
Time bar (total: 9.7s)
| 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 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 9 computations (18.2% saved)
| 505.0ms | 8 256× | 0 | valid |
ival-div: 78.0ms (34.4% of total)ival-mult: 54.0ms (23.8% of total)ival-sub: 47.0ms (20.7% of total)ival-add: 39.0ms (17.2% of total)ival-true: 5.0ms (2.2% of total)ival-assert: 4.0ms (1.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 33 | 0 | - | 0 | - | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 y (-.f64 z x))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y (-.f64 z x)) |
| 0 | 0 | - | 0 | - | (-.f64 z x) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) | o/n | 33 | 0 |
| ↳ | (+.f64 x (*.f64 y (-.f64 z x))) | overflow | 58 | |
| ↳ | (*.f64 y (-.f64 z x)) | overflow | 58 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 33 | 0 |
| - | 0 | 223 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 33 | 0 | 0 |
| - | 0 | 0 | 223 |
| number | freq |
|---|---|
| 0 | 223 |
| 1 | 33 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 30.0ms | 512× | 0 | valid |
Compiled 67 to 25 computations (62.7% saved)
ival-add: 5.0ms (33.1% of total)ival-sub: 3.0ms (19.8% of total)ival-div: 3.0ms (19.8% of total)ival-mult: 3.0ms (19.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 8 344× | lower-fma.f64 |
| 8 344× | lower-fma.f32 |
| 2 504× | lower-*.f32 |
| 2 502× | lower-*.f64 |
| 1 716× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 94 |
| 1 | 80 | 84 |
| 2 | 199 | 81 |
| 3 | 727 | 81 |
| 4 | 2078 | 81 |
| 5 | 4862 | 81 |
| 6 | 6285 | 81 |
| 7 | 6828 | 81 |
| 8 | 7073 | 81 |
| 9 | 7124 | 81 |
| 10 | 7128 | 81 |
| 11 | 7262 | 81 |
| 12 | 7598 | 81 |
| 13 | 7712 | 81 |
| 14 | 7758 | 81 |
| 15 | 7772 | 81 |
| 16 | 7784 | 81 |
| 17 | 7786 | 81 |
| 18 | 7786 | 81 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 15 | 9 |
| 2 | 26 | 9 |
| 3 | 50 | 9 |
| 4 | 86 | 9 |
| 5 | 135 | 9 |
| 6 | 239 | 9 |
| 7 | 484 | 9 |
| 8 | 1326 | 9 |
| 9 | 2849 | 9 |
| 10 | 3795 | 9 |
| 11 | 4257 | 9 |
| 12 | 4520 | 9 |
| 13 | 4651 | 9 |
| 14 | 4666 | 9 |
| 15 | 6168 | 9 |
| 16 | 6644 | 9 |
| 17 | 6908 | 9 |
| 18 | 7050 | 9 |
| 19 | 7172 | 9 |
| 20 | 7172 | 9 |
| 21 | 7449 | 9 |
| 22 | 7555 | 9 |
| 23 | 7555 | 9 |
| 24 | 7695 | 9 |
| 0 | 8143 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Outputs |
|---|
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.8% | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
Compiled 9 to 7 computations (22.2% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 z x) | |
| cost-diff | 0 | (*.f64 y (-.f64 z x)) | |
| cost-diff | 0 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) | |
| cost-diff | 128 | (+.f64 x (*.f64 y (-.f64 z x))) |
| 8 344× | lower-fma.f64 |
| 8 344× | lower-fma.f32 |
| 2 504× | lower-*.f32 |
| 2 502× | lower-*.f64 |
| 1 352× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 27 |
| 0 | 11 | 27 |
| 1 | 15 | 27 |
| 2 | 26 | 27 |
| 3 | 50 | 27 |
| 4 | 86 | 27 |
| 5 | 135 | 27 |
| 6 | 239 | 27 |
| 7 | 484 | 27 |
| 8 | 1326 | 27 |
| 9 | 2849 | 27 |
| 10 | 3795 | 27 |
| 11 | 4257 | 27 |
| 12 | 4520 | 27 |
| 13 | 4651 | 27 |
| 14 | 4666 | 27 |
| 15 | 6168 | 27 |
| 16 | 6644 | 27 |
| 17 | 6908 | 27 |
| 18 | 7050 | 27 |
| 19 | 7172 | 27 |
| 20 | 7172 | 27 |
| 21 | 7449 | 27 |
| 22 | 7555 | 27 |
| 23 | 7555 | 27 |
| 24 | 7695 | 27 |
| 0 | 8143 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
(+.f64 x (*.f64 y (-.f64 z x))) |
x |
(*.f64 y (-.f64 z x)) |
y |
(-.f64 z x) |
z |
| Outputs |
|---|
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+.f64 x (*.f64 y (-.f64 z x))) |
(fma.f64 (-.f64 z x) y x) |
x |
(*.f64 y (-.f64 z x)) |
(*.f64 (-.f64 z x) y) |
y |
(-.f64 z x) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 z x) | |
| accuracy | 0 | (*.f64 y (-.f64 z x)) | |
| accuracy | 0.01171875 | (+.f64 x (*.f64 y (-.f64 z x))) | |
| accuracy | 7.77087366599967 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 14.0ms | 256× | 0 | valid |
Compiled 29 to 9 computations (69% saved)
ival-div: 2.0ms (33.9% of total)ival-mult: 2.0ms (33.9% of total)ival-sub: 1.0ms (17% of total)ival-add: 1.0ms (17% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ()) |
#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ()) |
#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (* -1 (* x y))) (taylor 0 z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (- z x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (- z x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (- z x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) (taylor inf z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) (taylor inf z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) (taylor inf z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z))) (taylor inf z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z))) (taylor inf z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z))) (taylor inf z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (* -1 (/ (* x y) z)))) (taylor inf z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (* -1 (/ (* x y) z)))) (taylor inf z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ y (* -1 (/ (* x y) z)))) (taylor inf z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1 (/ x z)))) (taylor inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1 (/ x z)))) (taylor inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1 (/ x z)))) (taylor inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) (taylor -inf z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) (taylor -inf z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) (taylor -inf z) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z))) (taylor -inf z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z))) (taylor -inf z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z))) (taylor -inf z) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (/ (* x y) z)))) (taylor -inf z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (/ (* x y) z)))) (taylor -inf z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 y) (/ (* x y) z)))) (taylor -inf z) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (/ x z) 1))) (taylor -inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (/ x z) 1))) (taylor -inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (/ x z) 1))) (taylor -inf z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- z x))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- z x))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- z x))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- 1 (/ x z))) (/ x z)) (taylor 0 y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- 1 (/ x z))) (/ x z)) (taylor 0 y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- 1 (/ x z))) (/ x z)) (taylor 0 y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (- z x)) (taylor 0 y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- z x)) (taylor 0 y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- z x)) (taylor 0 y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- z x)) (taylor 0 y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- z x)) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ z (/ x y)) x)) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ z (/ x y)) x)) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ z (/ x y)) x)) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (- z x)) z) (taylor inf y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ x (* y z))) (/ x z))) (taylor inf y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ x (* y z))) (/ x z))) (taylor inf y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ x (* y z))) (/ x z))) (taylor inf y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (- z x)) (taylor inf y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- z x)) (taylor inf y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- z x)) (taylor inf y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- z x)) (taylor inf y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- z x)) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (- z x)) z) (taylor -inf y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (- z x)) (taylor -inf y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- z x)) (taylor -inf y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- z x)) (taylor -inf y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- z x)) (taylor -inf y) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ 1 (* -1 y))) (* y z)) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ 1 (* -1 y))) (* y z)) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ 1 (* -1 y))) (* y z)) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 x)) (taylor 0 x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 x)) (taylor 0 x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 x)) (taylor 0 x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 y))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ 1 (* -1 y))) z) (taylor inf x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) (taylor inf x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) (taylor inf x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) (taylor inf x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 y) (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ z x) 1)) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ z x) 1)) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ z x) 1)) (taylor inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (-.f64 z x))) (patch (+.f64 x (*.f64 y (-.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) (patch (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 y (-.f64 z x)) (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | -inf | ((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x)) |
| 1.0ms | y | @ | inf | ((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x)) |
| 1.0ms | z | @ | -inf | ((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x)) |
| 1.0ms | z | @ | inf | ((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x)) |
| 1.0ms | x | @ | -inf | ((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x)) |
| 1× | egg-herbie |
| 7 428× | lower-fma.f64 |
| 7 428× | lower-fma.f32 |
| 2 496× | lower-*.f64 |
| 2 496× | lower-*.f32 |
| 1 468× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 1006 |
| 1 | 346 | 742 |
| 2 | 1046 | 742 |
| 3 | 3278 | 742 |
| 4 | 5788 | 742 |
| 5 | 7697 | 742 |
| 0 | 8095 | 688 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* -1 (* x y))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(* -1 (* x y)) |
(+ (* -1 (* x y)) (* y z)) |
(+ (* -1 (* x y)) (* y z)) |
(+ (* -1 (* x y)) (* y z)) |
(* -1 x) |
(- z x) |
(- z x) |
(- z x) |
(* y z) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(* y z) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(* z (+ y (* -1 (/ (* x y) z)))) |
z |
(* z (+ 1 (* -1 (/ x z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
z |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (* z (- (/ x z) 1))) |
x |
(+ x (* y (- z x))) |
(+ x (* y (- z x))) |
(+ x (* y (- z x))) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(* y (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
(* y (- (+ z (/ x y)) x)) |
(* y (- (+ z (/ x y)) x)) |
(* y (- (+ z (/ x y)) x)) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(/ (* y (- z x)) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* y (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
(* y z) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(* y z) |
(+ (* -1 (* x y)) (* y z)) |
(+ (* -1 (* x y)) (* y z)) |
(+ (* -1 (* x y)) (* y z)) |
z |
(+ z (* -1 x)) |
(+ z (* -1 x)) |
(+ z (* -1 x)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* x (- (/ z x) 1)) |
(* x (- (/ z x) 1)) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
| Outputs |
|---|
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
(* -1 x) |
(neg.f64 x) |
(- z x) |
(-.f64 z x) |
(- z x) |
(-.f64 z x) |
(- z x) |
(-.f64 z x) |
(* y z) |
(*.f64 z y) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(fma.f64 (-.f64 z x) y x) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(fma.f64 (-.f64 z x) y x) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(fma.f64 (-.f64 z x) y x) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* y z) |
(*.f64 z y) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
z |
(* z (+ 1 (* -1 (/ x z)))) |
(-.f64 z x) |
(* z (+ 1 (* -1 (/ x z)))) |
(-.f64 z x) |
(* z (+ 1 (* -1 (/ x z)))) |
(-.f64 z x) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(fma.f64 (-.f64 z x) y x) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
z |
(* -1 (* z (- (/ x z) 1))) |
(-.f64 z x) |
(* -1 (* z (- (/ x z) 1))) |
(-.f64 z x) |
(* -1 (* z (- (/ x z) 1))) |
(-.f64 z x) |
x |
(+ x (* y (- z x))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (* y (- z x))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (* y (- z x))) |
(fma.f64 (-.f64 z x) y x) |
(/ x z) |
(/.f64 x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- (+ z (/ x y)) x)) |
(fma.f64 (-.f64 z x) y x) |
(* y (- (+ z (/ x y)) x)) |
(fma.f64 (-.f64 z x) y x) |
(* y (- (+ z (/ x y)) x)) |
(fma.f64 (-.f64 z x) y x) |
(/ (* y (- z x)) z) |
(/.f64 (*.f64 (-.f64 z x) y) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(fma.f64 (-.f64 z x) y x) |
(/ (* y (- z x)) z) |
(/.f64 (*.f64 (-.f64 z x) y) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y (- z x)) |
(*.f64 (-.f64 z x) y) |
(* y z) |
(*.f64 z y) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* y z) |
(*.f64 z y) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
z |
(+ z (* -1 x)) |
(-.f64 z x) |
(+ z (* -1 x)) |
(-.f64 z x) |
(+ z (* -1 x)) |
(-.f64 z x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (-.f64 z x) y x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (-.f64 z x) y x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (-.f64 z x) y x) |
(/ (* x (+ 1 (* -1 y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(*.f64 (-.f64 z x) y) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(*.f64 (-.f64 z x) y) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(*.f64 (-.f64 z x) y) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ z x) 1)) |
(-.f64 z x) |
(* x (- (/ z x) 1)) |
(-.f64 z x) |
(* x (- (/ z x) 1)) |
(-.f64 z x) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(*.f64 (-.f64 z x) y) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(-.f64 z x) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(-.f64 z x) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(-.f64 z x) |
| 4 848× | lower-fma.f64 |
| 4 848× | lower-fma.f32 |
| 4 800× | lower-*.f32 |
| 4 798× | lower-*.f64 |
| 3 004× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 0 | 11 | 24 |
| 1 | 46 | 24 |
| 2 | 352 | 24 |
| 3 | 4576 | 24 |
| 0 | 9115 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (*.f64 y (-.f64 z x))) |
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
(*.f64 y (-.f64 z x)) |
(-.f64 z x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 z x) y) x) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 z x) y) (fma.f64 (-.f64 z x) y x) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y)) (-.f64 (*.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (fma.f64 (-.f64 z x) y x)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (-.f64 z x) y x))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z x) y x)) |
(*.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) (*.f64 (fma.f64 (-.f64 z x) y x) (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) (/.f64 (fma.f64 (-.f64 z x) y x) (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 z x) y x) (*.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (-.f64 z x) y x) (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (-.f64 x (*.f64 (-.f64 z x) y)))) |
