
Time bar (total: 8.7s)
| 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)
| 639.0ms | 8 256× | 0 | valid |
ival-div: 281.0ms (63.4% of total)ival-mult: 59.0ms (13.3% of total)ival-sub: 52.0ms (11.7% of total)ival-add: 41.0ms (9.2% of total)ival-true: 7.0ms (1.6% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 25 | 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 | 25 | 0 |
| ↳ | (+.f64 x (*.f64 y (-.f64 z x))) | overflow | 52 | |
| ↳ | (*.f64 y (-.f64 z x)) | overflow | 52 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 25 | 0 |
| - | 0 | 231 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 25 | 0 | 0 |
| - | 0 | 0 | 231 |
| number | freq |
|---|---|
| 0 | 231 |
| 1 | 25 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 30.0ms | 512× | 0 | valid |
Compiled 67 to 25 computations (62.7% saved)
ival-div: 4.0ms (26% of total)ival-add: 4.0ms (26% of total)ival-sub: 3.0ms (19.5% of total)ival-mult: 3.0ms (19.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 8 344× | lower-fma.f64 |
| 8 344× | lower-fma.f32 |
| 2 504× | lower-*.f32 |
| 2 502× | lower-*.f64 |
| 1 716× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 94 |
| 1 | 80 | 84 |
| 2 | 199 | 81 |
| 3 | 727 | 81 |
| 4 | 2078 | 81 |
| 5 | 4862 | 81 |
| 6 | 6285 | 81 |
| 7 | 6828 | 81 |
| 8 | 7073 | 81 |
| 9 | 7124 | 81 |
| 10 | 7128 | 81 |
| 11 | 7262 | 81 |
| 12 | 7598 | 81 |
| 13 | 7712 | 81 |
| 14 | 7758 | 81 |
| 15 | 7772 | 81 |
| 16 | 7784 | 81 |
| 17 | 7786 | 81 |
| 18 | 7786 | 81 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 15 | 9 |
| 2 | 26 | 9 |
| 3 | 50 | 9 |
| 4 | 86 | 9 |
| 5 | 135 | 9 |
| 6 | 239 | 9 |
| 7 | 484 | 9 |
| 8 | 1326 | 9 |
| 9 | 2849 | 9 |
| 10 | 3795 | 9 |
| 11 | 4257 | 9 |
| 12 | 4520 | 9 |
| 13 | 4651 | 9 |
| 14 | 4666 | 9 |
| 15 | 6168 | 9 |
| 16 | 6644 | 9 |
| 17 | 6908 | 9 |
| 18 | 7050 | 9 |
| 19 | 7172 | 9 |
| 20 | 7172 | 9 |
| 21 | 7449 | 9 |
| 22 | 7555 | 9 |
| 23 | 7555 | 9 |
| 24 | 7695 | 9 |
| 0 | 8143 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Outputs |
|---|
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.7% | (/.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 | 0.00390625 | (+.f64 x (*.f64 y (-.f64 z x))) | |
| accuracy | 0.0078125 | (*.f64 y (-.f64 z x)) | |
| accuracy | 5.918909414328985 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 37.0ms | 256× | 0 | valid |
Compiled 29 to 9 computations (69% saved)
ival-add: 16.0ms (54.2% of total)ival-sub: 10.0ms (33.9% of total)ival-div: 2.0ms (6.8% of total)ival-mult: 2.0ms (6.8% 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 |
|---|
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Compiled 10 620 to 1 334 computations (87.4% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 488 | 10 | 498 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 489 | 10 | 499 |
| Status | Accuracy | Program |
|---|---|---|
| 70.4% | (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) | |
| ▶ | 54.5% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) |
| 63.9% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) | |
| 28.8% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) | |
| 90.5% | (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y x))) | |
| 57.3% | (*.f64 (fma.f64 (-.f64 z x) y x) (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (*.f64 (-.f64 x (*.f64 (-.f64 z x) y)) z))) | |
| ▶ | 90.6% | (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) |
| ▶ | 95.5% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
| ▶ | 43.7% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| ▶ | 63.4% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
Compiled 192 to 152 computations (20.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (-.f64 z x) y x) | |
| cost-diff | 0 | (neg.f64 (fma.f64 (-.f64 z x) y x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) | |
| 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 (-.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)) |
| 6 200× | lower-fma.f32 |
| 6 196× | lower-fma.f64 |
| 1 640× | lower-*.f32 |
| 1 634× | lower-*.f64 |
| 1 182× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 165 |
| 0 | 37 | 157 |
| 1 | 63 | 157 |
| 2 | 131 | 157 |
| 3 | 420 | 157 |
| 4 | 1176 | 157 |
| 5 | 2927 | 157 |
| 6 | 4902 | 157 |
| 7 | 5446 | 157 |
| 8 | 5798 | 157 |
| 9 | 6040 | 157 |
| 10 | 6221 | 157 |
| 11 | 6337 | 157 |
| 12 | 6409 | 157 |
| 13 | 6981 | 157 |
| 14 | 7891 | 157 |
| 0 | 8049 | 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 #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 |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(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 y (-.f64 z x) x) z)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/.f64 (fma.f64 y (-.f64 z x) 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 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 y (-.f64 z x))) z) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) |
#s(approx (+ x (* y (- z x))) (*.f64 y (-.f64 z x))) |
(*.f64 (-.f64 z x) y) |
(*.f64 y (-.f64 z x)) |
(-.f64 z x) |
z |
x |
y |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) |
(/.f64 (fma.f64 y (-.f64 z x) x) z) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(neg.f64 (fma.f64 y (-.f64 z x) x)) |
(fma.f64 (-.f64 z x) y x) |
(fma.f64 y (-.f64 z x) x) |
(-.f64 z x) |
x |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 z x) | |
| accuracy | 0 | (neg.f64 (fma.f64 (-.f64 z x) y x)) | |
| accuracy | 0.00390625 | (fma.f64 (-.f64 z x) y x) | |
| accuracy | 6.000940664328985 | (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) | |
| accuracy | 0 | (-.f64 z x) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 z x) y) | |
| accuracy | 5.918909414328985 | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) | |
| accuracy | 24.059126483298975 | #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.015625 | (/.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| accuracy | 2.941839093277944 | (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) | |
| accuracy | 21.794672149418574 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 36.05148252102053 | #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 | 0.015625 | (/.f64 (-.f64 #s(literal 1 binary64) y) z) | |
| accuracy | 2.866998493984786 | (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
| 44.0ms | 256× | 0 | valid |
Compiled 138 to 21 computations (84.8% saved)
ival-mult: 12.0ms (41.1% of total)ival-div: 7.0ms (24% of total)ival-sub: 5.0ms (17.1% of total)ival-add: 3.0ms (10.3% of total)ival-neg: 1.0ms (3.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (+ x (* y (- 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 #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>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ()) |
#s(alt (neg.f64 (fma.f64 (-.f64 z x) y x)) (patch (neg.f64 (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>) () ()) |
| Outputs |
|---|
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) (patch (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 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 x z)) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (patch #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 z) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt #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>) () ())) ()) |
#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 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 (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#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 (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#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 (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#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 (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#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 (+ x (* -1 (* x y))) (taylor 0 z) (#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 (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#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 (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#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 (+ x (+ (* -1 (* x y)) (* y z))) (taylor 0 z) (#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 0 z) (#s(alt (*.f64 (-.f64 z x) y) (patch (*.f64 (-.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (-.f64 z x) y) (patch (*.f64 (-.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (-.f64 z x) y) (patch (*.f64 (-.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x y)) (* y z)) (taylor 0 z) (#s(alt (*.f64 (-.f64 z x) y) (patch (*.f64 (-.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (- z x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (- z x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (- z x) (taylor 0 z) (#s(alt (-.f64 z x) (patch (-.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- 1 y))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (-.f64 z x) y x)) (patch (neg.f64 (fma.f64 (-.f64 z x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ 1 (/ (* y z) x)) y))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (-.f64 z x) y x)) (patch (neg.f64 (fma.f64 (-.f64 z x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ 1 (/ (* y z) x)) y))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (-.f64 z x) y x)) (patch (neg.f64 (fma.f64 (-.f64 z x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ 1 (/ (* y z) x)) y))) (taylor -inf x) (#s(alt (neg.f64 (fma.f64 (-.f64 z x) y x)) (patch (neg.f64 (fma.f64 (-.f64 z x) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 z x) y x) (patch (fma.f64 (-.f64 z x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 z x) y x) (patch (fma.f64 (-.f64 z x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 z x) y x) (patch (fma.f64 (-.f64 z x) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 z x) y x) (patch (fma.f64 (-.f64 z x) y x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | 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))) (* (- z x) y) (- z x) (* (/ -1 z) (neg (+ (* (- z x) y) x))) (/ -1 z) (neg (+ (* (- z x) y) x)) (+ (* (- z x) y) x)) |
