
Time bar (total: 8.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 8 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 11 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 542.0ms | 8 256× | 0 | valid |
ival-div: 200.0ms (64.2% of total)ival-add: 61.0ms (19.6% of total)ival-sub: 37.0ms (11.9% of total)ival-true: 5.0ms (1.6% of total)exact: 5.0ms (1.6% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 37 | 0 | - | 0 | - | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 y z)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (/.f64 y z) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) | n/o | 37 | 0 |
| ↳ | (/.f64 y z) | overflow | 37 | |
| ↳ | (-.f64 #s(literal 1 binary64) (/.f64 y z)) | overflow | 37 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 37 | 0 |
| - | 0 | 219 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 37 | 0 | 0 |
| - | 0 | 0 | 219 |
| number | freq |
|---|---|
| 0 | 219 |
| 1 | 37 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 167.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-div: 7.0ms (56% of total)ival-add: 3.0ms (24% of total)ival-sub: 2.0ms (16% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 702× | times-frac |
| 506× | div-sub |
| 396× | unsub-neg |
| 382× | distribute-rgt-in |
| 368× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 90 |
| 1 | 83 | 82 |
| 2 | 160 | 81 |
| 3 | 361 | 81 |
| 4 | 1104 | 81 |
| 5 | 2058 | 81 |
| 6 | 2769 | 81 |
| 7 | 3345 | 81 |
| 8 | 3484 | 81 |
| 9 | 3542 | 81 |
| 10 | 3578 | 81 |
| 11 | 3606 | 81 |
| 12 | 3606 | 81 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 17 | 9 |
| 2 | 25 | 9 |
| 3 | 34 | 9 |
| 4 | 50 | 9 |
| 5 | 66 | 9 |
| 6 | 87 | 9 |
| 7 | 115 | 9 |
| 8 | 153 | 9 |
| 9 | 212 | 9 |
| 10 | 343 | 9 |
| 11 | 451 | 9 |
| 12 | 632 | 9 |
| 13 | 780 | 9 |
| 14 | 853 | 9 |
| 15 | 894 | 9 |
| 16 | 896 | 9 |
| 17 | 900 | 9 |
| 0 | 900 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.4% | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 y z)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 368× | lower-fma.f64 |
| 368× | lower-fma.f32 |
| 240× | lower-*.f64 |
| 240× | lower-*.f32 |
| 192× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 17 | 24 |
| 2 | 25 | 24 |
| 3 | 34 | 24 |
| 4 | 50 | 24 |
| 5 | 66 | 24 |
| 6 | 87 | 24 |
| 7 | 115 | 24 |
| 8 | 153 | 24 |
| 9 | 212 | 24 |
| 10 | 343 | 24 |
| 11 | 451 | 24 |
| 12 | 632 | 24 |
| 13 | 780 | 24 |
| 14 | 853 | 24 |
| 15 | 894 | 24 |
| 16 | 896 | 24 |
| 17 | 900 | 24 |
| 0 | 900 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
#s(literal 1 binary64) |
(/.f64 y z) |
z |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
#s(literal 1 binary64) |
(/.f64 y z) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (/.f64 y z)) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 8.731336585598019 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 57.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-div: 11.0ms (81% of total)ival-sub: 1.0ms (7.4% of total)ival-add: 1.0ms (7.4% 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 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- z y) z) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- z y) z) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- z y) z) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (/ (* y (+ x y)) z))) (taylor inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) (taylor inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) (taylor inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor -inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (/ (* y (+ x y)) z))) (taylor -inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) (taylor -inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) (taylor -inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 (* -1 (/ x z))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (/ 1 z))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (/ 1 z))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (/ 1 z))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 z) (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 z) (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 z) (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- 1 (/ y z))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z)) |
| 1.0ms | y | @ | -inf | ((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z)) |
| 1.0ms | z | @ | -inf | ((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z)) |
| 1.0ms | z | @ | 0 | ((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z)) |
| 1.0ms | z | @ | inf | ((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z)) |
| 1× | egg-herbie |
| 17 244× | lower-fma.f64 |
| 17 244× | lower-fma.f32 |
| 4 624× | lower-*.f64 |
| 4 624× | lower-*.f32 |
| 2 932× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 958 |
| 1 | 589 | 915 |
| 2 | 1844 | 852 |
| 3 | 7144 | 833 |
| 0 | 8245 | 790 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* -1 (/ y z)) |
(/ (- z y) z) |
(/ (- z y) z) |
(/ (- z y) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* -1 (/ y z)) |
(* y (- (/ 1 y) (/ 1 z))) |
(* y (- (/ 1 y) (/ 1 z))) |
(* y (- (/ 1 y) (/ 1 z))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (/ y z)) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
| Outputs |
|---|
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (fma.f64 (/.f64 z y) (/.f64 x y) (/.f64 z y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) z (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(/ (- z y) z) |
(/.f64 (-.f64 z y) z) |
(/ (- z y) z) |
(/.f64 (-.f64 z y) z) |
(/ (- z y) z) |
(/.f64 (-.f64 z y) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 y x) (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y z))) |
(/.f64 (-.f64 z y) z) |