(*.f64 (fma.f64 (-.f64 z x) y x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 4 binary64))) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64))) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 z #s(literal 6 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z (+.f64 z x))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (+.f64 z x))) #s(literal 2 binary64))) (fma.f64 z (/.f64 z (+.f64 z x)) (*.f64 x (/.f64 x (+.f64 z x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 (neg.f64 x) z)) |
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (+.f64 z x) #s(literal -3 binary64))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 z x) #s(literal -3 binary64)))) (+.f64 (pow.f64 (*.f64 z (/.f64 z (+.f64 z x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 z x))) #s(literal 2 binary64)) (*.f64 (*.f64 z (/.f64 z (+.f64 z x))) (*.f64 x (/.f64 x (+.f64 z x))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -3 binary64))) (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) (neg.f64 (neg.f64 (+.f64 z x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (*.f64 x x)) (+.f64 z x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64))) (+.f64 z x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) #s(literal 1 binary64)) (+.f64 z x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 z x)) (*.f64 (+.f64 z x) (*.f64 x x))) (pow.f64 (+.f64 z x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 z x) (fma.f64 z z (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 z x) (fma.f64 (*.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (+.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 z #s(literal 6 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z))) (neg.f64 (+.f64 z x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (+.f64 z x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 (neg.f64 x) z)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z))) |
(neg.f64 (neg.f64 (-.f64 z x))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z x) x) (-.f64 (*.f64 (+.f64 z x) x) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x z) (*.f64 z z)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x))))) |
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 (neg.f64 x) x (*.f64 z z))) (-.f64 z x) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x))))) |
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 z) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x z) |
(fma.f64 #s(literal 1 binary64) z (neg.f64 x)) |
(fma.f64 (*.f64 z z) (/.f64 z (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 (*.f64 z z) (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x))))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 z (/.f64 (*.f64 z z) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(fma.f64 z (/.f64 z (+.f64 z x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x))))) |
(fma.f64 z #s(literal 1 binary64) (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) z) |
(-.f64 (+.f64 z #s(literal 0 binary64)) x) |
(-.f64 (*.f64 z (/.f64 z (+.f64 z x))) (*.f64 x (/.f64 x (+.f64 z x)))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x z)) |
(-.f64 z x) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 z (/.f64 z (+.f64 z x))) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x))))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))) |
(+.f64 (neg.f64 x) z) |
(+.f64 z (neg.f64 x)) |
Compiled 10 620 to 1 334 computations (87.4% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 485 | 13 | 498 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 486 | 13 | 499 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.1% | (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) |
| ▶ | 87.9% | (/.f64 (fma.f64 (-.f64 z x) y x) z) |
| 68.4% | (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) | |
| 56.4% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) | |
| ▶ | 59.2% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
| 31.1% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) | |
| 87.7% | (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y x))) | |
| 87.6% | (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal -1 binary64)) (neg.f64 z))) | |
| 34.1% | (*.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) z) (/.f64 (fma.f64 (-.f64 z x) y x) (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)))) | |
| 87.7% | (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) | |
| ▶ | 97.2% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
| ▶ | 38.7% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| 60.3% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
Compiled 302 to 210 computations (30.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 (neg.f64 x) x (*.f64 z z)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) | |
| cost-diff | 1536 | (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) | |
| cost-diff | 0 | (-.f64 z x) | |
| cost-diff | 0 | (fma.f64 (-.f64 z x) y x) | |
| cost-diff | 0 | (/.f64 (fma.f64 (-.f64 z x) y x) z) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| cost-diff | 0 | #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
| 10 880× | lower-fma.f32 |
| 10 872× | lower-fma.f64 |
| 3 412× | lower-*.f32 |
| 3 408× | lower-*.f64 |
| 1 726× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 169 |
| 0 | 47 | 149 |
| 1 | 74 | 149 |
| 2 | 111 | 149 |
| 3 | 224 | 149 |
| 4 | 549 | 149 |
| 5 | 1145 | 149 |
| 6 | 2752 | 149 |
| 7 | 5250 | 149 |
| 0 | 8102 | 149 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
z |
x |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
z |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(fma.f64 (-.f64 z x) y x) |
(-.f64 z x) |
z |
x |
y |
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) |
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) |
(fma.f64 (neg.f64 x) x (*.f64 z z)) |
(neg.f64 x) |
x |
(*.f64 z z) |
z |
(/.f64 y (+.f64 z x)) |
y |
(+.f64 z x) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
z |
x |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
z |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(fma.f64 (-.f64 z x) y x) |
(-.f64 z x) |
z |
x |
y |
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) |
(fma.f64 (-.f64 z x) y x) |
(fma.f64 (neg.f64 x) x (*.f64 z z)) |
(neg.f64 x) |
x |
(*.f64 z z) |
z |
(/.f64 y (+.f64 z x)) |
y |
(+.f64 z x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (/.f64 y (+.f64 z x)) | |
| accuracy | 2.003884230844482 | (fma.f64 (neg.f64 x) x (*.f64 z z)) | |
| accuracy | 7.77087366599967 | (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) | |
| accuracy | 21.599917355444926 | (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) | |
| accuracy | 0 | (fma.f64 (-.f64 z x) y x) | |
| accuracy | 0 | (-.f64 z x) | |
| accuracy | 7.77087366599967 | (/.f64 (fma.f64 (-.f64 z x) y x) z) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| accuracy | 7.77087366599967 | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) | |
| accuracy | 23.700464394196576 | #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 39.25018987386556 | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| accuracy | 1.7621363323286392 | (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
| 62.0ms | 256× | 0 | valid |
Compiled 154 to 28 computations (81.8% saved)
ival-mult: 24.0ms (52.7% of total)ival-div: 9.0ms (19.8% of total)ival-add: 8.0ms (17.6% of total)ival-sub: 3.0ms (6.6% of total)ival-neg: 1.0ms (2.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (-.f64 z x) y x) z) (patch (/.f64 (fma.f64 (-.f64 z x) y x) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 z x) y x) (patch (fma.f64 (-.f64 z x) y x) #<representation binary64>) () ()) |
#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) (patch (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) (patch (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 x) x (*.f64 z z)) (patch (fma.f64 (neg.f64 x) x (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 y (+.f64 z x)) (patch (/.f64 y (+.f64 z x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 y) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) #<representation binary64>) () ())) ()) |
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#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (-.f64 z x) y x) z) (patch (/.f64 (fma.f64 (-.f64 z x) y x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (-.f64 z x) y x) z) (patch (/.f64 (fma.f64 (-.f64 z x) y x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (-.f64 z x) y x) z) (patch (/.f64 (fma.f64 (-.f64 z x) y x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (-.f64 z x) y x) z) (patch (/.f64 (fma.f64 (-.f64 z x) y x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 z x) y x) (patch (fma.f64 (-.f64 z x) y x) #<representation binary64>) () ())) ()) |
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#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 z x) y x) (patch (fma.f64 (-.f64 z x) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt (fma.f64 (-.f64 z x) y x) (patch (fma.f64 (-.f64 z x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (- z x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (- z x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (- z x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) (patch (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) (patch (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) (patch (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) (patch (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) (patch (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) (patch (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) (patch (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) (patch (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 x) x (*.f64 z z)) (patch (fma.f64 (neg.f64 x) x (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow x 2)) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 x) x (*.f64 z z)) (patch (fma.f64 (neg.f64 x) x (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow x 2)) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 x) x (*.f64 z z)) (patch (fma.f64 (neg.f64 x) x (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (pow x 2)) (pow z 2)) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 x) x (*.f64 z z)) (patch (fma.f64 (neg.f64 x) x (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 z) (#s(alt (/.f64 y (+.f64 z x)) (patch (/.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
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#s(alt y (taylor inf z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ()) |
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#s(alt y (taylor inf z) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) (patch (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) (patch (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) (patch (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) (patch (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) (patch (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) (patch (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) x (*.f64 z z)) (patch (fma.f64 (neg.f64 x) x (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) 1)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) x (*.f64 z z)) (patch (fma.f64 (neg.f64 x) x (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) 1)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) x (*.f64 z z)) (patch (fma.f64 (neg.f64 x) x (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ (pow z 2) (pow x 2)) 1)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) x (*.f64 z z)) (patch (fma.f64 (neg.f64 x) x (*.f64 z z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y (+.f64 z x)) (patch (/.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 y) (/ (* y z) x)) x)) (taylor -inf x) (#s(alt (/.f64 y (+.f64 z x)) (patch (/.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow z 2)) x) (* y z)) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (+.f64 z x)) (patch (/.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow z 3)) x) (* y (pow z 2))) x)) (* y z)) x))) x)) (taylor -inf x) (#s(alt (/.f64 y (+.f64 z x)) (patch (/.f64 y (+.f64 z x)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (- z x) (+ (* (+ (* (neg x) x) (* z z)) (/ y (+ z x))) x) (/ (+ (* (+ (* (neg x) x) (* z z)) (/ y (+ z x))) x) z) (+ (* (neg x) x) (* z z)) (neg x) (/ y (+ z x))) |
| 4.0ms | z | @ | 0 | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (- z x) (+ (* (+ (* (neg x) x) (* z z)) (/ y (+ z x))) x) (/ (+ (* (+ (* (neg x) x) (* z z)) (/ y (+ z x))) x) z) (+ (* (neg x) x) (* z z)) (neg x) (/ y (+ z x))) |
| 3.0ms | z | @ | -inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (- z x) (+ (* (+ (* (neg x) x) (* z z)) (/ y (+ z x))) x) (/ (+ (* (+ (* (neg x) x) (* z z)) (/ y (+ z x))) x) z) (+ (* (neg x) x) (* z z)) (neg x) (/ y (+ z x))) |
| 3.0ms | x | @ | -inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (- z x) (+ (* (+ (* (neg x) x) (* z z)) (/ y (+ z x))) x) (/ (+ (* (+ (* (neg x) x) (* z z)) (/ y (+ z x))) x) z) (+ (* (neg x) x) (* z z)) (neg x) (/ y (+ z x))) |
| 3.0ms | x | @ | inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (- z x) (+ (* (+ (* (neg x) x) (* z z)) (/ y (+ z x))) x) (/ (+ (* (+ (* (neg x) x) (* z z)) (/ y (+ z x))) x) z) (+ (* (neg x) x) (* z z)) (neg x) (/ y (+ z x))) |
| 1× | egg-herbie |
| 11 172× | lower-fma.f64 |
| 11 172× | lower-fma.f32 |
| 3 900× | lower-*.f64 |
| 3 900× | lower-*.f32 |
| 3 158× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 306 | 4363 |
| 1 | 967 | 3938 |
| 2 | 2812 | 3836 |
| 3 | 7385 | 3834 |
| 0 | 8440 | 3609 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (* x (- 1 y)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(+ x (* -1 (* x y))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(+ x (* -1 (* x y))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(* -1 x) |
(- z x) |
(- z x) |
(- z x) |
(+ x (* -1 (* x y))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(* -1 (pow x 2)) |
(+ (* -1 (pow x 2)) (pow z 2)) |
(+ (* -1 (pow x 2)) (pow z 2)) |
(+ (* -1 (pow x 2)) (pow z 2)) |
(/ y x) |
(+ (* -1 (/ (* y z) (pow x 2))) (/ y x)) |
(+ (* z (- (/ (* y z) (pow x 3)) (/ y (pow x 2)))) (/ y x)) |
(+ (* z (- (* z (- (* -1 (/ (* y z) (pow x 4))) (* -1 (/ y (pow x 3))))) (/ y (pow x 2)))) (/ y x)) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* x (- 1 y)) z)) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(* y z) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(* y z) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
z |
(* z (+ 1 (* -1 (/ x z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* y z) |
(* z (- (+ y (/ x z)) (/ (* x y) z))) |
(* z (- (+ y (/ x z)) (/ (* x y) z))) |
(* z (- (+ y (/ x z)) (/ (* x y) z))) |
y |
(- (+ y (/ x z)) (/ (* x y) z)) |
(- (+ y (/ x z)) (/ (* x y) z)) |
(- (+ y (/ x z)) (/ (* x y) z)) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (pow x 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (pow x 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (pow x 2) (pow z 2))))) |
(/ y z) |
(/ (+ y (* -1 (/ (* x y) z))) z) |
(/ (- (+ y (/ (* (pow x 2) y) (pow z 2))) (/ (* x y) z)) z) |
(/ (- (+ y (* -1 (/ (* (pow x 3) y) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) y) (pow z 2))) (/ (* x y) z))) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* x (- 1 y)) z)) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
