ms | -766703336351101200.0 | -2237853197008365.0 |
| 14.0ms | 288× | 0 | valid |
Compiled 639 to 396 computations (38% saved)
ival-div: 4.0ms (57.3% of total)ival-add: 2.0ms (28.6% of total)ival-sub: 1.0ms (14.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 6.1877210338690665e+156 | 7.005362940069529e+160 |
| 0.0ms | 1.269362325584047e-93 | 1.362343850377109e-89 |
| 4.0ms | -4.437375760272051e+97 | -3.5607225866424325e+97 |
| 9.0ms | 176× | 0 | valid |
Compiled 482 to 280 computations (41.9% saved)
ival-div: 2.0ms (44.5% of total)ival-sub: 1.0ms (22.2% of total)ival-add: 1.0ms (22.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 3.548140164651525e+96 | 1.2327355609450493e+102 |
| 11.0ms | 1.362343850377109e-89 | 4.2862203474181783e-88 |
| 0.0ms | -4.437375760272051e+97 | -3.5607225866424325e+97 |
| 13.0ms | 240× | 0 | valid |
Compiled 419 to 248 computations (40.8% saved)
ival-div: 3.0ms (39.6% of total)ival-add: 3.0ms (39.6% of total)ival-sub: 1.0ms (13.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.548140164651525e+96 | 1.2327355609450493e+102 |
| 0.0ms | -4.437375760272051e+97 | -3.5607225866424325e+97 |
Compiled 267 to 158 computations (40.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.548140164651525e+96 | 1.2327355609450493e+102 |
| 0.0ms | -4.437375760272051e+97 | -3.5607225866424325e+97 |
Compiled 195 to 134 computations (31.3% saved)
| 1× | egg-herbie |
| 10× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 9× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 639 |
| 1 | 101 | 639 |
| 2 | 119 | 639 |
| 3 | 129 | 639 |
| 4 | 134 | 639 |
| 5 | 135 | 639 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -912488123524439/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 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 6762169998536515/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(if (<=.f64 y #s(literal -28999999999999998718852679468086862877353947153097796635457216142581099316574850091779282165563392 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) (if (<=.f64 y #s(literal 6192446263173193/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (if (<=.f64 y #s(literal 48000000000000002317473887049059322983701406565752475984875843518901243107867756883028084096279511040 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))))) |
(if (<=.f64 y #s(literal -28999999999999998718852679468086862877353947153097796635457216142581099316574850091779282165563392 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) (if (<=.f64 y #s(literal 6192446263173193/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) (if (<=.f64 y #s(literal 48000000000000002317473887049059322983701406565752475984875843518901243107867756883028084096279511040 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))))) |
(if (<=.f64 y #s(literal -102000000000000000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal 6192446263173193/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) (if (<=.f64 y #s(literal 1663157587499437/81129638414606681695789005144064 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y)))) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))))) |
(if (<=.f64 y #s(literal -35999999999999996577891170312201647607955364924342261219763716406930329005774104293306555495874560 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) (if (<=.f64 y #s(literal 6192446263173193/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) (if (<=.f64 y #s(literal 21500000000000000023295195882117162295371884502861737839092585422932682165133703470445785440734853372493657446021479019673052835891620231686497691625131606016 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y)))) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z))))))) |
(if (<=.f64 y #s(literal -35999999999999996577891170312201647607955364924342261219763716406930329005774104293306555495874560 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) (if (<=.f64 y #s(literal 949651770683389/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) (if (<=.f64 y #s(literal 3600000000000000132073514547267301215742291088019896688970228831156783206195674525742834554765312 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z))))))) |
(if (<=.f64 y #s(literal -35999999999999996577891170312201647607955364924342261219763716406930329005774104293306555495874560 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) (if (<=.f64 y #s(literal 3600000000000000132073514547267301215742291088019896688970228831156783206195674525742834554765312 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))))) |
(if (<=.f64 y #s(literal -35999999999999996577891170312201647607955364924342261219763716406930329005774104293306555495874560 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 3600000000000000132073514547267301215742291088019896688970228831156783206195674525742834554765312 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -912488123524439/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 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 6762169998536515/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -912488123524439/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 6762169998536515/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(if (<=.f64 y #s(literal -28999999999999998718852679468086862877353947153097796635457216142581099316574850091779282165563392 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) (if (<=.f64 y #s(literal 6192446263173193/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (if (<=.f64 y #s(literal 48000000000000002317473887049059322983701406565752475984875843518901243107867756883028084096279511040 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))))) |
