
Time bar (total: 7.7s)
| 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)
| 495.0ms | 8 256× | 0 | valid |
ival-mult: 97.0ms (34.1% of total)ival-sub: 80.0ms (28.1% of total)ival-div: 60.0ms (21.1% of total)ival-add: 38.0ms (13.4% of total)ival-true: 6.0ms (2.1% of total)ival-assert: 3.0ms (1.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 32 | 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 | 32 | 0 |
| ↳ | (+.f64 x (*.f64 y (-.f64 z x))) | overflow | 54 | |
| ↳ | (*.f64 y (-.f64 z x)) | overflow | 54 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 32 | 0 |
| - | 0 | 224 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 32 | 0 | 0 |
| - | 0 | 0 | 224 |
| number | freq |
|---|---|
| 0 | 224 |
| 1 | 32 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 28.0ms | 512× | 0 | valid |
Compiled 67 to 25 computations (62.7% saved)
ival-div: 4.0ms (30.7% of total)ival-sub: 3.0ms (23.1% of total)ival-mult: 3.0ms (23.1% of total)ival-add: 2.0ms (15.4% of total)ival-true: 1.0ms (7.7% 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 |
|---|---|---|
| ▶ | 88.2% | (/.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 | 0.0078125 | (+.f64 x (*.f64 y (-.f64 z x))) | |
| accuracy | 7.53492131780464 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 13.0ms | 256× | 0 | valid |
Compiled 29 to 9 computations (69% saved)
ival-div: 2.0ms (32.1% of total)ival-mult: 2.0ms (32.1% of total)ival-sub: 1.0ms (16% of total)ival-add: 1.0ms (16% 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 | |
|---|---|---|---|---|
| 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 | y | @ | -inf | ((+ x (* y (- z x))) (/ (+ x (* y (- z x))) z) (* y (- z x)) (- z x)) |
| 1.0ms | z | @ | 0 | ((+ 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)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 489 | 9 | 498 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 490 | 9 | 499 |
| Status | Accuracy | Program |
|---|---|---|
| 88.1% | (/.f64 (+.f64 x (/.f64 y (pow.f64 (-.f64 z x) #s(literal -1 binary64)))) z) | |
| ▶ | 69.6% | (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) |
| 59.1% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) | |
| 34.9% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) | |
| ▶ | 88.0% | (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y x))) |
| 88.0% | (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) | |
| ▶ | 96.2% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
| ▶ | 36.5% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| ▶ | 56.3% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
Compiled 150 to 134 computations (10.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 z x) | |
| cost-diff | 0 | (fma.f64 (-.f64 z x) y x) | |
| cost-diff | 0 | (/.f64 z (fma.f64 (-.f64 z x) y x)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y 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 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) | |
| 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)) |
| 25 368× | lower-fma.f32 |
| 25 364× | lower-fma.f64 |
| 2 704× | lower-*.f32 |
| 2 700× | lower-*.f64 |
| 2 520× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 162 |
| 0 | 37 | 157 |
| 1 | 56 | 157 |
| 2 | 83 | 157 |
| 3 | 164 | 157 |
| 4 | 368 | 157 |
| 5 | 745 | 157 |
| 6 | 1450 | 157 |
| 7 | 3543 | 157 |
| 8 | 5441 | 157 |
| 9 | 6536 | 157 |
| 10 | 6865 | 157 |
| 11 | 6943 | 157 |
| 12 | 7037 | 157 |
| 13 | 7059 | 157 |
| 14 | 7091 | 157 |
| 15 | 7191 | 157 |
| 16 | 7231 | 157 |
| 17 | 7231 | 157 |
| 0 | 8207 | 157 |
| 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 |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
z |
x |
(/.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 |
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y x))) |
#s(literal 1 binary64) |
(/.f64 z (fma.f64 (-.f64 z x) y x)) |
z |
(fma.f64 (-.f64 z x) y x) |
(-.f64 z x) |
x |
y |
| 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) (/.f64 (fma.f64 (-.f64 z x) y 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 #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 |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
z |
x |
(/.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 |
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y x))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
#s(literal 1 binary64) |
(/.f64 z (fma.f64 (-.f64 z x) y x)) |
z |
(fma.f64 (-.f64 z x) y x) |
(-.f64 z x) |
x |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 (-.f64 z x) y x) | |
| accuracy | 0 | (-.f64 z x) | |
| accuracy | 0.1796875 | (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y x))) | |
| accuracy | 7.584060271800165 | (/.f64 z (fma.f64 (-.f64 z x) y x)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.0078125 | (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) | |
| accuracy | 7.53492131780464 | (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) | |
| accuracy | 28.299657752557764 | #s(approx (* y (- z x)) (*.f64 z y)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| accuracy | 2.5170756023459107 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) | |
| accuracy | 26.98948364903458 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 40.631483130155715 | #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 | 2.4390861974858327 | (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
| 40.0ms | 256× | 0 | valid |
Compiled 135 to 20 computations (85.2% saved)
ival-div: 8.0ms (30.7% of total)ival-mult: 8.0ms (30.7% of total)ival-add: 6.0ms (23% of total)ival-sub: 3.0ms (11.5% 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 #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 #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #<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 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 z (fma.f64 (-.f64 z x) y x)) (patch (/.f64 z (fma.f64 (-.f64 z x) y x)) #<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>) () ()) |
| Outputs |
|---|
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#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 #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #<representation binary64>) () ())) ()) |
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#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>) () ())) ()) |
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#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 (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ z (+ x (* -1 (* x y)))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 (-.f64 z x) y x)) (patch (/.f64 z (fma.f64 (-.f64 z x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (* y z) (pow (+ x (* -1 (* x y))) 2))) (/ 1 (+ x (* -1 (* x y)))))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 (-.f64 z x) y x)) (patch (/.f64 z (fma.f64 (-.f64 z x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* z (- (/ (* (pow y 2) z) (pow (+ x (* -1 (* x y))) 3)) (/ y (pow (+ x (* -1 (* x y))) 2)))) (/ 1 (+ x (* -1 (* x y)))))) (taylor 0 z) (#s(alt (/.f64 z (fma.f64 (-.f64 z x) y x)) (patch (/.f64 z (fma.f64 (-.f64 z x) y x)) #<representation binary64>) () ())) ()) |
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#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>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 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) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* z y) (/ 1 (/ z (+ (* (- z x) y) x))) (/ z (+ (* (- z x) y) x)) (+ (* (- z x) y) x) (- z x)) |
| 4.0ms | y | @ | 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) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* z y) (/ 1 (/ z (+ (* (- z x) y) x))) (/ z (+ (* (- z x) y) x)) (+ (* (- z x) y) x) (- z x)) |
| 3.0ms | 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) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* z y) (/ 1 (/ z (+ (* (- z x) y) x))) (/ z (+ (* (- z x) y) x)) (+ (* (- z x) y) x) (- 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) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* z y) (/ 1 (/ z (+ (* (- z x) y) x))) (/ z (+ (* (- z x) y) x)) (+ (* (- z x) y) x) (- z x)) |
| 2.0ms | 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) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* z y) (/ 1 (/ z (+ (* (- z x) y) x))) (/ z (+ (* (- z x) y) x)) (+ (* (- z x) y) x) (- z x)) |
| 1× | egg-herbie |
| 6 502× | lower-fma.f64 |
| 6 502× | lower-fma.f32 |
| 5 788× | lower-*.f64 |
| 5 788× | lower-*.f32 |
| 2 694× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 386 | 4994 |
| 1 | 1258 | 4443 |
| 2 | 4455 | 4416 |
| 0 | 8278 | 4227 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
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(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(/ z (* x (+ 1 (* -1 y)))) |
(/ (+ (* -1 (/ (* y (pow z 2)) (* x (pow (+ 1 (* -1 y)) 2)))) (/ z (+ 1 (* -1 y)))) x) |
(/ (- (+ (/ z (+ 1 (* -1 y))) (/ (* (pow y 2) (pow z 3)) (* (pow x 2) (pow (+ 1 (* -1 y)) 3)))) (/ (* y (pow z 2)) (* x (pow (+ 1 (* -1 y)) 2)))) x) |
(/ (- (+ (* -1 (/ (* (pow y 3) (pow z 4)) (* (pow x 3) (pow (+ 1 (* -1 y)) 4)))) (/ z (+ 1 (* -1 y)))) (+ (* -1 (/ (* (pow y 2) (pow z 3)) (* (pow x 2) (pow (+ 1 (* -1 y)) 3)))) (/ (* y (pow z 2)) (* x (pow (+ 1 (* -1 y)) 2))))) 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)) |
(* -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)))) |
(/ (* 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 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 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ y (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ y (* -1 (/ (* y z) 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)))) |
(* -1 (/ z (* x (- y 1)))) |
(* -1 (/ (+ (/ z (- y 1)) (/ (* y (pow z 2)) (* x (pow (- y 1) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 3)) (* x (pow (- y 1) 3)))) (/ (* y (pow z 2)) (pow (- y 1) 2))) x)) (/ z (- y 1))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 4)) (* x (pow (- y 1) 4))) (* -1 (/ (* (pow y 2) (pow z 3)) (pow (- y 1) 3)))) x)) (/ (* y (pow z 2)) (pow (- y 1) 2))) x)) (/ z (- y 1))) 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) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
| Outputs |
|---|
(/ (+ x (* -1 (* x y))) z) |
(/.f64 (-.f64 x (*.f64 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)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (* x (- 1 y)) z) |
(/.f64 (-.f64 x (*.f64 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) |
(/ (+ (* 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 x (*.f64 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)) (* 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 x (*.f64 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)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (* x (- 1 y)) z) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(/ (* x (- 1 y)) z) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(/ (* x (- 1 y)) z) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(/ (* x (- 1 y)) z) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(/ (+ x (* -1 (* x y))) z) |
(/.f64 (-.f64 x (*.f64 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)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ x (* -1 (* x y))) |
(-.f64 x (*.f64 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) |
(* 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 x (*.f64 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)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ z (+ x (* -1 (* x y)))) |