z |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (* z (- (/ x z) 1))) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (- x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (- x (* x y)) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (- x (* x y)) z))))) |
y |
(- (+ y (/ x z)) (/ (* x y) z)) |
(- (+ y (/ x z)) (/ (* x y) z)) |
(- (+ y (/ x z)) (/ (* x y) z)) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (pow x 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (pow x 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (pow x 2) (pow z 2))))) |
(/ y z) |
(* -1 (/ (+ (* -1 y) (/ (* x y) z)) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* (pow x 2) y) z) (* x y)) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) y) z) (* (pow x 2) y)) z)) (* x y)) z))) z)) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(/ x z) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(/ 1 z) |
(+ (* -1 (/ y z)) (/ 1 z)) |
(+ (* -1 (/ y z)) (/ 1 z)) |
(+ (* -1 (/ y z)) (/ 1 z)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
x |
(+ x (* y (- z x))) |
(+ x (* y (- z x))) |
(+ x (* y (- z x))) |
x |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
x |
(+ x (* y (- z x))) |
(+ x (* y (- z x))) |
(+ x (* y (- z x))) |
x |
(+ x (* y (+ (* -1 (/ (pow x 2) (+ x z))) (/ (pow z 2) (+ x z))))) |
(+ x (* y (+ (* -1 (/ (pow x 2) (+ x z))) (/ (pow z 2) (+ x z))))) |
(+ x (* y (+ (* -1 (/ (pow x 2) (+ x z))) (/ (pow z 2) (+ x z))))) |
(/ x z) |
(+ (* y (+ (* -1 (/ (pow x 2) (* z (+ x z)))) (/ z (+ x z)))) (/ x z)) |
(+ (* y (+ (* -1 (/ (pow x 2) (* z (+ x z)))) (/ z (+ x z)))) (/ x z)) |
(+ (* y (+ (* -1 (/ (pow x 2) (* z (+ x z)))) (/ z (+ x z)))) (/ x z)) |
(/ y (+ x z)) |
(/ y (+ x z)) |
(/ y (+ x z)) |
(/ y (+ x z)) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (+ 1 (* -1 (/ x z)))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* -1 (/ y z)) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- z x)) |
(* y (- (+ z (/ x y)) x)) |
(* y (- (+ z (/ x y)) x)) |
(* y (- (+ z (/ x y)) x)) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ x y))) |
(* y (+ (* -1 x) (/ x y))) |
(* y (+ (* -1 x) (/ x y))) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- z x)) |
(* y (- (+ z (/ x y)) x)) |
(* y (- (+ z (/ x y)) x)) |
(* y (- (+ z (/ x y)) x)) |
(* y (+ (* -1 (/ (pow x 2) (+ x z))) (/ (pow z 2) (+ x z)))) |
(* y (+ (* -1 (/ (pow x 2) (+ x z))) (+ (/ x y) (/ (pow z 2) (+ x z))))) |
(* y (+ (* -1 (/ (pow x 2) (+ x z))) (+ (/ x y) (/ (pow z 2) (+ x z))))) |
(* y (+ (* -1 (/ (pow x 2) (+ x z))) (+ (/ x y) (/ (pow z 2) (+ x z))))) |
(/ (* y (+ (* -1 (/ (pow x 2) (+ x z))) (/ (pow z 2) (+ x z)))) z) |
(* y (+ (* -1 (/ (pow x 2) (* z (+ x z)))) (+ (/ x (* y z)) (/ z (+ x z))))) |
(* y (+ (* -1 (/ (pow x 2) (* z (+ x z)))) (+ (/ x (* y z)) (/ z (+ x z))))) |
(* y (+ (* -1 (/ (pow x 2) (* z (+ x z)))) (+ (/ x (* y z)) (/ z (+ x z))))) |
(/ y (+ x z)) |
(/ y (+ x z)) |
(/ y (+ x z)) |
(/ y (+ x z)) |
(/ (* y (- z x)) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (- (/ x z) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (/ y z)) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(/ (* y (- z x)) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(/ (* y (- z x)) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* y (- z x)) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(/ (* y (- z x)) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* y (- z x)) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(/ (* y (+ (* -1 (pow x 2)) (pow z 2))) (+ x z)) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) (+ x z)))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) (+ x z)))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) (+ x z)))))) |
(/ (* y (+ (* -1 (pow x 2)) (pow z 2))) (* z (+ x z))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) (* z (+ x z))))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) (* z (+ x z))))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) (* z (+ x z))))))) |
(/ y (+ x z)) |
(/ y (+ x z)) |
(/ y (+ x z)) |
(/ y (+ x z)) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
y |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(* y z) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(* y z) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
z |
(+ z (* -1 x)) |
(+ z (* -1 x)) |
(+ z (* -1 x)) |
(* y z) |
(+ (* x (- 1 y)) (* y z)) |
(+ (* x (- 1 y)) (* y z)) |
(+ (* x (- 1 y)) (* y z)) |
y |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(pow z 2) |
(+ (* -1 (pow x 2)) (pow z 2)) |
(+ (* -1 (pow x 2)) (pow z 2)) |
(+ (* -1 (pow x 2)) (pow z 2)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ y z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ y z)) |
(+ (* x (- (/ (* x y) (pow z 3)) (/ y (pow z 2)))) (/ y z)) |
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow z 4))) (* -1 (/ y (pow z 3))))) (/ y (pow z 2)))) (/ y z)) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (- (/ 1 z) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* x (- (/ z x) 1)) |
(* x (- (/ z x) 1)) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ y x) |
(/ (+ y (* -1 (/ (* y z) x))) x) |
(/ (- (+ y (/ (* y (pow z 2)) (pow x 2))) (/ (* y z) x)) x) |
(/ (- (+ y (* -1 (/ (* y (pow z 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ (* y z) x))) x) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(/ (* x (- 1 y)) z) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ y x) |
(* -1 (/ (+ (* -1 y) (/ (* y z) x)) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow z 2)) x) (* y z)) x))) x)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow z 3)) x) (* y (pow z 2))) x)) (* y z)) x))) x)) |
| Outputs |
|---|
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 x) |
(neg.f64 x) |
(- z x) |
(-.f64 z x) |
(- z x) |
(-.f64 z x) |
(- z x) |
(-.f64 z x) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(+ (* -1 (pow x 2)) (pow z 2)) |
(fma.f64 (neg.f64 x) x (*.f64 z z)) |
(+ (* -1 (pow x 2)) (pow z 2)) |
(fma.f64 (neg.f64 x) x (*.f64 z z)) |
(+ (* -1 (pow x 2)) (pow z 2)) |
(fma.f64 (neg.f64 x) x (*.f64 z z)) |
(/ y x) |
(/.f64 y x) |
(+ (* -1 (/ (* y z) (pow x 2))) (/ y x)) |
(/.f64 (fma.f64 (/.f64 z x) (neg.f64 y) y) x) |
(+ (* z (- (/ (* y z) (pow x 3)) (/ y (pow x 2)))) (/ y x)) |
(fma.f64 (*.f64 (/.f64 (/.f64 y x) x) (-.f64 (/.f64 z x) #s(literal 1 binary64))) z (/.f64 y x)) |
(+ (* z (- (* z (- (* -1 (/ (* y z) (pow x 4))) (* -1 (/ y (pow x 3))))) (/ y (pow x 2)))) (/ y x)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) (neg.f64 y) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) z (/.f64 (/.f64 (neg.f64 y) x) x)) z (/.f64 y x)) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (/ (* x (- 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (/ (* x (- 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* y z) |
(*.f64 z y) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z x) y x) z) z) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z x) y x) z) z) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z x) y x) z) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* y z) |
(*.f64 z y) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z x) y x) z) z) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z x) y x) z) z) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z x) y x) z) z) |
z |
(* z (+ 1 (* -1 (/ x z)))) |
(-.f64 z x) |
(* z (+ 1 (* -1 (/ x z)))) |
(-.f64 z x) |
(* z (+ 1 (* -1 (/ x z)))) |
(-.f64 z x) |
(* y z) |
(*.f64 z y) |
(* z (- (+ y (/ x z)) (/ (* x y) z))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z x) y x) z) z) |
(* z (- (+ y (/ x z)) (/ (* x y) z))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z x) y x) z) z) |
(* z (- (+ y (/ x z)) (/ (* x y) z))) |
(*.f64 (/.f64 (fma.f64 (-.f64 z x) y x) z) z) |
y |
(- (+ y (/ x z)) (/ (* x y) z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(- (+ y (/ x z)) (/ (* x y) z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(- (+ y (/ x z)) (/ (* x y) z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(pow z 2) |
(*.f64 z z) |
(* (pow z 2) (+ 1 (* -1 (/ (pow x 2) (pow z 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 x z) #s(literal 1 binary64)) z) z) |
(* (pow z 2) (+ 1 (* -1 (/ (pow x 2) (pow z 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 x z) #s(literal 1 binary64)) z) z) |
(* (pow z 2) (+ 1 (* -1 (/ (pow x 2) (pow z 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 x z) #s(literal 1 binary64)) z) z) |
(/ y z) |
(/.f64 y z) |
(/ (+ y (* -1 (/ (* x y) z))) z) |
(/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) y) z) |
(/ (- (+ y (/ (* (pow x 2) y) (pow z 2))) (/ (* x y) z)) z) |
(/.f64 (*.f64 (/.f64 y z) (fma.f64 x (/.f64 x z) (-.f64 z x))) z) |
(/ (- (+ y (* -1 (/ (* (pow x 3) y) (pow z 3)))) (+ (* -1 (/ (* (pow x 2) y) (pow z 2))) (/ (* x y) z))) z) |
(/.f64 (-.f64 y (/.f64 (fma.f64 y x (/.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 x z) #s(literal 1 binary64)) y)) z)) z)) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (/ (* x (- 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (/ (* x (- 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
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y |
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(fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) z) (/.f64 y (+.f64 z x)) (/.f64 x z)) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (+ (* -1 (pow x 2)) (pow z 2)) (* z (+ x z))))))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) z) (/.f64 y (+.f64 z x)) (/.f64 x z)) |
(/ y (+ x z)) |
(/.f64 y (+.f64 z x)) |
(/ y (+ x z)) |
(/.f64 y (+.f64 z x)) |
(/ y (+ x z)) |
(/.f64 y (+.f64 z x)) |
(/ y (+ x z)) |
(/.f64 y (+.f64 z x)) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
y |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
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y |
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(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* y z) |
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(fma.f64 (-.f64 z x) y x) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
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(fma.f64 (-.f64 z x) y x) |
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(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
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(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
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(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
y |
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(/.f64 (fma.f64 (-.f64 z x) y x) z) |
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(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* y z) |
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(+ (* x (+ 1 (* -1 y))) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
z |
(+ z (* -1 x)) |
(-.f64 z x) |
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(-.f64 z x) |
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(-.f64 z x) |
(* y z) |
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(fma.f64 (-.f64 z x) y x) |
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(fma.f64 (-.f64 z x) y x) |
(+ (* x (- 1 y)) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
y |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(pow z 2) |
(*.f64 z z) |
(+ (* -1 (pow x 2)) (pow z 2)) |
(fma.f64 (neg.f64 x) x (*.f64 z z)) |
(+ (* -1 (pow x 2)) (pow z 2)) |
(fma.f64 (neg.f64 x) x (*.f64 z z)) |
(+ (* -1 (pow x 2)) (pow z 2)) |
(fma.f64 (neg.f64 x) x (*.f64 z z)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ y z) |
(/.f64 y z) |
(+ (* -1 (/ (* x y) (pow z 2))) (/ y z)) |
(/.f64 (fma.f64 (/.f64 y z) (neg.f64 x) y) z) |
(+ (* x (- (/ (* x y) (pow z 3)) (/ y (pow z 2)))) (/ y z)) |
(fma.f64 (*.f64 (/.f64 (/.f64 y z) z) (-.f64 (/.f64 x z) #s(literal 1 binary64))) x (/.f64 y z)) |
(+ (* x (- (* x (- (* -1 (/ (* x y) (pow z 4))) (* -1 (/ y (pow z 3))))) (/ y (pow z 2)))) (/ y z)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 z #s(literal 4 binary64))) (neg.f64 x) (/.f64 y (pow.f64 z #s(literal 3 binary64)))) x (/.f64 (/.f64 (neg.f64 y) z) z)) x (/.f64 y z)) |
(/ (* x (+ 1 (* -1 y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* x (- (/ 1 z) (/ y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(/ (* x (+ 1 (* -1 y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (+ 1 (* -1 y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/ (* x (+ 1 (* -1 y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ z x) 1)) |
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* x (- (/ z x) 1)) |
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* x (- (/ z x) 1)) |
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x x) |
(/ (* x (+ 1 (* -1 y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal -1 binary64)) x) x) |
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal -1 binary64)) x) x) |
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal -1 binary64)) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* -1 (/ (* y z) x))) x) |
(/.f64 (fma.f64 (/.f64 z x) (neg.f64 y) y) x) |
(/ (- (+ y (/ (* y (pow z 2)) (pow x 2))) (/ (* y z) x)) x) |
(/.f64 (fma.f64 (/.f64 y x) (*.f64 z (-.f64 (/.f64 z x) #s(literal 1 binary64))) y) x) |
(/ (- (+ y (* -1 (/ (* y (pow z 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow z 2)) (pow x 2))) (/ (* y z) x))) x) |
(/.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (neg.f64 y) (fma.f64 (/.f64 y x) (*.f64 z (-.f64 (/.f64 z x) #s(literal 1 binary64))) y)) x) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(*.f64 (-.f64 (/.f64 z x) #s(literal 1 binary64)) x) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (fma.f64 z (/.f64 y x) (neg.f64 y)) x x) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal -1 binary64)) x) x) |
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal -1 binary64)) x) x) |
(* (pow x 2) (- (/ (pow z 2) (pow x 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 z x) (/.f64 z x) #s(literal -1 binary64)) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ y x) |
(/.f64 y x) |
(* -1 (/ (+ (* -1 y) (/ (* y z) x)) x)) |
(/.f64 (fma.f64 (/.f64 z x) (neg.f64 y) y) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow z 2)) x) (* y z)) x))) x)) |
(/.f64 (fma.f64 (/.f64 y x) (*.f64 z (-.f64 (/.f64 z x) #s(literal 1 binary64))) y) x) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow z 3)) x) (* y (pow z 2))) x)) (* y z)) x))) x)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (neg.f64 y) (fma.f64 (/.f64 y x) (*.f64 z (-.f64 (/.f64 z x) #s(literal 1 binary64))) y)) x) |
| 6 408× | lower-fma.f32 |
| 6 400× | lower-fma.f64 |
| 4 632× | lower-/.f32 |
| 4 622× | lower-/.f64 |
| 3 904× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 144 |
| 0 | 47 | 124 |
| 1 | 196 | 124 |
| 2 | 1518 | 124 |
| 0 | 8461 | 124 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
(/.f64 x z) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(fma.f64 (-.f64 z x) y x) |
(-.f64 z x) |
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) |
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) |
(fma.f64 (neg.f64 x) x (*.f64 z z)) |
(neg.f64 x) |
(/.f64 y (+.f64 z x)) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
(*.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y)))) (*.f64 (/.f64 (*.f64 y y) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))) (fma.f64 (/.f64 (*.f64 y y) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y)) (*.f64 y y))) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))) (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))) |
(fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 x z) y) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) y) z) y) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) y) |
