
Time bar (total: 10.8s)
| 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)
| 3.2s | 8 256× | 0 | valid |
ival-sub: 2.5s (85.1% of total)ival-add: 237.0ms (8% of total)ival-div: 187.0ms (6.3% of total)ival-true: 6.0ms (0.2% of total)exact: 5.0ms (0.2% of total)ival-assert: 3.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 30 | 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 | 30 | 0 |
| ↳ | (/.f64 y z) | overflow | 30 | |
| ↳ | (-.f64 #s(literal 1 binary64) (/.f64 y z)) | overflow | 30 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 30 | 0 |
| - | 0 | 226 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 30 | 0 | 0 |
| - | 0 | 0 | 226 |
| number | freq |
|---|---|
| 0 | 226 |
| 1 | 30 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 27.0ms | 512× | 0 | valid |
Compiled 64 to 28 computations (56.3% saved)
ival-div: 7.0ms (55.3% of total)ival-add: 3.0ms (23.7% of total)ival-sub: 2.0ms (15.8% 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 |
| 702× | times-frac |
| 506× | div-sub |
| 396× | unsub-neg |
| 382× | distribute-rgt-in |
| 368× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 90 |
| 1 | 83 | 82 |
| 2 | 160 | 81 |
| 3 | 361 | 81 |
| 4 | 1104 | 81 |
| 5 | 2058 | 81 |
| 6 | 2769 | 81 |
| 7 | 3345 | 81 |
| 8 | 3484 | 81 |
| 9 | 3542 | 81 |
| 10 | 3578 | 81 |
| 11 | 3606 | 81 |
| 12 | 3606 | 81 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 17 | 9 |
| 2 | 25 | 9 |
| 3 | 34 | 9 |
| 4 | 50 | 9 |
| 5 | 66 | 9 |
| 6 | 87 | 9 |
| 7 | 115 | 9 |
| 8 | 153 | 9 |
| 9 | 212 | 9 |
| 10 | 343 | 9 |
| 11 | 451 | 9 |
| 12 | 632 | 9 |
| 13 | 780 | 9 |
| 14 | 853 | 9 |
| 15 | 894 | 9 |
| 16 | 896 | 9 |
| 17 | 900 | 9 |
| 0 | 900 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
Compiled 12 to 8 computations (33.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.9% | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 y z)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 368× | lower-fma.f64 |
| 368× | lower-fma.f32 |
| 240× | lower-*.f64 |
| 240× | lower-*.f32 |
| 192× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 17 | 24 |
| 2 | 25 | 24 |
| 3 | 34 | 24 |
| 4 | 50 | 24 |
| 5 | 66 | 24 |
| 6 | 87 | 24 |
| 7 | 115 | 24 |
| 8 | 153 | 24 |
| 9 | 212 | 24 |
| 10 | 343 | 24 |
| 11 | 451 | 24 |
| 12 | 632 | 24 |
| 13 | 780 | 24 |
| 14 | 853 | 24 |
| 15 | 894 | 24 |
| 16 | 896 | 24 |
| 17 | 900 | 24 |
| 0 | 900 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
#s(literal 1 binary64) |
(/.f64 y z) |
z |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
#s(literal 1 binary64) |
(/.f64 y z) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (/.f64 y z)) | |
| accuracy | 7.12093328978089 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 16.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-div: 6.0ms (66.4% of total)ival-sub: 1.0ms (11.1% of total)ival-add: 1.0ms (11.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ y (- 1 (/ y z))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 (* -1 (/ x z))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (/ (* y (+ x y)) z))) (taylor inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) (taylor inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) (taylor inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor -inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (/ (* y (+ x y)) z))) (taylor -inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) (taylor -inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) (taylor -inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (/ 1 z))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (/ 1 z))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (/ 1 z))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 z) (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 z) (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 z) (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- z y) z) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- z y) z) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- z y) z) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/ (+ x y) (- 1 (/ y z))) |
| 1.0ms | x | @ | 0 | (/ (+ x y) (- 1 (/ y z))) |
| 1.0ms | x | @ | inf | (/ (+ x y) (- 1 (/ y z))) |
| 1.0ms | z | @ | inf | (/ (+ x y) (- 1 (/ y z))) |
| 0.0ms | y | @ | -inf | (+ x y) |
| 1× | egg-herbie |
| 17 244× | lower-fma.f64 |
| 17 244× | lower-fma.f32 |
| 4 624× | lower-*.f64 |
| 4 624× | lower-*.f32 |
| 2 932× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 958 |
| 1 | 589 | 915 |
| 2 | 1842 | 852 |
| 3 | 7158 | 833 |
| 0 | 8263 | 790 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(* -1 (/ y z)) |
(* y (- (/ 1 y) (/ 1 z))) |
(* y (- (/ 1 y) (/ 1 z))) |
(* y (- (/ 1 y) (/ 1 z))) |
(* -1 (/ y z)) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(* -1 (/ y z)) |
(/ (- z y) z) |
(/ (- z y) z) |
(/ (- z y) z) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
| Outputs |
|---|
(/ y (- 1 (/ y z))) |
(*.f64 (/.f64 y (-.f64 z y)) z) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (*.f64 (/.f64 y (-.f64 z y)) z)) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (*.f64 (/.f64 y (-.f64 z y)) z)) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (*.f64 (/.f64 y (-.f64 z y)) z)) |
(/ x (- 1 (/ y z))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (/.f64 (*.f64 y x) (fma.f64 (/.f64 y z) (neg.f64 x) x))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (/.f64 (*.f64 y x) (fma.f64 (/.f64 y z) (neg.f64 x) x))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (/.f64 (*.f64 y x) (fma.f64 (/.f64 y z) (neg.f64 x) x))) |
(/ x (- 1 (/ y z))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (/.f64 (*.f64 y x) (fma.f64 (/.f64 y z) (neg.f64 x) x))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (/.f64 (*.f64 y x) (fma.f64 (/.f64 y z) (neg.f64 x) x))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 x (-.f64 z y)) z (/.f64 (*.f64 y x) (fma.f64 (/.f64 y z) (neg.f64 x) x))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(fma.f64 y (+.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 1 binary64)) (/.f64 x z)) x) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(fma.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) z) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 x z))) x) |
(* -1 z) |
(neg.f64 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(fma.f64 z (fma.f64 z (/.f64 (-.f64 (neg.f64 x) z) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(-.f64 (neg.f64 z) (/.f64 (fma.f64 z (+.f64 z x) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (fma.f64 z (/.f64 z y) z)) y)) y)) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y)) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z (+.f64 x (/.f64 (*.f64 z (+.f64 z x)) y)))) y)) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(-.f64 (neg.f64 z) (/.f64 (fma.f64 z (+.f64 z x) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (fma.f64 z (/.f64 z y) z)) y)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 z (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (fma.f64 z (/.f64 x (*.f64 y y)) (/.f64 z y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 z (fma.f64 z (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y))) (fma.f64 z (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 z (*.f64 y y)))) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 z (fma.f64 z (fma.f64 z (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y (*.f64 y y)))) (fma.f64 z (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 z (*.f64 y (*.f64 y y))))) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(+.f64 y (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) x)) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+.f64 x (+.f64 y (/.f64 (fma.f64 y (+.f64 y x) (/.f64 (*.f64 y (*.f64 (+.f64 y x) (fma.f64 y (/.f64 y z) y))) z)) z))) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x)) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+.f64 y (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) x)) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(+.f64 x (+.f64 y (/.f64 (fma.f64 y (+.f64 y x) (/.f64 (*.f64 y (*.f64 (+.f64 y x) (fma.f64 y (/.f64 y z) y))) z)) z))) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 x (/.f64 y x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 x (/.f64 y x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 x (/.f64 y x) x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* -1 (/ y z)) |
(/.f64 y (neg.f64 z)) |
(* y (- (/ 1 y) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* y (- (/ 1 y) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* y (- (/ 1 y) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* -1 (/ y z)) |
(/.f64 y (neg.f64 z)) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* -1 (/ y z)) |
(/.f64 y (neg.f64 z)) |
(/ (- z y) z) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/ (- z y) z) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/ (- z y) z) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
| 3 550× | lower-*.f64 |
| 3 550× | lower-*.f32 |
| 3 202× | lower-/.f32 |
| 3 198× | lower-/.f64 |
| 2 858× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 0 | 12 | 20 |
| 1 | 56 | 20 |
| 2 | 432 | 20 |
| 3 | 7705 | 20 |
| 0 | 8025 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+.f64 x y) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 y z) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) x) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) y)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) y) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) x)) |
(+.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(+.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (/.f64 y z))) |
(+.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (/.f64 y z))) |
(+.f64 (*.f64 (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (/.f64 y z)) (*.f64 (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) (*.f64 y (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))))) |
(+.f64 (*.f64 y (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (*.f64 (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))) |
(+.f64 (*.f64 (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))) |
(+.f64 (*.f64 (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (*.f64 (/.f64 y z) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)))) (*.f64 (/.f64 y z) (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 y z) (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (/.f64 (+.f64 x y) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (*.f64 y (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))))) |
(fma.f64 y (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (*.f64 (/.f64 y z) (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 y z) (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) x (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) y (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) x)) |
(fma.f64 (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 y z) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))) |
(fma.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(fma.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (/.f64 y z))) |
(fma.f64 (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (/.f64 y z))) |
(fma.f64 (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (/.f64 y z) (*.f64 (/.f64 (+.f64 x y) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (+.f64 x y) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (+.f64 (/.f64 y z) #s(literal -1 binary64))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)))) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(/.f64 (-.f64 (neg.f64 y) x) (+.f64 (/.f64 y z) #s(literal -1 binary64))) |
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (neg.f64 x) y) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (+.f64 (neg.f64 x) y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (+.f64 x y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 (neg.f64 x) y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))) |
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)))))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 y x))) |
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)) (fma.f64 x x (*.f64 y y)))) |
(/.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) |
(/.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (neg.f64 (+.f64 (/.f64 y (neg.f64 z)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (+.f64 (/.f64 y (neg.f64 z)) #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (neg.f64 z)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 y (/.f64 (*.f64 y y) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (fma.f64 y (/.f64 (*.f64 y y) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 z z) (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 y (/.f64 (*.f64 y y) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (/.f64 (*.f64 y y) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 z z) (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) (+.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) (neg.f64 (+.f64 (/.f64 y (neg.f64 z)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 z (*.f64 z z)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 z (*.f64 z z)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 z (*.f64 z z)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z z))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z z))) (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z z))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal 1 binary64)) (-.f64 (/.f64 y (neg.f64 z)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 z (*.f64 z z)))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (*.f64 z (*.f64 z z)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z z))) (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z z))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 z z))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 y (/.f64 (*.f64 y y) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) (fma.f64 y (/.f64 (*.f64 y y) (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (fma.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 z z) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (fma.f64 y (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y (neg.f64 z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) (/.f64 y (*.f64 z z)) #s(literal 1 binary64)) (fma.f64 y (/.f64 (*.f64 y y) (*.f64 z (*.f64 z z))) #s(literal 1 binary64))) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 y (neg.f64 z))) |
(neg.f64 (/.f64 y (neg.f64 z))) |
(/.f64 y z) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 y))) |
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) z) |
(pow.f64 (/.f64 z y) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 (/.f64 y z) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) y) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 z))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) |
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64))) |
Compiled 10 488 to 999 computations (90.5% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 425 | 12 | 437 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 425 | 13 | 438 |
| Status | Accuracy | Program |
|---|---|---|
| 88.8% | (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) | |
| ✓ | 88.9% | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 88.8% | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) | |
| 35.3% | (/.f64 (+.f64 x y) #s(approx (- 1 (/ y z)) (/.f64 y (neg.f64 z)))) | |
| 88.7% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) | |
| ▶ | 88.8% | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) |
| ▶ | 43.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))) |
| 54.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x))) | |
| 55.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) | |
| ▶ | 42.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
| 49.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) | |
| ▶ | 41.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
| ▶ | 27.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