(/.f64 (/.f64 z (-.f64 #s(literal 1 binary64) y)) x) |
(* z (+ (* -1 (/ (* y z) (pow (+ x (* -1 (* x y))) 2))) (/ 1 (+ x (* -1 (* x y)))))) |
(fma.f64 (neg.f64 z) (*.f64 (/.f64 z (pow.f64 (-.f64 x (*.f64 y x)) #s(literal 2 binary64))) y) (/.f64 (/.f64 z (-.f64 #s(literal 1 binary64) y)) x)) |
(* z (+ (* z (- (/ (* (pow y 2) z) (pow (+ x (* -1 (* x y))) 3)) (/ y (pow (+ x (* -1 (* x y))) 2)))) (/ 1 (+ x (* -1 (* x y)))))) |
(fma.f64 (*.f64 z z) (-.f64 (*.f64 (/.f64 z (pow.f64 (-.f64 x (*.f64 y x)) #s(literal 3 binary64))) (*.f64 y y)) (/.f64 y (pow.f64 (-.f64 x (*.f64 y x)) #s(literal 2 binary64)))) (/.f64 (/.f64 z (-.f64 #s(literal 1 binary64) y)) x)) |
(* z (+ (* z (- (* z (- (* -1 (/ (* (pow y 3) z) (pow (+ x (* -1 (* x y))) 4))) (* -1 (/ (pow y 2) (pow (+ x (* -1 (* x y))) 3))))) (/ y (pow (+ x (* -1 (* x y))) 2)))) (/ 1 (+ x (* -1 (* x y)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (neg.f64 z) (pow.f64 (-.f64 x (*.f64 y x)) #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)) (*.f64 y (/.f64 y (pow.f64 (-.f64 x (*.f64 y x)) #s(literal 3 binary64))))) z (/.f64 (neg.f64 y) (pow.f64 (-.f64 x (*.f64 y x)) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y x)))) z) |
(+ x (* -1 (* x y))) |
(-.f64 x (*.f64 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) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ 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 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 y)) z) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(/ (* x (- 1 y)) z) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(/ (* x (- 1 y)) z) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(/ (* x (- 1 y)) z) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* y z) |
(*.f64 z y) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) z) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) z) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) z) |
(* y z) |
(*.f64 z y) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 y (*.f64 (/.f64 x z) y)) z) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 y (*.f64 (/.f64 x z) y)) z) |
(* z (+ y (* -1 (/ (* x y) z)))) |
(*.f64 (-.f64 y (*.f64 (/.f64 x z) y)) z) |
(* 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 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ (+ (* -1 (/ x y)) (/ x (pow y 2))) z)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 x y) y) (/.f64 x y)) z)) |
(- (+ (/ 1 y) (/ (* (+ x (* -1 (* x y))) (+ (* -1 (/ x y)) (/ x (pow y 2)))) (* y (pow z 2)))) (+ (* -1 (/ x (* y z))) (/ x (* (pow y 2) z)))) |
(fma.f64 (/.f64 (-.f64 x (*.f64 y x)) (*.f64 z z)) (/.f64 (-.f64 (/.f64 (/.f64 x y) y) (/.f64 x y)) y) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 x y) y) (/.f64 x y)) z))) |
(- (+ (* -1 (/ (* (pow (+ x (* -1 (* x y))) 2) (+ (* -1 (/ x y)) (/ x (pow y 2)))) (* (pow y 2) (pow z 3)))) (/ 1 y)) (+ (* -1 (/ x (* y z))) (+ (* -1 (/ (* (+ x (* -1 (* x y))) (+ (* -1 (/ x y)) (/ x (pow y 2)))) (* y (pow z 2)))) (/ x (* (pow y 2) z))))) |
(fma.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (/.f64 x y) y) (/.f64 x y))) (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (-.f64 x (*.f64 y x)) #s(literal 2 binary64)) y) y) (-.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 x y) y) (/.f64 x y)) z) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 x y) y) (/.f64 x y)) (-.f64 x (*.f64 y x))) (*.f64 (*.f64 z z) y))))) |
(* y z) |
(*.f64 z y) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) z) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) z) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) z) |
z |
(* z (+ 1 (* -1 (/ x z)))) |
(*.f64 (/.f64 (-.f64 z x) z) z) |
(* z (+ 1 (* -1 (/ x z)))) |
(*.f64 (/.f64 (-.f64 z x) z) z) |
(* z (+ 1 (* -1 (/ x z)))) |
(*.f64 (/.f64 (-.f64 z x) z) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ 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 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 y)) z) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(/ (* x (- 1 y)) z) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(/ (* x (- 1 y)) z) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
(/ (* x (- 1 y)) z) |
(/.f64 (-.f64 x (*.f64 y x)) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z))))) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) z) |
(* y z) |
(*.f64 z y) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(*.f64 (-.f64 y (*.f64 (/.f64 x z) y)) z) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(*.f64 (-.f64 y (*.f64 (/.f64 x z) y)) z) |
(* -1 (* z (+ (* -1 y) (/ (* x y) z)))) |
(*.f64 (-.f64 y (*.f64 (/.f64 x z) y)) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
y |
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(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
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(/.f64 (fma.f64 (/.f64 y (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 z z) x) (/.f64 z (-.f64 y #s(literal 1 binary64)))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 3)) (* x (pow (- y 1) 3)))) (/ (* y (pow z 2)) (pow (- y 1) 2))) x)) (/ z (- y 1))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 z (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) x) (*.f64 y y) (*.f64 (*.f64 z z) (/.f64 y (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))))) x) (/.f64 z (-.f64 y #s(literal 1 binary64)))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 4)) (* x (pow (- y 1) 4))) (* -1 (/ (* (pow y 2) (pow z 3)) (pow (- y 1) 3)))) x)) (/ (* y (pow z 2)) (pow (- y 1) 2))) x)) (/ z (- y 1))) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 z (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 y y) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 4 binary64)) x))) x) (*.f64 (*.f64 z z) (/.f64 y (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 2 binary64))))) x) (/.f64 z (-.f64 y #s(literal 1 binary64)))) (neg.f64 x)) |
(* -1 (* x (- y 1))) |
(-.f64 x (*.f64 y x)) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (fma.f64 (/.f64 z x) y (neg.f64 y)) x x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (fma.f64 (/.f64 z x) y (neg.f64 y)) x x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (fma.f64 (/.f64 z x) y (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) |
| 6 836× | lower-fma.f32 |
| 6 832× | lower-fma.f64 |
| 4 648× | lower-*.f32 |
| 4 644× | lower-*.f64 |
| 3 810× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 137 |
| 0 | 37 | 132 |
| 1 | 163 | 132 |
| 2 | 1126 | 132 |
| 0 | 8442 | 132 |
| 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) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/.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 z y) |
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y x))) |
(/.f64 z (fma.f64 (-.f64 z x) y x)) |
(fma.f64 (-.f64 z x) y x) |
(-.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) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) 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)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) 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))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 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 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)))) (fma.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) 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 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) 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 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) 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 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) 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 (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) 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))) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) 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 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (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 (-.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 (+.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 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 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) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) |
(/.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 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x (neg.f64 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))) |
(neg.f64 (/.f64 (neg.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)))) |
(neg.f64 (/.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)))) (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))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y))) |
(neg.f64 (/.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)))))) |
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) y) |
(fma.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x 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 #s(literal -1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) z) 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 y #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) z) y) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (pow.f64 z #s(literal -1 binary64)) y) |
(fma.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) (neg.f64 (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)))) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
(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 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) 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 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) 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 (*.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (-.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))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) z)) |
(*.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 (+.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal -1 binary64))))) |
(*.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 (/.f64 y z) (+.f64 (/.f64 y z) (pow.f64 z #s(literal -1 binary64))))))) |
(*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) 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) (fma.f64 z y z))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (fma.f64 (neg.f64 y) (-.f64 z x) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 z x) y (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (neg.f64 (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 z x) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 z x) y)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 z x) y) (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 z x) y)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 z x) y) (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 x x))) |
(/.f64 (neg.f64 (fma.f64 (-.f64 z x) y x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 z x) y x))) |
(/.f64 (fma.f64 (-.f64 z x) y x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (fma.f64 (-.f64 z x) y x))) |
(fma.f64 (*.f64 (-.f64 z x) #s(literal 1 binary64)) y x) |
(fma.f64 (*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) y) (pow.f64 (+.f64 z x) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (pow.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (*.f64 y (+.f64 z x)) (-.f64 z x)) (pow.f64 (+.f64 z x) #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 y (-.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)) x) |