| 4.0ms | x | @ | -inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- z x) y) (- z x) (* (/ -1 z) (neg (+ (* (- z x) y) x))) (/ -1 z) (neg (+ (* (- z x) y) x)) (+ (* (- z x) y) 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))) (* (- z x) y) (- z x) (* (/ -1 z) (neg (+ (* (- z x) y) x))) (/ -1 z) (neg (+ (* (- z x) y) x)) (+ (* (- z x) y) x)) |
| 2.0ms | 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))) (* (- z x) y) (- z x) (* (/ -1 z) (neg (+ (* (- z x) y) x))) (/ -1 z) (neg (+ (* (- z x) y) x)) (+ (* (- z x) y) x)) |
| 2.0ms | 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))) (* (- z x) y) (- z x) (* (/ -1 z) (neg (+ (* (- z x) y) x))) (/ -1 z) (neg (+ (* (- z x) y) x)) (+ (* (- z x) y) x)) |
| 1× | egg-herbie |
| 7 300× | lower-fma.f64 |
| 7 300× | lower-fma.f32 |
| 2 596× | lower-*.f64 |
| 2 596× | lower-*.f32 |
| 1 496× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 4037 |
| 1 | 590 | 3143 |
| 2 | 1695 | 3116 |
| 3 | 4516 | 3116 |
| 4 | 6977 | 3116 |
| 0 | 8182 | 2900 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (* x (- 1 y)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(+ 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) |
(/ (+ 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 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(* -1 (+ x (* -1 (* x y)))) |
(- (* -1 (* y z)) (+ x (* -1 (* x y)))) |
(- (* -1 (* y z)) (+ x (* -1 (* x y)))) |
(- (* -1 (* y z)) (+ x (* -1 (* x y)))) |
(+ x (* -1 (* x y))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(+ x (+ (* -1 (* x y)) (* 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)) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(* y 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 (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(* -1 (* y z)) |
(* z (- (* -1 (/ (+ x (* -1 (* x y))) z)) y)) |
(* z (- (* -1 (/ (+ x (* -1 (* x y))) z)) y)) |
(* z (- (* -1 (/ (+ x (* -1 (* x y))) z)) y)) |
(* 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 |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* x (- 1 y)) z)) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(* y 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))) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(* -1 (* y z)) |
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (/ x z)) (* -1 y)))) |
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (/ x z)) (* -1 y)))) |
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (/ x z)) (* -1 y)))) |
(* 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))))) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(/ x z) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(/ 1 z) |
(+ (* -1 (/ y z)) (/ 1 z)) |
(+ (* -1 (/ y z)) (/ 1 z)) |
(+ (* -1 (/ y z)) (/ 1 z)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(/ x z) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
x |
(+ x (* y (- z x))) |
(+ x (* y (- z x))) |
(+ x (* y (- z x))) |
(* y (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(* -1 x) |
(- (* y (- x z)) x) |
(- (* y (- x z)) x) |
(- (* y (- x z)) x) |
x |
(+ x (* y (- z x))) |
(+ x (* y (- z x))) |
(+ x (* y (- z 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 (+ 1 (* -1 (/ x z)))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* -1 (/ y z)) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* -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)))) |
(/ (* 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)) z)) |
(* y (+ (* -1 (/ (- x z) z)) (/ x (* y z)))) |
(* y (+ (* -1 (/ (- x z) z)) (/ x (* y z)))) |
(* y (+ (* -1 (/ (- x z) z)) (/ x (* y z)))) |
(* y (- x z)) |
(* y (- (+ x (* -1 (/ x y))) z)) |
(* y (- (+ x (* -1 (/ x y))) z)) |
(* y (- (+ x (* -1 (/ x y))) z)) |
(* y (- z x)) |
(* y (- (+ z (/ x y)) x)) |
(* y (- (+ z (/ x y)) x)) |
(* y (- (+ z (/ x y)) x)) |
(/ (* y (- z x)) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (- (/ x z) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (/ y z)) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(/ (* y (- z x)) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(/ (* y (- z x)) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -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)))) |
(/ (* 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 (- 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 (- z x))) |
(* -1 (* y (- (/ x y) (* -1 (- z x))))) |
(* -1 (* y (- (/ x y) (* -1 (- z x))))) |
(* -1 (* y (- (/ x y) (* -1 (- 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 |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
y |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(/ (* 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 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)) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(* -1 (* y z)) |
(- (* -1 (* x (+ 1 (* -1 y)))) (* y z)) |
(- (* -1 (* x (+ 1 (* -1 y)))) (* y z)) |
(- (* -1 (* x (+ 1 (* -1 y)))) (* y z)) |
(* y z) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (- (/ 1 z) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(/ (* x (- 1 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 (* -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 (* -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 (+ 1 (* -1 y)))) |
(* x (- (* -1 (/ (* y z) x)) (+ 1 (* -1 y)))) |
(* x (- (* -1 (/ (* y z) x)) (+ 1 (* -1 y)))) |
(* x (- (* -1 (/ (* y z) x)) (+ 1 (* -1 y)))) |
(* 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 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) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(* -1 (* x (+ 1 (* -1 (/ z x))))) |
(/ (* 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 (- 1 y))) |
(* -1 (* x (- (+ 1 (/ (* y z) x)) y))) |
(* -1 (* x (- (+ 1 (/ (* y z) x)) y))) |
(* -1 (* x (- (+ 1 (/ (* y z) x)) y))) |
(* -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))) |
| Outputs |
|---|
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (* x (- 1 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 (* -1 (* x y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* x 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) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(* -1 (+ x (* -1 (* x y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(- (* -1 (* y z)) (+ x (* -1 (* x y)))) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(- (* -1 (* y z)) (+ x (* -1 (* x y)))) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(- (* -1 (* y z)) (+ x (* -1 (* x y)))) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (/ (* x (- 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (/ (* x (- 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (* 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)) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* y z) |
(*.f64 z y) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(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))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* z (- (* -1 (/ (+ x (* -1 (* x y))) z)) y)) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(* z (- (* -1 (/ (+ x (* -1 (* x y))) z)) y)) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(* z (- (* -1 (/ (+ x (* -1 (* x y))) z)) y)) |
(neg.f64 (fma.f64 (-.f64 z x) y 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))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (/ (* x (- 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (/ (* x (- 1 y)) z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
(/ (- 1 y) z) |
(/.f64 (-.f64 #s(literal 1 binary64) y) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (* 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)) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* y z) |
(*.f64 z y) |
(* -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))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (/ x z)) (* -1 y)))) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (/ x z)) (* -1 y)))) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(* -1 (* z (- (+ (* -1 (/ (* x y) z)) (/ x z)) (* -1 y)))) |
(neg.f64 (fma.f64 (-.f64 z x) y 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) |
(/ x z) |
(/.f64 x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
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(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (+ 1 (* -1 y))) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* x (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (-.f64 z x) y x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (-.f64 z x) y x) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(*.f64 (-.f64 z x) y) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(*.f64 (-.f64 z x) y) |
(* x (+ (* -1 y) (/ (* y z) x))) |
(*.f64 (-.f64 z x) y) |
(* -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)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* -1 (* x (+ 1 (* -1 y)))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* x (- (* -1 (/ (* y z) x)) (+ 1 (* -1 y)))) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(* x (- (* -1 (/ (* y z) x)) (+ 1 (* -1 y)))) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(* x (- (* -1 (/ (* y z) x)) (+ 1 (* -1 y)))) |
(neg.f64 (fma.f64 (-.f64 z x) y 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) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 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) |
(* -1 (/ (* x (- y 1)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(/ (* x (- 1 y)) 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)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* -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) |