Compiled 294 to 176 computations (40.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 z (+.f64 z x)) y) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))) | |
| cost-diff | 128 | (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y)) | |
| cost-diff | 0 | (-.f64 z y) | |
| cost-diff | 0 | (/.f64 y (-.f64 z y)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (-.f64 z y)) z) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 z (/.f64 x y) z) | |
| cost-diff | 0 | (neg.f64 (fma.f64 z (/.f64 x y) z)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (+.f64 (/.f64 y z) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) |
| 1 984× | lower-fma.f32 |
| 1 982× | lower-fma.f64 |
| 968× | lower-*.f32 |
| 962× | lower-*.f64 |
| 756× | times-frac |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 168 |
| 0 | 46 | 168 |
| 1 | 86 | 167 |
| 2 | 165 | 165 |
| 3 | 327 | 164 |
| 4 | 630 | 164 |
| 5 | 1520 | 164 |
| 6 | 2885 | 164 |
| 7 | 3426 | 164 |
| 8 | 3559 | 164 |
| 9 | 3622 | 164 |
| 10 | 3645 | 164 |
| 11 | 3645 | 164 |
| 0 | 3645 | 164 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) |
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(+.f64 (/.f64 y z) #s(literal -1 binary64)) |
(/.f64 y z) |
y |
z |
(+.f64 x y) |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(fma.f64 z (/.f64 x y) z) |
z |
(/.f64 x y) |
x |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
(*.f64 (/.f64 y (-.f64 z y)) z) |
(/.f64 y (-.f64 z y)) |
y |
(-.f64 z y) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y)) |
(neg.f64 z) |
z |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(*.f64 z (+.f64 z x)) |
(+.f64 z x) |
x |
y |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) |
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) |
#s(literal -1 binary64) |
(+.f64 (/.f64 y z) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
(+.f64 x y) |
(+.f64 y x) |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(fma.f64 z (/.f64 x y) z) |
z |
(/.f64 x y) |
x |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 y z) (-.f64 z y))) |
(*.f64 (/.f64 y (-.f64 z y)) z) |
(/.f64 (*.f64 y z) (-.f64 z y)) |
(/.f64 y (-.f64 z y)) |
y |
(-.f64 z y) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 (+.f64 z x) y) z))) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y)) |
(neg.f64 (fma.f64 z (/.f64 (+.f64 z x) y) z)) |
(neg.f64 z) |
z |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(*.f64 z (+.f64 z x)) |
(+.f64 z x) |
x |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y)) | |
| accuracy | 0.0078125 | (*.f64 z (+.f64 z x)) | |
| accuracy | 5.953320696220239 | (/.f64 (*.f64 z (+.f64 z x)) y) | |
| accuracy | 34.55240364990243 | #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))) | |
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0.015625 | (/.f64 y (-.f64 z y)) | |
| accuracy | 8.702977884084376 | (*.f64 (/.f64 y (-.f64 z y)) z) | |
| accuracy | 36.38061449793555 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (neg.f64 (fma.f64 z (/.f64 x y) z)) | |
| accuracy | 4.3215853654450695 | (fma.f64 z (/.f64 x y) z) | |
| accuracy | 34.285284123196966 | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 46.17237739205269 | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 y z) #s(literal -1 binary64)) | |
| accuracy | 0.22484644626619288 | (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) | |
| accuracy | 6.947244450973427 | (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) |
| 52.0ms | 256× | 0 | valid |
Compiled 142 to 26 computations (81.7% saved)
ival-div: 15.0ms (39.8% of total)ival-sub: 10.0ms (26.5% of total)ival-mult: 6.0ms (15.9% of total)ival-add: 5.0ms (13.3% of total)ival-neg: 2.0ms (5.3% 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 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 y z) #s(literal -1 binary64)) (patch (+.f64 (/.f64 y z) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y 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))) (neg.f64 (fma.f64 z (/.f64 x y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (fma.f64 z (/.f64 x y) z)) (patch (neg.f64 (fma.f64 z (/.f64 x y) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z (/.f64 x y) z) (patch (fma.f64 z (/.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y (-.f64 z y)) z) (patch (*.f64 (/.f64 y (-.f64 z y)) z) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 z y)) (patch (/.f64 y (-.f64 z y)) #<representation binary64>) () ()) |
#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y)) (patch (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 z (+.f64 z x)) y) (patch (/.f64 (*.f64 z (+.f64 z x)) y) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 z (+.f64 z x)) (patch (*.f64 z (+.f64 z x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (/ x z)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (+ (* y (+ (/ 1 z) (/ x (pow z 2)))) (/ x z))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (+ 1 (+ (* y (+ (* y (+ (/ 1 (pow z 2)) (/ x (pow z 3)))) (+ (/ 1 z) (/ x (pow z 2))))) (/ x z))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (+ (* -1 (/ (* z (- (* x z) (* -1 (pow z 2)))) (pow y 2))) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y)))) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (+ (* -1 (/ (* z (- (* x z) (* -1 (pow z 2)))) (pow y 2))) (+ (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) (pow y 3))) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))))) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (* z (+ x y)) (pow y 2))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (+ (* -1 (/ (* z (+ x y)) (pow y 3))) (* -1 (/ (+ x y) (pow y 2))))))) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (+ (* -1 (/ (+ x y) (pow y 2))) (* z (+ (* -1 (/ (* z (+ x y)) (pow y 4))) (* -1 (/ (+ x y) (pow y 3))))))))) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor inf z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (/ (* y (+ x y)) z))) (taylor inf z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (/ (* y (+ x y)) z) (/ (* (pow y 2) (+ x y)) (pow z 2))))) (taylor inf z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (+ (/ (* y (+ x y)) z) (+ (/ (* (pow y 2) (+ x y)) (pow z 2)) (/ (* (pow y 3) (+ x y)) (pow z 3)))))) (taylor inf z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor -inf z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (/ (* y (+ x y)) z))) (taylor -inf z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) #<representation binary64>) () ())) ()) |
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138 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | z | @ | -inf | (* z (+ z x)) |
| 6.0ms | y | @ | -inf | (+ (/ y z) -1) |
| 5.0ms | x | @ | -inf | (/ (+ x y) (- 1 (/ y z))) |
| 2.0ms | z | @ | inf | (* (/ y (- z y)) z) |
| 2.0ms | x | @ | 0 | (* (/ -1 (+ (/ y z) -1)) (+ x y)) |
| 1× | egg-herbie |
| 9 030× | lower-fma.f64 |
| 9 030× | lower-fma.f32 |
| 4 464× | lower-*.f64 |
| 4 464× | lower-*.f32 |
| 2 372× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 538 | 6356 |
| 1 | 1746 | 5953 |
| 2 | 5201 | 5676 |
| 0 | 8153 | 5402 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* y (+ 1 (/ x z)))) |
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1 |
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-1 |
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x |
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(* -1 z) |
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x |
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y |
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y |
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y |
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(/ y z) |
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-1 |
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(- (* -1 (/ (pow z 3) (pow y 3))) (+ 1 (+ (/ z y) (/ (pow z 2) (pow y 2))))) |
-1 |
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-1 |
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(* -1 y) |
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z |
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z |
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z |
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(* -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 (/ x y)))) |
(* z (- (* -1 (/ z y)) (+ 1 (/ x y)))) |
(* z (- (* -1 (/ z y)) (+ 1 (/ x y)))) |
(* z (- (* -1 (/ z y)) (+ 1 (/ x y)))) |
(* -1 (/ (pow z 2) y)) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(* -1 (/ (pow z 2) y)) |
(* (pow z 2) (- (* -1 (/ (- 1 (* -1 (/ x y))) z)) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ (- 1 (* -1 (/ x y))) z)) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ (- 1 (* -1 (/ x y))) z)) (/ 1 y))) |
(* -1 (+ z (/ (pow z 2) y))) |
(- (* -1 (/ (* x z) y)) (+ z (/ (pow z 2) y))) |
(- (* -1 (/ (* x z) y)) (+ z (/ (pow z 2) y))) |
(- (* -1 (/ (* x z) y)) (+ z (/ (pow z 2) y))) |
(* -1 (/ (* x z) y)) |
(* x (- (* -1 (/ (+ z (/ (pow z 2) y)) x)) (/ z y))) |
(* x (- (* -1 (/ (+ z (/ (pow z 2) y)) x)) (/ z y))) |
(* x (- (* -1 (/ (+ z (/ (pow z 2) y)) x)) (/ z y))) |
(* -1 (/ (* x z) y)) |
(* -1 (* x (- (+ (/ z x) (/ (pow z 2) (* x y))) (* -1 (/ z y))))) |
(* -1 (* x (- (+ (/ z x) (/ (pow z 2) (* x y))) (* -1 (/ z y))))) |
(* -1 (* x (- (+ (/ z x) (/ (pow z 2) (* x y))) (* -1 (/ z y))))) |
(* -1 (/ (* z (+ x z)) y)) |
(/ (- (* -1 (* y z)) (* z (+ x z))) y) |
(/ (- (* -1 (* y z)) (* z (+ x z))) y) |
(/ (- (* -1 (* y z)) (* 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) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(/ (* x z) y) |
(* z (+ (/ x y) (/ z y))) |
(* z (+ (/ x y) (/ z y))) |
(* z (+ (/ x y) (/ z y))) |
(/ (pow z 2) y) |
(* (pow z 2) (+ (/ 1 y) (/ x (* y z)))) |
(* (pow z 2) (+ (/ 1 y) (/ x (* y z)))) |
(* (pow z 2) (+ (/ 1 y) (/ x (* y z)))) |
(/ (pow z 2) y) |
(* (pow z 2) (+ (/ 1 y) (/ x (* y z)))) |
(* (pow z 2) (+ (/ 1 y) (/ x (* y z)))) |
(* (pow z 2) (+ (/ 1 y) (/ x (* y z)))) |
(/ (pow z 2) y) |
(+ (/ (* x z) y) (/ (pow z 2) y)) |
(+ (/ (* x z) y) (/ (pow z 2) y)) |
(+ (/ (* x z) y) (/ (pow z 2) y)) |
(/ (* x z) y) |
(* x (+ (/ z y) (/ (pow z 2) (* x y)))) |
(* x (+ (/ z y) (/ (pow z 2) (* x y)))) |
(* x (+ (/ z y) (/ (pow z 2) (* x y)))) |
(/ (* x z) y) |
(* -1 (* x (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))))) |
(* -1 (* x (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))))) |
(* -1 (* x (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))))) |
(/ (* z (+ x z)) y) |
(/ (* z (+ x z)) y) |
(/ (* z (+ x z)) y) |
(/ (* z (+ x z)) y) |
(/ (* z (+ x z)) y) |
(/ (* z (+ x z)) y) |
(/ (* z (+ x z)) y) |
(/ (* z (+ x z)) y) |
(/ (* z (+ x z)) y) |
(/ (* z (+ x z)) y) |
(/ (* z (+ x z)) y) |
(/ (* z (+ x z)) y) |
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))) |
(* x z) |
(* z (+ x z)) |
(* z (+ x z)) |
(* z (+ x z)) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ x z))) |
(* (pow z 2) (+ 1 (/ x z))) |
(* (pow z 2) (+ 1 (/ x z))) |
(pow z 2) |
(* (pow z 2) (+ 1 (/ x z))) |
(* (pow z 2) (+ 1 (/ x z))) |
(* (pow z 2) (+ 1 (/ x z))) |
(pow z 2) |
(+ (* x z) (pow z 2)) |
(+ (* x z) (pow z 2)) |
(+ (* x z) (pow z 2)) |
(* x z) |
(* x (+ z (/ (pow z 2) x))) |
(* x (+ z (/ (pow z 2) x))) |
(* x (+ z (/ (pow z 2) x))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (pow z 2) x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (pow z 2) x))))) |
| Outputs |
|---|
x |
(+ x (* y (+ 1 (/ x z)))) |
(+.f64 x (fma.f64 y (/.f64 x z) y)) |
(+ x (* y (+ 1 (+ (* y (+ (/ 1 z) (/ x (pow z 2)))) (/ x z))))) |
(fma.f64 y (+.f64 (/.f64 x z) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y z) #s(literal 1 binary64))) x) |
(+ x (* y (+ 1 (+ (* y (+ (* y (+ (/ 1 (pow z 2)) (/ x (pow z 3)))) (+ (/ 1 z) (/ x (pow z 2))))) (/ x z))))) |
(fma.f64 y (+.f64 (/.f64 x z) (fma.f64 y (+.f64 (fma.f64 y (/.f64 x (*.f64 z (*.f64 z z))) (/.f64 y (*.f64 z z))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) z)) #s(literal 1 binary64))) x) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(neg.f64 (fma.f64 (+.f64 x z) (/.f64 z y) z)) |
(+ (* -1 z) (+ (* -1 (/ (* z (- (* x z) (* -1 (pow z 2)))) (pow y 2))) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y)))) |
(-.f64 (neg.f64 z) (fma.f64 (*.f64 z (+.f64 x z)) (/.f64 z (*.f64 y y)) (/.f64 (*.f64 z (+.f64 x z)) y))) |
(+ (* -1 z) (+ (* -1 (/ (* z (- (* x z) (* -1 (pow z 2)))) (pow y 2))) (+ (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) (pow y 3))) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))))) |
(-.f64 (neg.f64 (fma.f64 (*.f64 z (+.f64 x z)) (/.f64 z (*.f64 y y)) (fma.f64 (*.f64 z (+.f64 x z)) (/.f64 (*.f64 z z) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 z (+.f64 x z)) y)))) z) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(neg.f64 (fma.f64 (+.f64 x z) (/.f64 z y) z)) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(-.f64 (neg.f64 z) (/.f64 (fma.f64 z z (*.f64 z (fma.f64 (+.f64 x z) (/.f64 z y) x))) y)) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(-.f64 (neg.f64 z) (/.f64 (fma.f64 z (+.f64 x z) (/.f64 (fma.f64 z (*.f64 z (/.f64 (*.f64 z (+.f64 x z)) y)) (*.f64 z (*.f64 z (+.f64 x z)))) y)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(/.f64 (*.f64 z (+.f64 x y)) (neg.f64 y)) |
(* z (+ (* -1 (/ (* z (+ x y)) (pow y 2))) (* -1 (/ (+ x y) y)))) |
(neg.f64 (*.f64 (fma.f64 z (/.f64 (+.f64 x y) (*.f64 y y)) (/.f64 (+.f64 x y) y)) z)) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (+ (* -1 (/ (* z (+ x y)) (pow y 3))) (* -1 (/ (+ x y) (pow y 2))))))) |
(*.f64 z (-.f64 (*.f64 (neg.f64 z) (fma.f64 (+.f64 x y) (/.f64 z (*.f64 y (*.f64 y y))) (/.f64 (+.f64 x y) (*.f64 y y)))) (/.f64 (+.f64 x y) y))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (+ (* -1 (/ (+ x y) (pow y 2))) (* z (+ (* -1 (/ (* z (+ x y)) (pow y 4))) (* -1 (/ (+ x y) (pow y 3))))))))) |
(*.f64 z (fma.f64 z (-.f64 (*.f64 (neg.f64 z) (fma.f64 (+.f64 x y) (/.f64 z (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 x y) (*.f64 y (*.f64 y y))))) (/.f64 (+.f64 x y) (*.f64 y y))) (neg.f64 (/.f64 (+.f64 x y) y)))) |
(+ x y) |
(+.f64 x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 x (fma.f64 y (/.f64 (+.f64 x y) z) y)) |
(+ x (+ y (+ (/ (* y (+ x y)) z) (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+.f64 (+.f64 x y) (/.f64 (fma.f64 y (+.f64 x y) (/.f64 (*.f64 y (*.f64 y (+.f64 x y))) z)) z)) |
(+ x (+ y (+ (/ (* y (+ x y)) z) (+ (/ (* (pow y 2) (+ x y)) (pow z 2)) (/ (* (pow y 3) (+ x y)) (pow z 3)))))) |
(+.f64 (+.f64 x y) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (+.f64 x y) (*.f64 z (*.f64 z z))) (/.f64 (fma.f64 y (+.f64 x y) (/.f64 (*.f64 y (*.f64 y (+.f64 x y))) z)) z))) |
(+ x y) |
(+.f64 x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 x (fma.f64 y (/.f64 (+.f64 x y) z) y)) |
(+ x (+ y (* -1 (/ (+ (* -1 (* y (+ x y))) (* -1 (/ (* (pow y 2) (+ x y)) z))) z)))) |
(+.f64 (+.f64 x y) (/.f64 (fma.f64 y (+.f64 x y) (/.f64 (*.f64 y (*.f64 y (+.f64 x y))) z)) z)) |
(+ x (+ y (* -1 (/ (+ (* -1 (* y (+ x y))) (* -1 (/ (+ (* (pow y 2) (+ x y)) (/ (* (pow y 3) (+ x y)) z)) z))) z)))) |
(+.f64 y (+.f64 x (/.f64 (fma.f64 y (+.f64 x y) (/.f64 (fma.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 x y))) z) (*.f64 y (*.f64 y (+.f64 x y)))) z)) z))) |
(* -1 (/ y (- (/ y z) 1))) |
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+ (* -1 (/ x (- (/ y z) 1))) (* -1 (/ y (- (/ y z) 1)))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(+ (* -1 (/ x (- (/ y z) 1))) (* -1 (/ y (- (/ y z) 1)))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(+ (* -1 (/ x (- (/ y z) 1))) (* -1 (/ y (- (/ y z) 1)))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (/ x (- (/ y z) 1))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* x (- (* -1 (/ y (* x (- (/ y z) 1)))) (/ 1 (- (/ y z) 1)))) |
(fma.f64 x (/.f64 y (fma.f64 x (/.f64 y (neg.f64 z)) x)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* x (- (* -1 (/ y (* x (- (/ y z) 1)))) (/ 1 (- (/ y z) 1)))) |
(fma.f64 x (/.f64 y (fma.f64 x (/.f64 y (neg.f64 z)) x)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* x (- (* -1 (/ y (* x (- (/ y z) 1)))) (/ 1 (- (/ y z) 1)))) |