(fma.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 z x) y (neg.f64 x))))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 z x) y))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) y))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) z x) y))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (-.f64 z x) y)) |
(fma.f64 (-.f64 z x) y x) |
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (fma.f64 (neg.f64 x) y x)) |
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) y) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) y))) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) z x) y))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 z x) y)) |
(fma.f64 (*.f64 (-.f64 z x) y) #s(literal 1 binary64) x) |
(fma.f64 z y (fma.f64 (neg.f64 x) y x)) |
(fma.f64 z y (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 y (-.f64 z x) x) |
(fma.f64 y z (fma.f64 (neg.f64 x) y x)) |
(fma.f64 y z (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) y))) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) z x) y))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 z x) y)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (-.f64 z x) y (neg.f64 x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 z x) y (neg.f64 x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 z x) y))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 z x) y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (-.f64 z x) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 z x) y (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 z x) y))) (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 z x) y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 z x) y x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (+.f64 x (*.f64 z y)) (*.f64 (neg.f64 x) y)) |
(+.f64 (+.f64 x (*.f64 z y)) (*.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) y)) x) |
(+.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) z x) y)) x) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (-.f64 z x) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 z x) y (neg.f64 x))))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 z x) y))) (neg.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 z x) y))))) |
(+.f64 (*.f64 z y) (fma.f64 (neg.f64 x) y x)) |
(+.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(+.f64 (*.f64 (-.f64 z x) y) x) |
(+.f64 x (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) y))) |
(+.f64 x (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) z x) y))) |
(+.f64 x (*.f64 (-.f64 z x) y)) |
(*.f64 (*.f64 (+.f64 z x) (fma.f64 #s(literal -1 binary64) z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z x)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z z (*.f64 x (+.f64 z x)))))) |
(*.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (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))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) z))))) |
(*.f64 (-.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 #s(literal 1 binary64) (-.f64 z x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z z) (+.f64 z x)) (/.f64 (*.f64 z z) (+.f64 z x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 x x) (+.f64 z x)))) (+.f64 (/.f64 (*.f64 z z) (+.f64 z x)) (/.f64 (*.f64 x x) (+.f64 z x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))))) (+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 (neg.f64 x) z)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z z) (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 z x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 z z) (+.f64 z x)) (/.f64 (*.f64 z z) (+.f64 z x)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 x x) (+.f64 z x)) (*.f64 (/.f64 (*.f64 z z) (+.f64 z x)) (/.f64 (*.f64 x x) (+.f64 z x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 (neg.f64 x) z)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z x) (fma.f64 #s(literal -1 binary64) z x))) (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 z z (*.f64 x (+.f64 z x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 z x)) (*.f64 (+.f64 z x) (*.f64 x x))) (*.f64 (+.f64 z x) (+.f64 z x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (fma.f64 z z (*.f64 x (+.f64 z x))))) |
(/.f64 (*.f64 (+.f64 z x) (fma.f64 #s(literal -1 binary64) z x)) (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 z z (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 x (+.f64 z x))))) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 z x)) (+.f64 z x)) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) z)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z (*.f64 x (+.f64 z x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))) |
(neg.f64 (fma.f64 #s(literal -1 binary64) z x)) |
(fma.f64 (*.f64 z z) (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 z x)))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z 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 z #s(literal 1 binary64) (neg.f64 x)) |
(-.f64 (+.f64 z #s(literal 0 binary64)) x) |
(-.f64 (/.f64 (*.f64 z z) (+.f64 z x)) (/.f64 (*.f64 x x) (+.f64 z x))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x))))) |
(-.f64 #s(literal 0 binary64) (-.f64 x z)) |
(-.f64 z x) |
(+.f64 (/.f64 (*.f64 z z) (+.f64 z x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 z x)))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 z z (*.f64 x (+.f64 z x)))))) |
(+.f64 (neg.f64 x) z) |
(+.f64 z (neg.f64 x)) |
Compiled 25 375 to 3 049 computations (88% saved)
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 435 | 8 | 1 443 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 440 | 12 | 1 452 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 69.6% | (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) |
| ▶ | 59.1% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) |
| 34.9% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) | |
| ▶ | 78.6% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
| 57.7% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) | |
| ✓ | 36.5% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| 72.3% | #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))) | |
| ▶ | 96.2% | #s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) |
| 52.4% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 z y z)) x)) | |
| 28.4% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) | |
| ▶ | 36.4% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
| ▶ | 57.8% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) |
Compiled 180 to 170 computations (5.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 z x) | |
| cost-diff | 0 | (*.f64 (-.f64 z x) y) | |
| cost-diff | 0 | #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) | |
| 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 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) | |
| cost-diff | 128 | (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y) |
| 3 630× | lower-fma.f32 |
| 3 628× | lower-fma.f64 |
| 2 530× | lower-*.f32 |
| 2 522× | lower-*.f64 |
| 2 208× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 209 |
| 0 | 39 | 209 |
| 1 | 61 | 209 |
| 2 | 92 | 209 |
| 3 | 157 | 209 |
| 4 | 329 | 209 |
| 5 | 535 | 209 |
| 6 | 1004 | 209 |
| 7 | 1838 | 209 |
| 8 | 3083 | 209 |
| 9 | 3288 | 209 |
| 10 | 3404 | 209 |
| 11 | 3489 | 209 |
| 12 | 3501 | 209 |
| 13 | 3504 | 209 |
| 14 | 3856 | 209 |
| 15 | 4627 | 209 |
| 16 | 5159 | 209 |
| 17 | 5560 | 209 |
| 18 | 5772 | 209 |
| 19 | 5901 | 209 |
| 20 | 6053 | 209 |
| 21 | 6286 | 209 |
| 22 | 6801 | 209 |
| 23 | 7150 | 209 |
| 24 | 7261 | 209 |
| 0 | 8297 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/.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 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) |
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#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 (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 x z) |
x |
z |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) |
(*.f64 (-.f64 z x) y) |
(-.f64 z x) |
z |
x |
y |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.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)) |
(+.f64 (*.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 (-.f64 #s(literal 1 binary64) y) z) x) |
(/.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 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) |
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#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 (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
(*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/.f64 x z) |
x |
z |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) |
(*.f64 (-.f64 z x) y) |
(-.f64 z x) |
z |
x |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 z x) | |
| accuracy | 0 | (*.f64 (-.f64 z x) y) | |
| accuracy | 7.53492131780464 | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) | |
| accuracy | 20.090827950576468 | #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 2.4005069278626303 | (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 26.98948364903458 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) 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 | 2.4390861974858327 | (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) | |
| accuracy | 35.22312338532951 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) | |
| accuracy | 2.5170756023459107 | (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) | |
| accuracy | 26.98948364903458 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) | |
| accuracy | 35.22312338532951 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| accuracy | 0 | #s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y) | |
| accuracy | 2.5170756023459107 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
| 44.0ms | 256× | 0 | valid |
Compiled 149 to 17 computations (88.6% saved)
ival-mult: 12.0ms (43.3% of total)ival-div: 9.0ms (32.4% of total)ival-sub: 4.0ms (14.4% of total)ival-add: 2.0ms (7.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y) (patch (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #<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 #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #<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 (/ (+ 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 #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.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 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 z x) y) (patch (*.f64 (-.f64 z x) y) #<representation binary64>) () ()) |
#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y) (patch (+.f64 (*.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 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y) (patch (+.f64 (*.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 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y) (patch (+.f64 (*.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 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y) (patch (+.f64 (*.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 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.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 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.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 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.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 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) (patch (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) #<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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 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 (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 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 (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 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 (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) #<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>) () ())) ()) |