(/ (* x (- 1 y)) z) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(/.f64 (fma.f64 (-.f64 z x) y x) z) |
(* -1 (* x (- 1 y))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) x) |
(* -1 (* x (- (+ 1 (/ (* y z) x)) y))) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(* -1 (* x (- (+ 1 (/ (* y z) x)) y))) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(* -1 (* x (- (+ 1 (/ (* y z) x)) y))) |
(neg.f64 (fma.f64 (-.f64 z x) y 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) |
| 9 036× | lower-fma.f32 |
| 9 032× | lower-fma.f64 |
| 5 282× | lower-*.f32 |
| 5 276× | lower-*.f64 |
| 3 274× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 137 |
| 0 | 37 | 132 |
| 1 | 151 | 129 |
| 2 | 1047 | 129 |
| 0 | 8436 | 129 |
| 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 #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) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (fma.f64 (-.f64 z x) y x))) |
(/.f64 #s(literal -1 binary64) z) |
(neg.f64 (fma.f64 (-.f64 z x) y x)) |
(fma.f64 (-.f64 z x) y x) |
| Outputs |
|---|
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Compiled 28 956 to 3 519 computations (87.8% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 720 | 7 | 1 727 |
| Fresh | 2 | 3 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 724 | 13 | 1 737 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.4% | (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) |
| ✓ | 54.5% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) |
| 63.9% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) | |
| 28.5% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- z x) (neg.f64 x)) y)) z) | |
| 28.8% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) | |
| 63.8% | (*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (neg (+ (* (- z x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))) | |
| ▶ | 77.3% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
| 65.8% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) | |
| ✓ | 43.7% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| ▶ | 65.2% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) |
| ✓ | 63.4% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
| ▶ | 28.1% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
| ▶ | 43.6% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
Compiled 178 to 176 computations (1.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 z x) | |
| cost-diff | 0 | (/.f64 (-.f64 z x) z) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 z x) z) y) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) | |
| 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 | (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) | |
| 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 | #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)) |
| 6 032× | lower-fma.f32 |
| 6 030× | lower-fma.f64 |
| 2 592× | lower-*.f32 |
| 2 584× | lower-*.f64 |
| 2 104× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 212 |
| 0 | 40 | 212 |
| 1 | 65 | 212 |
| 2 | 88 | 212 |
| 3 | 129 | 212 |
| 4 | 199 | 212 |
| 5 | 394 | 212 |
| 6 | 766 | 212 |
| 7 | 2031 | 212 |
| 8 | 3786 | 212 |
| 9 | 5027 | 212 |
| 10 | 5658 | 212 |
| 11 | 5760 | 212 |
| 12 | 5781 | 212 |
| 13 | 5792 | 212 |
| 14 | 6100 | 212 |
| 15 | 6220 | 212 |
| 16 | 6220 | 212 |
| 17 | 6220 | 212 |
| 18 | 7523 | 212 |
| 0 | 8370 | 208 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 #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) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) |
(/.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 (-.f64 z x) z) y)) |
(*.f64 (/.f64 (-.f64 z x) z) y) |
(/.f64 (-.f64 z x) z) |
(-.f64 z x) |
z |
x |
y |
(/.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 |
| Outputs |
|---|
#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 #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) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 y)))) |
(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) |
(*.f64 (/.f64 x z) #s(approx (- 1 y) (neg.f64 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 (-.f64 z x) z) y)) |
(*.f64 (/.f64 (-.f64 z x) z) y) |
(/.f64 (-.f64 z x) z) |
(-.f64 z x) |
z |
x |
y |
(/.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 |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.00390625 | (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) | |
| accuracy | 5.918909414328985 | (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) | |
| accuracy | 35.30545552497783 | #s(approx (* y (- z x)) (*.f64 z y)) | |
| accuracy | 0 | (-.f64 z x) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 z x) z) | |
| accuracy | 1.9990621553426013 | (*.f64 (/.f64 (-.f64 z x) z) y) | |
| accuracy | 23.20171033532109 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) | |
| accuracy | 0.015625 | (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) | |
| accuracy | 2.941839093277944 | (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) | |
| accuracy | 21.794672149418574 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) | |
| accuracy | 32.24019290885029 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0.015625 | (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) | |
| accuracy | 2.941839093277944 | (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x) | |
| accuracy | 21.794672149418574 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) | |
| accuracy | 30.525050641653927 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| accuracy | 0 | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) | |
| accuracy | 0.015625 | (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) | |
| accuracy | 2.866998493984786 | (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) | |
| accuracy | 30.525050641653927 | #s(approx (- 1 y) #s(literal 1 binary64)) |
| 51.0ms | 256× | 0 | valid |
Compiled 142 to 18 computations (87.3% saved)
ival-add: 13.0ms (38.9% of total)ival-div: 9.0ms (26.9% of total)ival-mult: 8.0ms (23.9% of total)ival-sub: 3.0ms (9% of total)ival-neg: 1.0ms (3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) (patch (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) (patch (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 y) #s(literal 1 binary64)) (patch #s(approx (- 1 y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ 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 #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) #<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 #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (-.f64 z x) z) y) (patch (*.f64 (/.f64 (-.f64 z x) z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 z x) z) (patch (/.f64 (-.f64 z x) z) #<representation binary64>) () ()) |
#s(alt (-.f64 z x) (patch (-.f64 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>) () ()) |
| Outputs |
|---|
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#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.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>) () ())) ()) |
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#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -1 (* x y)) (* y z)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 z x) z) y) (patch (*.f64 (/.f64 (-.f64 z x) z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x y)) (* y z)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 z x) z) y) (patch (*.f64 (/.f64 (-.f64 z x) z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x y)) (* y z)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (-.f64 z x) z) y) (patch (*.f64 (/.f64 (-.f64 z x) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 z) (#s(alt (/.f64 (-.f64 z x) z) (patch (/.f64 (-.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (* -1 x)) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 z x) z) (patch (/.f64 (-.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (* -1 x)) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 z x) z) (patch (/.f64 (-.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (* -1 x)) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 z x) z) (patch (/.f64 (-.f64 z x) z) #<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>) () ())) ()) |
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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 #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 (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#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 (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#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 -inf x) (#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 -inf x) (#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 -inf x) (#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 -inf x) (#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 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) #<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 #s(approx (- 1 y) (neg.f64 y)) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) #<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 #s(approx (- 1 y) (neg.f64 y)) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) #<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 #s(approx (- 1 y) (neg.f64 y)) z) x)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) (patch (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) 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 (-.f64 z x) z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) 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 (-.f64 z x) z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) 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 (-.f64 z x) z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 z x) z) y) (patch (*.f64 (/.f64 (-.f64 z x) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 z x) z) y) (patch (*.f64 (/.f64 (-.f64 z x) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 z x) z) y) (patch (*.f64 (/.f64 (-.f64 z x) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 z x) z) y) (patch (*.f64 (/.f64 (-.f64 z x) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (-.f64 z x) z) (patch (/.f64 (-.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 z x) z) (patch (/.f64 (-.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 z x) z) (patch (/.f64 (-.f64 z x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 z x) z) (patch (/.f64 (-.f64 z x) z) #<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>) () ())) ()) |