(fma.f64 x (/.f64 y (fma.f64 x (/.f64 y (neg.f64 z)) x)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (/ x (- (/ y z) 1))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* -1 (* x (+ (/ 1 (- (/ y z) 1)) (/ y (* x (- (/ y z) 1)))))) |
(fma.f64 x (/.f64 y (fma.f64 x (/.f64 y (neg.f64 z)) x)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (* x (+ (/ 1 (- (/ y z) 1)) (/ y (* x (- (/ y z) 1)))))) |
(fma.f64 x (/.f64 y (fma.f64 x (/.f64 y (neg.f64 z)) x)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (* x (+ (/ 1 (- (/ y z) 1)) (/ y (* x (- (/ y z) 1)))))) |
(fma.f64 x (/.f64 y (fma.f64 x (/.f64 y (neg.f64 z)) x)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y z)) |
(+.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* y (+ (/ 1 z) (/ y (pow z 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y z) y) z)) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (/.f64 y (*.f64 z (*.f64 z z))) (/.f64 y (*.f64 z z))) (/.f64 y z))) |
(* -1 (/ z y)) |
(/.f64 z (neg.f64 y)) |
(/ (+ (* -1 z) (* -1 (/ (pow z 2) y))) y) |
(neg.f64 (/.f64 (fma.f64 z (/.f64 z y) z) y)) |
(/ (- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y)) y) |
(/.f64 (-.f64 (/.f64 (fma.f64 z (/.f64 (*.f64 z z) y) (*.f64 z z)) (neg.f64 y)) z) y) |
(/ (- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2)))) y) |
(/.f64 (+.f64 z (/.f64 (fma.f64 z z (/.f64 (fma.f64 z (*.f64 z z) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) y)) y)) y)) (neg.f64 y)) |
(* -1 (/ z y)) |
(/.f64 z (neg.f64 y)) |
(* -1 (/ (+ z (/ (pow z 2) y)) y)) |
(neg.f64 (/.f64 (fma.f64 z (/.f64 z y) z) y)) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y))) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 z (/.f64 (*.f64 z z) y) (*.f64 z z)) (neg.f64 y)) z) y) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (* -1 (pow z 3))) y)) (pow z 2)) y))) y)) |
(/.f64 (+.f64 z (/.f64 (fma.f64 z z (/.f64 (fma.f64 z (*.f64 z z) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) y)) y)) y)) (neg.f64 y)) |
(* -1 (/ z y)) |
(/.f64 z (neg.f64 y)) |
(* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) |
(neg.f64 (/.f64 (fma.f64 z (/.f64 z y) z) y)) |
(* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 z (fma.f64 z (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 z (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y))) |
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 z (fma.f64 z (fma.f64 z (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (/.f64 z (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y z)) |
(+.f64 #s(literal 1 binary64) (/.f64 y z)) |
(- (+ 1 (/ (pow y 2) (pow z 2))) (* -1 (/ y z))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y z) y) z)) |
(- (+ 1 (/ (pow y 3) (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (pow z 2))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 (fma.f64 y (/.f64 y z) y) z) y) z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y z)) |
(+.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) y) z))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y z) y) z)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (* -1 (pow y 2))) z)) y) z))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 (fma.f64 y (/.f64 y z) y) z) y) z)) |
-1 |
#s(literal -1 binary64) |
(- (/ y z) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 y z)) |
(- (/ y z) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 y z)) |
(- (/ y z) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 y z)) |
(/ y z) |
(/.f64 y z) |
(* y (- (/ 1 z) (/ 1 y))) |
(+.f64 #s(literal -1 binary64) (/.f64 y z)) |
(* y (- (/ 1 z) (/ 1 y))) |
(+.f64 #s(literal -1 binary64) (/.f64 y z)) |
(* y (- (/ 1 z) (/ 1 y))) |
(+.f64 #s(literal -1 binary64) (/.f64 y z)) |
(/ y z) |
(/.f64 y z) |
(* -1 (* y (- (/ 1 y) (/ 1 z)))) |
(+.f64 #s(literal -1 binary64) (/.f64 y z)) |
(* -1 (* y (- (/ 1 y) (/ 1 z)))) |
(+.f64 #s(literal -1 binary64) (/.f64 y z)) |
(* -1 (* y (- (/ 1 y) (/ 1 z)))) |
(+.f64 #s(literal -1 binary64) (/.f64 y z)) |
(/ y z) |
(/.f64 y z) |
(/ (+ y (* -1 z)) z) |
(/.f64 (-.f64 y z) z) |
(/ (+ y (* -1 z)) z) |
(/.f64 (-.f64 y z) z) |
(/ (+ y (* -1 z)) z) |
(/.f64 (-.f64 y z) z) |
-1 |
#s(literal -1 binary64) |
(- (/ y z) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 y z)) |
(- (/ y z) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 y z)) |
(- (/ y z) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 y z)) |
-1 |
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(* z (- (* -1 (/ z y)) (+ 1 (/ x y)))) |
(neg.f64 (fma.f64 (+.f64 x z) (/.f64 z y) z)) |
(* -1 (/ (pow z 2) y)) |
(neg.f64 (/.f64 (*.f64 z z) y)) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(*.f64 (*.f64 z z) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 #s(literal -1 binary64) y))) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(*.f64 (*.f64 z z) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 #s(literal -1 binary64) y))) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(*.f64 (*.f64 z z) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 #s(literal -1 binary64) y))) |
(* -1 (/ (pow z 2) y)) |
(neg.f64 (/.f64 (*.f64 z z) y)) |
(* (pow z 2) (- (* -1 (/ (- 1 (* -1 (/ x y))) z)) (/ 1 y))) |
(*.f64 (*.f64 z z) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 #s(literal -1 binary64) y))) |
(* (pow z 2) (- (* -1 (/ (- 1 (* -1 (/ x y))) z)) (/ 1 y))) |
(*.f64 (*.f64 z z) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 #s(literal -1 binary64) y))) |
(* (pow z 2) (- (* -1 (/ (- 1 (* -1 (/ x y))) z)) (/ 1 y))) |
(*.f64 (*.f64 z z) (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (/.f64 #s(literal -1 binary64) y))) |
(* -1 (+ z (/ (pow z 2) y))) |
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 z y))) |
(- (* -1 (/ (* x z) y)) (+ z (/ (pow z 2) y))) |
(neg.f64 (fma.f64 (+.f64 x z) (/.f64 z y) z)) |
(- (* -1 (/ (* x z) y)) (+ z (/ (pow z 2) y))) |
(neg.f64 (fma.f64 (+.f64 x z) (/.f64 z y) z)) |
(- (* -1 (/ (* x z) y)) (+ z (/ (pow z 2) y))) |
(neg.f64 (fma.f64 (+.f64 x z) (/.f64 z y) z)) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(* x (- (* -1 (/ (+ z (/ (pow z 2) y)) x)) (/ z y))) |
(*.f64 x (-.f64 (/.f64 (fma.f64 z (/.f64 z y) z) (neg.f64 x)) (/.f64 z y))) |
(* x (- (* -1 (/ (+ z (/ (pow z 2) y)) x)) (/ z y))) |
(*.f64 x (-.f64 (/.f64 (fma.f64 z (/.f64 z y) z) (neg.f64 x)) (/.f64 z y))) |
(* x (- (* -1 (/ (+ z (/ (pow z 2) y)) x)) (/ z y))) |
(*.f64 x (-.f64 (/.f64 (fma.f64 z (/.f64 z y) z) (neg.f64 x)) (/.f64 z y))) |
(* -1 (/ (* x z) y)) |
(/.f64 (*.f64 x (neg.f64 z)) y) |
(* -1 (* x (- (+ (/ z x) (/ (pow z 2) (* x y))) (* -1 (/ z y))))) |
(*.f64 (+.f64 (/.f64 z y) (fma.f64 z (/.f64 z (*.f64 x y)) (/.f64 z x))) (neg.f64 x)) |
(* -1 (* x (- (+ (/ z x) (/ (pow z 2) (* x y))) (* -1 (/ z y))))) |
(*.f64 (+.f64 (/.f64 z y) (fma.f64 z (/.f64 z (*.f64 x y)) (/.f64 z x))) (neg.f64 x)) |
(* -1 (* x (- (+ (/ z x) (/ (pow z 2) (* x y))) (* -1 (/ z y))))) |
(*.f64 (+.f64 (/.f64 z y) (fma.f64 z (/.f64 z (*.f64 x y)) (/.f64 z x))) (neg.f64 x)) |
(* -1 (/ (* z (+ x z)) y)) |
(neg.f64 (/.f64 (*.f64 z (+.f64 x z)) y)) |
(/ (- (* -1 (* y z)) (* z (+ x z))) y) |
(/.f64 (*.f64 z (-.f64 (neg.f64 y) (+.f64 x z))) y) |
(/ (- (* -1 (* y z)) (* z (+ x z))) y) |
(/.f64 (*.f64 z (-.f64 (neg.f64 y) (+.f64 x z))) y) |
(/ (- (* -1 (* y z)) (* z (+ x z))) y) |
(/.f64 (*.f64 z (-.f64 (neg.f64 y) (+.f64 x z))) y) |
(* -1 z) |
(neg.f64 z) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(neg.f64 (fma.f64 (+.f64 x z) (/.f64 z y) z)) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(neg.f64 (fma.f64 (+.f64 x z) (/.f64 z y) z)) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(neg.f64 (fma.f64 (+.f64 x z) (/.f64 z y) z)) |
(* -1 z) |
(neg.f64 z) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(neg.f64 (fma.f64 (+.f64 x z) (/.f64 z y) z)) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(neg.f64 (fma.f64 (+.f64 x z) (/.f64 z y) z)) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(neg.f64 (fma.f64 (+.f64 x z) (/.f64 z y) z)) |
(/ y (- 1 (/ y z))) |
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 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 x (/.f64 y (fma.f64 x (/.f64 y (neg.f64 z)) x)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (fma.f64 x (/.f64 y (neg.f64 z)) x)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (fma.f64 x (/.f64 y (neg.f64 z)) x)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (fma.f64 x (/.f64 y (neg.f64 z)) x)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (fma.f64 x (/.f64 y (neg.f64 z)) x)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (fma.f64 x (/.f64 y (neg.f64 z)) x)) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+.f64 x (fma.f64 y (/.f64 x z) y)) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(fma.f64 y (+.f64 (/.f64 x z) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y z) #s(literal 1 binary64))) x) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(fma.f64 y (fma.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y (*.f64 z z)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) z)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) x) |
(* -1 z) |
(neg.f64 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(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 (neg.f64 z) (fma.f64 (*.f64 z (+.f64 x z)) (/.f64 z (*.f64 y y)) (/.f64 (*.f64 z (+.f64 x z)) y))) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(-.f64 (neg.f64 (fma.f64 (*.f64 z (+.f64 x z)) (/.f64 z (*.f64 y y)) (fma.f64 (*.f64 z (+.f64 x z)) (/.f64 (*.f64 z z) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 z (+.f64 x z)) y)))) z) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(neg.f64 (fma.f64 (+.f64 x z) (/.f64 z y) z)) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(-.f64 (neg.f64 z) (/.f64 (fma.f64 z z (*.f64 z (fma.f64 (+.f64 x z) (/.f64 z y) x))) y)) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(-.f64 (neg.f64 z) (/.f64 (fma.f64 z (+.f64 x z) (/.f64 (fma.f64 z (*.f64 z (/.f64 (*.f64 z (+.f64 x z)) y)) (*.f64 z (*.f64 z (+.f64 x z)))) y)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(/.f64 (*.f64 z (+.f64 x y)) (neg.f64 y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (neg.f64 z) (+.f64 (/.f64 (+.f64 x y) y) (fma.f64 z (/.f64 x (*.f64 y y)) (/.f64 z y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 z (fma.f64 z (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y))) (fma.f64 z (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 z (*.f64 y y)))) (neg.f64 (/.f64 (+.f64 x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 z (fma.f64 z (-.f64 (fma.f64 z (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y (*.f64 y y)))) (fma.f64 z (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 z (*.f64 y (*.f64 y y))))) (/.f64 #s(literal -1 binary64) y)) (/.f64 x (*.f64 y y))) (neg.f64 (/.f64 (+.f64 x y) y)))) |
(+ x y) |
(+.f64 x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 x (fma.f64 y (/.f64 (+.f64 x y) z) y)) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(+.f64 (+.f64 x y) (/.f64 (fma.f64 y (+.f64 x y) (/.f64 (*.f64 y (*.f64 y (+.f64 x y))) z)) z)) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+.f64 (+.f64 x y) (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (+.f64 x y) (*.f64 z (*.f64 z z))) (/.f64 (fma.f64 y (+.f64 x y) (/.f64 (*.f64 y (*.f64 y (+.f64 x y))) z)) z))) |
(+ x y) |
(+.f64 x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 x (fma.f64 y (/.f64 (+.f64 x y) z) y)) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+.f64 (+.f64 x y) (/.f64 (fma.f64 y (+.f64 x y) (/.f64 (*.f64 y (*.f64 y (+.f64 x y))) z)) z)) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(+.f64 y (+.f64 x (/.f64 (fma.f64 y (+.f64 x y) (/.f64 (fma.f64 y (/.f64 (*.f64 y (*.f64 y (+.f64 x y))) z) (*.f64 y (*.f64 y (+.f64 x y)))) z)) z))) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(* z (+ (/ x y) (/ z y))) |
(/.f64 (*.f64 z (+.f64 x z)) y) |
(* z (+ (/ x y) (/ z y))) |
(/.f64 (*.f64 z (+.f64 x z)) y) |
(* z (+ (/ x y) (/ z y))) |
(/.f64 (*.f64 z (+.f64 x z)) y) |
(/ (pow z 2) y) |
(/.f64 (*.f64 z z) y) |
(* (pow z 2) (+ (/ 1 y) (/ x (* y z)))) |
(*.f64 z (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))) |
(* (pow z 2) (+ (/ 1 y) (/ x (* y z)))) |
(*.f64 z (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))) |
(* (pow z 2) (+ (/ 1 y) (/ x (* y z)))) |
(*.f64 z (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))) |
(/ (pow z 2) y) |
(/.f64 (*.f64 z z) y) |
(* (pow z 2) (+ (/ 1 y) (/ x (* y z)))) |
(*.f64 z (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))) |
(* (pow z 2) (+ (/ 1 y) (/ x (* y z)))) |
(*.f64 z (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))) |
(* (pow z 2) (+ (/ 1 y) (/ x (* y z)))) |
(*.f64 z (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y z))))) |
(/ (pow z 2) y) |
(/.f64 (*.f64 z z) y) |
(+ (/ (* x z) y) (/ (pow z 2) y)) |
(/.f64 (*.f64 z (+.f64 x z)) y) |
(+ (/ (* x z) y) (/ (pow z 2) y)) |
(/.f64 (*.f64 z (+.f64 x z)) y) |
(+ (/ (* x z) y) (/ (pow z 2) y)) |
(/.f64 (*.f64 z (+.f64 x z)) y) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(* x (+ (/ z y) (/ (pow z 2) (* x y)))) |
(*.f64 x (fma.f64 z (/.f64 z (*.f64 x y)) (/.f64 z y))) |
(* x (+ (/ z y) (/ (pow z 2) (* x y)))) |
(*.f64 x (fma.f64 z (/.f64 z (*.f64 x y)) (/.f64 z y))) |
(* x (+ (/ z y) (/ (pow z 2) (* x y)))) |
(*.f64 x (fma.f64 z (/.f64 z (*.f64 x y)) (/.f64 z y))) |
(/ (* x z) y) |
(/.f64 (*.f64 x z) y) |
(* -1 (* x (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))))) |
(*.f64 x (fma.f64 z (/.f64 z (*.f64 x y)) (/.f64 z y))) |
(* -1 (* x (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))))) |
(*.f64 x (fma.f64 z (/.f64 z (*.f64 x y)) (/.f64 z y))) |
(* -1 (* x (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))))) |
(*.f64 x (fma.f64 z (/.f64 z (*.f64 x y)) (/.f64 z y))) |
(/ (* z (+ x z)) y) |
(/.f64 (*.f64 z (+.f64 x z)) y) |
(/ (* z (+ x z)) y) |
(/.f64 (*.f64 z (+.f64 x z)) y) |
(/ (* z (+ x z)) y) |
(/.f64 (*.f64 z (+.f64 x z)) y) |
(/ (* z (+ x z)) y) |
(/.f64 (*.f64 z (+.f64 x z)) y) |
(/ (* z (+ x z)) y) |
(/.f64 (*.f64 z (+.f64 x z)) y) |
(/ (* z (+ x z)) y) |
(/.f64 (*.f64 z (+.f64 x z)) y) |
(/ (* z (+ x z)) y) |
(/.f64 (*.f64 z (+.f64 x z)) y) |
(/ (* z (+ x z)) y) |
(/.f64 (*.f64 z (+.f64 x z)) y) |
(/ (* z (+ x z)) y) |
(/.f64 (*.f64 z (+.f64 x z)) y) |
(/ (* z (+ x z)) y) |
(/.f64 (*.f64 z (+.f64 x z)) y) |
(/ (* z (+ x z)) y) |
(/.f64 (*.f64 z (+.f64 x z)) y) |
(/ (* z (+ x z)) y) |
(/.f64 (*.f64 z (+.f64 x z)) y) |
y |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) (neg.f64 x) x) |
x |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
(+ x y) |
(+.f64 x y) |
y |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 y (/.f64 x y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 y (/.f64 x y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 y (/.f64 x y) y) |
(* x z) |
(*.f64 x z) |
(* z (+ x z)) |
(*.f64 z (+.f64 x z)) |
(* z (+ x z)) |
(*.f64 z (+.f64 x z)) |
(* z (+ x z)) |
(*.f64 z (+.f64 x z)) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (/ x z))) |
(*.f64 z (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))) |
(* (pow z 2) (+ 1 (/ x z))) |
(*.f64 z (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))) |
(* (pow z 2) (+ 1 (/ x z))) |
(*.f64 z (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (/ x z))) |
(*.f64 z (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))) |
(* (pow z 2) (+ 1 (/ x z))) |
(*.f64 z (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))) |
(* (pow z 2) (+ 1 (/ x z))) |
(*.f64 z (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 x z)))) |
(pow z 2) |
(*.f64 z z) |
(+ (* x z) (pow z 2)) |
(*.f64 z (+.f64 x z)) |
(+ (* x z) (pow z 2)) |
(*.f64 z (+.f64 x z)) |
(+ (* x z) (pow z 2)) |
(*.f64 z (+.f64 x z)) |
(* x z) |
(*.f64 x z) |
(* x (+ z (/ (pow z 2) x))) |
(*.f64 x (fma.f64 z (/.f64 z x) z)) |
(* x (+ z (/ (pow z 2) x))) |
(*.f64 x (fma.f64 z (/.f64 z x) z)) |
(* x (+ z (/ (pow z 2) x))) |
(*.f64 x (fma.f64 z (/.f64 z x) z)) |
(* x z) |
(*.f64 x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (pow z 2) x))))) |
(*.f64 x (fma.f64 z (/.f64 z x) z)) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (pow z 2) x))))) |