(+ 1 (* -1 (/ y z))) |
(/.f64 (-.f64 z y) z) |
(+ 1 (* -1 (/ y z))) |
(/.f64 (-.f64 z y) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
(fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 y x) (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y z))) |
(/.f64 (-.f64 z y) z) |
(+ 1 (* -1 (/ y z))) |
(/.f64 (-.f64 z y) z) |
(+ 1 (* -1 (/ y z))) |
(/.f64 (-.f64 z y) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+.f64 y (fma.f64 (/.f64 x z) y x)) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) (/.f64 y z) (+.f64 (/.f64 x z) #s(literal 1 binary64))) y x) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 x z) #s(literal 1 binary64)) z)) y (+.f64 (/.f64 x z) #s(literal 1 binary64))) y x) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y z))) |
(/.f64 (-.f64 z y) z) |
(+ 1 (* -1 (/ y z))) |
(/.f64 (-.f64 z y) z) |
(+ 1 (* -1 (/ y z))) |
(/.f64 (-.f64 z y) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* -1 z) |
(neg.f64 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(fma.f64 (/.f64 z y) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(neg.f64 (+.f64 (/.f64 (fma.f64 z (+.f64 z x) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (fma.f64 (/.f64 z y) z z)) y)) y) z)) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(* y (- (/ 1 y) (/ 1 z))) |
(/.f64 (-.f64 z y) z) |
(* y (- (/ 1 y) (/ 1 z))) |
(/.f64 (-.f64 z y) z) |
(* y (- (/ 1 y) (/ 1 z))) |
(/.f64 (-.f64 z y) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* -1 z) |
(neg.f64 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(-.f64 (/.f64 (*.f64 z (+.f64 (+.f64 (/.f64 (*.f64 z (+.f64 z x)) y) x) z)) (neg.f64 y)) z) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(neg.f64 (+.f64 (/.f64 (fma.f64 z (+.f64 z x) (/.f64 (*.f64 (*.f64 z (+.f64 z x)) (fma.f64 (/.f64 z y) z z)) y)) y) z)) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(/.f64 (-.f64 z y) z) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(/.f64 (-.f64 z y) z) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(/.f64 (-.f64 z y) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y (- 1 (/ y z))) |
(/.f64 y (/.f64 (-.f64 z y) z)) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(fma.f64 (/.f64 y (-.f64 z y)) z (/.f64 x (/.f64 (-.f64 z y) z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(fma.f64 (/.f64 y (-.f64 z y)) z (/.f64 x (/.f64 (-.f64 z y) z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(fma.f64 (/.f64 y (-.f64 z y)) z (/.f64 x (/.f64 (-.f64 z y) z))) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(/ x (- 1 (/ y z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (/.f64 (-.f64 z y) z)) x) x (/.f64 x (/.f64 (-.f64 z y) z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (/.f64 (-.f64 z y) z)) x) x (/.f64 x (/.f64 (-.f64 z y) z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (/.f64 (-.f64 z y) z)) x) x (/.f64 x (/.f64 (-.f64 z y) z))) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(/ x (- 1 (/ y z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (/.f64 (-.f64 z y) z)) x) x (/.f64 x (/.f64 (-.f64 z y) z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (/.f64 (-.f64 z y) z)) x) x (/.f64 x (/.f64 (-.f64 z y) z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (/.f64 (-.f64 z y) z)) x) x (/.f64 x (/.f64 (-.f64 z y) z))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y x) x x) |
| 3 550× | lower-*.f64 |
| 3 550× | lower-*.f32 |
| 3 202× | lower-/.f32 |
| 3 198× | lower-/.f64 |
| 2 858× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 0 | 12 | 20 |
| 1 | 56 | 20 |
| 2 | 432 | 20 |
| 3 | 7705 | 20 |
| 0 | 8025 | 20 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(+.f64 x y) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 y z) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 y x)) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y))) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (neg.f64 y) x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) x)) (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (+.f64 y x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) (-.f64 x y)) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 y x))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) (+.f64 y x))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (neg.f64 y) x)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (+.f64 y x)) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (-.f64 x y))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))) |
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 y x) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(*.f64 (-.f64 (neg.f64 y) x) (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (-.f64 x y) (-.f64 x y))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(*.f64 (+.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (-.f64 (neg.f64 y) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 y) x) (-.f64 x y)) (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 x y)) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64))) (-.f64 y x)) |
(/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 y) x) (-.f64 x y)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x y)) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 y z) (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 y z))) |
(/.f64 (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) (-.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (*.f64 (-.f64 (neg.f64 y) x) (-.f64 x y))) (fma.f64 #s(literal -1 binary64) x y)) |