#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 (/ (+ 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 (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) 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 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) 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 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) 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 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
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#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 #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 -inf x) (#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 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#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 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#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 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#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 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) 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) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) 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) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) 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) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) #<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 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 z x) y) (patch (*.f64 (-.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 z x) y) (patch (*.f64 (-.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 z x) y) (patch (*.f64 (-.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 z x) y) (patch (*.f64 (-.f64 z x) y) #<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 | |
|---|---|---|---|---|
| 48.0ms | y | @ | 0 | ((+ (* (/ (- 1 y) z) x) y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (+ x (* y (- z x))) z) (* (/ x z) (- 1 y)) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x)) |
| 1.0ms | z | @ | -inf | ((+ (* (/ (- 1 y) z) x) y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (+ x (* y (- z x))) z) (* (/ x z) (- 1 y)) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x)) |
| 1.0ms | y | @ | inf | ((+ (* (/ (- 1 y) z) x) y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (+ x (* y (- z x))) z) (* (/ x z) (- 1 y)) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x)) |
| 1.0ms | x | @ | -inf | ((+ (* (/ (- 1 y) z) x) y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (+ x (* y (- z x))) z) (* (/ x z) (- 1 y)) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x)) |
| 1.0ms | z | @ | 0 | ((+ (* (/ (- 1 y) z) x) y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (+ x (* y (- z x))) z) (* (/ x z) (- 1 y)) (/ x z) (- 1 y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x)) |
| 1× | egg-herbie |
| 12 372× | lower-fma.f64 |
| 12 372× | lower-fma.f32 |
| 3 386× | lower-*.f64 |
| 3 386× | lower-*.f32 |
| 1 312× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 4110 |
| 1 | 474 | 3552 |
| 2 | 1435 | 3552 |
| 3 | 4115 | 3552 |
| 4 | 6300 | 3552 |
| 0 | 8490 | 3336 |
| 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) |
(/ (+ 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) |
(/ (- 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) |
(/ (- 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) |
(/ (+ 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))) |
(+ x (+ (* -1 (* x y)) (* y 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 |
(+ 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))) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* 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) |
(/ (- 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))) |
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))) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) 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 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 |
(+ 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))) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* 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) |
(/ (- 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))) |
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))) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) 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 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 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) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
(/ 1 z) |
(+ (* -1 (/ y z)) (/ 1 z)) |
(+ (* -1 (/ y z)) (/ 1 z)) |
(+ (* -1 (/ y 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) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
(+ (* -1 (/ (* x y) 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 (* -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) |
(+ (* -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)) |
(/ 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))) |
(* y (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
(* 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))) |
(* -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 z)) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* y (- (/ 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))) |
(* -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 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 (+ 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))) |
(* -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)) |
(/ (* 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 (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
(* -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))))) |
(* -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 z)) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 (* y (- (/ 1 z) (/ 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 (/ (* 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 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 (* 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))))) |
(* -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)))) |
(/ (* 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 (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
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)))) |
(/ (* 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 (* 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) |
(/ 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)) |
(* 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 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)))) |
(/ (* 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)))) |
(* 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 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)))) |
(* -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)) |
(/ (* 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)))) |
(/ (* 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)))) |
(/ (* 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) |
(/ 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))) |
(* -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 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.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) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.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) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 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) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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) |
(* -1 x) |
(neg.f64 x) |
(- z x) |
(-.f64 z x) |
(- z x) |
(-.f64 z x) |
(- z x) |
(-.f64 z x) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.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 (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.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) |
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(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.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)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ 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)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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) |
(* -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) |
| 9 210× | lower-fma.f32 |
| 9 208× | lower-fma.f64 |
| 5 672× | lower-*.f32 |
| 5 664× | lower-*.f64 |
| 3 512× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 176 |
| 0 | 39 | 176 |
| 1 | 141 | 176 |
| 2 | 1008 | 176 |
| 0 | 8726 | 168 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y) |
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
(*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) |
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#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) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 x z) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) |
(*.f64 (-.f64 z x) y) |
(-.f64 z x) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))) (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y))) |
(*.f64 (fma.f64 y (-.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))) (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64))) (*.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y) (pow.f64 (fma.f64 y (-.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))) (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (neg.f64 y)))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))) (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y) (*.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (neg.f64 y))) (/.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (neg.f64 y)))) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)))) (fma.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (neg.f64 y))) (/.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (neg.f64 y))) (fma.f64 (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) (*.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (neg.f64 y))) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))) (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (neg.f64 y))) (*.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (neg.f64 y)) (*.f64 y y))) (*.f64 (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (neg.f64 y)) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64))) (-.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (neg.f64 y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))) (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (neg.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (neg.f64 y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))) (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))) (-.f64 (*.f64 y y) (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (neg.f64 y)))) (+.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (neg.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))) (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 x z) y))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z))) (pow.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z) (fma.f64 (/.f64 x z) (neg.f64 y) y)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) z) (fma.f64 (/.f64 (neg.f64 y) z) x y)) |