(*.f64 x (fma.f64 z (/.f64 z x) z)) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (pow z 2) x))))) |
(*.f64 x (fma.f64 z (/.f64 z x) z)) |
| 4 864× | lower-/.f32 |
| 4 854× | lower-/.f64 |
| 4 486× | lower-*.f32 |
| 4 480× | lower-*.f64 |
| 3 062× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 150 |
| 0 | 46 | 150 |
| 1 | 195 | 148 |
| 2 | 1581 | 148 |
| 0 | 8200 | 148 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) |
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) |
(+.f64 (/.f64 y z) #s(literal -1 binary64)) |
(/.f64 y z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
(neg.f64 z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
(neg.f64 (fma.f64 z (/.f64 x y) z)) |
(fma.f64 z (/.f64 x y) z) |
(/.f64 x y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
(*.f64 (/.f64 y (-.f64 z y)) z) |
(/.f64 y (-.f64 z y)) |
(-.f64 z y) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(+.f64 x y) |
(*.f64 z (+.f64 z x)) |
| Outputs |
|---|
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) y) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) x) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(fma.f64 y (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) y (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) x (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(fma.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(fma.f64 (*.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(fma.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(neg.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (+.f64 y x) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))))) |
(/.f64 (neg.f64 (+.f64 y x)) (+.f64 #s(literal -1 binary64) (/.f64 y z))) |
(/.f64 (neg.f64 (+.f64 y x)) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (-.f64 x y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (-.f64 x y))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal -1 binary64)) (*.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 y x))) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 x y)))) |
(/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))))) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (*.f64 (+.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (*.f64 (+.f64 y x) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 y x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) (-.f64 x y)) |
(/.f64 (fma.f64 y (-.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 (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (neg.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) x)) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) x)) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 y) (-.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 (fma.f64 (neg.f64 y) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (neg.f64 x))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(/.f64 (fma.f64 (neg.f64 y) (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 x #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(/.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (fma.f64 (neg.f64 y) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (fma.f64 (neg.f64 y) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 y #s(literal 1 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 (fma.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (neg.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(/.f64 (fma.f64 (*.f64 y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(/.f64 (fma.f64 (*.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (fma.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)))) |
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(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (neg.f64 (/.f64 y (*.f64 z (+.f64 z x))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (neg.f64 (/.f64 y (*.f64 z (+.f64 z x)))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (/.f64 y (*.f64 z (+.f64 z x)))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (/.f64 y (*.f64 z (+.f64 z x))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (/.f64 (/.f64 y (*.f64 z (+.f64 z x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (/.f64 (/.f64 y (*.f64 z (+.f64 z x))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) y) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 z (+.f64 z x)))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) y)) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (neg.f64 y)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (neg.f64 z) (+.f64 z x)))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) y) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (*.f64 z (+.f64 z x)) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) y)) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z z))) (neg.f64 (neg.f64 y))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (neg.f64 (*.f64 (neg.f64 z) (+.f64 z x))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (neg.f64 (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (neg.f64 (/.f64 y (*.f64 z (+.f64 z x))))) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (neg.f64 (/.f64 y (*.f64 z (+.f64 z x)))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 y (*.f64 z (+.f64 z x)))) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 y (*.f64 z (+.f64 z x))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (/.f64 y (*.f64 z (+.f64 z x))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 (/.f64 y (*.f64 z (+.f64 z x))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) y) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 z (+.f64 z x)))) (*.f64 (+.f64 #s(literal 0 binary64) z) y)) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (neg.f64 y)) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 z) (+.f64 z x)))) (*.f64 (+.f64 #s(literal 0 binary64) z) (neg.f64 y))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) y) (*.f64 (+.f64 #s(literal 0 binary64) z) (*.f64 (*.f64 z (+.f64 z x)) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 0 binary64) z) y)) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (neg.f64 (neg.f64 y))) (*.f64 (+.f64 #s(literal 0 binary64) z) (neg.f64 (*.f64 (neg.f64 z) (+.f64 z x))))) (*.f64 (+.f64 #s(literal 0 binary64) z) (neg.f64 (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 z z (*.f64 (/.f64 (*.f64 z (+.f64 z x)) y) (fma.f64 z (/.f64 (+.f64 z x) y) (neg.f64 z))))) (*.f64 (fma.f64 z z (*.f64 (/.f64 (*.f64 z (+.f64 z x)) y) (fma.f64 z (/.f64 (+.f64 z x) y) (neg.f64 z)))) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (*.f64 (*.f64 z (+.f64 z x)) (*.f64 z (+.f64 z x)))) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 z z (*.f64 (/.f64 (*.f64 z (+.f64 z x)) y) (fma.f64 z (/.f64 (+.f64 z x) y) (neg.f64 z)))) (fma.f64 z z (*.f64 (/.f64 (*.f64 z (+.f64 z x)) y) (fma.f64 z (/.f64 (+.f64 z x) y) (neg.f64 z)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (fma.f64 z (/.f64 (+.f64 z x) y) (neg.f64 z))) (*.f64 (fma.f64 z (/.f64 (+.f64 z x) y) (neg.f64 z)) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (*.f64 z (+.f64 z x))) (*.f64 y y)))) (*.f64 (fma.f64 z (/.f64 (+.f64 z x) y) (neg.f64 z)) (fma.f64 z (/.f64 (+.f64 z x) y) (neg.f64 z)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 z (*.f64 z z) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (*.f64 (*.f64 z (+.f64 z x)) (*.f64 z (+.f64 z x)))) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 z z (*.f64 (/.f64 (*.f64 z (+.f64 z x)) y) (fma.f64 z (/.f64 (+.f64 z x) y) (neg.f64 z))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 z z) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (*.f64 z (+.f64 z x))) (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 z (/.f64 (+.f64 z x) y) (neg.f64 z))))) |
(pow.f64 (/.f64 (fma.f64 z z (*.f64 (/.f64 (*.f64 z (+.f64 z x)) y) (fma.f64 z (/.f64 (+.f64 z x) y) (neg.f64 z)))) (fma.f64 z (*.f64 z z) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (*.f64 (*.f64 z (+.f64 z x)) (*.f64 z (+.f64 z x)))) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z (/.f64 (+.f64 z x) y) (neg.f64 z)) (-.f64 (*.f64 z z) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (*.f64 z (+.f64 z x))) (*.f64 y y)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 z (*.f64 z z) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (*.f64 (*.f64 z (+.f64 z x)) (*.f64 z (+.f64 z x)))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (/.f64 (*.f64 z (+.f64 z x)) y) (fma.f64 z (/.f64 (+.f64 z x) y) (neg.f64 z)))))) |
(*.f64 (-.f64 (*.f64 z z) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (*.f64 z (+.f64 z x))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 z (/.f64 (+.f64 z x) y) (neg.f64 z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 z (+.f64 z x)))) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (/.f64 (*.f64 z (+.f64 z x)) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 z (+.f64 z x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (*.f64 z (+.f64 z x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z (+.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 z (+.f64 z x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 z (+.f64 z x)))))) |
(/.f64 (*.f64 z (+.f64 z x)) y) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 z x)) (neg.f64 y)) |
(/.f64 (*.f64 (*.f64 z (+.f64 z x)) #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (+.f64 z x))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 z (+.f64 z x)) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) (+.f64 z x)))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(pow.f64 (/.f64 y (*.f64 z (+.f64 z x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y (*.f64 z (+.f64 z x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 z (/.f64 (+.f64 z x) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 z x)) y)) |
(*.f64 (+.f64 z x) (/.f64 z y)) |
(*.f64 (*.f64 z (+.f64 z x)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (neg.f64 z) (+.f64 z x)) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 z (+.f64 z x))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 z x) y) z) |
(+.f64 y x) |
(+.f64 x y) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y)))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 x x)) (-.f64 y x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (*.f64 x x))) (neg.f64 (-.f64 y x))) |
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y))) |
(+.f64 (*.f64 z z) (*.f64 z x)) |
(+.f64 (*.f64 z x) (*.f64 z z)) |
(fma.f64 #s(literal -1 binary64) (*.f64 z (neg.f64 z)) (*.f64 z x)) |
(fma.f64 z z (*.f64 z x)) |
(fma.f64 z x (*.f64 z z)) |
(fma.f64 x z (*.f64 z z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 z z) (*.f64 z x)) |
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 z x)) |
(fma.f64 (*.f64 z z) #s(literal 1 binary64) (*.f64 z x)) |
(fma.f64 (*.f64 (neg.f64 z) #s(literal -1 binary64)) z (*.f64 z x)) |
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 z z) (*.f64 z z) (-.f64 (*.f64 (*.f64 z z) (*.f64 x x)) (*.f64 (*.f64 z z) (*.f64 z x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 x x))) (-.f64 (*.f64 z z) (*.f64 z x))) |
(/.f64 (*.f64 z (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x)))) (fma.f64 z z (*.f64 x (-.f64 x z)))) |
(/.f64 (*.f64 z (*.f64 (+.f64 z x) (-.f64 z x))) (-.f64 z x)) |
(/.f64 (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) z) (fma.f64 z z (*.f64 x (-.f64 x z)))) |
(/.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) z) (-.f64 z x)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (*.f64 z z) (*.f64 z z) (-.f64 (*.f64 (*.f64 z z) (*.f64 x x)) (*.f64 (*.f64 z z) (*.f64 z x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 x x)))) (neg.f64 (-.f64 (*.f64 z z) (*.f64 z x)))) |
(/.f64 (neg.f64 (*.f64 z (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 z z (*.f64 x (-.f64 x z))))) |
(/.f64 (neg.f64 (*.f64 z (*.f64 (+.f64 z x) (-.f64 z x)))) (neg.f64 (-.f64 z x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z (*.f64 z z) (*.f64 x (*.f64 x x))) z)) (neg.f64 (fma.f64 z z (*.f64 x (-.f64 x z))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) z)) (neg.f64 (-.f64 z x))) |
(*.f64 z (+.f64 z x)) |
(*.f64 (+.f64 z x) z) |
Compiled 23 181 to 2 107 computations (90.9% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 190 | 8 | 1 198 |
| Fresh | 3 | 4 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 196 | 15 | 1 211 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.8% | (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) |
| ▶ | 54.4% | (*.f64 #s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y)) |
| 21.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 y (*.f64 z x))) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 y (*.f64 z x))))) | |
| 56.3% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) | |
| 54.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x))) | |
| ▶ | 55.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
| ✓ | 42.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
| 49.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) | |
| 42.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) z)) | |
| 17.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) | |
| ✓ | 41.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
| ▶ | 43.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)))) |
| 20.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 x z) y)))) | |
| ✓ | 27.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| ▶ | 17.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
Compiled 342 to 188 computations (45% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 y z)) | |
| cost-diff | 0 | #s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y)) | |
| cost-diff | 0 | (fma.f64 x (/.f64 z y) z) | |
| cost-diff | 0 | #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)) | |
| cost-diff | 0 | (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z))) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)))) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (fma.f64 y (/.f64 y z) y) | |
| cost-diff | 0 | #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) |
| 1 324× | lower-fma.f32 |
| 1 318× | lower-fma.f64 |
| 892× | lower-*.f32 |
| 890× | lower-*.f64 |
| 626× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 205 |
| 0 | 51 | 206 |
| 1 | 88 | 200 |
| 2 | 109 | 200 |
| 3 | 129 | 200 |
| 4 | 161 | 200 |
| 5 | 238 | 200 |
| 6 | 442 | 200 |
| 7 | 919 | 200 |
| 8 | 1579 | 200 |
| 9 | 2083 | 200 |
| 10 | 2478 | 200 |
| 11 | 2652 | 200 |
| 12 | 2720 | 200 |
| 13 | 2747 | 200 |
| 14 | 2766 | 200 |
| 15 | 2767 | 200 |
| 16 | 2767 | 200 |
| 0 | 2767 | 200 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) |
(+.f64 x y) |
x |
y |
(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
#s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y)) |
(fma.f64 y (/.f64 y z) y) |
y |
(/.f64 y z) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)))) |
(neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z))) |
#s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)) |
(fma.f64 x (/.f64 z y) z) |
x |
(/.f64 z y) |
z |
y |
(*.f64 #s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y)) |
#s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+.f64 #s(literal 1 binary64) (/.f64 y z)) |
#s(literal 1 binary64) |
(/.f64 y z) |
y |
z |
(+.f64 x y) |
x |
| Outputs |
|---|
(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+.f64 x y) |
x |
y |
(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
#s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y)) |
(fma.f64 y (/.f64 y z) y) |
y |
(/.f64 y z) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)))) |
(neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z))) |
#s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)) |
(fma.f64 x (/.f64 z y) z) |
x |
(/.f64 z y) |
z |
y |
(*.f64 #s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y)) |
(*.f64 (+.f64 x y) #s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
#s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+.f64 #s(literal 1 binary64) (/.f64 y z)) |
#s(literal 1 binary64) |
(/.f64 y z) |
y |
z |
(+.f64 x y) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) (/.f64 y z)) | |