#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) (patch (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) (patch (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) (patch (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) (patch (/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) (patch (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (* y (- z x)) (*.f64 z y)) (patch #s(approx (* y (- z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* y (- z x)) (*.f64 z y)) (patch #s(approx (* y (- z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* y (- z x)) (*.f64 z y)) (patch #s(approx (* y (- z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* y (- z x)) (*.f64 z y)) (patch #s(approx (* y (- z x)) (*.f64 z y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* z y)) |
| 2.0ms | z | @ | -inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* z y)) |
| 2.0ms | y | @ | -inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* z y)) |
| 1.0ms | z | @ | 0 | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* z y)) |
| 1.0ms | y | @ | inf | ((/ (+ x (* y (- z x))) z) (+ (* (/ (- 1 y) z) x) y) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (+ x (* y (- z x))) z) (* (/ (- 1 y) z) x) (/ (- 1 y) z) (- 1 y) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* y (- z x)) (* z y)) |
| 1× | egg-herbie |
| 7 800× | lower-fma.f64 |
| 7 800× | lower-fma.f32 |
| 2 774× | lower-*.f64 |
| 2 774× | lower-*.f32 |
| 1 654× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 160 | 4234 |
| 1 | 508 | 3358 |
| 2 | 1521 | 3358 |
| 3 | 4205 | 3358 |
| 4 | 6562 | 3358 |
| 0 | 8247 | 3169 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (* x (- 1 y)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (* 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) |
(* -1 (/ (* x y) z)) |
(/ (+ (* -1 (* x y)) (* y z)) z) |
(/ (+ (* -1 (* x y)) (* y z)) z) |
(/ (+ (* -1 (* x y)) (* y z)) z) |
(* -1 (/ x z)) |
(/ (+ z (* -1 x)) z) |
(/ (+ z (* -1 x)) z) |
(/ (+ z (* -1 x)) z) |
(* -1 x) |
(- z x) |
(- z x) |
(- z x) |
(/ (+ 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)) |
(* y z) |
(* y z) |
(* y z) |
(* 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)) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/ (* 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 (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
1 |
(+ 1 (* -1 (/ x z))) |
(+ 1 (* -1 (/ x z))) |
(+ 1 (* -1 (/ x z))) |
z |
(* z (+ 1 (* -1 (/ x z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* z (+ 1 (* -1 (/ 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)))) |
(* y z) |
(* y z) |
(* y z) |
(* 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)) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
(/ (- 1 y) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(/ (* 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 (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
1 |
(+ 1 (* -1 (/ x z))) |
(+ 1 (* -1 (/ x z))) |
(+ 1 (* -1 (/ x z))) |
z |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (* z (- (/ x z) 1))) |
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)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(/ x z) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(/ 1 z) |
(+ (* -1 (/ y z)) (/ 1 z)) |
(+ (* -1 (/ y z)) (/ 1 z)) |
(+ (* -1 (/ y z)) (/ 1 z)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(/ x z) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
(+ (* -1 (/ (* x y) z)) (/ x z)) |
(/ 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)) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
x |
(+ x (* y (- z x))) |
(+ x (* y (- z x))) |
(+ x (* y (- z x))) |
(* y (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
(* y z) |
(* y z) |
(* y z) |
(* 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))) |
(* y (+ 1 (* -1 (/ x z)))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* -1 (/ y z)) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* y (- (/ 1 (* y z)) (/ 1 z))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* -1 (/ (* x y) z)) |
(* y (+ (* -1 (/ x z)) (/ x (* y z)))) |
(* y (+ (* -1 (/ x z)) (/ x (* y z)))) |
(* y (+ (* -1 (/ x z)) (/ x (* y z)))) |
(/ (* 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 (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- z x)) |
(* y (- (+ z (/ x y)) x)) |
(* y (- (+ z (/ x y)) x)) |
(* y (- (+ z (/ x y)) x)) |
(* y (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* y (- z x)) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (- (/ x z) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (/ y z)) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 (* y (- (/ 1 z) (/ 1 (* y z))))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(/ (* y (- z x)) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (/ (* x y) z)) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z)))) |
(/ (* 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))))) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* y (- z x)) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* y (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
(* y (- z x)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
y |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
y |
(+ 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 (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
1 |
(+ 1 (* -1 (/ x z))) |
(+ 1 (* -1 (/ x z))) |
(+ 1 (* -1 (/ x z))) |
z |
(+ z (* -1 x)) |
(+ z (* -1 x)) |
(+ z (* -1 x)) |
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)) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (- (/ 1 z) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(* x (- (+ (/ 1 z) (/ y x)) (/ y z))) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* -1 (/ (* x y) z)) |
(* x (+ (* -1 (/ y z)) (/ y x))) |
(* x (+ (* -1 (/ y z)) (/ y x))) |
(* x (+ (* -1 (/ y z)) (/ y x))) |
(* -1 (/ x z)) |
(* x (- (/ 1 x) (/ 1 z))) |
(* x (- (/ 1 x) (/ 1 z))) |
(* x (- (/ 1 x) (/ 1 z))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* x (- (/ z x) 1)) |
(* x (- (/ z x) 1)) |
(/ (* 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 (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(/ (* x (- 1 y)) z) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(/ (* x (- 1 y)) z) |
(* -1 (/ (* x (- y 1)) z)) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(* -1 (/ (* x y) z)) |
(* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) |
(* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) |
(* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) |
(* -1 (/ x z)) |
(* -1 (* x (- (/ 1 z) (/ 1 x)))) |
(* -1 (* x (- (/ 1 z) (/ 1 x)))) |
(* -1 (* x (- (/ 1 z) (/ 1 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)))) |
(* -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))))) |
| 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) |
(/ (- 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)) |
(/ (+ 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) |
(* -1 (/ (* x y) z)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(/ (+ (* -1 (* x y)) (* y z)) z) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(/ (+ (* -1 (* x y)) (* y z)) z) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(/ (+ (* -1 (* x y)) (* y z)) z) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(/ (+ z (* -1 x)) z) |
(/.f64 (-.f64 z x) z) |
(/ (+ z (* -1 x)) z) |
(/.f64 (-.f64 z x) z) |
(/ (+ z (* -1 x)) z) |
(/.f64 (-.f64 z x) z) |
(* -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 (* 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) |
(* 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 |
(+ 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) |
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(* -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) z)) |
(*.f64 (neg.f64 x) (/.f64 y z)) |
(* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) |
(-.f64 y (/.f64 (*.f64 y x) z)) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (* x (- (/ 1 z) (/ 1 x)))) |
(/.f64 (-.f64 z x) z) |
(* -1 (* x (- (/ 1 z) (/ 1 x)))) |
(/.f64 (-.f64 z x) z) |
(* -1 (* x (- (/ 1 z) (/ 1 x)))) |
(/.f64 (-.f64 z x) z) |
(* -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) |
(* -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) |
| 4 306× | lower-/.f32 |
| 4 298× | lower-/.f64 |
| 4 230× | lower-*.f32 |
| 4 222× | lower-*.f64 |
| 3 478× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 182 |
| 0 | 40 | 182 |
| 1 | 147 | 182 |
| 2 | 983 | 182 |
| 0 | 8537 | 178 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
(fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y) |
(/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(approx (/ (+ 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) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
(*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x) |
(/.f64 #s(approx (- 1 y) (neg.f64 y)) z) |
#s(approx (- 1 y) (neg.f64 y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) |
(*.f64 (/.f64 (-.f64 z x) z) y) |