(fma.f64 (/.f64 x (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) |
(fma.f64 (/.f64 x (/.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 (+.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal -1 binary64) z) y) |
(fma.f64 (*.f64 x (+.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z) y) |
(fma.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (/.f64 #s(literal -1 binary64) z) y) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
(fma.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))))) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal -1 binary64)) y) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y) |
(fma.f64 #s(literal 1 binary64) y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
(fma.f64 y #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (-.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))) (/.f64 (*.f64 y y) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 y))))) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y) |
(+.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
(*.f64 (pow.f64 (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) z) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y z)))) |
(*.f64 (-.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y z)))))) |
(*.f64 (-.f64 z (*.f64 z y)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z (-.f64 #s(literal 1 binary64) y))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) y) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (+.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(pow.f64 (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 (neg.f64 (/.f64 y z)) (neg.f64 (/.f64 y z)))) (-.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 (/.f64 y z)))) |
(/.f64 (+.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 y z)) (neg.f64 (/.f64 y z))) (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 (/.f64 y z)))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) z)) (neg.f64 (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z)) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y z)))))) |
(/.f64 (neg.f64 (-.f64 z (*.f64 z y))) (neg.f64 (*.f64 z z))) |
(/.f64 (-.f64 z (*.f64 (neg.f64 z) (neg.f64 y))) (*.f64 (neg.f64 z) (neg.f64 z))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) (*.f64 (neg.f64 z) #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 z y))) |
(/.f64 (-.f64 (neg.f64 z) (*.f64 (neg.f64 z) y)) (*.f64 (neg.f64 z) z)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 z (neg.f64 y))) (*.f64 z (neg.f64 z))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 z y)) z) (*.f64 z (/.f64 z y))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) z) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) |
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(*.f64 x #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 x x) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(*.f64 (pow.f64 (/.f64 (+.f64 z x) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 z x) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 y (fma.f64 z z (*.f64 x (+.f64 z x))))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (pow.f64 (+.f64 z x) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 y (pow.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (fma.f64 (neg.f64 x) x (*.f64 z z))) (-.f64 z x)) |
(*.f64 (/.f64 y (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x z) (*.f64 z z))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) #s(literal -1 binary64)) (*.f64 (-.f64 z x) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 z x) y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 (neg.f64 z) x))) |
(*.f64 (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 z x) #s(literal -1 binary64)) y) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 z x))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 z x))) |
(*.f64 y (pow.f64 (+.f64 z x) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64)) |
(/.f64 (/.f64 y (fma.f64 (neg.f64 x) x (*.f64 z z))) (pow.f64 (-.f64 z x) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 z x) y))) |
(/.f64 (neg.f64 y) (-.f64 (neg.f64 z) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 z x) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z x) y)) |
(/.f64 y (+.f64 z x)) |
(neg.f64 (/.f64 y (-.f64 (neg.f64 z) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 z) x)) (/.f64 y (-.f64 (neg.f64 z) x))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 (neg.f64 z) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 z x) y)) #s(literal -1 binary64))) |
Compiled 23 502 to 2 384 computations (89.9% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 243 | 11 | 1 254 |
| Fresh | 6 | 2 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 251 | 16 | 1 267 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.9% | (/.f64 (fma.f64 (-.f64 z x) y x) z) |
| ▶ | 68.4% | (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) |
| 56.4% | (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 (-.f64 z x) y)) z) | |
| ▶ | 31.1% | (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) |
| ✓ | 59.2% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
| 29.6% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) | |
| 87.7% | (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y x))) | |
| 59.2% | (/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))) | |
| 65.9% | #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (/.f64 y z) (neg.f64 x) y)) | |
| ▶ | 89.1% | #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) |
| ▶ | 61.6% | #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) |
| ▶ | 97.2% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y)) |
| 76.1% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) | |
| 83.7% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) | |
| ✓ | 38.7% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| 97.1% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) |
Compiled 278 to 241 computations (13.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) | |
| cost-diff | 832 | (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (* y (- z x)) (*.f64 z y)) | |
| cost-diff | 0 | (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) | |
| cost-diff | 0 | (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (+ (* (- z x) y) x) (*.f64 z y)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) | |
| cost-diff | 0 | (pow.f64 z #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y)) | |
| cost-diff | 12928 | (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
| 18 544× | lower-fma.f32 |
| 18 542× | lower-fma.f64 |
| 2 722× | lower-*.f32 |
| 2 716× | lower-*.f64 |
| 2 160× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 217 |
| 0 | 50 | 219 |
| 1 | 77 | 219 |
| 2 | 125 | 205 |
| 3 | 283 | 199 |
| 4 | 713 | 199 |
| 5 | 1479 | 199 |
| 6 | 2712 | 199 |
| 7 | 4135 | 199 |
| 8 | 5525 | 199 |
| 9 | 6154 | 199 |
| 10 | 6340 | 199 |
| 11 | 6426 | 199 |
| 12 | 6455 | 199 |
| 13 | 6619 | 199 |
| 14 | 6943 | 199 |
| 15 | 7464 | 199 |
| 16 | 7499 | 199 |
| 17 | 7521 | 199 |
| 18 | 7533 | 199 |
| 19 | 7533 | 199 |
| 20 | 7533 | 199 |
| 0 | 8204 | 194 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y)) |
(fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(pow.f64 z #s(literal -1 binary64)) |
z |
#s(literal -1 binary64) |
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) |
#s(approx (+ (* (- z x) y) x) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 x z) |
x |
z |
(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) |
(+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) |
x |
#s(approx (* y (- z x)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(/.f64 y x) |
y |
x |
(/.f64 (-.f64 y #s(literal 1 binary64)) z) |
(-.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) |
(fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(pow.f64 z #s(literal -1 binary64)) |
z |
#s(literal -1 binary64) |
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) |
#s(approx (+ (* (- z x) y) x) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 x z) |
x |
z |
(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) |
(/.f64 (+.f64 #s(approx (* y (- z x)) (*.f64 z y)) x) z) |
(+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) |
(+.f64 #s(approx (* y (- z x)) (*.f64 z y)) x) |
x |
#s(approx (* y (- z x)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y) |
(-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(/.f64 y x) |
y |
x |
(/.f64 (-.f64 y #s(literal 1 binary64)) z) |
(-.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 y #s(literal 1 binary64)) z) | |
| accuracy | 0.7148396216604116 | (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) | |
| accuracy | 6.6283090646736715 | (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.01171875 | (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) | |
| accuracy | 7.77087366599967 | (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) | |
| accuracy | 29.599047376635685 | #s(approx (* y (- z x)) (*.f64 z y)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 2.393498044067226 | (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) | |
| accuracy | 24.518800375071056 | #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 7.77087366599967 | (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) | |
| accuracy | 37.80876677888526 | #s(approx (+ (* (- z x) y) x) (*.f64 z y)) | |
| accuracy | 0 | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y)) | |
| accuracy | 0.0078125 | (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) | |
| accuracy | 0.154628759768442 | (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) | |
| accuracy | 1.7621363323286392 | (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) |
| 63.0ms | 256× | 0 | valid |
Compiled 167 to 28 computations (83.2% saved)
ival-mult: 21.0ms (45.2% of total)ival-div: 9.0ms (19.4% of total)ival-pow: 7.0ms (15.1% of total)ival-sub: 5.0ms (10.8% of total)ival-add: 3.0ms (6.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) (patch (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) #<representation binary64>) () ()) |
#s(alt (pow.f64 z #s(literal -1 binary64)) (patch (pow.f64 z #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (- z x) y) x) (*.f64 z y)) (patch #s(approx (+ (* (- z x) y) x) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) (patch (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* y (- z x)) (*.f64 z y)) (patch #s(approx (* y (- z x)) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) (patch (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) (patch (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 y #s(literal 1 binary64)) z) (patch (/.f64 (-.f64 y #s(literal 1 binary64)) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (- 1 y) z) (taylor 0 z) (#s(alt (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 y) z) (taylor 0 z) (#s(alt (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 y) z) (taylor 0 z) (#s(alt (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 y) z) (taylor 0 z) (#s(alt (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) (patch (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) (patch (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) (patch (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) (patch (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor 0 z) (#s(alt (pow.f64 z #s(literal -1 binary64)) (patch (pow.f64 z #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor 0 z) (#s(alt (pow.f64 z #s(literal -1 binary64)) (patch (pow.f64 z #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor 0 z) (#s(alt (pow.f64 z #s(literal -1 binary64)) (patch (pow.f64 z #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor 0 z) (#s(alt (pow.f64 z #s(literal -1 binary64)) (patch (pow.f64 z #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 z) (#s(alt #s(approx (+ (* (- z x) y) x) (*.f64 z y)) (patch #s(approx (+ (* (- z x) y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ (* (- z x) y) x) (*.f64 z y)) (patch #s(approx (+ (* (- z x) y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ (* (- z x) y) x) (*.f64 z y)) (patch #s(approx (+ (* (- z x) y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ (* (- z x) y) x) (*.f64 z y)) (patch #s(approx (+ (* (- z x) y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) (patch (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) (patch (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) (patch (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) (patch (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 z) (#s(alt (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 z) (#s(alt #s(approx (* y (- z x)) (*.f64 z y)) (patch #s(approx (* y (- z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (* y (- z x)) (*.f64 z y)) (patch #s(approx (* y (- z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (* y (- z x)) (*.f64 z y)) (patch #s(approx (* y (- z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 z) (#s(alt #s(approx (* y (- z x)) (*.f64 z y)) (patch #s(approx (* y (- z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) (patch (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) (patch (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) (patch (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) (patch (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (+ 1 (/ (* y z) x)) y) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) (patch (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ (* y z) x)) y) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) (patch (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) (patch (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) (patch (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) (patch (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) (patch (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) (patch (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (- z x) y) x) (*.f64 z y)) (patch #s(approx (+ (* (- z x) y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (- z x) y) x) (*.f64 z y)) (patch #s(approx (+ (* (- z x) y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (- z x) y) x) (*.f64 z y)) (patch #s(approx (+ (* (- z x) y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (- z x) y) x) (*.f64 z y)) (patch #s(approx (+ (* (- z x) y) x) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) (patch (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) (patch (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) (patch (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) (patch (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (* y (- z x)) (*.f64 z y)) (patch #s(approx (* y (- z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* y (- z x)) (*.f64 z y)) (patch #s(approx (* y (- z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* y (- z x)) (*.f64 z y)) (patch #s(approx (* y (- z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* y (- z x)) (*.f64 z y)) (patch #s(approx (* y (- z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ 1 z) (/ y z))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) (patch (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- (/ 1 z) (/ y z))) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) (patch (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- (/ 1 z) (/ y z))) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) (patch (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- (/ 1 z) (/ y z))) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) (patch (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ 1 z) (/ y z)) (taylor -inf x) (#s(alt (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) (patch (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (/ 1 z) (/ y x)) (/ y z)) (taylor -inf x) (#s(alt (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) (patch (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (/ 1 z) (/ y x)) (/ y z)) (taylor -inf x) (#s(alt (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) (patch (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (/ 1 z) (/ y x)) (/ y z)) (taylor -inf x) (#s(alt (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) (patch (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | z | @ | inf | ((/ (pow z -1) (pow (- 1 y) -1)) (/ (+ x (* y (- z x))) z) (+ (* (/ (pow z -1) (pow (- 1 y) -1)) x) y) (pow z -1) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (* z y) (/ (+ (* (- z x) y) x) z) (* (- 1 y) (/ x z)) (- 1 y) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* (- (/ y x) (/ (- y 1) z)) x) (/ (+ (* (- z x) y) x) z) (- (/ y x) (/ (- y 1) z)) (/ y x) (pow (- 1 y) -1) (/ (- y 1) z)) |