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (neg.f64 y) x) #s(literal 1 binary64)) (-.f64 (/.f64 y z) #s(literal 1 binary64))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))) (+.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 4 binary64))) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 (/.f64 y z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 6 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 4 binary64))) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 6 binary64))) (pow.f64 (/.f64 y z) #s(literal 3 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) |
(/.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal -1 binary64))) |
(neg.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 y z)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) (-.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 y z) (-.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y z)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 y z) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 y) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 y) (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(+.f64 (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (/.f64 y z) #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64))))) |
(+.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)) |
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) y) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 y z) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 y (pow.f64 z #s(literal -1 binary64))) |
(pow.f64 (/.f64 z y) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) z) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 y z) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))) |
Compiled 8 965 to 1 012 computations (88.7% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 426 | 11 | 437 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 426 | 12 | 438 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.3% | (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) |
| ✓ | 86.4% | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 46.5% | (*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 y x)) | |
| 47.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) | |
| 40.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) | |
| ▶ | 48.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) |
| 45.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (*.f64 z (+.f64 (+.f64 (/.f64 (*.f64 z (+.f64 z x)) y) x) z)) (neg.f64 y)) z)) | |
| ▶ | 49.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) |
| 47.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x))) | |
| 49.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) | |
| ▶ | 47.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
| ▶ | 35.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
Compiled 241 to 190 computations (21.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 z y) | |
| cost-diff | 0 | (/.f64 (-.f64 z y) z) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) | |
| cost-diff | 384 | (/.f64 x (/.f64 (-.f64 z y) z)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (fma.f64 (/.f64 y z) (+.f64 y x) y) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) | |
| cost-diff | 64 | (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) (/.f64 x y)) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) | |
| cost-diff | 384 | (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) |
| 3 792× | lower-fma.f32 |
| 3 788× | lower-fma.f64 |
| 1 384× | lower-*.f32 |
| 1 382× | lower-*.f64 |
| 980× | unsub-neg |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 160 |
| 0 | 45 | 161 |
| 1 | 79 | 156 |
| 2 | 147 | 156 |
| 3 | 242 | 156 |
| 4 | 388 | 156 |
| 5 | 639 | 156 |
| 6 | 1589 | 156 |
| 7 | 3002 | 156 |
| 8 | 4260 | 156 |
| 9 | 4800 | 156 |
| 10 | 4981 | 156 |
| 11 | 5080 | 156 |
| 12 | 5080 | 156 |
| 13 | 5502 | 156 |
| 14 | 5741 | 156 |
| 15 | 5929 | 156 |
| 16 | 6085 | 156 |
| 17 | 6085 | 156 |
| 18 | 6085 | 156 |
| 19 | 6085 | 156 |
| 20 | 6105 | 156 |
| 21 | 6113 | 156 |
| 0 | 6113 | 156 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) |
(+.f64 x y) |
x |
y |
(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
#s(literal -1 binary64) |
(/.f64 x y) |
x |
y |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) |
(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) |
(fma.f64 (/.f64 y z) (+.f64 y x) y) |
(/.f64 y z) |
y |
z |
(+.f64 y x) |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
x |
(/.f64 (-.f64 z y) z) |
(-.f64 z y) |
z |
y |
| Outputs |
|---|
(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) |
(/.f64 (-.f64 z y) z) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
#s(literal -1 binary64) |
(/.f64 x y) |
x |
y |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 (/.f64 y z) #s(literal -1 binary64)) (+.f64 y x))) |
(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) |
(*.f64 (-.f64 (/.f64 y z) #s(literal -1 binary64)) (+.f64 y x)) |
(fma.f64 (/.f64 y z) (+.f64 y x) y) |
(fma.f64 (+.f64 y x) (/.f64 y z) y) |
(/.f64 y z) |
y |
z |
(+.f64 y x) |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
x |
(/.f64 (-.f64 z y) z) |
(-.f64 z y) |
z |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 z y) z) | |
| accuracy | 3.7450747497843095 | (/.f64 x (/.f64 (-.f64 z y) z)) | |
| accuracy | 31.376614086878412 | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.015625 | (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) | |
| accuracy | 0.7577655828785949 | (fma.f64 (/.f64 y z) (+.f64 y x) y) | |
| accuracy | 32.53721287107297 | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (-.f64 #s(literal -1 binary64) (/.f64 x y)) | |
| accuracy | 4.354328707895843 | (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) | |
| accuracy | 31.562838386063245 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 41.00510105005219 | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.09375 | (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) | |