(/.f64 (-.f64 z x) z) |
(-.f64 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) |
| Outputs |
|---|
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Compiled 14 372 to 1 817 computations (87.4% saved)
14 alts after pruning (7 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 056 | 4 | 1 060 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 059 | 14 | 1 073 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.5% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) |
| ▶ | 63.9% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
| ▶ | 28.8% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
| ✓ | 77.3% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
| ▶ | 77.4% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
| 65.8% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) | |
| 31.6% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 z x))) | |
| ✓ | 43.7% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| ✓ | 65.2% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) |
| ✓ | 63.4% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
| ▶ | 32.0% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) |
| ✓ | 28.1% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
| ✓ | 43.6% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
| ▶ | 35.9% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) |
Compiled 153 to 157 computations (-2.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| cost-diff | 0 | #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) | |
| cost-diff | 0 | #s(approx (- z x) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- z x) (neg.f64 x)) z) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) | |
| 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 | #s(approx (/ (- z x) z) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #s(approx (- 1 y) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) | |
| cost-diff | 0 | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
| 8 816× | lower-fma.f32 |
| 8 814× | lower-fma.f64 |
| 2 848× | lower-*.f32 |
| 2 840× | lower-*.f64 |
| 2 070× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 197 |
| 0 | 41 | 197 |
| 1 | 63 | 197 |
| 2 | 91 | 197 |
| 3 | 138 | 197 |
| 4 | 241 | 197 |
| 5 | 351 | 197 |
| 6 | 595 | 197 |
| 7 | 1291 | 197 |
| 8 | 2989 | 197 |
| 9 | 3866 | 197 |
| 10 | 4277 | 197 |
| 11 | 4558 | 197 |
| 12 | 4614 | 197 |
| 13 | 4658 | 197 |
| 14 | 5372 | 197 |
| 15 | 5544 | 197 |
| 16 | 5596 | 197 |
| 17 | 5700 | 197 |
| 18 | 5752 | 197 |
| 19 | 5804 | 197 |
| 20 | 6076 | 197 |
| 21 | 6104 | 197 |
| 22 | 6160 | 197 |
| 23 | 6160 | 197 |
| 24 | 7841 | 197 |
| 0 | 8192 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
(fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 x z) |
x |
z |
y |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) |
#s(approx (/ (- z x) z) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
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 |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) |
(*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) |
(/.f64 #s(approx (- z x) (neg.f64 x)) z) |
#s(approx (- z x) (neg.f64 x)) |
(neg.f64 x) |
x |
z |
y |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
z |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y)) |
(fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) |
(fma.f64 (/.f64 x z) #s(approx (- 1 y) #s(literal 1 binary64)) y) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 x z) |
x |
z |
y |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) |
#s(approx (/ (- z x) z) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
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 |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 y z) #s(approx (- z x) (neg.f64 x)))) |
(*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) |
(*.f64 (/.f64 y z) #s(approx (- z x) (neg.f64 x))) |
(/.f64 #s(approx (- z x) (neg.f64 x)) z) |
#s(approx (- z x) (neg.f64 x)) |
(neg.f64 x) |
x |
z |
y |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| accuracy | 5.918909414328985 | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) | |
| accuracy | 21.591089895099845 | #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) | |
| accuracy | 0.0078125 | (/.f64 #s(approx (- z x) (neg.f64 x)) z) | |
| accuracy | 1.9990621553426013 | (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) | |
| accuracy | 23.20171033532109 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) | |
| accuracy | 26.15985234144479 | #s(approx (- z x) (neg.f64 x)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 5.918909414328985 | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) | |
| accuracy | 40.32040810087395 | #s(approx (+ x (* y (- z x))) (*.f64 z y)) | |
| accuracy | 1.9990621553426013 | (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) | |
| accuracy | 23.20171033532109 | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) | |
| accuracy | 36.64119477954084 | #s(approx (/ (- z x) z) #s(literal 1 binary64)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) | |
| accuracy | 0.0390625 | (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) | |
| accuracy | 30.525050641653927 | #s(approx (- 1 y) #s(literal 1 binary64)) |
| 42.0ms | 256× | 0 | valid |
Compiled 131 to 19 computations (85.5% saved)
ival-add: 9.0ms (32.3% of total)ival-mult: 9.0ms (32.3% of total)ival-div: 5.0ms (17.9% of total)ival-sub: 3.0ms (10.8% of total)ival-neg: 1.0ms (3.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) (patch (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) #<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 (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- z x) z) #s(literal 1 binary64)) (patch #s(approx (/ (- z x) z) #s(literal 1 binary64)) #<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 #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) (patch (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- z x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- z x) (neg.f64 x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- z x) (neg.f64 x)) (patch #s(approx (- z x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (+ x (* -1 (* x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.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) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.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) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.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) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor 0 z) (#s(alt (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) (patch (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) (patch (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) (patch (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* x (- 1 y)) (* y z)) z) (taylor 0 z) (#s(alt (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) (patch (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) #<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 #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #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 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #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 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #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 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x y)) (* y z)) z) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x y)) (* y z)) z) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x y)) (* y z)) z) (taylor 0 z) (#s(alt (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 z) (#s(alt #s(approx (/ (- z x) z) #s(literal 1 binary64)) (patch #s(approx (/ (- z x) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (* -1 x)) z) (taylor 0 z) (#s(alt #s(approx (/ (- z x) z) #s(literal 1 binary64)) (patch #s(approx (/ (- z x) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (* -1 x)) z) (taylor 0 z) (#s(alt #s(approx (/ (- z x) z) #s(literal 1 binary64)) (patch #s(approx (/ (- z x) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (* -1 x)) z) (taylor 0 z) (#s(alt #s(approx (/ (- z x) z) #s(literal 1 binary64)) (patch #s(approx (/ (- z x) z) #s(literal 1 binary64)) #<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 #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.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 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.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 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.