| 15.0ms | x | @ | -inf | ((/ (pow z -1) (pow (- 1 y) -1)) (/ (+ x (* y (- z x))) z) (+ (* (/ (pow z -1) (pow (- 1 y) -1)) x) y) (pow z -1) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (* z y) (/ (+ (* (- z x) y) x) z) (* (- 1 y) (/ x z)) (- 1 y) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* (- (/ y x) (/ (- y 1) z)) x) (/ (+ (* (- z x) y) x) z) (- (/ y x) (/ (- y 1) z)) (/ y x) (pow (- 1 y) -1) (/ (- y 1) z)) |
| 3.0ms | z | @ | -inf | ((/ (pow z -1) (pow (- 1 y) -1)) (/ (+ x (* y (- z x))) z) (+ (* (/ (pow z -1) (pow (- 1 y) -1)) x) y) (pow z -1) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (* z y) (/ (+ (* (- z x) y) x) z) (* (- 1 y) (/ x z)) (- 1 y) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* (- (/ y x) (/ (- y 1) z)) x) (/ (+ (* (- z x) y) x) z) (- (/ y x) (/ (- y 1) z)) (/ y x) (pow (- 1 y) -1) (/ (- y 1) z)) |
| 3.0ms | y | @ | -inf | ((/ (pow z -1) (pow (- 1 y) -1)) (/ (+ x (* y (- z x))) z) (+ (* (/ (pow z -1) (pow (- 1 y) -1)) x) y) (pow z -1) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (* z y) (/ (+ (* (- z x) y) x) z) (* (- 1 y) (/ x z)) (- 1 y) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* (- (/ y x) (/ (- y 1) z)) x) (/ (+ (* (- z x) y) x) z) (- (/ y x) (/ (- y 1) z)) (/ y x) (pow (- 1 y) -1) (/ (- y 1) z)) |
| 2.0ms | z | @ | 0 | ((/ (pow z -1) (pow (- 1 y) -1)) (/ (+ x (* y (- z x))) z) (+ (* (/ (pow z -1) (pow (- 1 y) -1)) x) y) (pow z -1) (/ (+ (* (- z x) y) x) z) (+ (* (- z x) y) x) (* z y) (/ (+ (* (- z x) y) x) z) (* (- 1 y) (/ x z)) (- 1 y) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* (- (/ y x) (/ (- y 1) z)) x) (/ (+ (* (- z x) y) x) z) (- (/ y x) (/ (- y 1) z)) (/ y x) (pow (- 1 y) -1) (/ (- y 1) z)) |
| 1× | egg-herbie |
| 8 994× | lower-fma.f64 |
| 8 994× | lower-fma.f32 |
| 3 000× | lower-*.f64 |
| 3 000× | lower-*.f32 |
| 1 384× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 199 | 4662 |
| 1 | 614 | 3761 |
| 2 | 1799 | 3755 |
| 3 | 5065 | 3755 |
| 0 | 8078 | 3504 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (* x (- 1 y)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(+ x (* -1 (* x y))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(+ x (* -1 (* x y))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
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(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
| Outputs |
|---|
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x 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) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- (+ 1 (/ (* y z) x)) y) z) |
(/.f64 (fma.f64 (/.f64 z x) y (-.f64 #s(literal 1 binary64) y)) z) |
(/ (- (+ 1 (/ (* y z) x)) y) z) |
(/.f64 (fma.f64 (/.f64 z x) y (-.f64 #s(literal 1 binary64) y)) z) |
(/ (- (+ 1 (/ (* y z) x)) y) z) |
(/.f64 (fma.f64 (/.f64 z x) y (-.f64 #s(literal 1 binary64) y)) z) |
(/ (- y 1) z) |
(/.f64 (-.f64 y #s(literal 1 binary64)) z) |
(/ (- y 1) z) |
(/.f64 (-.f64 y #s(literal 1 binary64)) z) |
(/ (- y 1) z) |
(/.f64 (-.f64 y #s(literal 1 binary64)) z) |
(/ (- y 1) z) |
(/.f64 (-.f64 y #s(literal 1 binary64)) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x 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) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* y z) |
(*.f64 z y) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(fma.f64 (-.f64 z x) y x) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(fma.f64 (-.f64 z x) y x) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(fma.f64 (-.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* y z) |
(*.f64 z y) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(fma.f64 (-.f64 z x) y x) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(fma.f64 (-.f64 z x) y x) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(fma.f64 (-.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ y x) |
(/.f64 y x) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(/ (- y 1) z) |
(/.f64 (-.f64 y #s(literal 1 binary64)) z) |
(/ (- y 1) z) |
(/.f64 (-.f64 y #s(literal 1 binary64)) z) |
(/ (- y 1) z) |
(/.f64 (-.f64 y #s(literal 1 binary64)) z) |
(/ (- y 1) z) |
(/.f64 (-.f64 y #s(literal 1 binary64)) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x 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) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(fma.f64 (-.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(fma.f64 (-.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(*.f64 (-.f64 z x) y) |
y |
(+ y (* -1 (/ (* x (- y 1)) z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (* -1 (/ (* x (- y 1)) z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (* -1 (/ (* x (- y 1)) z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ y x) |
(/.f64 y x) |
(+ (* -1 (/ (- y 1) z)) (/ y x)) |
(-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(+ (* -1 (/ (- y 1) z)) (/ y x)) |
(-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(+ (* -1 (/ (- y 1) z)) (/ y x)) |
(-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(/ (- y 1) z) |
(/.f64 (-.f64 y #s(literal 1 binary64)) z) |
(/ (- y 1) z) |
(/.f64 (-.f64 y #s(literal 1 binary64)) z) |
(/ (- y 1) z) |
(/.f64 (-.f64 y #s(literal 1 binary64)) z) |
(/ (- y 1) z) |
(/.f64 (-.f64 y #s(literal 1 binary64)) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(+ (* -1 (/ y z)) (/ 1 z)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(+ (* -1 (/ y z)) (/ 1 z)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(+ (* -1 (/ y z)) (/ 1 z)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ x z) |
(/.f64 x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ x z) |
(/.f64 x z) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ x z) |
(/.f64 x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
x |
(+ x (* y (- z x))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (* y (- z x))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (* y (- z x))) |
(fma.f64 (-.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
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y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* y z) |
(*.f64 z y) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(fma.f64 (-.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
(+ (* -1 (* x y)) (* y z)) |
(*.f64 (-.f64 z x) y) |
y |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ y x) |
(/.f64 y x) |
(/ (+ y (* x (- (/ 1 z) (/ y z)))) x) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) x) |
(/ (+ y (* x (- (/ 1 z) (/ y z)))) x) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) x) |
(/ (+ y (* x (- (/ 1 z) (/ y z)))) x) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ (* x (+ 1 (* -1 y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (- (/ 1 z) (/ y z))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (* x (+ 1 (* -1 y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (-.f64 z x) y x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (-.f64 z x) y x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (-.f64 z x) y x) |
(/ (* x (+ 1 (* -1 y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (* x (+ 1 (* -1 y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (-.f64 z x) y x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (-.f64 z x) y x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(*.f64 (-.f64 z x) y) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(*.f64 (-.f64 z x) y) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(*.f64 (-.f64 z x) y) |
(* x (- (/ 1 z) (/ y z))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (* x (+ 1 (* -1 y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(- (/ 1 z) (/ y z)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(*.f64 (-.f64 z x) y) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(*.f64 (-.f64 z x) y) |
(* x (- (/ 1 z) (/ y z))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* x (+ (* -1 (- (/ 1 z) (/ y z))) (* -1 (/ y x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (+ (* -1 (- (/ 1 z) (/ y z))) (* -1 (/ y x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (+ (* -1 (- (/ 1 z) (/ y z))) (* -1 (/ y x))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(- (/ 1 z) (/ y z)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
| 5 164× | lower-*.f32 |
| 5 158× | lower-*.f64 |
| 4 886× | lower-/.f32 |
| 4 874× | lower-/.f64 |
| 2 196× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 190 |
| 0 | 50 | 190 |
| 1 | 227 | 178 |
| 2 | 1824 | 178 |
| 0 | 8395 | 173 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y)) |
(fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y) |
(pow.f64 z #s(literal -1 binary64)) |
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) |
#s(approx (+ (* (- z x) y) x) (*.f64 z y)) |
(*.f64 z y) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 x z) |
(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) |
(+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) |
#s(approx (* y (- z x)) (*.f64 z y)) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) |
(-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(/.f64 y x) |
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(/.f64 (-.f64 y #s(literal 1 binary64)) z) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))) (/.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 z #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (/.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) z)) |
(*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (+.f64 y #s(literal 1 binary64)))) |
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(*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))) |
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(*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(pow.f64 (/.f64 (/.f64 z (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))) (neg.f64 (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))) (neg.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 z #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 y z) (pow.f64 z #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 z #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 (/.f64 y z) (pow.f64 z #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) z))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))) z))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y z) (*.f64 z #s(literal 1 binary64)))) (neg.f64 (*.f64 z z))) |
(/.f64 (neg.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) (/.f64 z #s(literal 1 binary64))) (*.f64 (neg.f64 z) #s(literal 1 binary64))) (*.f64 (neg.f64 z) (/.f64 z #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) z) (*.f64 (neg.f64 z) #s(literal 1 binary64))) (*.f64 (neg.f64 z) z)) |
(/.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 (neg.f64 z) #s(literal -1 binary64))) (*.f64 z z)) |
(/.f64 (-.f64 (*.f64 y (/.f64 z #s(literal 1 binary64))) (*.f64 z #s(literal 1 binary64))) (*.f64 z (/.f64 z #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 y (neg.f64 z)) (*.f64 z #s(literal -1 binary64))) (*.f64 z (neg.f64 z))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 z #s(literal 1 binary64))) (*.f64 (/.f64 z y) #s(literal 1 binary64))) (*.f64 (/.f64 z y) (/.f64 z #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) #s(literal 1 binary64))) (*.f64 (/.f64 z y) z)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 (/.f64 z y) #s(literal -1 binary64))) (*.f64 (/.f64 z y) (neg.f64 z))) |
(/.f64 (-.f64 (neg.f64 y) #s(literal -1 binary64)) (neg.f64 z)) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 z #s(literal -2 binary64))) (+.f64 (/.f64 y z) (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 z #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 (/.f64 y z) (pow.f64 z #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) z)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (*.f64 z (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 z (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) z) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) z)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))) z)) |
(/.f64 (-.f64 (*.f64 y z) (*.f64 z #s(literal 1 binary64))) (*.f64 z z)) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 z (fma.f64 y y (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(/.f64 (-.f64 y #s(literal 1 binary64)) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (-.f64 y #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (-.f64 y #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(fma.f64 y (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(fma.f64 #s(literal 1 binary64) (/.f64 y z) (/.f64 #s(literal -1 binary64) z)) |
(-.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) (pow.f64 z #s(literal -1 binary64)))) (/.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 (/.f64 y z) (pow.f64 z #s(literal -1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 (/.f64 y z) (pow.f64 z #s(literal -1 binary64)))))) (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal -2 binary64)) (*.f64 (/.f64 y z) (pow.f64 z #s(literal -1 binary64))))))) |
(-.f64 (/.f64 (*.f64 y z) (*.f64 z z)) (/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z z))) |
(-.f64 (/.f64 (*.f64 y y) (*.f64 z (+.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (fma.f64 y y (+.f64 y #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) z) (/.f64 (pow.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) z)) |
(-.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 z)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(-.f64 (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 z)) (/.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (neg.f64 z))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) z) (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (-.f64 #s(literal 1 binary64) y) z)) |
(-.f64 (/.f64 y z) (pow.f64 z #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (-.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 y z) (/.f64 #s(literal -1 binary64) z)) |
Compiled 23 688 to 3 727 computations (84.3% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 489 | 7 | 1 496 |
| Fresh | 4 | 4 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 496 | 16 | 1 512 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.9% | (/.f64 (fma.f64 (-.f64 z x) y x) z) |
| ✓ | 68.4% | (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) |
| ✓ | 31.1% | (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) |
| ✓ | 59.2% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
| 29.6% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) | |
| 65.9% | #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (/.f64 y z) (neg.f64 x) y)) | |
| 61.6% | #s(approx (/ (+ (* (- z x) y) x) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) | |