| accuracy | 6.947244450973427 | (*.f64 #s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y)) | |
| accuracy | 29.020271246376275 | #s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) | |
| accuracy | 0 | (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z))) | |
| accuracy | 0 | #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)) | |
| accuracy | 4.388017487131744 | (fma.f64 x (/.f64 z y) z) | |
| accuracy | 34.285284123196966 | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)))) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0.0859375 | (fma.f64 y (/.f64 y z) y) | |
| accuracy | 29.032418418629664 | #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y)) | |
| accuracy | 36.38061449793555 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 28.73485036689239 | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.09375 | (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) | |
| accuracy | 7.12093328978089 | (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) |
| 74.0ms | 256× | 0 | valid |
Compiled 143 to 32 computations (77.6% saved)
ival-mult: 29.0ms (52.8% of total)ival-div: 13.0ms (23.7% of total)ival-add: 9.0ms (16.4% of total)ival-sub: 2.0ms (3.6% of total)ival-neg: 1.0ms (1.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y)) (patch #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (/.f64 y z) y) (patch (fma.f64 y (/.f64 y z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z))) (patch (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)) (patch #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (/.f64 z y) z) (patch (fma.f64 x (/.f64 z y) z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y)) (patch (*.f64 #s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (patch #s(approx (/ -1 (+ (/ y z) -1)) (+.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>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ y z)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor inf z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor inf z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor inf z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor -inf z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor -inf z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor -inf z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (/ 1 z))) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (/ 1 z))) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (/ 1 z))) (taylor inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 z) (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 z) (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 z) (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ y (+ 1 (* -1 (/ y z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (+ 1 (* -1 (/ y z)))) (/ y (+ 1 (* -1 (/ y z))))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (+ 1 (* -1 (/ y z)))) (/ y (+ 1 (* -1 (/ y z))))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (+ 1 (* -1 (/ y z)))) (/ y (+ 1 (* -1 (/ y z))))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 (* -1 (/ y z)))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (+ 1 (* -1 (/ y z)))) (/ y (* x (+ 1 (* -1 (/ y z))))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (+ 1 (* -1 (/ y z)))) (/ y (* x (+ 1 (* -1 (/ y z))))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (+ 1 (* -1 (/ y z)))) (/ y (* x (+ 1 (* -1 (/ y z))))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 (* -1 (/ y z)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 1 (* -1 (/ y z))))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 1 (* -1 (/ y z))))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 1 (* -1 (/ y z))))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 (* -1 (/ x z))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<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) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/ (+ x y) (+ (* (/ -1 z) y) 1)) |
| 0.0ms | x | @ | -inf | (/ (+ x y) (+ (* (/ -1 z) y) 1)) |
| 0.0ms | x | @ | inf | (/ (+ x y) (+ (* (/ -1 z) y) 1)) |
| 0.0ms | z | @ | 0 | (+ (* y (/ y z)) y) |
| 0.0ms | z | @ | 0 | (/ -1 z) |
| 1× | egg-herbie |
| 11 566× | lower-fma.f64 |
| 11 566× | lower-fma.f32 |
| 4 364× | lower-*.f64 |
| 4 364× | lower-*.f32 |
| 3 182× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 451 | 5466 |
| 1 | 1458 | 5223 |
| 2 | 4255 | 4796 |
| 0 | 8203 | 4537 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y z)) |
(/ (+ z (* -1 y)) z) |
(/ (+ z (* -1 y)) z) |
(/ (+ z (* -1 y)) z) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(* -1 (/ y z)) |
(* y (- (/ 1 y) (/ 1 z))) |
(* y (- (/ 1 y) (/ 1 z))) |
(* y (- (/ 1 y) (/ 1 z))) |
(* -1 (/ y z)) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(/ y (+ 1 (* -1 (/ y z)))) |
(+ (/ x (+ 1 (* -1 (/ y z)))) (/ y (+ 1 (* -1 (/ y z))))) |
(+ (/ x (+ 1 (* -1 (/ y z)))) (/ y (+ 1 (* -1 (/ y z))))) |
(+ (/ x (+ 1 (* -1 (/ y z)))) (/ y (+ 1 (* -1 (/ y z))))) |
(/ x (+ 1 (* -1 (/ y z)))) |
(* x (+ (/ 1 (+ 1 (* -1 (/ y z)))) (/ y (* x (+ 1 (* -1 (/ y z))))))) |
(* x (+ (/ 1 (+ 1 (* -1 (/ y z)))) (/ y (* x (+ 1 (* -1 (/ y z))))))) |
(* x (+ (/ 1 (+ 1 (* -1 (/ y z)))) (/ y (* x (+ 1 (* -1 (/ y z))))))) |
(/ x (+ 1 (* -1 (/ y z)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 1 (* -1 (/ y z))))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 1 (* -1 (/ y z))))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 1 (* -1 (/ y z))))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
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(* -1 (/ x (- (/ y z) 1))) |
(* -1 (* x (+ (/ 1 (- (/ y z) 1)) (/ y (* x (- (/ y z) 1)))))) |
(* -1 (* x (+ (/ 1 (- (/ y z) 1)) (/ y (* x (- (/ y z) 1)))))) |
(* -1 (* x (+ (/ 1 (- (/ y z) 1)) (/ y (* x (- (/ y z) 1)))))) |
1 |
(+ 1 (/ y z)) |
(+ 1 (* y (+ (/ 1 z) (/ y (pow z 2))))) |
(+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z)))) |
(* -1 (/ z y)) |
(/ (+ (* -1 z) (* -1 (/ (pow z 2) y))) y) |
(/ (- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y)) y) |
(/ (- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2)))) y) |
(* -1 (/ z y)) |
(* -1 (/ (+ z (/ (pow z 2) y)) y)) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y))) y)) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (* -1 (pow z 3))) y)) (pow z 2)) y))) y)) |
(* -1 (/ z y)) |
(* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) |
(* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
1 |
(+ 1 (/ y z)) |
(- (+ 1 (/ (pow y 2) (pow z 2))) (* -1 (/ y z))) |
(- (+ 1 (/ (pow y 3) (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (pow z 2))))) |
1 |
(+ 1 (/ y z)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) y) z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (* -1 (pow y 2))) z)) y) z))) |
1 |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
(/ y z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(* y (+ (/ 1 y) (/ 1 z))) |
(* y (+ (/ 1 y) (/ 1 z))) |
(/ y z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(* y (+ (/ 1 y) (/ 1 z))) |
(* y (+ (/ 1 y) (/ 1 z))) |
(/ y z) |
(/ (+ y z) z) |
(/ (+ y z) z) |
(/ (+ y z) z) |
1 |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
1 |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
(+ 1 (/ y z)) |
| Outputs |
|---|
(* -1 (/ y z)) |
(/.f64 y (neg.f64 z)) |
(/ (+ z (* -1 y)) z) |
(/.f64 (-.f64 z y) z) |
(/ (+ z (* -1 y)) z) |
(/.f64 (-.f64 z y) z) |
(/ (+ z (* -1 y)) z) |
(/.f64 (-.f64 z 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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+ 1 (* -1 (/ y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* -1 (/ y z)) |
(/.f64 y (neg.f64 z)) |
(* y (- (/ 1 y) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* y (- (/ 1 y) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* y (- (/ 1 y) (/ 1 z))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* -1 (/ y z)) |
(/.f64 y (neg.f64 z)) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/ y (+ 1 (* -1 (/ y z)))) |
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+ (/ x (+ 1 (* -1 (/ y z)))) (/ y (+ 1 (* -1 (/ y z))))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(+ (/ x (+ 1 (* -1 (/ y z)))) (/ y (+ 1 (* -1 (/ y z))))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(+ (/ x (+ 1 (* -1 (/ y z)))) (/ y (+ 1 (* -1 (/ y z))))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/ x (+ 1 (* -1 (/ y z)))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* x (+ (/ 1 (+ 1 (* -1 (/ y z)))) (/ y (* x (+ 1 (* -1 (/ y z))))))) |
(fma.f64 x (/.f64 y (-.f64 x (*.f64 (/.f64 y z) x))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* x (+ (/ 1 (+ 1 (* -1 (/ y z)))) (/ y (* x (+ 1 (* -1 (/ y z))))))) |
(fma.f64 x (/.f64 y (-.f64 x (*.f64 (/.f64 y z) x))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* x (+ (/ 1 (+ 1 (* -1 (/ y z)))) (/ y (* x (+ 1 (* -1 (/ y z))))))) |
(fma.f64 x (/.f64 y (-.f64 x (*.f64 (/.f64 y z) x))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/ x (+ 1 (* -1 (/ y z)))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 1 (* -1 (/ y z))))))) |
(fma.f64 x (/.f64 y (-.f64 x (*.f64 (/.f64 y z) x))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 1 (* -1 (/ y z))))))) |
(fma.f64 x (/.f64 y (-.f64 x (*.f64 (/.f64 y z) x))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 1 (* -1 (/ y z))))))) |
(fma.f64 x (/.f64 y (-.f64 x (*.f64 (/.f64 y z) x))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+.f64 y (fma.f64 y (/.f64 x z) x)) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(fma.f64 y (+.f64 (/.f64 x z) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y z) #s(literal 1 binary64))) x) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(+.f64 y (fma.f64 y (fma.f64 y (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) z) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 x z)) x)) |
(* -1 z) |
(neg.f64 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(-.f64 (neg.f64 (fma.f64 (*.f64 z (+.f64 z x)) (/.f64 z (*.f64 y y)) z)) (/.f64 (*.f64 z (+.f64 z x)) 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))) |
(neg.f64 (fma.f64 (/.f64 (*.f64 z (+.f64 z x)) (*.f64 y y)) (fma.f64 z (/.f64 z y) z) (+.f64 z (/.f64 (*.f64 z (+.f64 z x)) y)))) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y)) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z (+.f64 x (/.f64 (*.f64 z (+.f64 z x)) y)))) y)) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(-.f64 (neg.f64 z) (/.f64 (fma.f64 z (+.f64 z x) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (fma.f64 z (/.f64 z y) z)) y)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(/.f64 (*.f64 z (-.f64 (neg.f64 y) x)) y) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 z (-.f64 (neg.f64 (fma.f64 z (/.f64 x (*.f64 y y)) (/.f64 z y))) (/.f64 (+.f64 y x) y))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 z (-.f64 (*.f64 z (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y))) (fma.f64 z (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 z (*.f64 y y))))) (/.f64 (+.f64 y x) y))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 z (-.f64 (*.f64 z (fma.f64 z (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y (*.f64 y y)))) (fma.f64 z (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 z (*.f64 y (*.f64 y y))))) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y))))) (/.f64 (+.f64 y x) y))) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 y (fma.f64 y (/.f64 (+.f64 y x) z) x)) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(+.f64 y (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) x)) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+.f64 x (fma.f64 y (/.f64 (+.f64 y x) z) (fma.f64 (+.f64 y x) (*.f64 (/.f64 y (*.f64 z z)) (fma.f64 y (/.f64 y z) y)) y))) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 y (fma.f64 y (/.f64 (+.f64 y x) z) x)) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+.f64 y (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) x)) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(+.f64 (+.f64 y x) (/.f64 (fma.f64 y (+.f64 y x) (/.f64 (*.f64 y (*.f64 (+.f64 y x) (fma.f64 y (/.f64 y z) y))) z)) z)) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
(* x (+ 1 (/ y x))) |
(fma.f64 x (/.f64 y x) x) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) (neg.f64 x) x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
y |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
(* y (+ 1 (/ x y))) |
(fma.f64 y (/.f64 x y) y) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 y (/.f64 x y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 y (/.f64 x y) y) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(fma.f64 y (/.f64 x y) y) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ y (- 1 (/ y z))) |
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (-.f64 x (*.f64 (/.f64 y z) x))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (-.f64 x (*.f64 (/.f64 y z) x))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (-.f64 x (*.f64 (/.f64 y z) x))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (-.f64 x (*.f64 (/.f64 y z) x))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (-.f64 x (*.f64 (/.f64 y z) x))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (-.f64 x (*.f64 (/.f64 y z) x))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+.f64 y (fma.f64 y (/.f64 x z) x)) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(fma.f64 y (+.f64 (/.f64 x z) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y z) #s(literal 1 binary64))) x) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(+.f64 y (fma.f64 y (fma.f64 y (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) z) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 x z)) x)) |
(* -1 z) |
(neg.f64 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(-.f64 (neg.f64 (fma.f64 (*.f64 z (+.f64 z x)) (/.f64 z (*.f64 y y)) z)) (/.f64 (*.f64 z (+.f64 z x)) 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))) |
(neg.f64 (fma.f64 (/.f64 (*.f64 z (+.f64 z x)) (*.f64 y y)) (fma.f64 z (/.f64 z y) z) (+.f64 z (/.f64 (*.f64 z (+.f64 z x)) y)))) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y)) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z (+.f64 x (/.f64 (*.f64 z (+.f64 z x)) y)))) y)) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(-.f64 (neg.f64 z) (/.f64 (fma.f64 z (+.f64 z x) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (fma.f64 z (/.f64 z y) z)) y)) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(/.f64 (*.f64 z (-.f64 (neg.f64 y) x)) y) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 z (-.f64 (neg.f64 (fma.f64 z (/.f64 x (*.f64 y y)) (/.f64 z y))) (/.f64 (+.f64 y x) y))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 z (-.f64 (*.f64 z (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y))) (fma.f64 z (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 z (*.f64 y y))))) (/.f64 (+.f64 y x) y))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 z (-.f64 (*.f64 z (fma.f64 z (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y (*.f64 y y)))) (fma.f64 z (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 z (*.f64 y (*.f64 y y))))) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y))))) (/.f64 (+.f64 y x) y))) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 y (fma.f64 y (/.f64 (+.f64 y x) z) x)) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(+.f64 y (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) x)) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+.f64 x (fma.f64 y (/.f64 (+.f64 y x) z) (fma.f64 (+.f64 y x) (*.f64 (/.f64 y (*.f64 z z)) (fma.f64 y (/.f64 y z) y)) y))) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 y (fma.f64 y (/.f64 (+.f64 y x) z) x)) |
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(/.f64 (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 z y))) y) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y))) y)) |
(/.f64 (-.f64 (neg.f64 z) (/.f64 (*.f64 z (fma.f64 z (/.f64 z y) z)) y)) y) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (* -1 (pow z 3))) y)) (pow z 2)) y))) y)) |
(/.f64 (+.f64 z (/.f64 (fma.f64 z z (/.f64 (fma.f64 z (*.f64 z z) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) y)) y)) y)) (neg.f64 y)) |
(* -1 (/ z y)) |
(/.f64 z (neg.f64 y)) |
(* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) |
(*.f64 z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z (*.f64 y y)))) |
(* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 z (fma.f64 z (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 z (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y))) |
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 z (fma.f64 z (fma.f64 z (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (/.f64 z (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y z)) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow y 2) (pow z 2))) (* -1 (/ y z))) |
(fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow y 3) (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (pow z 2))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (*.f64 z z)) (fma.f64 y (/.f64 y z) y) (/.f64 y z))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y z)) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) y) z))) |
(fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (* -1 (pow y 2))) z)) y) z))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y z) (fma.f64 y (/.f64 y z) y) y) z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y z)) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
(+ 1 (/ y z)) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
(+ 1 (/ y z)) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
(/ y z) |
(/.f64 y z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
(* y (+ (/ 1 y) (/ 1 z))) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
(* y (+ (/ 1 y) (/ 1 z))) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
(/ y z) |
(/.f64 y z) |
(* y (+ (/ 1 y) (/ 1 z))) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
(* y (+ (/ 1 y) (/ 1 z))) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
(* y (+ (/ 1 y) (/ 1 z))) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
(/ y z) |
(/.f64 y z) |
(/ (+ y z) z) |
(/.f64 (+.f64 y z) z) |
(/ (+ y z) z) |
(/.f64 (+.f64 y z) z) |
(/ (+ y z) z) |
(/.f64 (+.f64 y z) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y z)) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
(+ 1 (/ y z)) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
(+ 1 (/ y z)) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y z)) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
(+ 1 (/ y z)) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
(+ 1 (/ y z)) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
| 4 576× | lower-/.f32 |
| 4 568× | lower-/.f64 |
| 4 096× | lower-*.f32 |
| 4 094× | lower-*.f64 |
| 3 706× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 180 |
| 0 | 51 | 182 |
| 1 | 228 | 175 |
| 2 | 1819 | 175 |
| 0 | 8914 | 175 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) |
(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) |
(+.f64 x y) |
(/.f64 #s(literal -1 binary64) z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
(+.f64 y x) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
#s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y)) |
(fma.f64 y (/.f64 y z) y) |
(/.f64 y z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)))) |
(neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z))) |
#s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)) |
(fma.f64 x (/.f64 z y) z) |
(*.f64 #s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y)) |
#s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+.f64 #s(literal 1 binary64) (/.f64 y z)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y z))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y z)) #s(literal -1 binary64))) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
(+.f64 (neg.f64 (/.f64 y z)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y z))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) #s(literal 1 binary64))) |
(-.f64 (/.f64 y z) #s(literal -1 binary64)) |
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) |
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 y z))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y z)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 y z) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y z)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y z) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (/.f64 y z)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (+.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 y z))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) (+.f64 #s(literal -1 binary64) (/.f64 y z))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z)))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z)))) |
(/.f64 (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))))) (+.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (neg.f64 (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 z z)) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 y z))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) #s(literal -1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (/.f64 y z)) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (/.f64 y z)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 y z)) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 y z)) #s(literal -1 binary64)))))) |
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z)))))) |
Compiled 21 781 to 1 592 computations (92.7% saved)
17 alts after pruning (9 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 143 | 4 | 1 147 |
| Fresh | 2 | 5 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 145 | 17 | 1 162 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.8% | (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) |
| ✓ | 54.4% | (*.f64 #s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y)) |
| ▶ | 56.3% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
| 54.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x))) | |
| ✓ | 55.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
| ✓ | 42.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
| ▶ | 49.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
| ▶ | 42.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) z)) |
| 17.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) | |
| ✓ | 41.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
| ✓ | 43.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)))) |
| 23.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 y y)) (*.f64 z z)) (-.f64 (/.f64 (*.f64 z x) y) z))))) | |
| 20.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) | |
| ✓ | 27.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| ▶ | 45.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y))) |
| ✓ | 17.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
| ▶ | 2.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
Compiled 326 to 172 computations (47.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 z y)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) z) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) z)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) | |
| 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 x y) | |
| cost-diff | 0 | #s(approx (+ y x) (fma.f64 y (/.f64 x y) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y))) | |
| cost-diff | 896 | (fma.f64 y (/.f64 x y) y) | |
| cost-diff | 0 | (/.f64 (*.f64 y y) z) | |
| cost-diff | 0 | #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)) | |
| cost-diff | 0 | #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z))) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) | |
| cost-diff | 0 | (/.f64 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)))) |
| 4 430× | lower-fma.f32 |
| 4 428× | lower-fma.f64 |
| 4 288× | lower-*.f32 |
| 4 280× | lower-*.f64 |
| 2 186× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 233 |
| 0 | 50 | 228 |
| 1 | 75 | 224 |
| 2 | 111 | 224 |
| 3 | 211 | 218 |
| 4 | 287 | 218 |
| 5 | 502 | 218 |
| 6 | 1623 | 218 |
| 7 | 3961 | 218 |
| 8 | 6959 | 218 |
| 0 | 8054 | 215 |
| 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 (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
#s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z))) |
#s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y))) |
#s(approx (+ y x) (fma.f64 y (/.f64 x y) y)) |
(fma.f64 y (/.f64 x y) y) |
y |
(/.f64 x 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 |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) z)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) z) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) |
(/.f64 #s(literal 1 binary64) (-.f64 z y)) |
#s(literal 1 binary64) |
(-.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 (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
#s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z))) |
#s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(*.f64 y y) |
y |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (+.f64 x y))) |
#s(approx (+ y x) (fma.f64 y (/.f64 x y) y)) |
#s(approx (+ y x) (+.f64 x y)) |
(fma.f64 y (/.f64 x y) y) |
(+.f64 x y) |
y |
(/.f64 x y) |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(*.f64 x (/.f64 z (-.f64 z y))) |
(/.f64 x (-.f64 z y)) |
x |
(-.f64 z y) |
z |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 y (/.f64 z (-.f64 z y)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) z) |
(*.f64 y (/.f64 z (-.f64 z y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) |
(/.f64 y (-.f64 z y)) |
(/.f64 #s(literal 1 binary64) (-.f64 z y)) |
#s(literal 1 binary64) |
(-.f64 z y) |
z |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (/.f64 #s(literal 1 binary64) (-.f64 z y)) | |
| accuracy | 0.171875 | (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) | |
| accuracy | 8.702977884084376 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) z) | |
| accuracy | 36.38061449793555 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) z)) | |
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0.00390625 | (/.f64 x (-.f64 z y)) | |
| accuracy | 11.867212778664952 | (*.f64 (/.f64 x (-.f64 z y)) z) | |
| accuracy | 26.477368571761854 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | #s(approx (+ y x) (fma.f64 y (/.f64 x y) y)) | |
| accuracy | 9.637918364538129 | (fma.f64 y (/.f64 x y) y) | |
| accuracy | 28.73485036689239 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y))) | |
| accuracy | 7.930933209387285 | (/.f64 (*.f64 y y) z) | |
| accuracy | 29.032418418629664 | #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z))) | |
| accuracy | 33.5823798823119 | #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)) | |
| accuracy | 36.38061449793555 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (/.f64 y z)) | |
| accuracy | 3.3370474950239273 | (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) | |
| accuracy | 26.477368571761854 | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
| 64.0ms | 256× | 0 | valid |
Compiled 150 to 27 computations (82% saved)
ival-mult: 29.0ms (59.9% of total)ival-div: 12.0ms (24.8% of total)ival-add: 5.0ms (10.3% of total)ival-sub: 2.0ms (4.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (+ x 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 (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z))) (patch #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)) (patch #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y y) z) (patch (/.f64 (*.f64 y y) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (/.f64 x y) y) (patch (fma.f64 y (/.f64 x y) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ y x) (fma.f64 y (/.f64 x y) y)) (patch #s(approx (+ y x) (fma.f64 y (/.f64 x y) 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 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 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) z) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 z y)) #<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>) () ())) ()) |
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#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y))) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y))) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 z y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 z y)) #<representation binary64>) () ())) ()) |
144 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 46.0ms | x | @ | -inf | (/ x (- 1 (/ y z))) |
| 6.0ms | z | @ | -inf | (/ x (- z y)) |
| 1.0ms | x | @ | inf | (/ x (- 1 (/ y z))) |
| 1.0ms | y | @ | -inf | (/ x (- 1 (/ y z))) |
| 1.0ms | x | @ | inf | (* (/ x (- z y)) z) |
| 1× | egg-herbie |
| 8 108× | lower-fma.f64 |
| 8 108× | lower-fma.f32 |
| 4 942× | lower-*.f64 |
| 4 942× | lower-*.f32 |
| 2 252× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 554 | 6910 |
| 1 | 1772 | 6463 |
| 2 | 5042 | 6210 |
| 0 | 8292 | 5875 |
| 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 |
(* y (+ 1 (/ y z))) |
(* y (+ 1 (* y (+ (/ 1 z) (/ y (pow z 2)))))) |
(* y (+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z))))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (pow z 2) y))) |
(- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2)))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (pow z 2) y))) |
(+ (* -1 z) (* -1 (/ (+ (/ (pow z 3) y) (pow z 2)) y))) |
(+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (* -1 (pow z 3))) y)) (pow z 2)) y))) |
(* -1 z) |
(* z (- (* -1 (/ z y)) 1)) |
(* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1)) |
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)) |
y |
(+ y (/ (pow y 2) z)) |
(- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z))) |
(- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2))))) |
y |
(+ y (/ (pow y 2) z)) |
(+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) |
(+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) |
y |
(* y (+ 1 (/ y z))) |
(* y (+ 1 (/ y z))) |
(* y (+ 1 (/ y z))) |
(/ (pow y 2) z) |
(* (pow y 2) (+ (/ 1 y) (/ 1 z))) |
(* (pow y 2) (+ (/ 1 y) (/ 1 z))) |
(* (pow y 2) (+ (/ 1 y) (/ 1 z))) |
(/ (pow y 2) z) |
(* (pow y 2) (+ (/ 1 y) (/ 1 z))) |
(* (pow y 2) (+ (/ 1 y) (/ 1 z))) |
(* (pow y 2) (+ (/ 1 y) (/ 1 z))) |
(/ (pow y 2) z) |
(/ (+ (* y z) (pow y 2)) z) |
(/ (+ (* y z) (pow y 2)) z) |
(/ (+ (* y z) (pow y 2)) z) |
y |
(+ y (/ (pow y 2) z)) |
(+ y (/ (pow y 2) z)) |
(+ y (/ (pow y 2) z)) |
y |
(+ y (/ (pow y 2) z)) |
(+ y (/ (pow y 2) z)) |
(+ y (/ (pow y 2) z)) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
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)))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) |
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) |
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))) |
x |
(+ x (/ (* x y) z)) |
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) |
(- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2))))) |
x |
(+ x (/ (* x y) z)) |
(+ x (* -1 (/ (- (* -1 (/ (* x (pow y 2)) z)) (* x y)) z))) |
(+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) z) (* -1 (* x (pow y 2)))) z)) (* x y)) z))) |
x |
(+ x (/ (* x y) z)) |
(+ x (* y (- (/ (* x y) (pow z 2)) (* -1 (/ x z))))) |
(+ x (* y (- (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (* -1 (/ x z))))) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y) |
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 3)) (pow y 2)))) (/ (* x (pow z 2)) y)) y) |
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 4)) (pow y 3)))) (+ (/ (* x (pow z 2)) y) (/ (* x (pow z 3)) (pow y 2)))) y) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow z 3)) y)) (* x (pow z 2))) y)) (* x z)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 4)) y) (* -1 (* x (pow z 3)))) y)) (* x (pow z 2))) y)) (* x z)) y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(* -1 (/ x y)) |
(+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))) |
(+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))) |
(+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))) |
(/ x z) |
(/ (+ x (/ (* x y) z)) z) |
(/ (- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) z) |
(/ (- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2))))) z) |
(/ x z) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* x y) z))) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* x y) (/ (* x (pow y 2)) z)) z))) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z))) z)) |