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 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) (patch (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x y)) (* y z)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) (patch (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x y)) (* y z)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) (patch (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* x y)) (* y z)) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) (patch (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor 0 z) (#s(alt (/.f64 #s(approx (- z x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- z x) (neg.f64 x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (* -1 x)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (- z x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- z x) (neg.f64 x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (* -1 x)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (- z x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- z x) (neg.f64 x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (* -1 x)) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (- z x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- z x) (neg.f64 x)) z) #<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 (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z) (taylor 0 z) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- 1 y)) z) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) (patch (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) (patch (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) (patch (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) (patch (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) 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 #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #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 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #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 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #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 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt #s(approx (/ (- z x) z) #s(literal 1 binary64)) (patch #s(approx (/ (- z x) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- z x) z) #s(literal 1 binary64)) (patch #s(approx (/ (- z x) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- z x) z) #s(literal 1 binary64)) (patch #s(approx (/ (- z x) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (/ (- z x) z) #s(literal 1 binary64)) (patch #s(approx (/ (- z x) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#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 (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#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 (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#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 (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#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 (* -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 #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) 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 #s(approx (- z x) (neg.f64 x)) z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) 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 #s(approx (- z x) (neg.f64 x)) z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) 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 #s(approx (- z x) (neg.f64 x)) z) y)) (patch #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x y) z)) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) (patch (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) (patch (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) (patch (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) (patch (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- z x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- z x) (neg.f64 x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- z x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- z x) (neg.f64 x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- z x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- z x) (neg.f64 x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 z) (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- z x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- z x) (neg.f64 x)) z) #<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>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt #s(approx (- z x) (neg.f64 x)) (patch #s(approx (- z x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt #s(approx (- z x) (neg.f64 x)) (patch #s(approx (- z x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ z x))))) (taylor -inf x) (#s(alt #s(approx (- z x) (neg.f64 x)) (patch #s(approx (- z x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x (- y 1)) z)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) (patch (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) (patch #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (+ x (* y (- z x))) z) (+ (* (- 1 y) (/ x z)) y) (- 1 y) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y)) |
| 2.0ms | z | @ | -inf | ((/ (+ x (* y (- z x))) z) (+ (* (- 1 y) (/ x z)) y) (- 1 y) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y)) |
| 1.0ms | y | @ | -inf | ((/ (+ x (* y (- z x))) z) (+ (* (- 1 y) (/ x z)) y) (- 1 y) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y)) |
| 1.0ms | x | @ | inf | ((/ (+ x (* y (- z x))) z) (+ (* (- 1 y) (/ x z)) y) (- 1 y) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y)) |
| 1.0ms | y | @ | inf | ((/ (+ x (* y (- z x))) z) (+ (* (- 1 y) (/ x z)) y) (- 1 y) (/ x z) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* z y) (/ (+ x (* y (- z x))) z) (* (/ (- z x) z) y) (/ (- z x) z) (- z x) (/ (+ x (* y (- z x))) z) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y)) |
| 1× | egg-herbie |
| 8 868× | lower-fma.f64 |
| 8 868× | lower-fma.f32 |
| 2 874× | lower-*.f64 |
| 2 874× | lower-*.f32 |
| 1 580× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 4118 |
| 1 | 465 | 3209 |
| 2 | 1350 | 3209 |
| 3 | 3890 | 3209 |
| 4 | 6542 | 3209 |
| 0 | 8295 | 2993 |
| 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 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) |
(* -1 (/ (* x y) z)) |
(/ (+ (* -1 (* x y)) (* y z)) z) |
(/ (+ (* -1 (* x y)) (* y z)) z) |
(/ (+ (* -1 (* x y)) (* y z)) z) |
(* -1 (/ x z)) |
(/ (+ z (* -1 x)) z) |
(/ (+ z (* -1 x)) z) |
(/ (+ z (* -1 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))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(* -1 (/ (* x y) z)) |
(/ (+ (* -1 (* x y)) (* y z)) z) |
(/ (+ (* -1 (* x y)) (* y z)) z) |
(/ (+ (* -1 (* x y)) (* y z)) z) |
(* -1 (/ x z)) |
(/ (+ z (* -1 x)) z) |
(/ (+ z (* -1 x)) z) |
(/ (+ z (* -1 x)) z) |
(* -1 x) |
(- z x) |
(- z x) |
(- z x) |
(/ (+ x (* -1 (* x y))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(+ x (* -1 (* x y))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(+ x (+ (* -1 (* x y)) (* y z))) |
y |
(+ 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)) |
(/ 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 |
(+ y (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
1 |
(+ 1 (* -1 (/ x z))) |
(+ 1 (* -1 (/ x z))) |
(+ 1 (* -1 (/ 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) |
(* y z) |
(* y z) |
(* y z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
y |
(+ y (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
1 |
(+ 1 (* -1 (/ x z))) |
(+ 1 (* -1 (/ x z))) |
(+ 1 (* -1 (/ x z))) |
z |
(* z (+ 1 (* -1 (/ x z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
(* z (+ 1 (* -1 (/ x z)))) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(* y z) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
y |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* x (- 1 y)) z)) |
(+ y (/ (* 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 |
(+ y (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
1 |
(+ 1 (* -1 (/ x z))) |
(+ 1 (* -1 (/ x z))) |
(+ 1 (* -1 (/ 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) |
(* y z) |
(* y z) |
(* y z) |
y |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
(+ y (+ (* -1 (/ (* x y) z)) (/ x z))) |
y |
(+ y (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
1 |
(+ 1 (* -1 (/ x z))) |
(+ 1 (* -1 (/ x z))) |
(+ 1 (* -1 (/ x z))) |
z |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (* z (- (/ x z) 1))) |
(* -1 (* z (- (/ x z) 1))) |
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))))) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(/ x z) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z)) |
1 |
(+ 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)) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
x |
(+ x (* y (- z x))) |
(+ x (* y (- z x))) |
(+ x (* y (- z x))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ x z) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
(+ (* y (- 1 (/ x z))) (/ x z)) |
x |
(+ x (* y (- z x))) |
(+ x (* y (- z x))) |
(+ x (* y (- z x))) |
x |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (+ 1 (* -1 (/ x z)))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z))))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- z x)) |
(* y (- (+ z (/ x y)) x)) |
(* y (- (+ z (/ x y)) x)) |
(* y (- (+ z (/ x y)) x)) |
(* y z) |
(* y z) |
(* y z) |
(* 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))) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- (+ 1 (/ x (* y z))) (/ x z))) |
(* y (- z x)) |
(* y (- (+ z (/ x y)) x)) |
(* y (- (+ z (/ x y)) x)) |
(* y (- (+ z (/ x y)) x)) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ x y))) |
(* y (+ (* -1 x) (/ x y))) |
(* y (+ (* -1 x) (/ x y))) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 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 (* y (- (/ x z) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(/ (* y (- z x)) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* y (- z x)) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* y z) |
(* y z) |
(* y z) |
(* 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))))) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(/ (* y (- z x)) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z))))) |
(* y (- z x)) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y))))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
y |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(+ y (* x (- (/ 1 z) (/ y z)))) |
(/ 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 |
(+ y (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
1 |
(+ 1 (* -1 (/ x z))) |
(+ 1 (* -1 (/ x z))) |
(+ 1 (* -1 (/ 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 |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
y |
(+ y (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
(+ y (* -1 (/ (* x y) z))) |
1 |
(+ 1 (* -1 (/ x z))) |
(+ 1 (* -1 (/ x z))) |
(+ 1 (* -1 (/ x z))) |
z |
(+ z (* -1 x)) |
(+ z (* -1 x)) |
(+ z (* -1 x)) |
y |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z)))) |