(fma.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 x z) (neg.f64 y) y)) |
(fma.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (neg.f64 y) z) x y)) |
(fma.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x z) y) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) z) y) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z) y) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 x (+.f64 y #s(literal 1 binary64))) 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 y #s(literal 1 binary64)) #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 x #s(literal -1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) z) y) |
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) z) x) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) x) (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) (*.f64 y y)) z) (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) y) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) z) (/.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) y) |
(fma.f64 (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) y) |
(fma.f64 (*.f64 (/.f64 x 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 y #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) z) y) |
(fma.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z y z))) y) |
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(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z)) |
(pow.f64 (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)))) |
(/.f64 (neg.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))) (neg.f64 z)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (neg.f64 z)))) |
(neg.f64 (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (neg.f64 z))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)))) |
(*.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) |
(neg.f64 (neg.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)))) |
(*.f64 (*.f64 (-.f64 z x) #s(literal 1 binary64)) y) |
(*.f64 (*.f64 (+.f64 x z) (*.f64 (-.f64 z x) y)) (pow.f64 (+.f64 x z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (pow.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 y (+.f64 x z)) (-.f64 z x)) (pow.f64 (+.f64 x z) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (*.f64 (pow.f64 (+.f64 x z) #s(literal -1 binary64)) y)) |
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) #s(literal -1 binary64)) y)) |
(*.f64 (-.f64 z x) y) |
(*.f64 (*.f64 (-.f64 z x) y) #s(literal 1 binary64)) |
(*.f64 y (-.f64 z x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (-.f64 (*.f64 y z) (*.f64 (neg.f64 y) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y))) (-.f64 (*.f64 z y) (*.f64 (neg.f64 x) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (*.f64 y z) (-.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x)) (*.f64 (*.f64 y z) (*.f64 (neg.f64 y) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 (*.f64 z y) (*.f64 z y) (-.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y)) (*.f64 (*.f64 z y) (*.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x z) (*.f64 (-.f64 z x) y))) (neg.f64 (+.f64 x z))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (+.f64 x z)) (-.f64 z x))) (neg.f64 (+.f64 x z))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)))) |
(/.f64 (*.f64 (+.f64 x z) (*.f64 (-.f64 z x) y)) (+.f64 x z)) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x (+.f64 x z) (*.f64 z z))) |
(/.f64 (*.f64 (*.f64 y (+.f64 x z)) (-.f64 z x)) (+.f64 x z)) |
(/.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 y (/.f64 #s(literal 1 binary64) (-.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (*.f64 (-.f64 z x) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (*.f64 y (+.f64 x z)) (-.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 x #s(literal -1 binary64)) y (*.f64 z y)) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y (*.f64 z y)) |
(fma.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64) (*.f64 z y)) |
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (*.f64 (neg.f64 x) y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (*.f64 y z)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 z y)) |
(fma.f64 (neg.f64 y) x (*.f64 y z)) |
(fma.f64 (neg.f64 x) y (*.f64 z y)) |
(fma.f64 x (neg.f64 y) (*.f64 z y)) |
(fma.f64 z y (*.f64 (neg.f64 x) y)) |
(fma.f64 y (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 y z)) |
(fma.f64 y (neg.f64 x) (*.f64 y z)) |
(fma.f64 y z (*.f64 (neg.f64 y) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x) (*.f64 y z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y z) (*.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 (neg.f64 x) y) (*.f64 z y)) |
(+.f64 (*.f64 (neg.f64 y) x) (*.f64 y z)) |
(+.f64 (*.f64 y z) (*.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 z y) (*.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 (+.f64 x z) (fma.f64 #s(literal -1 binary64) z x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x z)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x z) (*.f64 z z))))) |
(*.f64 (+.f64 x z) (*.f64 (-.f64 z x) (pow.f64 (+.f64 x z) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (pow.f64 (+.f64 x z) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (*.f64 (-.f64 z x) (pow.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) z))))) |
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 z x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z z) (+.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (/.f64 (*.f64 x x) (+.f64 x z)))) (+.f64 (/.f64 (*.f64 z z) (+.f64 x z)) (/.f64 (*.f64 x x) (+.f64 x z)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))))) (+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 (neg.f64 x) z)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z z) (+.f64 x z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 x z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 z z) (+.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (/.f64 (*.f64 x x) (+.f64 x z)) (*.f64 (/.f64 (*.f64 z z) (+.f64 x z)) (/.f64 (*.f64 x x) (+.f64 x z)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 (neg.f64 x) z)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x z) (fma.f64 #s(literal -1 binary64) z x))) (neg.f64 (neg.f64 (+.f64 x z)))) |
(/.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 x (+.f64 x z) (*.f64 z z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 x z)) (*.f64 (+.f64 x z) (*.f64 x x))) (*.f64 (+.f64 x z) (+.f64 x z))) |
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (fma.f64 x (+.f64 x z) (*.f64 z z)))) |
(/.f64 (*.f64 (+.f64 x z) (fma.f64 #s(literal -1 binary64) z x)) (neg.f64 (+.f64 x z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) z))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)))) |
(/.f64 (*.f64 (+.f64 x z) (-.f64 z x)) (+.f64 x z)) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) z)))) |
(/.f64 (-.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 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 z x))) |
(neg.f64 (fma.f64 #s(literal -1 binary64) z x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 z) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x z) |
(fma.f64 (*.f64 z z) (pow.f64 (+.f64 x z) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x z)))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))))) |
(fma.f64 z #s(literal 1 binary64) (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) z (neg.f64 x)) |
(-.f64 (+.f64 z #s(literal 0 binary64)) x) |
(-.f64 (/.f64 (*.f64 z z) (+.f64 x z)) (/.f64 (*.f64 x x) (+.f64 x z))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x z)) |
(-.f64 z x) |
(+.f64 (/.f64 (*.f64 z z) (+.f64 x z)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x z)))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 x z) (*.f64 z z))))) |
(+.f64 (neg.f64 x) z) |
(+.f64 z (neg.f64 x)) |
Compiled 20 870 to 2 906 computations (86.1% saved)
12 alts after pruning (8 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 451 | 5 | 1 456 |
| Fresh | 2 | 3 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 456 | 12 | 1 468 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 27.3% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) |
| ▶ | 34.9% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
| ▶ | 67.2% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) |
| ✓ | 78.6% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
| 57.7% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) | |
| ▶ | 52.5% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 z y z))) |
| ✓ | 36.5% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| 78.6% | #s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) y)) | |
| ▶ | 78.7% | #s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
| 28.4% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) | |
| ✓ | 36.4% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
| ✓ | 57.8% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) |
Compiled 163 to 157 computations (3.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 z y z))) | |
| cost-diff | 704 | (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 z y z)) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) | |
| cost-diff | 0 | #s(approx (- z x) (neg.f64 x)) | |
| cost-diff | 0 | (*.f64 #s(approx (- z x) (neg.f64 x)) y) | |
| cost-diff | 0 | #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (+ x (* y (- z x))) (*.f64 z y)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) | |
| cost-diff | 0 | (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
| 7 570× | lower-fma.f32 |
| 7 566× | lower-fma.f64 |
| 2 712× | lower-*.f32 |
| 2 704× | lower-*.f64 |
| 1 276× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 243 |
| 0 | 50 | 243 |
| 1 | 82 | 243 |
| 2 | 121 | 243 |
| 3 | 218 | 243 |
| 4 | 541 | 243 |
| 5 | 1147 | 233 |
| 6 | 3133 | 233 |
| 7 | 5393 | 233 |
| 8 | 7037 | 233 |
| 0 | 8047 | 226 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
(+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) |
#s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
y |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) |
(*.f64 #s(approx (- z x) (neg.f64 x)) y) |
#s(approx (- z x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
z |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) |
(fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) |
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
z |
x |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 z y z))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 z y z)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
(fma.f64 z y z) |
z |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
(+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) |
#s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
y |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) |
(*.f64 #s(approx (- z x) (neg.f64 x)) y) |
#s(approx (- z x) (neg.f64 x)) |
(neg.f64 x) |
x |
y |
z |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) y)) |
(fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) |
(fma.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 x z) y) |