| ▶ | 72.8% | #s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) |
| 67.7% | #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) #s(approx (/ (- y 1) z) (/.f64 #s(literal -1 binary64) z))) x)) | |
| 30.4% | #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 y x)) x)) | |
| ▶ | 38.6% | #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) |
| ▶ | 36.3% | #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) |
| 30.8% | #s(approx (/ (+ (* (- z x) y) x) z) #s(approx (* (- 1 y) (/ x z)) (*.f64 (neg.f64 x) (/.f64 y z)))) | |
| ▶ | 76.1% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
| ✓ | 38.7% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| ▶ | 97.1% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) |
Compiled 222 to 210 computations (5.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) y) | |
| cost-diff | 0 | (-.f64 y (*.f64 (/.f64 x z) y)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) | |
| cost-diff | 0 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))) |
| 4 736× | lower-fma.f32 |
| 4 732× | lower-fma.f64 |
| 2 080× | lower-*.f32 |
| 2 074× | lower-*.f64 |
| 1 440× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 248 |
| 0 | 54 | 240 |
| 1 | 95 | 240 |
| 2 | 160 | 240 |
| 3 | 275 | 240 |
| 4 | 583 | 240 |
| 5 | 1185 | 240 |
| 6 | 2385 | 240 |
| 7 | 3627 | 235 |
| 8 | 4130 | 235 |
| 9 | 4405 | 234 |
| 10 | 4637 | 234 |
| 11 | 4895 | 234 |
| 12 | 5263 | 234 |
| 13 | 6117 | 234 |
| 14 | 7070 | 234 |
| 15 | 7415 | 234 |
| 16 | 7492 | 234 |
| 17 | 7500 | 234 |
| 18 | 7500 | 234 |
| 0 | 8026 | 233 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
y |
z |
x |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) |
(*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x) |
#s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
(fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) |
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
x |
y |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
(/.f64 x z) |
x |
z |
#s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) |
(-.f64 y (*.f64 (/.f64 x z) y)) |
y |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (fma.f64 (-.f64 z x) y x) z)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
(/.f64 z (fma.f64 (-.f64 z x) y x)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
y |
z |
x |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) |
(*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x) |
#s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
(fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) |
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
z |
x |
y |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) |
(*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
(/.f64 x z) |
x |
z |
#s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) |
(-.f64 y (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 (-.f64 z x) z) y) |
y |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
x |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0.0078125 | (-.f64 y (*.f64 (/.f64 x z) y)) | |
| accuracy | 5.701308637149987 | (*.f64 (/.f64 x z) y) | |
| accuracy | 20.162566091095613 | #s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 2.393498044067226 | (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) | |
| accuracy | 24.518800375071056 | #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) | |
| accuracy | 30.461892130324962 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0 | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) | |
| accuracy | 1.7621363323286392 | (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) | |
| accuracy | 32.199616666140926 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) z) | |
| accuracy | 0 | #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) | |
| accuracy | 6.6283090646736715 | (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x) | |
| accuracy | 42.44252619450366 | #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| accuracy | 0.14453125 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))) | |
| accuracy | 0.19641077718165828 | (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) | |
| accuracy | 1.7621363323286392 | (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
| 52.0ms | 256× | 0 | valid |
Compiled 175 to 30 computations (82.9% saved)
ival-div: 14.0ms (39.5% of total)ival-mult: 10.0ms (28.2% of total)ival-sub: 6.0ms (16.9% of total)ival-add: 3.0ms (8.5% of total)ival-neg: 2.0ms (5.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x) (patch (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) (patch #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) #<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 (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) (patch (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) (patch (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) (patch #s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) #<representation binary64>) () ()) |
#s(alt (-.f64 y (*.f64 (/.f64 x z) y)) (patch (-.f64 y (*.f64 (/.f64 x z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) z) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* x (- 1 y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (* y z) (* (pow x 2) (pow (- 1 y) 2)))) (/ 1 (* x (- 1 y))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* z (- (/ (* (pow y 2) z) (* (pow x 3) (pow (- 1 y) 3))) (/ y (* (pow x 2) (pow (- 1 y) 2))))) (/ 1 (* x (- 1 y))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* z (- (* z (- (* -1 (/ (* (pow y 3) z) (* (pow x 4) (pow (- 1 y) 4)))) (* -1 (/ (pow y 2) (* (pow x 3) (pow (- 1 y) 3)))))) (/ y (* (pow x 2) (pow (- 1 y) 2))))) (/ 1 (* x (- 1 y))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) (patch #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x) (patch (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x) (patch (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x) (patch (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x) (patch (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 y) z) (taylor 0 z) (#s(alt #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) (patch #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ (* y z) x)) y) z) (taylor 0 z) (#s(alt #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) (patch #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ (* y z) x)) y) z) (taylor 0 z) (#s(alt #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) (patch #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 (/ (* y z) x)) y) z) (taylor 0 z) (#s(alt #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) (patch #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) z) (patch (/.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) (patch (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) (patch (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) (patch (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) (patch (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 y) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 y) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 y) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) #<representation binary64>) () ())) ()) |
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#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | z | @ | 0 | ((/ 1 (/ 1 (+ (* (/ (- 1 y) z) x) y))) (/ 1 (+ (* (/ (- 1 y) z) x) y)) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (+ (* (- z x) y) x) z) (* (- (/ y x) (/ (- y 1) z)) x) (- (/ y x) (/ (- y 1) z)) (/ 1 z) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ (* (- z x) y) x) z) (* (- 1 y) (/ x z)) (- 1 y) (neg y) (/ (+ (* (- z x) y) x) z) (- y (* (/ x z) y)) (* (/ x z) y) (/ x z) (/ (- 1 y) z)) |
| 5.0ms | x | @ | 0 | ((/ 1 (/ 1 (+ (* (/ (- 1 y) z) x) y))) (/ 1 (+ (* (/ (- 1 y) z) x) y)) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (+ (* (- z x) y) x) z) (* (- (/ y x) (/ (- y 1) z)) x) (- (/ y x) (/ (- y 1) z)) (/ 1 z) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ (* (- z x) y) x) z) (* (- 1 y) (/ x z)) (- 1 y) (neg y) (/ (+ (* (- z x) y) x) z) (- y (* (/ x z) y)) (* (/ x z) y) (/ x z) (/ (- 1 y) z)) |
| 3.0ms | z | @ | -inf | ((/ 1 (/ 1 (+ (* (/ (- 1 y) z) x) y))) (/ 1 (+ (* (/ (- 1 y) z) x) y)) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (+ (* (- z x) y) x) z) (* (- (/ y x) (/ (- y 1) z)) x) (- (/ y x) (/ (- y 1) z)) (/ 1 z) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ (* (- z x) y) x) z) (* (- 1 y) (/ x z)) (- 1 y) (neg y) (/ (+ (* (- z x) y) x) z) (- y (* (/ x z) y)) (* (/ x z) y) (/ x z) (/ (- 1 y) z)) |
| 3.0ms | x | @ | -inf | ((/ 1 (/ 1 (+ (* (/ (- 1 y) z) x) y))) (/ 1 (+ (* (/ (- 1 y) z) x) y)) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (+ (* (- z x) y) x) z) (* (- (/ y x) (/ (- y 1) z)) x) (- (/ y x) (/ (- y 1) z)) (/ 1 z) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ (* (- z x) y) x) z) (* (- 1 y) (/ x z)) (- 1 y) (neg y) (/ (+ (* (- z x) y) x) z) (- y (* (/ x z) y)) (* (/ x z) y) (/ x z) (/ (- 1 y) z)) |
| 2.0ms | y | @ | -inf | ((/ 1 (/ 1 (+ (* (/ (- 1 y) z) x) y))) (/ 1 (+ (* (/ (- 1 y) z) x) y)) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (+ (* (- z x) y) x) z) (* (- (/ y x) (/ (- y 1) z)) x) (- (/ y x) (/ (- y 1) z)) (/ 1 z) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ (* (- z x) y) x) z) (* (- 1 y) (/ x z)) (- 1 y) (neg y) (/ (+ (* (- z x) y) x) z) (- y (* (/ x z) y)) (* (/ x z) y) (/ x z) (/ (- 1 y) z)) |
| 1× | egg-herbie |
| 7 598× | lower-fma.f64 |
| 7 598× | lower-fma.f32 |
| 6 698× | lower-*.f64 |
| 6 698× | lower-*.f32 |
| 2 780× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 383 | 5910 |
| 1 | 1190 | 5518 |
| 2 | 4175 | 5497 |
| 0 | 9377 | 5272 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (- 1 y)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ z (* x (- 1 y))) |
(* z (+ (* -1 (/ (* y z) (* (pow x 2) (pow (- 1 y) 2)))) (/ 1 (* x (- 1 y))))) |
(* z (+ (* z (- (/ (* (pow y 2) z) (* (pow x 3) (pow (- 1 y) 3))) (/ y (* (pow x 2) (pow (- 1 y) 2))))) (/ 1 (* x (- 1 y))))) |
(* z (+ (* z (- (* z (- (* -1 (/ (* (pow y 3) z) (* (pow x 4) (pow (- 1 y) 4)))) (* -1 (/ (pow y 2) (* (pow x 3) (pow (- 1 y) 3)))))) (/ y (* (pow x 2) (pow (- 1 y) 2))))) (/ 1 (* x (- 1 y))))) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (* x (- 1 y)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (* x (- 1 y)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (- 1 y) z) |
(/ (- (+ 1 (/ (* y z) x)) y) z) |
(/ (- (+ 1 (/ (* y z) x)) y) z) |
(/ (- (+ 1 (/ (* y z) x)) y) z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (* x (- 1 y)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(* -1 (/ (* x y) z)) |
(/ (- (* y z) (* x y)) z) |
(/ (- (* y z) (* x y)) z) |
(/ (- (* y z) (* x y)) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* x (- 1 y)) z)) |
(/ 1 y) |
(+ (* -1 (/ (* x (- 1 y)) (* (pow y 2) z))) (/ 1 y)) |
(- (+ (/ 1 y) (/ (* (pow x 2) (pow (- 1 y) 2)) (* (pow y 3) (pow z 2)))) (/ (* x (- 1 y)) (* (pow y 2) z))) |
(- (+ (* -1 (/ (* (pow x 3) (pow (- 1 y) 3)) (* (pow y 4) (pow z 3)))) (/ 1 y)) (+ (* -1 (/ (* (pow x 2) (pow (- 1 y) 2)) (* (pow y 3) (pow z 2)))) (/ (* x (- 1 y)) (* (pow y 2) z)))) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* x (- 1 y)) z)) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* x (- 1 y)) z)) |
(/ y x) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* x (- 1 y)) z)) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
y |
(+ y (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* x (- 1 y)) z)) |
(/ 1 y) |
(+ (* -1 (/ (* x (- 1 y)) (* (pow y 2) z))) (/ 1 y)) |
(+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow (- 1 y) 2)) (* (pow y 3) z))) (* -1 (/ (* x (- 1 y)) (pow y 2)))) z)) (/ 1 y)) |
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow x 3) (pow (- 1 y) 3)) (* (pow y 4) z))) (* -1 (/ (* (pow x 2) (pow (- 1 y) 2)) (pow y 3)))) z)) (* -1 (/ (* x (- 1 y)) (pow y 2)))) z)) (/ 1 y)) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* x (- 1 y)) z)) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
y |
(+ y (* -1 (/ (* x (- y 1)) z))) |
(+ y (* -1 (/ (* x (- y 1)) z))) |
(+ y (* -1 (/ (* x (- y 1)) z))) |
(/ y x) |
(+ (* -1 (/ (- y 1) z)) (/ y x)) |
(+ (* -1 (/ (- y 1) z)) (/ y x)) |
(+ (* -1 (/ (- y 1) z)) (/ y x)) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
(/ 1 z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* x (- 1 y)) z)) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
y |
(+ y (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ x z) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(/ z x) |
(+ (* -1 (/ (* y (* (pow z 2) (+ 1 (* -1 (/ x z))))) (pow x 2))) (/ z x)) |
(+ (* y (- (/ (* y (* (pow z 3) (pow (+ 1 (* -1 (/ x z))) 2))) (pow x 3)) (/ (* (pow z 2) (+ 1 (* -1 (/ x z)))) (pow x 2)))) (/ z x)) |
(+ (* y (- (* y (- (* -1 (/ (* y (* (pow z 4) (pow (+ 1 (* -1 (/ x z))) 3))) (pow x 4))) (* -1 (/ (* (pow z 3) (pow (+ 1 (* -1 (/ x z))) 2)) (pow x 3))))) (/ (* (pow z 2) (+ 1 (* -1 (/ x z)))) (pow x 2)))) (/ z x)) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(/ x z) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(/ x z) |
(+ (* x (* y (- (/ 1 x) (/ 1 z)))) (/ x z)) |
(+ (* x (* y (- (/ 1 x) (/ 1 z)))) (/ x z)) |
(+ (* x (* y (- (/ 1 x) (/ 1 z)))) (/ x z)) |
(/ 1 z) |
(+ (* y (- (/ 1 x) (/ 1 z))) (/ 1 z)) |
(+ (* y (- (/ 1 x) (/ 1 z))) (/ 1 z)) |
(+ (* y (- (/ 1 x) (/ 1 z))) (/ 1 z)) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(/ x z) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(/ 1 z) |
(+ (* -1 (/ y z)) (/ 1 z)) |
(+ (* -1 (/ y z)) (/ 1 z)) |
(+ (* -1 (/ y z)) (/ 1 z)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(/ x z) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(* y (- 1 (/ x z))) |
(* y (- 1 (/ x z))) |
(* y (- 1 (/ x z))) |
(* y (- 1 (/ x z))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ 1 z) |
(+ (* -1 (/ y z)) (/ 1 z)) |
(+ (* -1 (/ y z)) (/ 1 z)) |
(+ (* -1 (/ y z)) (/ 1 z)) |
(* y (+ 1 (* -1 (/ x z)))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(/ 1 (* y (+ 1 (* -1 (/ x z))))) |
(/ (+ (* -1 (/ x (* y (* z (pow (+ 1 (* -1 (/ x z))) 2))))) (/ 1 (+ 1 (* -1 (/ x z))))) y) |
(/ (- (+ (/ 1 (+ 1 (* -1 (/ x z)))) (/ (pow x 2) (* (pow y 2) (* (pow z 2) (pow (+ 1 (* -1 (/ x z))) 3))))) (/ x (* y (* z (pow (+ 1 (* -1 (/ x z))) 2))))) y) |
(/ (- (+ (* -1 (/ (pow x 3) (* (pow y 3) (* (pow z 3) (pow (+ 1 (* -1 (/ x z))) 4))))) (/ 1 (+ 1 (* -1 (/ x z))))) (+ (* -1 (/ (pow x 2) (* (pow y 2) (* (pow z 2) (pow (+ 1 (* -1 (/ x z))) 3))))) (/ x (* y (* z (pow (+ 1 (* -1 (/ x z))) 2)))))) y) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (+ 1 (* -1 (/ x z)))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* x (* y (- (/ 1 x) (/ 1 z)))) |
(* y (+ (* x (- (/ 1 x) (/ 1 z))) (/ x (* y z)))) |
(* y (+ (* x (- (/ 1 x) (/ 1 z))) (/ x (* y z)))) |
(* y (+ (* x (- (/ 1 x) (/ 1 z))) (/ x (* y z)))) |
(* y (- (/ 1 x) (/ 1 z))) |
(* y (- (+ (/ 1 x) (/ 1 (* y z))) (/ 1 z))) |
(* y (- (+ (/ 1 x) (/ 1 (* y z))) (/ 1 z))) |
(* y (- (+ (/ 1 x) (/ 1 (* y z))) (/ 1 z))) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (+ 1 (* -1 (/ x z)))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* -1 (/ y z)) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* -1 (/ (* x y) z)) |
(* y (+ (* -1 (/ x z)) (/ x (* y z)))) |
(* y (+ (* -1 (/ x z)) (/ x (* y z)))) |
(* y (+ (* -1 (/ x z)) (/ x (* y z)))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- 1 (/ x z))) |
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(* y (- 1 (/ x z))) |
(* y (- 1 (/ x z))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (/ y z)) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* -1 (* y (- (/ x z) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(/ -1 (* y (- (/ x z) 1))) |