(* y z) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(+ (* x (+ 1 (* -1 y))) (* y z)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(/ (* 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 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)))) |
(* -1 (/ (* x y) z)) |
(* x (+ (* -1 (/ y z)) (/ y x))) |
(* x (+ (* -1 (/ y z)) (/ y x))) |
(* x (+ (* -1 (/ y z)) (/ y x))) |
(* -1 (/ x z)) |
(* x (- (/ 1 x) (/ 1 z))) |
(* x (- (/ 1 x) (/ 1 z))) |
(* x (- (/ 1 x) (/ 1 z))) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* -1 (/ (* x y) z)) |
(* x (+ (* -1 (/ y z)) (/ y x))) |
(* x (+ (* -1 (/ y z)) (/ y x))) |
(* x (+ (* -1 (/ y z)) (/ y x))) |
(* -1 (/ x z)) |
(* x (- (/ 1 x) (/ 1 z))) |
(* x (- (/ 1 x) (/ 1 z))) |
(* x (- (/ 1 x) (/ 1 z))) |
(* -1 x) |
(* x (- (/ z x) 1)) |
(* x (- (/ z x) 1)) |
(* x (- (/ z x) 1)) |
(/ (* x (+ 1 (* -1 y))) z) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x)))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* x (+ 1 (+ (* -1 y) (/ (* y z) x)))) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* -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 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) z)) |
(* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) |
(* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) |
(* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) |
(* -1 (/ x z)) |
(* -1 (* x (- (/ 1 z) (/ 1 x)))) |
(* -1 (* x (- (/ 1 z) (/ 1 x)))) |
(* -1 (* x (- (/ 1 z) (/ 1 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 (* 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) z)) |
(* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) |
(* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) |
(* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) |
(* -1 (/ x z)) |
(* -1 (* x (- (/ 1 z) (/ 1 x)))) |
(* -1 (* x (- (/ 1 z) (/ 1 x)))) |
(* -1 (* x (- (/ 1 z) (/ 1 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)))) |
(* -1 (* x (- y 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
| Outputs |
|---|
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (* x (- 1 y)) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ (* x (- 1 y)) (* y z)) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (/ (* x y) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(/ (+ (* -1 (* x y)) (* y z)) z) |
(-.f64 y (*.f64 (/.f64 x z) y)) |
(/ (+ (* -1 (* x y)) (* y z)) z) |
(-.f64 y (*.f64 (/.f64 x z) y)) |
(/ (+ (* -1 (* x y)) (* y z)) z) |
(-.f64 y (*.f64 (/.f64 x z) y)) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(/ (+ z (* -1 x)) z) |
(/.f64 (-.f64 z x) z) |
(/ (+ z (* -1 x)) z) |
(/.f64 (-.f64 z x) z) |
(/ (+ z (* -1 x)) z) |
(/.f64 (-.f64 z x) z) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(+ x (* -1 (* x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(+ x (+ (* -1 (* x y)) (* y z))) |
(fma.f64 (-.f64 z x) y x) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(/ (+ x (* -1 (* x y))) z) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x) |
(/ (+ x (+ (* -1 (* x y)) (* y z))) z) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
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(*.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) z)) |
(*.f64 (/.f64 (neg.f64 y) z) x) |
(* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) |
(-.f64 y (*.f64 (/.f64 x z) y)) |
(* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) |
(-.f64 y (*.f64 (/.f64 x z) y)) |
(* -1 (* x (+ (* -1 (/ y x)) (/ y z)))) |
(-.f64 y (*.f64 (/.f64 x z) y)) |
(* -1 (/ x z)) |
(/.f64 (neg.f64 x) z) |
(* -1 (* x (- (/ 1 z) (/ 1 x)))) |
(/.f64 (-.f64 z x) z) |
(* -1 (* x (- (/ 1 z) (/ 1 x)))) |
(/.f64 (-.f64 z x) z) |
(* -1 (* x (- (/ 1 z) (/ 1 x)))) |
(/.f64 (-.f64 z x) z) |
(* -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 (-.f64 #s(literal 1 binary64) y) z) x) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y) |
(* -1 (* x (- y 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (-.f64 z x) y x) |
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1))) |
(fma.f64 (-.f64 z x) y x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(* x (- 1 y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
| 6 256× | lower-fma.f32 |
| 6 254× | lower-fma.f64 |
| 5 406× | lower-*.f32 |
| 5 398× | lower-*.f64 |
| 4 028× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 180 |
| 0 | 41 | 180 |
| 1 | 139 | 180 |
| 2 | 886 | 180 |
| 0 | 8868 | 173 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
(fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y) |
#s(approx (- 1 y) #s(literal 1 binary64)) |
(/.f64 x z) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y) |
#s(approx (/ (- z x) z) #s(literal 1 binary64)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 z y)) |
(*.f64 z y) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) |
(*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y) |
(/.f64 #s(approx (- z x) (neg.f64 x)) z) |
#s(approx (- z x) (neg.f64 x)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
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Compiled 9 274 to 1 166 computations (87.4% saved)
14 alts after pruning (2 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 812 | 0 | 812 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 7 | 7 |
| Total | 812 | 14 | 826 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.5% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) |
| ✓ | 63.9% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
| ✓ | 28.8% | (/.f64 #s(approx (+ x (* y (- z x))) (*.f64 z y)) z) |
| ✓ | 77.3% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
| ✓ | 77.4% | #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
| 65.8% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))) | |
| 31.6% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 z x))) | |
| ✓ | 43.7% | #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
| ✓ | 65.2% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) |
| ✓ | 63.4% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
| ✓ | 32.0% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) |
| ✓ | 28.1% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
| ✓ | 43.6% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x)) |
| ✓ | 35.9% | #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) |
Compiled 293 to 179 computations (38.9% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#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 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) 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))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) |
(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 z x))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) #s(approx (neg (+ (* (- z x) y) x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))) |
#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))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (-.f64 z x) y x))) |
(*.f64 (fma.f64 (-.f64 z x) y x) (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (*.f64 (-.f64 x (*.f64 (-.f64 z x) y)) z))) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.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) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) |
4 calls:
| 42.0ms | z |
| 13.0ms | x |
| 7.0ms | y |
| 6.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.5% | 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 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#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 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) 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))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) |
(/.f64 (+.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) (*.f64 (/.f64 (-.f64 z x) z) y)) |
#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 z x) z) y)) |
3 calls:
| 5.0ms | z |
| 5.0ms | y |
| 5.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | y |
| 95.5% | 1 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 95.5% | 1 | z |
Compiled 11 to 13 computations (-18.2% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#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 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) 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))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) z) |
(/.f64 #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) z) |
(/.f64 (+.f64 x #s(approx (* y (- z x)) (*.f64 z y))) z) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) |
1 calls:
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#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 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) 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))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) |
4 calls:
| 4.0ms | z |
| 4.0ms | y |
| 4.0ms | x |
| 3.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 3 | z |
| 85.4% | 3 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 91.5% | 3 | x |
| 83.2% | 3 | y |
Compiled 12 to 16 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#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 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) |
(/.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 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) |
3 calls:
| 7.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.2% | 3 | y |
| 80.7% | 2 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 80.6% | 3 | x |
Compiled 11 to 13 computations (-18.2% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#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 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x)) |
3 calls:
| 9.0ms | y |
| 3.0ms | z |
| 3.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.3% | 2 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 77.4% | 1 | z |