| accuracy | 8.731336585598019 | (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) |
| 48.0ms | 256× | 0 | valid |
Compiled 136 to 26 computations (80.9% saved)
ival-add: 12.0ms (36.8% of total)ival-div: 11.0ms (33.7% of total)ival-mult: 5.0ms (15.3% of total)ival-sub: 3.0ms (9.2% of total)ival-neg: 1.0ms (3.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal -1 binary64) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 z y) z) (patch (/.f64 (-.f64 z y) z) #<representation binary64>) () ()) |
#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) (patch (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 z) (taylor 0 z) (#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (/ x y)))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (/ x y)))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (/ x y)))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (/ x y)))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ x y)) z) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y (+ x y)) (* z (+ x y))) z) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y (+ x y)) (* z (+ x y))) z) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y (+ x y)) (* z (+ x y))) z) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ x y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y z) (* y (+ x y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y z) (* y (+ x y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y z) (* y (+ x y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x z) (- z y)) (taylor inf x) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor inf x) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor inf x) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor inf x) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 (* -1 (/ y z)))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 1 (* -1 (/ y z))))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 1 (* -1 (/ y z))))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 1 (* -1 (/ y z))))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) (patch (/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ z x) (/ z y)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ z x) (/ z y)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ z x) (/ z y)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal -1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal -1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal -1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal -1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | 0 | ((/ (+ x y) (+ (* (/ -1 z) y) 1)) (+ (* (/ -1 z) y) 1) (+ x y) (/ -1 z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ y z) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x)) |
| 4.0ms | y | @ | -inf | ((/ (+ x y) (+ (* (/ -1 z) y) 1)) (+ (* (/ -1 z) y) 1) (+ x y) (/ -1 z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ y z) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x)) |
| 4.0ms | z | @ | 0 | ((/ (+ x y) (+ (* (/ -1 z) y) 1)) (+ (* (/ -1 z) y) 1) (+ x y) (/ -1 z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ y z) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x)) |
| 3.0ms | x | @ | -inf | ((/ (+ x y) (+ (* (/ -1 z) y) 1)) (+ (* (/ -1 z) y) 1) (+ x y) (/ -1 z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ y z) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x)) |
| 3.0ms | x | @ | inf | ((/ (+ x y) (+ (* (/ -1 z) y) 1)) (+ (* (/ -1 z) y) 1) (+ x y) (/ -1 z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ y z) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x)) |
| 1× | egg-herbie |
| 16 174× | lower-fma.f64 |
| 16 174× | lower-fma.f32 |
| 4 618× | lower-+.f64 |
| 4 618× | lower-+.f32 |
| 4 530× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 382 | 5934 |
| 1 | 1260 | 5662 |
| 2 | 3750 | 5064 |
| 0 | 8437 | 4847 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* -1 (/ y z)) |
(/ (+ z (* -1 y)) z) |
(/ (+ z (* -1 y)) z) |
(/ (+ z (* -1 y)) z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(/ (* y (+ x y)) z) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
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(/ x y) |
(/ x y) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z)))))) |
(* x (+ 1 (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z)))))) |
(* x (+ 1 (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z)))))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ (* x y) z) |
(* x (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z))))) |
(* x (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z))))) |
(* x (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z))))) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(/ x (+ 1 (* -1 (/ y z)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 1 (* -1 (/ y z))))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 1 (* -1 (/ y z))))))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 1 (* -1 (/ y z))))))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (/ (* x z) y)) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(/ (* x y) z) |
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))))) |
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))))) |
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))))) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
| Outputs |
|---|
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (*.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(/ (+ z (* -1 y)) z) |
(/.f64 (-.f64 z y) z) |
(/ (+ z (* -1 y)) z) |
(/.f64 (-.f64 z y) z) |
(/ (+ z (* -1 y)) z) |
(/.f64 (-.f64 z y) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (*.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (*.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z) |