(* -1 (/ (+ (/ 1 (- (/ x z) 1)) (/ x (* y (* z (pow (- (/ x z) 1) 2))))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 2) (* y (* (pow z 2) (pow (- (/ x z) 1) 3))))) (/ x (* z (pow (- (/ x z) 1) 2)))) y)) (/ 1 (- (/ x z) 1))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) (* y (* (pow z 3) (pow (- (/ x z) 1) 4)))) (* -1 (/ (pow x 2) (* (pow z 2) (pow (- (/ x z) 1) 3))))) y)) (/ x (* z (pow (- (/ x z) 1) 2)))) y)) (/ 1 (- (/ x z) 1))) y)) |
(/ (* y (- z x)) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (- (/ x z) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(/ (* y (- z x)) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* x (* y (- (/ 1 x) (/ 1 z)))) |
(* -1 (* y (+ (* -1 (* x (- (/ 1 x) (/ 1 z)))) (* -1 (/ x (* y z)))))) |
(* -1 (* y (+ (* -1 (* x (- (/ 1 x) (/ 1 z)))) (* -1 (/ x (* y z)))))) |
(* -1 (* y (+ (* -1 (* x (- (/ 1 x) (/ 1 z)))) (* -1 (/ x (* y z)))))) |
(* -1 (* y (- (/ 1 z) (/ 1 x)))) |
(* -1 (* y (- (/ 1 z) (+ (/ 1 x) (/ 1 (* y z)))))) |
(* -1 (* y (- (/ 1 z) (+ (/ 1 x) (/ 1 (* y z)))))) |
(* -1 (* y (- (/ 1 z) (+ (/ 1 x) (/ 1 (* y z)))))) |
(/ (* y (- z x)) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (- (/ x z) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (/ y z)) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(/ (* y (- z x)) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (/ (* x y) z)) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* y (- z x)) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* y (+ 1 (* -1 (/ x z)))) |
(* y (+ 1 (* -1 (/ x z)))) |
(* y (+ 1 (* -1 (/ x z)))) |
(* y (+ 1 (* -1 (/ x z)))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(* -1 (/ y z)) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
y |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(/ 1 y) |
(+ (* x (- (/ 1 (* y z)) (/ 1 (* (pow y 2) z)))) (/ 1 y)) |
(+ (* x (- (+ (* -1 (/ (* x (* (- (/ 1 z) (/ y z)) (- (/ 1 (* y z)) (/ 1 (* (pow y 2) z))))) y)) (/ 1 (* y z))) (/ 1 (* (pow y 2) z)))) (/ 1 y)) |
(+ (* x (- (+ (* x (- (/ (* x (* (pow (- (/ 1 z) (/ y z)) 2) (- (/ 1 (* y z)) (/ 1 (* (pow y 2) z))))) (pow y 2)) (/ (* (- (/ 1 z) (/ y z)) (- (/ 1 (* y z)) (/ 1 (* (pow y 2) z)))) y))) (/ 1 (* y z))) (/ 1 (* (pow y 2) z)))) (/ 1 y)) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
y |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
y |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(/ y x) |
(/ (+ y (* x (- (/ 1 z) (/ y z)))) x) |
(/ (+ y (* x (- (/ 1 z) (/ y z)))) x) |
(/ (+ y (* x (- (/ 1 z) (/ y z)))) x) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
y |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
y |
(+ y (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* x (- (/ 1 z) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(/ 1 (* x (- (/ 1 z) (/ y z)))) |
(/ (+ (* -1 (/ y (* x (pow (- (/ 1 z) (/ y z)) 2)))) (/ 1 (- (/ 1 z) (/ y z)))) x) |
(/ (- (+ (/ 1 (- (/ 1 z) (/ y z))) (/ (pow y 2) (* (pow x 2) (pow (- (/ 1 z) (/ y z)) 3)))) (/ y (* x (pow (- (/ 1 z) (/ y z)) 2)))) x) |
(/ (- (+ (* -1 (/ (pow y 3) (* (pow x 3) (pow (- (/ 1 z) (/ y z)) 4)))) (/ 1 (- (/ 1 z) (/ y z)))) (+ (* -1 (/ (pow y 2) (* (pow x 2) (pow (- (/ 1 z) (/ y z)) 3)))) (/ y (* x (pow (- (/ 1 z) (/ y z)) 2))))) x) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (- (/ 1 z) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (- (/ 1 z) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(- (/ 1 z) (/ y z)) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (- (/ 1 z) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* -1 (/ (* x y) z)) |
(* x (- (/ y x) (/ y z))) |
(* x (- (/ y x) (/ y z))) |
(* x (- (/ y x) (/ y z))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (- 1 y)) z) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(/ z (* x (- 1 y))) |
(* -1 (/ (+ (* -1 (/ z (- 1 y))) (/ (* y (pow z 2)) (* x (pow (- 1 y) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ z (- 1 y))) (* -1 (/ (- (/ (* (pow y 2) (pow z 3)) (* x (pow (- 1 y) 3))) (/ (* y (pow z 2)) (pow (- 1 y) 2))) x))) x)) |
(* -1 (/ (+ (* -1 (/ z (- 1 y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 4)) (* x (pow (- 1 y) 4))) (/ (* (pow y 2) (pow z 3)) (pow (- 1 y) 3))) x)) (/ (* y (pow z 2)) (pow (- 1 y) 2))) x))) x)) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(/ (* x (- 1 y)) z) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* x (- (/ 1 z) (/ y z))) |
(* -1 (* x (+ (* -1 (- (/ 1 z) (/ y z))) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 (- (/ 1 z) (/ y z))) (* -1 (/ y x))))) |
(* -1 (* x (+ (* -1 (- (/ 1 z) (/ y z))) (* -1 (/ y x))))) |
(- (/ 1 z) (/ y z)) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(/ (* x (- 1 y)) z) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (/ (* x y) z)) |
(* -1 (* x (- (* -1 (/ y x)) (* -1 (/ y z))))) |
(* -1 (* x (- (* -1 (/ y x)) (* -1 (/ y z))))) |
(* -1 (* x (- (* -1 (/ y x)) (* -1 (/ y z))))) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ (* x y) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
| Outputs |
|---|
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ z (* x (- 1 y))) |
(/.f64 (/.f64 z (-.f64 #s(literal 1 binary64) y)) x) |
(* z (+ (* -1 (/ (* y z) (* (pow x 2) (pow (- 1 y) 2)))) (/ 1 (* x (- 1 y))))) |
(fma.f64 (neg.f64 z) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 z (*.f64 x x))) (/.f64 (/.f64 z (-.f64 #s(literal 1 binary64) y)) x)) |
(* z (+ (* z (- (/ (* (pow y 2) z) (* (pow x 3) (pow (- 1 y) 3))) (/ y (* (pow x 2) (pow (- 1 y) 2))))) (/ 1 (* x (- 1 y))))) |
(fma.f64 (*.f64 z z) (fma.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 y y) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (/.f64 (/.f64 y (*.f64 (neg.f64 x) x)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (/.f64 (/.f64 z (-.f64 #s(literal 1 binary64) y)) x)) |
(* z (+ (* z (- (* z (- (* -1 (/ (* (pow y 3) z) (* (pow x 4) (pow (- 1 y) 4)))) (* -1 (/ (pow y 2) (* (pow x 3) (pow (- 1 y) 3)))))) (/ y (* (pow x 2) (pow (- 1 y) 2))))) (/ 1 (* x (- 1 y))))) |
(fma.f64 (*.f64 z z) (fma.f64 (fma.f64 (neg.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (/.f64 y (pow.f64 x #s(literal 3 binary64))))) z (/.f64 (/.f64 y (*.f64 (neg.f64 x) x)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (/.f64 (/.f64 z (-.f64 #s(literal 1 binary64) y)) x)) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- (+ 1 (/ (* y z) x)) y) z) |
(/.f64 (fma.f64 (/.f64 z x) y (-.f64 #s(literal 1 binary64) y)) z) |
(/ (- (+ 1 (/ (* y z) x)) y) z) |
(/.f64 (fma.f64 (/.f64 z x) y (-.f64 #s(literal 1 binary64) y)) z) |
(/ (- (+ 1 (/ (* y z) x)) y) z) |
(/.f64 (fma.f64 (/.f64 z x) y (-.f64 #s(literal 1 binary64) y)) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ 1 z) |
(/.f64 #s(literal 1 binary64) z) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(/ (- (* y z) (* x y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) |
(/ (- (* y z) (* x y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) |
(/ (- (* y z) (* x y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x z)) y) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ (* x (- 1 y)) (* (pow y 2) z))) (/ 1 y)) |
(fma.f64 (/.f64 x (*.f64 y y)) (/.f64 (-.f64 y #s(literal 1 binary64)) z) (/.f64 #s(literal 1 binary64) y)) |
(- (+ (/ 1 y) (/ (* (pow x 2) (pow (- 1 y) 2)) (* (pow y 3) (pow z 2)))) (/ (* x (- 1 y)) (* (pow y 2) z))) |
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(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 z) z) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) x) (*.f64 y y))) x) (/.f64 z (-.f64 #s(literal 1 binary64) y))) x) |
(* -1 (/ (+ (* -1 (/ z (- 1 y))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 4)) (* x (pow (- 1 y) 4))) (/ (* (pow y 2) (pow z 3)) (pow (- 1 y) 3))) x)) (/ (* y (pow z 2)) (pow (- 1 y) 2))) x))) x)) |
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 z (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) y (/.f64 (fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) x))) x))) x) (/.f64 z (-.f64 #s(literal 1 binary64) y))) x) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* x (- (/ 1 z) (/ y z))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* x (+ (* -1 (- (/ 1 z) (/ y z))) (* -1 (/ y x))))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (+ (* -1 (- (/ 1 z) (/ y z))) (* -1 (/ y x))))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (+ (* -1 (- (/ 1 z) (/ y z))) (* -1 (/ y x))))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(- (/ 1 z) (/ y z)) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(- (+ (/ 1 z) (/ y x)) (/ y z)) |
(-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(* -1 (* x (- (* -1 (/ y x)) (* -1 (/ y z))))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 y z)) x) |
(* -1 (* x (- (* -1 (/ y x)) (* -1 (/ y z))))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 y z)) x) |
(* -1 (* x (- (* -1 (/ y x)) (* -1 (/ y z))))) |
(*.f64 (-.f64 (/.f64 y x) (/.f64 y z)) x) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
| 5 192× | lower-*.f32 |
| 5 186× | lower-*.f64 |
| 4 648× | lower-/.f32 |
| 4 636× | lower-/.f64 |
| 2 418× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 225 |
| 0 | 54 | 217 |
| 1 | 252 | 217 |
| 2 | 2042 | 217 |
| 0 | 8460 | 212 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) |
(*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x) |
#s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
(fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) |
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z)) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) |
(-.f64 y (*.f64 (/.f64 x z) y)) |
(*.f64 (/.f64 x z) y) |
(/.f64 x z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) (neg.f64 y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (-.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) (neg.f64 y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 y (-.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) (neg.f64 y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) (neg.f64 y)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (-.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) (neg.f64 y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) (neg.f64 y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) (neg.f64 y)) (*.f64 y y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) (neg.f64 y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) (neg.f64 y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) (neg.f64 y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64))) (-.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) (neg.f64 y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) (neg.f64 y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) (*.f64 x y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)) (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) (neg.f64 y)))) |
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) z) |
(/.f64 (-.f64 (pow.f64 z #s(literal -2 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y z))) |
(/.f64 (-.f64 (pow.f64 z #s(literal -3 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (*.f64 z (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 z (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (neg.f64 z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) z)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (neg.f64 z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) z)) |
(/.f64 (-.f64 (neg.f64 z) (*.f64 (neg.f64 z) y)) (*.f64 (neg.f64 z) z)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 z y)) (*.f64 z z)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 z (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 z (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 (neg.f64 z))) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (neg.f64 z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 z (-.f64 y #s(literal 1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 #s(literal -1 binary64) (/.f64 z (-.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 y #s(literal 1 binary64)) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z (-.f64 y #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) y))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) z)) |
(neg.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)) (neg.f64 (/.f64 y z))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z) (neg.f64 (/.f64 y z))) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (/.f64 y z))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)) (neg.f64 (/.f64 y z))) |
(-.f64 (/.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y z))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y z)))) |
(-.f64 (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y z))))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (pow.f64 z #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y z)))))) |
(-.f64 (/.f64 (neg.f64 z) (*.f64 (neg.f64 z) z)) (/.f64 (*.f64 (neg.f64 z) y) (*.f64 (neg.f64 z) z))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 z z)) (/.f64 (*.f64 z y) (*.f64 z z))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (neg.f64 z))) (/.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (neg.f64 (neg.f64 z)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (neg.f64 z))) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (neg.f64 (neg.f64 z)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) z) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) z)) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) (neg.f64 z)) (/.f64 (pow.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 y y) (*.f64 z (+.f64 y #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (neg.f64 z)) (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(-.f64 (/.f64 y (neg.f64 z)) (/.f64 #s(literal -1 binary64) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 z))) (/.f64 (-.f64 y #s(literal 1 binary64)) (neg.f64 (neg.f64 z)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) z) (/.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) |
(-.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (neg.f64 (neg.f64 z)))) |
(-.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z (-.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 (/.f64 y z))) |
Compiled 16 476 to 2 288 computations (86.1% saved)
16 alts after pruning (8 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 082 | 5 | 1 087 |
| Fresh | 3 | 3 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 087 | 16 | 1 103 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 87.9% | (/.f64 (fma.f64 (-.f64 z x) y x) z) |
| ✓ | 68.4% | (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) |
| ✓ | 31.1% | (/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) |
| ✓ | 59.2% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
| 29.6% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) | |
| 72.8% | #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (/.f64 (neg.f64 x) z) y y)) | |
| 36.4% | #s(approx (/ (+ (* (- z x) y) x) z) (/.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 z x))) | |
| ✓ | 72.8% | #s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) |
| 67.7% | #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) #s(approx (/ (- y 1) z) (/.f64 #s(literal -1 binary64) z))) x)) | |
| 30.4% | #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 y x)) x)) | |
| ✓ | 38.6% | #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) |
| ✓ | 36.3% | #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) |
| 30.8% | #s(approx (/ (+ (* (- z x) y) x) z) #s(approx (- y (* (/ x z) y)) (*.f64 (neg.f64 x) (/.f64 y z)))) | |
| 76.2% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) | |