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z) |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
z |
x |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 z y z))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 z y z)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(fma.f64 (neg.f64 y) y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 y y) |
y |
(fma.f64 z y z) |
z |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 3.7599080665191154 | (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) | |
| accuracy | 10.581341616401788 | (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 z y z)) | |
| accuracy | 26.98948364903458 | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 z y z))) | |
| accuracy | 0 | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) | |
| accuracy | 0.00390625 | (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) | |
| accuracy | 2.4390861974858327 | (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) | |
| accuracy | 27.9305250252007 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 7.53492131780464 | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) | |
| accuracy | 20.090827950576468 | #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) | |
| accuracy | 33.176124827072115 | #s(approx (- z x) (neg.f64 x)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 7.53492131780464 | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) | |
| accuracy | 35.483895774721226 | #s(approx (+ x (* y (- z x))) (*.f64 z y)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | #s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) | |
| accuracy | 0.0078125 | (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) | |
| accuracy | 31.450399288991612 | #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) |
| 44.0ms | 256× | 0 | valid |
Compiled 160 to 24 computations (85% saved)
ival-mult: 12.0ms (41.7% of total)ival-div: 7.0ms (24.3% of total)ival-sub: 5.0ms (17.4% of total)ival-add: 4.0ms (13.9% of total)ival-neg: 2.0ms (6.9% 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) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) (patch (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) (patch #s(approx (* (/ (- 1 y) z) x) (/.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 z y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* y (- z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- z x) (neg.f64 x)) y) (patch (*.f64 #s(approx (- z x) (neg.f64 x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- z x) (neg.f64 x)) (patch #s(approx (- z x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) (patch (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) (patch (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 z y z)) (patch (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 z y z)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 z y z))) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 z y z))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 y y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) 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(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) 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(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) 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(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) (patch (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) (patch (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) (patch (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) (patch (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) (patch #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) (patch #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) (patch #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) (patch #s(approx (* (/ (- 1 y) z) x) (/.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 z y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) 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 z y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) 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 z y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) 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 z y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (- z 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 (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) 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 #s(approx (- z x) (neg.f64 x)) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) 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 #s(approx (- z x) (neg.f64 x)) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) 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 #s(approx (- z x) (neg.f64 x)) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 z) (#s(alt (*.f64 #s(approx (- z x) (neg.f64 x)) y) (patch (*.f64 #s(approx (- z x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 #s(approx (- z x) (neg.f64 x)) y) (patch (*.f64 #s(approx (- z x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 #s(approx (- z x) (neg.f64 x)) y) (patch (*.f64 #s(approx (- z x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 #s(approx (- z x) (neg.f64 x)) y) (patch (*.f64 #s(approx (- z x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 z) (#s(alt #s(approx (- z x) (neg.f64 x)) (patch #s(approx (- z x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- z x) (taylor 0 z) (#s(alt #s(approx (- z x) (neg.f64 x)) (patch #s(approx (- z x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- z x) (taylor 0 z) (#s(alt #s(approx (- z x) (neg.f64 x)) (patch #s(approx (- z x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (- z x) (taylor 0 z) (#s(alt #s(approx (- z x) (neg.f64 x)) (patch #s(approx (- z x) (neg.f64 x)) #<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) (neg.f64 y)) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 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 #s(approx (- 1 y) (neg.f64 y)) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 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 #s(approx (- 1 y) (neg.f64 y)) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#s(alt (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) (patch (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) (patch #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) (patch #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) (patch #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) (patch #s(approx (* (/ (- 1 y) z) x) (/.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>) () ())) ()) |
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#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 z y)) (patch #s(approx (+ x (* y (- z x))) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z x) (neg.f64 x)) y) (patch (*.f64 #s(approx (- z x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z x) (neg.f64 x)) y) (patch (*.f64 #s(approx (- z x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z x) (neg.f64 x)) y) (patch (*.f64 #s(approx (- z x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z x) (neg.f64 x)) y) (patch (*.f64 #s(approx (- z x) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- z x) (neg.f64 x)) (patch #s(approx (- z x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (- 1 (pow y 2))) (+ z (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 z y z)) (patch (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 z y z)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 z y z))) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 z y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (pow y 2))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) #<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>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (* (/ (- 1 y) z) x) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (* x (- 1 (* y y))) (+ (* z y) z)) (/ (+ x (* y (- z x))) z) (* x (- 1 (* y y))) (- 1 (* y y)) (neg x) (* y y)) |
| 2.0ms | z | @ | -inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (* (/ (- 1 y) z) x) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (* x (- 1 (* y y))) (+ (* z y) z)) (/ (+ x (* y (- z x))) z) (* x (- 1 (* y y))) (- 1 (* y y)) (neg x) (* y y)) |
| 2.0ms | x | @ | -inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (* (/ (- 1 y) z) x) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (* x (- 1 (* y y))) (+ (* z y) z)) (/ (+ x (* y (- z x))) z) (* x (- 1 (* y y))) (- 1 (* y y)) (neg x) (* y y)) |
| 2.0ms | x | @ | inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (* (/ (- 1 y) z) x) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (* x (- 1 (* y y))) (+ (* z y) z)) (/ (+ x (* y (- z x))) z) (* x (- 1 (* y y))) (- 1 (* y y)) (neg x) (* y y)) |
| 2.0ms | z | @ | 0 | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (* (/ (- 1 y) z) x) (/ x z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x) (/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (* x (- 1 (* y y))) (+ (* z y) z)) (/ (+ x (* y (- z x))) z) (* x (- 1 (* y y))) (- 1 (* y y)) (neg x) (* y y)) |
| 1× | egg-herbie |
| 8 986× | lower-fma.f64 |
| 8 986× | lower-fma.f32 |
| 3 192× | lower-*.f64 |
| 3 192× | lower-*.f32 |
| 1 460× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 172 | 4793 |
| 1 | 546 | 3872 |
| 2 | 1627 | 3872 |
| 3 | 4806 | 3872 |
| 4 | 7946 | 3872 |
| 0 | 8239 | 3605 |
| 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) |
(/ (* 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) |
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(* -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))) |
(* -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 (* 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))))) |
(* -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))))) |
(/ (* x (- 1 (pow y 2))) (+ z (* y z))) |
(/ (* x (- 1 (pow y 2))) (+ z (* y z))) |
(/ (* x (- 1 (pow y 2))) (+ z (* y z))) |
(/ (* x (- 1 (pow y 2))) (+ z (* 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 (pow y 2))) |
(* x (- 1 (pow y 2))) |
(* x (- 1 (pow y 2))) |
(* x (- 1 (pow y 2))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 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) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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 y) x) |
(+ (* -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) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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 (pow y 2))) (* z (+ 1 y))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 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))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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) |
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 |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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 (pow y 2))) (* z (+ 1 y))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ (* x (- 1 (pow y 2))) (* z (+ 1 y))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 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))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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) |
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) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (/ (* x (- 1 y)) z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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) |