(/ x z) |
(+ (/ x z) (/ (* x y) (pow z 2))) |
(+ (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (/ x z)) |
(+ (* y (- (* y (- (/ (* x y) (pow z 4)) (* -1 (/ x (pow z 3))))) (* -1 (/ x (pow z 2))))) (/ x z)) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ (* x z) y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow z 2)) (pow y 2)))) (/ (* x z) y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow z 3)) (pow y 3)))) (+ (/ (* x z) y) (/ (* x (pow z 2)) (pow y 2)))) y) |
(* -1 (/ x y)) |
(* -1 (/ (+ x (/ (* x z) y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow z 2)) y)) (* x z)) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 3)) y) (* -1 (* x (pow z 2)))) y)) (* x z)) y))) y)) |
(* -1 y) |
(- z y) |
(- z y) |
(- z y) |
z |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
z |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
z |
(+ z (* -1 y)) |
(+ z (* -1 y)) |
(+ z (* -1 y)) |
(* -1 y) |
(* y (- (/ z y) 1)) |
(* y (- (/ z y) 1)) |
(* y (- (/ z y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
-1 |
(- (* -1 (/ z y)) 1) |
(- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1) |
(- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
(/ y z) |
(/ (+ y (/ (pow y 2) z)) z) |
(/ (- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z))) z) |
(/ (- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2))))) z) |
(/ y z) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) z) (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) z)) (* -1 (pow y 3))) z)) (pow y 2)) z))) z)) |
(/ y z) |
(* y (+ (/ 1 z) (/ y (pow z 2)))) |
(* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z))) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow z 3)) (/ y (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z))) |
-1 |
(- (* -1 (/ z y)) 1) |
(- (* -1 (/ (pow z 2) (pow y 2))) (+ 1 (/ z y))) |
(- (* -1 (/ (pow z 3) (pow y 3))) (+ 1 (+ (/ z y) (/ (pow z 2) (pow y 2))))) |
-1 |
(- (* -1 (/ z y)) 1) |
(- (* -1 (/ (- (/ (pow z 2) y) (* -1 z)) y)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y)) (* -1 z)) y)) 1) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(* -1 z) |
(* z (- (* -1 (/ z y)) 1)) |
(* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1)) |
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)) |
y |
(+ y (/ (pow y 2) z)) |
(- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z))) |
(- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2))))) |
y |
(+ y (/ (pow y 2) z)) |
(+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) |
(+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) |
y |
(* y (+ 1 (/ y z))) |
(* y (+ 1 (* y (+ (/ 1 z) (/ y (pow z 2)))))) |
(* y (+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z))))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (pow z 2) y))) |
(- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2)))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (pow z 2) y))) |
(+ (* -1 z) (* -1 (/ (+ (/ (pow z 3) y) (pow z 2)) y))) |
(+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (* -1 (pow z 3))) y)) (pow z 2)) y))) |
(/ -1 y) |
(- (* -1 (/ z (pow y 2))) (/ 1 y)) |
(- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(/ 1 z) |
(/ (+ 1 (/ y z)) z) |
(/ (- (+ 1 (/ (pow y 2) (pow z 2))) (* -1 (/ y z))) z) |
(/ (- (+ 1 (/ (pow y 3) (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (pow z 2))))) z) |
(/ 1 z) |
(* -1 (/ (- (* -1 (/ y z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) z) (* -1 y)) z)) 1) z)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z)) (* -1 y)) z)) 1) z)) |
(/ 1 z) |
(+ (/ 1 z) (/ y (pow z 2))) |
(+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z)) |
(+ (* y (+ (* y (+ (/ 1 (pow z 3)) (/ y (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z)) |
(/ -1 y) |
(/ (- (* -1 (/ z y)) 1) y) |
(/ (- (* -1 (/ (pow z 2) (pow y 2))) (+ 1 (/ z y))) y) |
(/ (- (* -1 (/ (pow z 3) (pow y 3))) (+ 1 (+ (/ z y) (/ (pow z 2) (pow y 2))))) y) |
(/ -1 y) |
(* -1 (/ (+ 1 (/ z y)) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y))) y)) |
| Outputs |
|---|
(/ y (- 1 (/ y z))) |
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (-.f64 x (/.f64 (*.f64 y x) z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (-.f64 x (/.f64 (*.f64 y x) z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (-.f64 x (/.f64 (*.f64 y x) z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (-.f64 x (/.f64 (*.f64 y x) z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (-.f64 x (/.f64 (*.f64 y x) z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 x (/.f64 y (-.f64 x (/.f64 (*.f64 y x) z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(fma.f64 y (+.f64 (/.f64 x z) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (/.f64 y z) #s(literal 1 binary64))) x) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(fma.f64 y (fma.f64 y (fma.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (*.f64 z z)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) z)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) x) |
(* -1 z) |
(neg.f64 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(-.f64 (fma.f64 z (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (*.f64 y y)) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y)) z) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(-.f64 (fma.f64 z (*.f64 z (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (*.f64 y (*.f64 y y)))) (fma.f64 z (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) (*.f64 y y)) (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y))) z) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(-.f64 (/.f64 (*.f64 z (-.f64 (neg.f64 x) z)) y) z) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(-.f64 (neg.f64 z) (/.f64 (fma.f64 z (+.f64 x (/.f64 (fma.f64 z z (*.f64 z x)) y)) (*.f64 z z)) y)) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(-.f64 (neg.f64 z) (/.f64 (fma.f64 z z (fma.f64 z x (/.f64 (fma.f64 z (/.f64 (*.f64 z (fma.f64 z z (*.f64 z x))) y) (*.f64 z (fma.f64 z z (*.f64 z x)))) y))) y)) |
(* -1 (/ (* z (+ x y)) y)) |
(/.f64 (*.f64 z (-.f64 (neg.f64 x) y)) y) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 z (-.f64 (neg.f64 (fma.f64 z (/.f64 x (*.f64 y y)) (/.f64 z y))) (/.f64 (+.f64 y x) y))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 z (fma.f64 z (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y))) (fma.f64 x (/.f64 z (*.f64 y (*.f64 y y))) (/.f64 z (*.f64 y y)))) (/.f64 (-.f64 (neg.f64 x) y) y))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 z (-.f64 (*.f64 z (fma.f64 z (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y (*.f64 y y)))) (fma.f64 z (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 z (*.f64 y (*.f64 y y))))) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y))))) (/.f64 (+.f64 y x) y))) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 y (fma.f64 (+.f64 y x) (/.f64 y z) x)) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(+.f64 (+.f64 y x) (/.f64 (fma.f64 y (/.f64 (*.f64 y (+.f64 y x)) z) (*.f64 y (+.f64 y x))) z)) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+.f64 x (+.f64 (fma.f64 (+.f64 y x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) y) (/.f64 (fma.f64 y (/.f64 (*.f64 y (+.f64 y x)) z) (*.f64 y (+.f64 y x))) z))) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 y (fma.f64 (+.f64 y x) (/.f64 y z) x)) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+.f64 (+.f64 y x) (/.f64 (fma.f64 y (/.f64 (*.f64 y (+.f64 y x)) z) (*.f64 y (+.f64 y x))) z)) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(+.f64 (+.f64 y x) (/.f64 (+.f64 (/.f64 (fma.f64 y (*.f64 y (+.f64 y x)) (*.f64 (*.f64 y y) (/.f64 (*.f64 y (+.f64 y x)) z))) z) (*.f64 y (+.f64 y x))) z)) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 y (/.f64 x z) x) |
(+ x (* y (- (/ (* x y) (pow z 2)) (* -1 (/ x z))))) |
(fma.f64 y (fma.f64 y (/.f64 x (*.f64 z z)) (/.f64 x z)) x) |
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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))))))) |
(*.f64 z (-.f64 (*.f64 z (fma.f64 z (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y (*.f64 y y)))) (fma.f64 z (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 z (*.f64 y (*.f64 y y))))) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y))))) (/.f64 (+.f64 y x) y))) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 y (fma.f64 (+.f64 y x) (/.f64 y z) x)) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(+.f64 (+.f64 y x) (/.f64 (fma.f64 y (/.f64 (*.f64 y (+.f64 y x)) z) (*.f64 y (+.f64 y x))) z)) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+.f64 x (+.f64 (fma.f64 (+.f64 y x) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) y) (/.f64 (fma.f64 y (/.f64 (*.f64 y (+.f64 y x)) z) (*.f64 y (+.f64 y x))) z))) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 y (fma.f64 (+.f64 y x) (/.f64 y z) x)) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+.f64 (+.f64 y x) (/.f64 (fma.f64 y (/.f64 (*.f64 y (+.f64 y x)) z) (*.f64 y (+.f64 y x))) z)) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(+.f64 (+.f64 y x) (/.f64 (+.f64 (/.f64 (fma.f64 y (*.f64 y (+.f64 y x)) (*.f64 (*.f64 y y) (/.f64 (*.f64 y (+.f64 y x)) z))) z) (*.f64 y (+.f64 y x))) z)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* -1 (/ z y)) 1)) |
(neg.f64 (fma.f64 z (/.f64 z y) z)) |
(* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1)) |
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z y) z) y))) |
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)) |
(*.f64 z (fma.f64 z (fma.f64 z (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 z (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) |
y |
(+ y (/ (pow y 2) z)) |
(fma.f64 y (/.f64 y z) y) |
(- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z))) |
(fma.f64 y (/.f64 (fma.f64 y (/.f64 y z) y) z) y) |
(- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2))))) |
(+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 z (*.f64 z z))) (fma.f64 y (/.f64 (fma.f64 y (/.f64 y z) y) z) y)) |
y |
(+ y (/ (pow y 2) z)) |
(fma.f64 y (/.f64 y z) y) |
(+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) |
(fma.f64 y (/.f64 (fma.f64 y (/.f64 y z) y) z) y) |
(+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) |
(+.f64 y (/.f64 (fma.f64 y y (/.f64 (fma.f64 y (*.f64 y y) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) z)) z)) z)) |
y |
(* y (+ 1 (/ y z))) |
(fma.f64 y (/.f64 y z) y) |
(* y (+ 1 (* y (+ (/ 1 z) (/ y (pow z 2)))))) |
(fma.f64 y (/.f64 (fma.f64 y (/.f64 y z) y) z) y) |
(* y (+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z))))) |
(fma.f64 y (fma.f64 y (fma.f64 y (/.f64 y (*.f64 z (*.f64 z z))) (/.f64 y (*.f64 z z))) (/.f64 y z)) y) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* -1 (/ (pow z 2) y))) |
(neg.f64 (fma.f64 z (/.f64 z y) z)) |
(- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y)) |
(-.f64 (neg.f64 z) (/.f64 (fma.f64 z z (/.f64 (*.f64 z (*.f64 z z)) y)) y)) |
(- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2)))) |
(-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) (*.f64 y (*.f64 y y)))) (+.f64 z (/.f64 (fma.f64 z z (/.f64 (*.f64 z (*.f64 z z)) y)) y))) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* -1 (/ (pow z 2) y))) |
(neg.f64 (fma.f64 z (/.f64 z y) z)) |
(+ (* -1 z) (* -1 (/ (+ (/ (pow z 3) y) (pow z 2)) y))) |
(-.f64 (neg.f64 z) (/.f64 (fma.f64 z z (/.f64 (*.f64 z (*.f64 z z)) y)) y)) |
(+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (* -1 (pow z 3))) y)) (pow z 2)) y))) |
(-.f64 (neg.f64 z) (/.f64 (fma.f64 z z (/.f64 (fma.f64 z (*.f64 z z) (/.f64 (*.f64 (*.f64 z z) (*.f64 z z)) y)) y)) y)) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (* -1 (/ z (pow y 2))) (/ 1 y)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) y) |
(- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 z (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 z (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1 binary64) y)) |
(- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)) |
(fma.f64 z (fma.f64 z (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (/.f64 z (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ (+ 1 (/ y z)) z) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) z) |
(/ (- (+ 1 (/ (pow y 2) (pow z 2))) (* -1 (/ y z))) z) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y z) y) z)) z) |
(/ (- (+ 1 (/ (pow y 3) (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (pow z 2))))) z) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 (fma.f64 y (/.f64 y z) y) z) y) z)) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(* -1 (/ (- (* -1 (/ y z)) 1) z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) z) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) z) (* -1 y)) z)) 1) z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y z) y) z)) z) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z)) (* -1 y)) z)) 1) z)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 (fma.f64 y (/.f64 y z) y) z) y) z)) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (/ 1 z) (/ y (pow z 2))) |
(+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 z z))) |
(+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z)) |
(+.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 y (/.f64 y (*.f64 z (*.f64 z z))) (/.f64 y (*.f64 z z)))) |
(+ (* y (+ (* y (+ (/ 1 (pow z 3)) (/ y (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z)) |
(fma.f64 y (+.f64 (/.f64 y (*.f64 z (*.f64 z z))) (fma.f64 y (/.f64 y (*.f64 (*.f64 z z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ (- (* -1 (/ z y)) 1) y) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) y) |
(/ (- (* -1 (/ (pow z 2) (pow y 2))) (+ 1 (/ z y))) y) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z y) z) y)) y) |
(/ (- (* -1 (/ (pow z 3) (pow y 3))) (+ 1 (+ (/ z y) (/ (pow z 2) (pow y 2))))) y) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (/.f64 (fma.f64 z z (/.f64 (*.f64 z (*.f64 z z)) y)) y)) y)) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* -1 (/ (+ 1 (/ z y)) y)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) y) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y))) y)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z y) z) y)) y) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y))) y)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (/.f64 (fma.f64 z z (/.f64 (*.f64 z (*.f64 z z)) y)) y)) y)) y) |
| 4 522× | lower-/.f32 |
| 4 510× | lower-/.f64 |
| 3 682× | lower-fma.f32 |
| 3 680× | lower-fma.f64 |
| 3 606× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 213 |
| 0 | 50 | 207 |
| 1 | 181 | 207 |
| 2 | 1267 | 198 |
| 0 | 8920 | 195 |
| 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 (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
#s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z))) |
#s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)) |
(/.f64 (*.f64 y y) z) |
(fma.f64 y (/.f64 x y) y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y))) |
#s(approx (+ y x) (fma.f64 y (/.f64 x y) y)) |
(/.f64 x y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/.f64 x (-.f64 z y)) |
(-.f64 z y) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) z)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) z) |
(/.f64 #s(literal 1 binary64) (-.f64 z y)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ 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 #s(literal 0 binary64) (/.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)))) |
(neg.f64 (/.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 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x))) |
(/.f64 (neg.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 y z))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) #s(literal -1 binary64)) |
(*.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 #s(literal -1 binary64) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) (+.f64 #s(literal 1 binary64) (/.f64 y z))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(+.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z))) |
(+.f64 (/.f64 y (neg.f64 z)) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (neg.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))) |