| ✓ | 38.7% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| 60.4% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (/ (- 1 y) z) x) y)) (/.f64 (/.f64 z (-.f64 #s(literal 1 binary64) y)) x)))) |
Compiled 497 to 252 computations (49.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 y x)) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
#s(approx (/ (+ (* (- z x) y) x) z) #s(approx (* (- 1 y) (/ x z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (+ (* (- z x) y) x) z) #s(approx (- y (* (/ x z) y)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) |
#s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) |
#s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (/.f64 y z) (neg.f64 x) y)) |
#s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (/.f64 (neg.f64 x) z) y y)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) |
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 (-.f64 z x) y)) z) |
(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
#s(approx (/ (+ (* (- z x) y) x) z) (/.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 z x))) |
#s(approx (/ (+ (* (- z x) y) x) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) #s(approx (/ (- y 1) z) (/.f64 #s(literal -1 binary64) z))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y x))) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 (/.f64 y x) (/.f64 (-.f64 y #s(literal 1 binary64)) z)) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (/ (- 1 y) z) x) y)) (/.f64 (/.f64 z (-.f64 #s(literal 1 binary64) y)) x)))) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) |
(/.f64 (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x) z) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
(*.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) z) (/.f64 (fma.f64 (-.f64 z x) y x) (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal -1 binary64)) (neg.f64 z))) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) x y)) |
| Outputs |
|---|
#s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
4 calls:
| 16.0ms | z |
| 14.0ms | x |
| 11.0ms | y |
| 10.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 1 | x |
| 99.1% | 2 | y |
| 97.2% | 1 | z |
| 97.2% | 1 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
Compiled 12 to 16 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 y x)) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
#s(approx (/ (+ (* (- z x) y) x) z) #s(approx (* (- 1 y) (/ x z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (+ (* (- z x) y) x) z) #s(approx (- y (* (/ x z) y)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) |
#s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) |
#s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (/.f64 y z) (neg.f64 x) y)) |
#s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (/.f64 (neg.f64 x) z) y y)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) |
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 (-.f64 z x) y)) z) |
(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) |
| Outputs |
|---|
#s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (/.f64 (neg.f64 x) z) y y)) |
4 calls:
| 10.0ms | y |
| 9.0ms | z |
| 7.0ms | x |
| 6.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.1% | 3 | x |
| 86.5% | 3 | z |
| 91.7% | 3 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 98.8% | 3 | y |
Compiled 12 to 16 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 y x)) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
#s(approx (/ (+ (* (- z x) y) x) z) #s(approx (* (- 1 y) (/ x z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (+ (* (- z x) y) x) z) #s(approx (- y (* (/ x z) y)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) |
#s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) |
#s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (/.f64 y z) (neg.f64 x) y)) |
| Outputs |
|---|
#s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) |
1 calls:
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 y x)) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
#s(approx (/ (+ (* (- z x) y) x) z) #s(approx (* (- 1 y) (/ x z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (+ (* (- z x) y) x) z) #s(approx (- y (* (/ x z) y)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) |
3 calls:
| 5.0ms | x |
| 4.0ms | y |
| 4.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.1% | 3 | x |
| 84.4% | 3 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 81.2% | 3 | y |
Compiled 11 to 13 computations (-18.2% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 y x)) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
#s(approx (/ (+ (* (- z x) y) x) z) #s(approx (* (- 1 y) (/ x z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (+ (* (- z x) y) x) z) #s(approx (- y (* (/ x z) y)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.1% | 3 | x |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 y x)) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
#s(approx (/ (+ (* (- z x) y) x) z) #s(approx (* (- 1 y) (/ x z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (+ (* (- z x) y) x) z) #s(approx (- y (* (/ x z) y)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z))) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) z) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ (* (- z x) y) x) z) #s(approx (* (- 1 y) (/ x z)) (*.f64 (neg.f64 x) (/.f64 y z)))) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
4 calls:
| 5.0ms | z |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.2% | 3 | y |
| 79.6% | 3 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 80.5% | 3 | z |
| 78.2% | 2 | x |
Compiled 12 to 16 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 y x)) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
4 calls:
| 64.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.2% | 1 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 76.2% | 1 | x |
| 76.2% | 1 | z |
| 76.2% | 1 | y |
Compiled 12 to 16 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 y x)) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
(/.f64 #s(approx (+ (* (- z x) y) x) (*.f64 z y)) z) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 y x)) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
4 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.1% | 4 | x |
| 48.9% | 2 | y |
| 52.8% | 3 | z |
| 45.7% | 3 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
Compiled 12 to 16 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 y x)) x)) |
| Outputs |
|---|
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 y x)) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 y x)) x)) |
2 calls:
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.5% | 3 | z |
| 52.5% | 3 | x |
Compiled 2 to 6 computations (-200% saved)
Total -0.1b remaining (-0.1%)
Threshold costs -0.1b (-0.1%)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 #s(literal 1 binary64) z)) x)) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
4 calls:
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.7% | 1 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 38.7% | 1 | y |
| 38.7% | 1 | x |
| 38.7% | 1 | z |
Compiled 12 to 16 computations (-33.3% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -3.1142591893050605e+35 | -4.4793750364816075e+32 |
| 1.0ms | 16× | 0 | valid |
Compiled 29 to 30 computations (-3.4% 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)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 0.02412341854813123 | 1338929821.5770924 |
| 29.0ms | -79.37575831786933 | -3.93323966190107e-6 |
| 14.0ms | 304× | 0 | valid |
Compiled 316 to 336 computations (-6.3% saved)
ival-sub: 2.0ms (26.9% of total)ival-div: 2.0ms (26.9% of total)ival-mult: 2.0ms (26.9% of total)ival-add: 1.0ms (13.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.02412341854813123 | 1338929821.5770924 |
| 1.0ms | -79.37575831786933 | -3.93323966190107e-6 |
Compiled 316 to 336 computations (-6.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 5.712988258026844e+37 | 3.9305579248694353e+40 |
| 8.0ms | -1.1528114631939682e+39 | -2.22521416703518e+38 |
| 10.0ms | 224× | 0 | valid |
Compiled 236 to 265 computations (-12.3% saved)
ival-sub: 1.0ms (19% of total)ival-div: 1.0ms (19% of total)ival-add: 1.0ms (19% of total)ival-mult: 1.0ms (19% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.712988258026844e+37 | 3.9305579248694353e+40 |
| 1.0ms | -1.1528114631939682e+39 | -2.22521416703518e+38 |
Compiled 236 to 265 computations (-12.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 4.007245019358731e+164 | 1.0274899113231763e+170 |
| 11.0ms | 1.767150603928608e+76 | 6.235333512192695e+78 |
| 12.0ms | 272× | 0 | valid |
Compiled 284 to 319 computations (-12.3% saved)
ival-div: 2.0ms (31.2% of total)ival-mult: 2.0ms (31.2% of total)ival-sub: 1.0ms (15.6% of total)ival-add: 1.0ms (15.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.722653331012771e+41 | 1.0789533687997832e+48 |
| 9.0ms | -4.535315709648787e-213 | -2.858329947442169e-215 |
| 26.0ms | -106311168.85869205 | -18.281479025219692 |
| 33.0ms | 400× | 0 | valid |
Compiled 292 to 361 computations (-23.6% saved)
ival-sub: 17.0ms (70.7% of total)ival-div: 3.0ms (12.5% of total)ival-mult: 3.0ms (12.5% of total)ival-add: 2.0ms (8.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 43.0ms | 7.535902179568024e+131 | 5.649408689423566e+142 |
| 12.0ms | -1.1530276867785091e+85 | -6.4722661348722e+76 |
| 44.0ms | 304× | 0 | valid |
Compiled 221 to 279 computations (-26.2% saved)
ival-mult: 32.0ms (86.3% of total)ival-sub: 2.0ms (5.4% of total)ival-div: 2.0ms (5.4% of total)ival-add: 1.0ms (2.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 28× | *-commutative-binary64-*.f64 |
| 18× | +-commutative-binary64-+.f64 |
| 18× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 14× | neg-sub0-binary64--.f64-neg.f64 |
| 14× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 539 |
| 1 | 112 | 539 |
| 2 | 134 | 539 |
| 3 | 151 | 539 |
| 4 | 159 | 539 |
| 5 | 161 | 539 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal -199999999999999993726732215835951104 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (/.f64 (neg.f64 x) z) y y)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))))) |
(if (<=.f64 x #s(literal -420000000000000001878680817402491437056 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (if (<=.f64 x #s(literal 519999999999999980738024709379944611840 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))))) |
(if (<=.f64 x #s(literal -420000000000000001878680817402491437056 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (if (<=.f64 x #s(literal 519999999999999980738024709379944611840 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)))) |
(if (<=.f64 y #s(literal 719999999999999956750270712620404878178110868990592493962323384938617871794176 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) (if (<=.f64 y #s(literal 2550000000000000183561091238219450347467684430547014150970500851118407997486140508589512196262389270725694048496518539198032633199747913214639423526047800512760250368 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) #s(approx (* (- 1 y) (/ x z)) (*.f64 (neg.f64 x) (/.f64 y z)))) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)))) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
(if (<=.f64 x #s(literal -11200 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (if (<=.f64 x #s(literal -7277428557659573/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 y x)) x)) (if (<=.f64 x #s(literal 275000000000000016212133609237690475085824 binary64)) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))))) |
(if (<=.f64 z #s(literal -2399999999999999855834235708734682927260369563301974979874411283128726239313920 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 y x)) x)) (if (<=.f64 z #s(literal 860000000000000026787193418857839551576038899111317172776489872814788538226913882869132082145971088562412242029939549053323569004544 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 y x)) x)))) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -199999999999999993726732215835951104 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #s(approx (/ (+ (* (- z x) y) x) z) (fma.f64 (/.f64 (neg.f64 x) z) y y)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #s(approx (/ (+ (* (- z x) y) x) z) (-.f64 y (*.f64 (/.f64 x z) y))))) |
(if (<=.f64 x #s(literal -420000000000000001878680817402491437056 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (if (<=.f64 x #s(literal 519999999999999980738024709379944611840 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))))) |
(if (<=.f64 x #s(literal -420000000000000001878680817402491437056 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (if (<=.f64 x #s(literal 519999999999999980738024709379944611840 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)))) |
(if (<=.f64 y #s(literal 719999999999999956750270712620404878178110868990592493962323384938617871794176 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) (if (<=.f64 y #s(literal 2550000000000000183561091238219450347467684430547014150970500851118407997486140508589512196262389270725694048496518539198032633199747913214639423526047800512760250368 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) #s(approx (* (- 1 y) (/ x z)) (*.f64 (neg.f64 x) (/.f64 y z)))) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)))) |
(if (<=.f64 y #s(literal 719999999999999956750270712620404878178110868990592493962323384938617871794176 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) (if (<=.f64 y #s(literal 2550000000000000183561091238219450347467684430547014150970500851118407997486140508589512196262389270725694048496518539198032633199747913214639423526047800512760250368 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) #s(approx (* (- 1 y) (/ x z)) (*.f64 (/.f64 (neg.f64 y) z) x))) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)))) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
(if (<=.f64 x #s(literal -11200 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (if (<=.f64 x #s(literal -7277428557659573/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 y x)) x)) (if (<=.f64 x #s(literal 275000000000000016212133609237690475085824 binary64)) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z))))) |
(if (<=.f64 z #s(literal -2399999999999999855834235708734682927260369563301974979874411283128726239313920 binary64)) #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 y x)) x)) (if (<=.f64 z #s(literal 860000000000000026787193418857839551576038899111317172776489872814788538226913882869132082145971088562412242029939549053323569004544 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #s(approx (/ (+ (* (- z x) y) x) z) (*.f64 #s(approx (- (/ y x) (/ (- y 1) z)) (/.f64 y x)) x)))) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| 11 172× | lower-fma.f64 |
| 11 172× | lower-fma.f32 |
| 8 994× | lower-fma.f64 |
| 8 994× | lower-fma.f32 |
| 7 428× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 0 | 11 | 24 |
| 1 | 46 | 24 |
| 2 | 352 | 24 |
| 3 | 4576 | 24 |
| 0 | 9115 | 22 |
| 0 | 106 | 1006 |
| 1 | 346 | 742 |
| 2 | 1046 | 742 |
| 3 | 3278 | 742 |
| 4 | 5788 | 742 |
| 5 | 7697 | 742 |
| 0 | 8095 | 688 |
| 0 | 38 | 225 |
| 0 | 54 | 217 |
| 1 | 252 | 217 |
| 2 | 2042 | 217 |
| 0 | 8460 | 212 |
| 0 | 306 | 4363 |
| 1 | 967 | 3938 |
| 2 | 2812 | 3836 |
| 3 | 7385 | 3834 |
| 0 | 8440 | 3609 |
| 0 | 199 | 4662 |
| 1 | 614 | 3761 |
| 2 | 1799 | 3755 |
| 3 | 5065 | 3755 |
| 0 | 8078 | 3504 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 605 to 370 computations (38.8% saved)
Compiled 544 to 186 computations (65.8% saved)
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