(* -1 (/ (* x (- 1 (pow y 2))) (* z (- (* -1 y) 1)))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* -1 (/ (* x (- 1 (pow y 2))) (* z (- (* -1 y) 1)))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* -1 (/ (* x (- 1 (pow y 2))) (* z (- (* -1 y) 1)))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* -1 (/ (* x (- 1 (pow y 2))) (* z (- (* -1 y) 1)))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ x z) |
(/.f64 x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ x z) |
(/.f64 x z) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
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(+ y (* x (- (/ 1 z) (/ y z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ 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 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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) |
z |
(+ z (* -1 x)) |
(-.f64 z x) |
(+ z (* -1 x)) |
(-.f64 z x) |
(+ z (* -1 x)) |
(-.f64 z x) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
y |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 (pow y 2))) (+ z (* y z))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ (* x (- 1 (pow y 2))) (+ z (* y z))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ (* x (- 1 (pow y 2))) (+ z (* y z))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ (* x (- 1 (pow y 2))) (+ z (* y z))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* x (- 1 (pow y 2))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(* x (- 1 (pow y 2))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(* x (- 1 (pow y 2))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(* x (- 1 (pow y 2))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (* x (+ 1 (* -1 y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* x (- (/ 1 z) (/ y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ 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)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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 #s(literal 1 binary64) y) (/.f64 x z)) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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 y) x) |
(* 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) |
(/ (* x (+ 1 (* -1 y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* x (- (/ 1 z) (/ y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 (pow y 2))) (+ z (* y z))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ (* x (- 1 (pow y 2))) (+ z (* y z))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ (* x (- 1 (pow y 2))) (+ z (* y z))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ (* x (- 1 (pow y 2))) (+ z (* y z))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ (* x (+ 1 (* -1 y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* x (- 1 (pow y 2))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(* x (- 1 (pow y 2))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(* x (- 1 (pow y 2))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(* x (- 1 (pow y 2))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 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)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ 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)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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 #s(literal 1 binary64) y) (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) 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 y) x) |
(* -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) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(/ (* x (- 1 (pow y 2))) (+ z (* y z))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ (* x (- 1 (pow y 2))) (+ z (* y z))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ (* x (- 1 (pow y 2))) (+ z (* y z))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(/ (* x (- 1 (pow y 2))) (+ z (* y z))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) z) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y) |
(* x (- 1 (pow y 2))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(* x (- 1 (pow y 2))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(* x (- 1 (pow y 2))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(* x (- 1 (pow y 2))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 5 014× | lower-fma.f32 |
| 5 010× | lower-fma.f64 |
| 4 188× | lower-/.f32 |
| 4 178× | lower-/.f64 |
| 3 794× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 222 |
| 0 | 50 | 222 |
| 1 | 194 | 222 |
| 2 | 1327 | 212 |
| 0 | 8372 | 205 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
(+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) |
#s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) |
(/.f64 x z) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
(*.f64 z y) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) |
(*.f64 #s(approx (- z x) (neg.f64 x)) y) |
#s(approx (- z x) (neg.f64 x)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) |
(fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y) |
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z) |
#s(approx (- 1 y) (neg.f64 y)) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 z y z)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 z y z))) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y y)) |
(neg.f64 x) |
(*.f64 y y) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
(*.f64 (-.f64 (*.f64 y y) (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(approx (* (/ (- 1 y) z) x) (/.f64 x z))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y #s(approx (* (/ (- 1 y) z) x) (/.f64 x z))) (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y #s(approx (* (/ (- 1 y) z) x) (/.f64 x z))) (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) (/.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) (/.f64 (*.f64 y y) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)))) (+.f64 (/.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) (/.f64 (*.f64 y y) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) (/.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) (/.f64 (*.f64 y y) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) (*.f64 (/.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) (/.f64 (*.f64 y y) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 y #s(approx (* (/ (- 1 y) z) x) (/.f64 x z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y #s(approx (* (/ (- 1 y) z) x) (/.f64 x z))) (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) (*.f64 (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) (*.f64 y y))) (*.f64 (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64))) (-.f64 y #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y #s(approx (* (/ (- 1 y) z) x) (/.f64 x z))) (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 3 binary64))) (fma.f64 y (-.f64 y #s(approx (* (/ (- 1 y) z) x) (/.f64 x z))) (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(approx (* (/ (- 1 y) z) x) (/.f64 x z))) (-.f64 (*.f64 y y) (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (*.f64 y y)) (neg.f64 (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 3 binary64))) (neg.f64 (fma.f64 y (-.f64 y #s(approx (* (/ (- 1 y) z) x) (/.f64 x z))) (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) #s(approx (* (/ (- 1 y) z) x) (/.f64 x z))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(approx (* (/ (- 1 y) z) x) (/.f64 x z))) |
(fma.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)))) |
(fma.f64 (neg.f64 y) #s(literal -1 binary64) #s(approx (* (/ (- 1 y) z) x) (/.f64 x z))) |
(fma.f64 #s(literal 1 binary64) y #s(approx (* (/ (- 1 y) z) x) (/.f64 x z))) |
(fma.f64 y #s(literal 1 binary64) #s(approx (* (/ (- 1 y) z) x) (/.f64 x z))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)))) (/.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (-.f64 y #s(approx (* (/ (- 1 y) z) x) (/.f64 x z))))) |
(-.f64 (/.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) (/.f64 (*.f64 y y) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y))) |
(+.f64 (/.f64 (pow.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) #s(literal 2 binary64)) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)))) |
(+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y) |
(+.f64 y #s(approx (* (/ (- 1 y) z) x) (/.f64 x z))) |
#s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) |
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 x z)) |
(*.f64 x (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (/.f64 z x) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 x) z))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 x) z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 x) z) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 (neg.f64 z) (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z x))) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(/.f64 x z) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z))) |
(neg.f64 (/.f64 (neg.f64 x) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 x z)) |
(*.f64 (pow.f64 (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 z y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 z y))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 z y)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) (neg.f64 z))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 z y))) |
(*.f64 (neg.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z)) |
(pow.f64 (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 z y))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 z y))))) |
(/.f64 (neg.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y))) (neg.f64 z)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 z y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 z y)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) (neg.f64 z)))) |
(neg.f64 (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) (neg.f64 z))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 z y)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)))) |
(*.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ x (* y (- z x))) (*.f64 z y))) |
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
(neg.f64 (neg.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)))) |
(*.f64 z y) |
(*.f64 y z) |
(*.f64 (pow.f64 (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) (neg.f64 z))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))) |
(*.f64 (neg.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z)) |
(pow.f64 (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))))) |
(/.f64 (neg.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))) (neg.f64 z)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) (neg.f64 z)))) |
(neg.f64 (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) (neg.f64 z))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)))) |
(*.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y))) |
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) |
(neg.f64 (neg.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)))) |
(*.f64 #s(approx (- z x) (neg.f64 x)) y) |
(*.f64 y #s(approx (- z x) (neg.f64 x))) |
#s(approx (- z x) (neg.f64 x)) |
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(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
Compiled 11 908 to 1 420 computations (88.1% saved)
12 alts after pruning (4 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 929 | 1 | 930 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 930 | 12 | 942 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 27.3% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) |