(fma.f64 y (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) |
(fma.f64 y (neg.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 z)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (neg.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) |
(neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 y z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))) (+.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (neg.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (*.f64 (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (fma.f64 (/.f64 y z) (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (*.f64 y y) (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 z z))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))))) |
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(/.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 z y))) |
(/.f64 (+.f64 y z) (*.f64 (+.f64 y z) (-.f64 z y))) |
(/.f64 (neg.f64 (fma.f64 y (+.f64 y z) (*.f64 z z))) (neg.f64 (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 z y)))) |
(/.f64 (neg.f64 (+.f64 y z)) (neg.f64 (*.f64 (+.f64 y z) (-.f64 z y)))) |
(pow.f64 (-.f64 z y) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 z y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 z y) (-.f64 z y)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (-.f64 z y))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 z y))) |
(*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 z y)))) |
(*.f64 (+.f64 y z) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (-.f64 z y)))) |
(*.f64 (pow.f64 (-.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (-.f64 z y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 z y))) (fma.f64 y (+.f64 y z) (*.f64 z z))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 z y))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (*.f64 z z))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (-.f64 z y))) (+.f64 y z)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y z) (-.f64 z y))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) #s(literal -1 binary64))) |
Compiled 16 110 to 1 513 computations (90.6% saved)
16 alts after pruning (8 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 015 | 6 | 1 021 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 3 | 5 | 8 |
| Total | 1 022 | 16 | 1 038 |
| Status | Accuracy | Program |
|---|---|---|
| 44.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) | |
| 49.3% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 z (/.f64 (-.f64 z y) x))) | |
| ✓ | 55.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
| 56.3% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) | |
| ✓ | 42.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
| 16.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)) | |
| ✓ | 42.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) z)) |
| 17.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) | |
| ✓ | 41.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
| 20.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) | |
| ✓ | 27.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| 37.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (- 1 (/ y z))) (fma.f64 y (/.f64 x z) x))) | |
| ✓ | 45.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y))) |
| ✓ | 17.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
| ✓ | 2.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
| 2.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (*.f64 (/.f64 y z) y)))) |
Compiled 471 to 173 computations (63.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (*.f64 (/.f64 y z) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (- 1 (/ y z))) (fma.f64 y (/.f64 x z) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 x z) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) |
(*.f64 #s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))) |
#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 z (/.f64 (-.f64 z y) x))) |
(/.f64 (+.f64 x y) #s(approx (- 1 (/ y z)) (/.f64 y (neg.f64 z)))) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y))) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 z x) (*.f64 z x)) (*.f64 y y)) (*.f64 z z)) (-.f64 (/.f64 (*.f64 z x) y) z))))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 y (*.f64 z x))) (*.f64 (+.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) z) (/.f64 y (*.f64 z x))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
4 calls:
| 25.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 11.0ms | x |
| 9.0ms | z |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.9% | 1 | x |
| 95.9% | 3 | y |
| 94.6% | 3 | z |
| 99.9% | 3 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (*.f64 (/.f64 y z) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (- 1 (/ y z))) (fma.f64 y (/.f64 x z) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 x z) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) |
(*.f64 #s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))) |
#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 z (/.f64 (-.f64 z y) x))) |
(/.f64 (+.f64 x y) #s(approx (- 1 (/ y z)) (/.f64 y (neg.f64 z)))) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
1 calls:
| 8.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (*.f64 (/.f64 y z) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (- 1 (/ y z))) (fma.f64 y (/.f64 x z) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 x z) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) |
(*.f64 #s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) y) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))) |
#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 z (/.f64 (-.f64 z y) x))) |
(/.f64 (+.f64 x y) #s(approx (- 1 (/ y z)) (/.f64 y (neg.f64 z)))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))) |
(*.f64 #s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y)) |
4 calls:
| 47.0ms | x |
| 24.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 7.0ms | y |
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.8% | 3 | x |
| 81.2% | 3 | z |
| 79.9% | 3 | y |
| 72.1% | 5 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
Compiled 24 to 17 computations (29.2% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (*.f64 (/.f64 y z) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (- 1 (/ y z))) (fma.f64 y (/.f64 x z) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 x z) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) |
(*.f64 #s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 y z) (+.f64 y x) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) 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 (/.f64 z (-.f64 z y)) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
2 calls:
| 6.0ms | z |
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.9% | 3 | y |
| 78.7% | 3 | z |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (*.f64 (/.f64 y z) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (- 1 (/ y z))) (fma.f64 y (/.f64 x z) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 x z) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
2 calls:
| 11.0ms | z |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.6% | 3 | z |
| 75.3% | 3 | y |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (*.f64 (/.f64 y z) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) #s(approx (+ (* y (/ y z)) y) (/.f64 (*.f64 y y) z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (/ y (- z y)) (/.f64 y z)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (* (/ y (- z y)) z) (fma.f64 y (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 y (/.f64 x y) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (- 1 (/ y z))) (fma.f64 y (/.f64 x z) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 x z) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (/.f64 (*.f64 z x) y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
4 calls:
| 4.0ms | z |
| 4.0ms | y |
| 4.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.7% | 3 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 59.2% | 3 | x |
| 68.7% | 3 | y |
| 64.4% | 3 | z |
Compiled 24 to 17 computations (29.2% 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:
| 4.0ms | y |
| 1.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.9% | 1 | x |
| 27.9% | 1 | z |
| 27.9% | 1 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 27.9% | 1 | y |
Compiled 24 to 17 computations (29.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 4.746906767854968e-286 |
| 0.0ms | -6.875687009597472e-282 | -8.025469987610723e-307 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 4.746906767854968e-286 |
| 0.0ms | -6.875687009597472e-282 | -8.025469987610723e-307 |
Compiled 15 to 14 computations (6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 2.291411596030422e+32 | 9.174872920273492e+35 |
| 10.0ms | -4.777002380335712e+24 | -8.335801820547104e+22 |
| 11.0ms | 240× | 0 | valid |
Compiled 408 to 256 computations (37.3% saved)
ival-div: 3.0ms (50.4% of total)ival-sub: 1.0ms (16.8% of total)ival-add: 1.0ms (16.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 8.721940283337578e-14 | 6.86730841240243e-13 |
| 16.0ms | -2.539911085197148e+74 | -1.2935974276945818e+68 |
| 15.0ms | 240× | 0 | valid |
Compiled 375 to 224 computations (40.3% saved)
ival-div: 3.0ms (52.5% of total)ival-sub: 1.0ms (17.5% of total)ival-add: 1.0ms (17.5% 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 |
|---|---|---|
| 0.0ms | 2.291411596030422e+32 | 9.174872920273492e+35 |
| 3.0ms | -4.777002380335712e+24 | -8.335801820547104e+22 |
| 1.0ms | 32× | 0 | valid |
Compiled 330 to 194 computations (41.2% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)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 |
|---|---|---|
| 6.0ms | 1.1637662304174623e+179 | 2.5158723576167883e+179 |
| 13.0ms | -9.355908342924344e+83 | -7.041727704341962e+79 |
| 12.0ms | 208× | 0 | valid |
Compiled 210 to 144 computations (31.4% saved)
ival-sub: 3.0ms (42% of total)ival-div: 3.0ms (42% of total)ival-add: 1.0ms (14% 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 |
| 36× | +-commutative_binary64 |
| 30× | *-commutative_binary64 |
| 26× | sub-neg_binary64 |
| 20× | neg-sub0_binary64 |
| 20× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 353 |
| 1 | 101 | 353 |
| 2 | 123 | 353 |
| 3 | 144 | 353 |
| 4 | 156 | 353 |
| 5 | 164 | 353 |
| 6 | 167 | 353 |
| 7 | 168 | 353 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -3269984763141685/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) (/.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 -3269984763141685/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(if (<=.f64 z #s(literal -84999999999999997902848 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 450000000000000033154929174511616 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))) (*.f64 #s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y)))) |
(if (<=.f64 y #s(literal -6799999999999999696316086144136592511536491867435573815779485521784340480 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) (if (<=.f64 y #s(literal 3961408125713217/9903520314283042199192993792 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)))) |
(if (<=.f64 z #s(literal -99999999999999991611392 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 450000000000000033154929174511616 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)))) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)))) |
(if (<=.f64 y #s(literal -4999999999999999817033982815443287105513571612636783896840181921713543250771443712 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 117999999999999996829957284155893002660670745835428483955710413403166532800522291560465122807781949605062323613626816826550781622102747624717247720506846462669727927109884357640192 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -3269984763141685/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64))) (+.f64 x y)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) (/.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 -3269984763141685/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) (*.f64 (+.f64 x y) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) (/.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 -3269984763141685/653996952628336987883560210607911261328982429019490727199554680401825592727622145076415026132626866532955732981904996841544888480036812770751011814861973559810459458912611754481266760562888863640011851938052153014134639969934006809031100094365055109531933378765047739725368031717079125173169291264 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (fma.f64 z (/.f64 x y) z))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(if (<=.f64 z #s(literal -84999999999999997902848 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 450000000000000033154929174511616 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 z x)) y))) (*.f64 #s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y)))) |
(if (<=.f64 z #s(literal -84999999999999997902848 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) (if (<=.f64 z #s(literal 450000000000000033154929174511616 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (neg.f64 z) (/.f64 (*.f64 z (+.f64 x z)) y))) (*.f64 (+.f64 x y) #s(approx (/ -1 (+ (/ y z) -1)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))) |
(if (<=.f64 y #s(literal -6799999999999999696316086144136592511536491867435573815779485521784340480 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) (if (<=.f64 y #s(literal 3961408125713217/9903520314283042199192993792 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)))) |
(if (<=.f64 y #s(literal -6799999999999999696316086144136592511536491867435573815779485521784340480 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 z (/.f64 y (-.f64 z y)))) (if (<=.f64 y #s(literal 3961408125713217/9903520314283042199192993792 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 z (/.f64 y (-.f64 z y)))))) |
(if (<=.f64 z #s(literal -99999999999999991611392 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 450000000000000033154929174511616 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)))) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)))) |
(if (<=.f64 z #s(literal -99999999999999991611392 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) (if (<=.f64 z #s(literal 450000000000000033154929174511616 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 #s(approx (+ (* z (/ x y)) z) (fma.f64 x (/.f64 z y) z)))) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)))) |
(if (<=.f64 y #s(literal -4999999999999999817033982815443287105513571612636783896840181921713543250771443712 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 117999999999999996829957284155893002660670745835428483955710413403166532800522291560465122807781949605062323613626816826550781622102747624717247720506846462669727927109884357640192 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)))) |
(if (<=.f64 y #s(literal -4999999999999999817033982815443287105513571612636783896840181921713543250771443712 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 117999999999999996829957284155893002660670745835428483955710413403166532800522291560465122807781949605062323613626816826550781622102747624717247720506846462669727927109884357640192 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| 17 244× | lower-fma.f64 |
| 17 244× | lower-fma.f32 |
| 9 030× | lower-fma.f64 |
| 9 030× | lower-fma.f32 |
| 4 624× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 213 |
| 0 | 50 | 207 |
| 1 | 181 | 207 |
| 2 | 1267 | 198 |
| 0 | 8920 | 195 |
| 0 | 181 | 958 |
| 1 | 589 | 915 |
| 2 | 1842 | 852 |
| 3 | 7158 | 833 |
| 0 | 8263 | 790 |
| 0 | 538 | 6356 |
| 1 | 1746 | 5953 |
| 2 | 5201 | 5676 |
| 0 | 8153 | 5402 |
| 0 | 8 | 20 |
| 0 | 12 | 20 |
| 1 | 56 | 20 |
| 2 | 432 | 20 |
| 3 | 7705 | 20 |
| 0 | 8025 | 20 |
| 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× | node limit |
| 1× | iter limit |
Compiled 358 to 149 computations (58.4% saved)
Compiled 528 to 170 computations (67.8% saved)
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