(* -1 (* z (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* -1 (* z (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* -1 (* z (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* -1 (* z (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(/ (* y (+ x y)) z) |
(/.f64 (*.f64 (+.f64 y x) y) z) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(*.f64 (+.f64 y x) (/.f64 (+.f64 y z) z)) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(*.f64 (+.f64 y x) (/.f64 (+.f64 y z) z)) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(*.f64 (+.f64 y x) (/.f64 (+.f64 y z) z)) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (*.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z) |
(/ (* y (+ x y)) z) |
(/.f64 (*.f64 (+.f64 y x) y) z) |
(/ (+ (* y z) (* y (+ x y))) z) |
(*.f64 y (/.f64 (+.f64 (+.f64 y x) z) z)) |
(/ (+ (* y z) (* y (+ x y))) z) |
(*.f64 y (/.f64 (+.f64 (+.f64 y x) z) z)) |
(/ (+ (* y z) (* y (+ x y))) z) |
(*.f64 y (/.f64 (+.f64 (+.f64 y x) z) z)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) |
(*.f64 (*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 z y))) z) |
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) |
(*.f64 (fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (*.f64 y y)))) z (/.f64 x (neg.f64 y))) z) |
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))) |
(*.f64 (fma.f64 (neg.f64 (*.f64 z (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) z (*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 z y)))) z) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (*.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x y)))) z) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(/ (+ z (* -1 y)) z) |
(/.f64 (-.f64 z y) z) |
(/ (+ z (* -1 y)) z) |
(/.f64 (-.f64 z y) z) |
(/ (+ z (* -1 y)) z) |
(/.f64 (-.f64 z y) z) |
(* -1 y) |
(neg.f64 y) |
(- z y) |
(-.f64 z y) |
(- z y) |
(-.f64 z y) |
(- z y) |
(-.f64 z y) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 (fma.f64 (+.f64 y x) (/.f64 y z) y) x) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (fma.f64 (+.f64 y x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 y x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y z))) |
(/.f64 (-.f64 z y) z) |
(+ 1 (* -1 (/ y z))) |
(/.f64 (-.f64 z y) z) |
(+ 1 (* -1 (/ y z))) |
(/.f64 (-.f64 z y) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(/ -1 z) |
(/.f64 #s(literal -1 binary64) z) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 (fma.f64 (+.f64 y x) (/.f64 y z) y) x) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (fma.f64 (+.f64 y x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 y x))) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 (fma.f64 (+.f64 y x) (/.f64 y z) y) x) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (fma.f64 (+.f64 y x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 y x))) |
(* -1 (* z (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* -1 (* z (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* -1 (* z (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* -1 (* z (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 (fma.f64 (+.f64 y x) (/.f64 y z) y) x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 (fma.f64 (+.f64 y x) (/.f64 y z) y) x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 (fma.f64 (+.f64 y x) (/.f64 y z) y) x) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 (fma.f64 (+.f64 y x) (/.f64 y z) y) x) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (fma.f64 (+.f64 y x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 y x))) |
y |
(+ y (/ (* y (+ x y)) z)) |
(fma.f64 (+.f64 y x) (/.f64 y z) y) |
(+ y (/ (* y (+ x y)) z)) |
(fma.f64 (+.f64 y x) (/.f64 y z) y) |
(+ y (/ (* y (+ x y)) z)) |
(fma.f64 (+.f64 y x) (/.f64 y z) y) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) |
(fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y z) y) x) |
(- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2))))) |
(fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y z) y) x)) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 (fma.f64 (+.f64 y x) (/.f64 y z) y) x) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (fma.f64 (+.f64 y x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 y x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ y z))) |
(/.f64 (-.f64 z y) z) |
(+ 1 (* -1 (/ y z))) |
(/.f64 (-.f64 z y) z) |
(+ 1 (* -1 (/ y z))) |
(/.f64 (-.f64 z y) z) |
z |
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(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* x (+ 1 (/ y z))) |
(fma.f64 (/.f64 x z) y x) |
(* x (+ 1 (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y z) (/.f64 y x)) x x) |
(* x (+ 1 (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y z) (/.f64 y x)) x x) |
(* x (+ 1 (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z)))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y z) (/.f64 y x)) x x) |
(/ x (- 1 (/ y z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z)))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z)))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z)))) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* x (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y z) (/.f64 y x)) x) |
(* x (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y z) (/.f64 y x)) x) |
(* x (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 y z) (/.f64 y x)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ x (- 1 (/ y z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z)))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z)))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z)))) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(/ x (+ 1 (* -1 (/ y z)))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 1 (* -1 (/ y z))))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 1 (* -1 (/ y z))))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z)))) |