| 79.7% | 2 | y |
Compiled 11 to 13 computations (-18.2% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#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 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 #s(approx (- 1 y) #s(literal 1 binary64)) z) x y)) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
3 calls:
| 4.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.4% | 1 | x |
| 77.4% | 1 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 77.4% | 1 | y |
Compiled 11 to 13 computations (-18.2% saved)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#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) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) |
#s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) |
4 calls:
| 3.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.9% | 3 | y |
| 58.8% | 3 | z |
| 51.2% | 3 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 63.5% | 3 | x |
Compiled 12 to 16 computations (-33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) |
| Outputs |
|---|
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) |
4 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| 1.0ms | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.9% | 1 | (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) |
| 35.9% | 1 | z |
| 35.9% | 1 | y |
| 35.9% | 1 | x |
Compiled 12 to 16 computations (-33.3% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.504580291761612e-130 | 6.317013416631323e-117 |
| 14.0ms | -2.764494749868779e+108 | -1.184754416313042e+101 |
| 9.0ms | 160× | 0 | valid |
Compiled 192 to 183 computations (4.7% saved)
ival-sub: 1.0ms (24.4% of total)ival-div: 1.0ms (24.4% of total)ival-add: 1.0ms (24.4% of total)ival-mult: 1.0ms (24.4% 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 |
|---|---|---|
| 8.0ms | 1.5024082007305743e+75 | 7.354631636065628e+75 |
| 11.0ms | -1.2241061981057236e+162 | -4.7080230164615547e+157 |
| 11.0ms | 224× | 0 | valid |
Compiled 250 to 251 computations (-0.4% saved)
ival-div: 2.0ms (35.9% of total)ival-sub: 1.0ms (17.9% of total)ival-add: 1.0ms (17.9% of total)ival-mult: 1.0ms (17.9% 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 |
|---|---|---|
| 12.0ms | 0.004667848655001702 | 518702.5138224987 |
| 14.0ms | -1.6097838304310243e+22 | -91658.31204743857 |
| 15.0ms | 304× | 0 | valid |
Compiled 316 to 336 computations (-6.3% saved)
ival-sub: 2.0ms (26% of total)ival-div: 2.0ms (26% of total)ival-mult: 2.0ms (26% of total)ival-add: 1.0ms (13% 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 |
|---|---|---|
| 12.0ms | 5.410578413147649e+45 | 1.8888640611474825e+53 |
| 11.0ms | -1.1771314507042674e+36 | -1.7304663226385992e+32 |
| 13.0ms | 272× | 0 | valid |
Compiled 284 to 319 computations (-12.3% saved)
ival-sub: 2.0ms (29.1% of total)ival-div: 2.0ms (29.1% of total)ival-mult: 2.0ms (29.1% of total)ival-add: 1.0ms (14.6% 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 |
|---|---|---|
| 36.0ms | 3.3599241119719267e+146 | 4.37633119395726e+149 |
| 11.0ms | -9.338905114467327e+171 | -1.2847277542166103e+169 |
| 37.0ms | 256× | 0 | valid |
Compiled 268 to 301 computations (-12.3% saved)
ival-div: 2.0ms (30.6% of total)ival-mult: 2.0ms (30.6% of total)ival-sub: 1.0ms (15.3% of total)ival-add: 1.0ms (15.3% 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 |
|---|---|---|
| 7.0ms | 3.3599241119719267e+146 | 4.37633119395726e+149 |
| 4.0ms | 80× | 0 | valid |
Compiled 140 to 157 computations (-12.1% saved)
ival-div: 1.0ms (49.7% of total)ival-mult: 1.0ms (49.7% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.0319722538308265e-64 | 6.256792578380908e-56 |
| 16.0ms | -2.456360503832397e-112 | -9.685551599952779e-120 |
| 21.0ms | 288× | 0 | valid |
Compiled 174 to 265 computations (-52.3% saved)
ival-mult: 5.0ms (48.8% of total)ival-sub: 2.0ms (19.5% of total)ival-div: 2.0ms (19.5% of total)ival-add: 1.0ms (9.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 16× | *-commutative-binary64-*.f64 |
| 10× | +-commutative-binary64-+.f64 |
| 8× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 4× | neg-sub0-binary64--.f64-neg.f64 |
| 4× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 441 |
| 1 | 96 | 441 |
| 2 | 102 | 441 |
| 3 | 104 | 441 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 z #s(literal -119999999999999994137671364268273881942482075473267750107748574484415980258794933774144499009447788544 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (if (<=.f64 z #s(literal 390218568789499/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) |
(if (<=.f64 y #s(literal -47999999999999999201240650713202642298897869200838585745616365494102484040048602617510938093405059604059394640529429043241656352711899539206344497775652110336 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) (if (<=.f64 y #s(literal 3350000000000000045165787463154003835735120007753939129479158129395415121920 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 (/.f64 (-.f64 z x) z) y)))) |
(if (<=.f64 y #s(literal -95000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)))) |
(if (<=.f64 x #s(literal -141999999999999991118761295553232896 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (if (<=.f64 x #s(literal 16999999999999999122786563474161721112998707200 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)))) |
(if (<=.f64 y #s(literal -47999999999999996825303752067662778993853610388655912893361255470769631041580975086033236764600605464203898620785529030825890279045351014077414008259378973639730480021504 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) (if (<=.f64 y #s(literal 339999999999999990744261413686282949153855044567478797263246375049027131228789615831797219808308176004137591354633276357074691968990303803880243200 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)))) |
(if (<=.f64 y #s(literal 1250000000000000061220908218938150724465283754413429860931302968237710329491730945201539411559095579741391330851887845952566791148328231521377845248 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
(if (<=.f64 x #s(literal -324922229779783/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (if (<=.f64 x #s(literal 5742252960529749/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) |
| Outputs |
|---|
(if (<=.f64 z #s(literal -119999999999999994137671364268273881942482075473267750107748574484415980258794933774144499009447788544 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (if (<=.f64 z #s(literal 390218568789499/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) |
(if (<=.f64 z #s(literal -119999999999999994137671364268273881942482075473267750107748574484415980258794933774144499009447788544 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)) (if (<=.f64 z #s(literal 390218568789499/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (/.f64 (+.f64 (*.f64 (-.f64 z x) y) x) z) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x y)))) |
(if (<=.f64 y #s(literal -47999999999999999201240650713202642298897869200838585745616365494102484040048602617510938093405059604059394640529429043241656352711899539206344497775652110336 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) (if (<=.f64 y #s(literal 3350000000000000045165787463154003835735120007753939129479158129395415121920 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 (/.f64 (-.f64 z x) z) y)))) |
(if (<=.f64 y #s(literal -95000 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 z x) z) y)))) |
(if (<=.f64 x #s(literal -141999999999999991118761295553232896 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)) (if (<=.f64 x #s(literal 16999999999999999122786563474161721112998707200 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) z) x)))) |
(if (<=.f64 y #s(literal -47999999999999996825303752067662778993853610388655912893361255470769631041580975086033236764600605464203898620785529030825890279045351014077414008259378973639730480021504 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)) (if (<=.f64 y #s(literal 339999999999999990744261413686282949153855044567478797263246375049027131228789615831797219808308176004137591354633276357074691968990303803880243200 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- z x) (neg.f64 x)) z) y)))) |
(if (<=.f64 y #s(literal 1250000000000000061220908218938150724465283754413429860931302968237710329491730945201539411559095579741391330851887845952566791148328231521377845248 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) z) x))) |
#s(approx (/ (+ x (* y (- z x))) z) (fma.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (/.f64 x z) y)) |
(if (<=.f64 x #s(literal -324922229779783/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)) (if (<=.f64 x #s(literal 5742252960529749/110427941548649020598956093796432407239217743554726184882600387580788736 binary64)) #s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) #s(approx (/ (+ x (* y (- z x))) z) (/.f64 x z)))) |
#s(approx (/ (+ x (* y (- z x))) z) (*.f64 #s(approx (/ (- z x) z) #s(literal 1 binary64)) y)) |
| 7 800× | lower-fma.f64 |
| 7 800× | lower-fma.f32 |
| 7 428× | lower-fma.f64 |
| 7 428× | lower-fma.f32 |
| 7 300× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 182 |
| 0 | 40 | 182 |
| 1 | 147 | 182 |
| 2 | 983 | 182 |
| 0 | 8537 | 178 |
| 0 | 106 | 1006 |
| 1 | 346 | 742 |
| 2 | 1046 | 742 |
| 3 | 3278 | 742 |
| 4 | 5788 | 742 |
| 5 | 7697 | 742 |
| 0 | 8095 | 688 |
| 0 | 160 | 4234 |
| 1 | 508 | 3358 |
| 2 | 1521 | 3358 |
| 3 | 4205 | 3358 |
| 4 | 6562 | 3358 |
| 0 | 8247 | 3169 |
| 0 | 182 | 4037 |
| 1 | 590 | 3143 |
| 2 | 1695 | 3116 |
| 3 | 4516 | 3116 |
| 4 | 6977 | 3116 |
| 0 | 8182 | 2900 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 353 to 214 computations (39.4% saved)
Compiled 476 to 176 computations (63% saved)
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