(if (<=.f64 y #s(literal -28999999999999998718852679468086862877353947153097796635457216142581099316574850091779282165563392 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) (if (<=.f64 y #s(literal 6192446263173193/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) (if (<=.f64 y #s(literal 48000000000000002317473887049059322983701406565752475984875843518901243107867756883028084096279511040 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))))) |
(if (<=.f64 y #s(literal -28999999999999998718852679468086862877353947153097796635457216142581099316574850091779282165563392 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) (if (<=.f64 y #s(literal 6192446263173193/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) (if (<=.f64 y #s(literal 48000000000000002317473887049059322983701406565752475984875843518901243107867756883028084096279511040 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))))) |
(if (<=.f64 y #s(literal -102000000000000000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal 6192446263173193/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) (if (<=.f64 y #s(literal 1663157587499437/81129638414606681695789005144064 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y)))) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))))) |
(if (<=.f64 y #s(literal -102000000000000000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal 6192446263173193/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) (if (<=.f64 y #s(literal 1663157587499437/81129638414606681695789005144064 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))))) |
(if (<=.f64 y #s(literal -35999999999999996577891170312201647607955364924342261219763716406930329005774104293306555495874560 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) (if (<=.f64 y #s(literal 6192446263173193/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) (if (<=.f64 y #s(literal 21500000000000000023295195882117162295371884502861737839092585422932682165133703470445785440734853372493657446021479019673052835891620231686497691625131606016 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y)))) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z))))))) |
(if (<=.f64 y #s(literal -35999999999999996577891170312201647607955364924342261219763716406930329005774104293306555495874560 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) (if (<=.f64 y #s(literal 6192446263173193/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) (if (<=.f64 y #s(literal 21500000000000000023295195882117162295371884502861737839092585422932682165133703470445785440734853372493657446021479019673052835891620231686497691625131606016 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) y)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z))))))) |
(if (<=.f64 y #s(literal -35999999999999996577891170312201647607955364924342261219763716406930329005774104293306555495874560 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) (if (<=.f64 y #s(literal 949651770683389/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) (if (<=.f64 y #s(literal 3600000000000000132073514547267301215742291088019896688970228831156783206195674525742834554765312 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z))))))) |
(if (<=.f64 y #s(literal -35999999999999996577891170312201647607955364924342261219763716406930329005774104293306555495874560 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) (if (<=.f64 y #s(literal 949651770683389/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) (if (<=.f64 y #s(literal 3600000000000000132073514547267301215742291088019896688970228831156783206195674525742834554765312 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z))))))) |
(if (<=.f64 y #s(literal -35999999999999996577891170312201647607955364924342261219763716406930329005774104293306555495874560 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) (if (<=.f64 y #s(literal 3600000000000000132073514547267301215742291088019896688970228831156783206195674525742834554765312 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))))) |
(if (<=.f64 y #s(literal -35999999999999996577891170312201647607955364924342261219763716406930329005774104293306555495874560 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))) (if (<=.f64 y #s(literal 3600000000000000132073514547267301215742291088019896688970228831156783206195674525742834554765312 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (neg.f64 (fma.f64 z (/.f64 z y) z)))))) |
(if (<=.f64 y #s(literal -35999999999999996577891170312201647607955364924342261219763716406930329005774104293306555495874560 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 3600000000000000132073514547267301215742291088019896688970228831156783206195674525742834554765312 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)))) |
(if (<=.f64 y #s(literal -35999999999999996577891170312201647607955364924342261219763716406930329005774104293306555495874560 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 3600000000000000132073514547267301215742291088019896688970228831156783206195674525742834554765312 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| 8 622× | lower-fma.f64 |
| 8 622× | lower-fma.f32 |
| 6 356× | lower-fma.f64 |
| 6 356× | lower-fma.f32 |
| 5 096× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 446 | 6879 |
| 1 | 1455 | 6463 |
| 2 | 4349 | 6014 |
| 0 | 8298 | 5720 |
| 0 | 181 | 958 |
| 1 | 589 | 915 |
| 2 | 1842 | 852 |
| 3 | 7158 | 833 |
| 0 | 8263 | 790 |
| 0 | 39 | 213 |
| 0 | 53 | 211 |
| 1 | 221 | 211 |
| 2 | 1933 | 208 |
| 0 | 9379 | 203 |
| 0 | 444 | 6164 |
| 1 | 1449 | 5834 |
| 2 | 4321 | 5529 |
| 0 | 8423 | 5274 |
| 0 | 28 | 155 |
| 0 | 44 | 155 |
| 1 | 183 | 155 |
| 2 | 1591 | 155 |
| 0 | 8677 | 155 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 618 to 253 computations (59.1% saved)
Compiled 744 to 180 computations (75.8% saved)
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