| ✓ | 34.9% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
| ✓ | 67.2% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) |
| ✓ | 78.6% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
| 57.7% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) | |
| 22.4% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y))) (fma.f64 z y z))) | |
| ✓ | 36.5% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| 78.6% | #s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) y)) | |
| ✓ | 78.7% | #s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
| 28.4% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) | |
| ✓ | 36.4% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
| ✓ | 57.8% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) |
Compiled 308 to 176 computations (42.9% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z 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) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) |
(/.f64 #s(approx (+ x (* y (- z 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)) |
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) |
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
#s(approx (/ (+ x (* y (- z 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 (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x #s(approx (- 1 (* y y)) (*.f64 (neg.f64 y) y))) (fma.f64 z y z))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 z y z)) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 z y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y x))) |
(/.f64 (+.f64 x (/.f64 y (pow.f64 (-.f64 z x) #s(literal -1 binary64)))) z) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))) |
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
#s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))) |
4 calls:
| 10.0ms | y |
| 8.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 7.0ms | z |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 1 | x |
| 99.9% | 3 | y |
| 99.9% | 3 | z |
| 99.9% | 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 (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z 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) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) |
(/.f64 #s(approx (+ x (* y (- z 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)) |
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))) |
3 calls:
| 6.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 5.0ms | z |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 1 | z |
| 96.2% | 1 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 98.3% | 2 | y |
Compiled 11 to 13 computations (-18.2% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z 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) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) |
(/.f64 #s(approx (+ x (* y (- z 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)) |
| 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) (-.f64 y (*.f64 (/.f64 x z) y))) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z 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) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x y)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) |
(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))) |
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z 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) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) y)) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) |
4 calls:
| 4.0ms | z |
| 4.0ms | x |
| 4.0ms | y |
| 3.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.8% | 3 | x |
| 87.5% | 3 | z |
| 83.7% | 3 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 82.6% | 2 | y |
Compiled 12 to 16 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z 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) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
3 calls:
| 4.0ms | x |
| 3.0ms | y |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.2% | 2 | y |
| 78.7% | 1 | z |
| 78.7% | 1 | x |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
#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) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.7% | 1 | x |
| 78.7% | 1 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 78.7% | 1 | y |
Compiled 11 to 13 computations (-18.2% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
4 calls:
| 6.0ms | z |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.5% | 1 | y |
| 36.5% | 1 | z |
| 36.5% | 1 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 36.5% | 1 | x |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 14413367422667.56 | 262609769308512.56 |
| 7.0ms | -2970328558616.1772 | -1025457101155.7145 |
| 9.0ms | 192× | 0 | valid |
Compiled 216 to 205 computations (5.1% saved)
ival-sub: 1.0ms (21.7% of total)ival-div: 1.0ms (21.7% of total)ival-add: 1.0ms (21.7% of total)ival-mult: 1.0ms (21.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 3.2176708605899556e+79 | 2.8070831951708386e+87 |
| 6.0ms | 48× | 0 | valid |
Compiled 66 to 67 computations (-1.5% saved)
ival-div: 4.0ms (86.4% of total)ival-sub: 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)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.2176708605899556e+79 | 2.8070831951708386e+87 |
Compiled 63 to 64 computations (-1.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 7.422244566873065e-15 | 8.135614925015715e-11 |
| 9.0ms | -1.4583077400768822e+34 | -6.313465234250141e+31 |
| 14.0ms | 240× | 0 | valid |
Compiled 237 to 253 computations (-6.8% saved)
ival-sub: 4.0ms (46.2% of total)ival-div: 2.0ms (23.1% of total)ival-mult: 2.0ms (23.1% of total)ival-add: 1.0ms (11.6% 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 |
|---|---|---|
| 9.0ms | 1.84403806334084e+119 | 5.034327390866395e+120 |
| 16.0ms | -1.3512850270941393e+179 | -2.2634751694436262e+159 |
| 15.0ms | 288× | 0 | valid |
Compiled 282 to 319 computations (-13.1% saved)
ival-sub: 2.0ms (28.3% of total)ival-div: 2.0ms (28.3% of total)ival-mult: 2.0ms (28.3% of total)ival-add: 1.0ms (14.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | 3.462864807025382e+136 | 9.607338008348999e+145 |
| 7.0ms | 144× | 0 | valid |
Compiled 147 to 166 computations (-12.9% saved)
ival-sub: 1.0ms (28.2% of total)ival-div: 1.0ms (28.2% of total)ival-add: 1.0ms (28.2% of total)ival-mult: 1.0ms (28.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 22× | +-commutative-binary64-+.f64 |
| 20× | *-commutative-binary64-*.f64 |
| 16× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 10× | neg-sub0-binary64--.f64-neg.f64 |
| 10× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 343 |
| 1 | 84 | 343 |
| 2 | 102 | 343 |
| 3 | 111 | 343 |
| 4 | 116 | 343 |
| 5 | 117 | 343 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal -1900000000000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))) (if (<=.f64 y #s(literal 15500000000000 binary64)) (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))))) |
(if (<=.f64 y #s(literal 4999999999999999817033982815443287105513571612636783896840181921713543250771443712 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y)))) |
(if (<=.f64 y #s(literal 4999999999999999817033982815443287105513571612636783896840181921713543250771443712 binary64)) #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) (-.f64 y (*.f64 (/.f64 x z) y)))) |
(if (<=.f64 y #s(literal -65000000000000004388725358329856 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))) (if (<=.f64 y #s(literal 6189700196426901/77371252455336267181195264 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))))) |
(if (<=.f64 x #s(literal -679999999999999985708825964750440670365468287365268329562932573105567895738054559938472517760649237713674669591776126434213421271661222691532695232500091297202176 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 x #s(literal 295000000000000004135079607437852211889638948851247878850623079601307778667042646329900466191468805033990112035217604608 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))) |
(if (<=.f64 y #s(literal 349999999999999989018643932353271763280333925111648739263550478404999996736516759110603558435118836382949171724193167634425762871179839799296 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))) |
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -1900000000000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))) (if (<=.f64 y #s(literal 15500000000000 binary64)) (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))))) |
(if (<=.f64 y #s(literal -1900000000000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))) (if (<=.f64 y #s(literal 15500000000000 binary64)) (/.f64 (+.f64 (*.f64 (-.f64 z x) y) x) z) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))))) |
(if (<=.f64 y #s(literal 4999999999999999817033982815443287105513571612636783896840181921713543250771443712 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) y)) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y)))) |
(if (<=.f64 y #s(literal 4999999999999999817033982815443287105513571612636783896840181921713543250771443712 binary64)) #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) (-.f64 y (*.f64 (/.f64 x z) y)))) |
(if (<=.f64 y #s(literal -65000000000000004388725358329856 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))) (if (<=.f64 y #s(literal 6189700196426901/77371252455336267181195264 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) #s(approx (/ (+ x (* y (- z x))) z) (-.f64 y (*.f64 (/.f64 x z) y))))) |
(if (<=.f64 x #s(literal -679999999999999985708825964750440670365468287365268329562932573105567895738054559938472517760649237713674669591776126434213421271661222691532695232500091297202176 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 x #s(literal 295000000000000004135079607437852211889638948851247878850623079601307778667042646329900466191468805033990112035217604608 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y))))) |
(if (<=.f64 x #s(literal -679999999999999985708825964750440670365468287365268329562932573105567895738054559938472517760649237713674669591776126434213421271661222691532695232500091297202176 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))) (if (<=.f64 x #s(literal 295000000000000004135079607437852211889638948851247878850623079601307778667042646329900466191468805033990112035217604608 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z))))) |
(if (<=.f64 y #s(literal 349999999999999989018643932353271763280333925111648739263550478404999996736516759110603558435118836382949171724193167634425762871179839799296 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))) |
#s(approx (/ (+ x (* y (- z x))) z) (+.f64 #s(approx (* (/ (- 1 y) z) x) (/.f64 x z)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| 12 372× | lower-fma.f64 |
| 12 372× | lower-fma.f32 |
| 7 428× | lower-fma.f64 |
| 7 428× | lower-fma.f32 |
| 6 836× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 4110 |
| 1 | 474 | 3552 |
| 2 | 1435 | 3552 |
| 3 | 4115 | 3552 |
| 4 | 6300 | 3552 |
| 0 | 8490 | 3336 |
| 0 | 106 | 1006 |
| 1 | 346 | 742 |
| 2 | 1046 | 742 |
| 3 | 3278 | 742 |
| 4 | 5788 | 742 |
| 5 | 7697 | 742 |
| 0 | 8095 | 688 |
| 0 | 24 | 137 |
| 0 | 37 | 132 |
| 1 | 163 | 132 |
| 2 | 1126 | 132 |
| 0 | 8442 | 132 |
| 0 | 386 | 4994 |
| 1 | 1258 | 4443 |
| 2 | 4455 | 4416 |
| 0 | 8278 | 4227 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 266 to 160 computations (39.8% saved)
Compiled 376 to 140 computations (62.8% saved)
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