(* -1 (* x (- (* -1 (/ y (* x (+ 1 (* -1 (/ y z)))))) (/ 1 (+ 1 (* -1 (/ y z))))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z)))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z)))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z)))) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 z x) (/.f64 z y))) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 z x) (/.f64 z y))) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 z x) (/.f64 z y))) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 x z) y x) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(fma.f64 (+.f64 (/.f64 (fma.f64 y (/.f64 y z) y) x) (/.f64 y z)) x x) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(fma.f64 (+.f64 (/.f64 (fma.f64 y (/.f64 y z) y) x) (/.f64 y z)) x x) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(fma.f64 (+.f64 (/.f64 (fma.f64 y (/.f64 y z) y) x) (/.f64 y z)) x x) |
(/ x (- 1 (/ y z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z)))) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 y (/.f64 y z) y) x) (/.f64 y z)) x) |
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 y (/.f64 y z) y) x) (/.f64 y z)) x) |
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 y (/.f64 y z) y) x) (/.f64 y z)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ x (- 1 (/ y z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 z y) z)))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
| 4 894× | lower-*.f32 |
| 4 892× | lower-*.f64 |
| 4 730× | lower-/.f32 |
| 4 718× | lower-/.f64 |
| 2 640× | lower--.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 144 |
| 0 | 45 | 145 |
| 1 | 205 | 140 |
| 2 | 1849 | 140 |
| 0 | 8296 | 140 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64)) |
(+.f64 x y) |
(/.f64 #s(literal -1 binary64) z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
(neg.f64 z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) |
(fma.f64 (/.f64 y z) (+.f64 y x) y) |
(/.f64 y z) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) |
(/.f64 (-.f64 z y) z) |
(-.f64 z y) |
(+.f64 y x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 z y) z) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 z y) z) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 z y) z) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 z y) z) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (+.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal -1 binary64))) |
(*.f64 (/.f64 z (-.f64 z y)) (pow.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) |
(*.f64 (neg.f64 (+.f64 y x)) (pow.f64 (+.f64 (/.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))) |
(*.f64 (+.f64 y x) (/.f64 z (-.f64 z y))) |
(pow.f64 (/.f64 (/.f64 (/.f64 (-.f64 z y) z) (+.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 z y) z) (+.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 z (-.f64 z y)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 z (-.f64 z y)))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (-.f64 z y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (-.f64 z y)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) #s(literal 1 binary64))) (+.f64 (/.f64 y z) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 y x)))) (+.f64 (/.f64 y z) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 y x) (/.f64 (-.f64 z y) z)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 x y) (/.f64 (-.f64 z y) z)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (-.f64 z y) z)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 (-.f64 z y) z)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 z (-.f64 z y))) (-.f64 y x)) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 z (-.f64 z y))) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (-.f64 z y))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (-.f64 z y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 y x) #s(literal 1 binary64)) (/.f64 (-.f64 z y) z)) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (*.f64 (/.f64 (-.f64 z y) z) (-.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (*.f64 (/.f64 (-.f64 z y) z) (-.f64 x y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 (/.f64 (-.f64 z y) z) (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 (/.f64 (-.f64 z y) z) (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 y x))) (/.f64 (-.f64 z y) z)) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 (-.f64 y x) (/.f64 (-.f64 z y) z))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (/.f64 (-.f64 z y) z))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (-.f64 z y) z))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 (-.f64 z y) z))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (/.f64 (-.f64 z y) z) (-.f64 y x))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (/.f64 (-.f64 z y) z) (-.f64 x y))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 (-.f64 z y) z) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 (-.f64 z y) z) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 y x)) (+.f64 (/.f64 y z) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (-.f64 z y) z) (+.f64 y x))))) |
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(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (+.f64 z y)) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 z (neg.f64 y))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 z z (*.f64 y (+.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 y (+.f64 z y))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 z y) (*.f64 (+.f64 z y) (-.f64 z y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z z (*.f64 y (+.f64 z y))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(fma.f64 #s(literal -1 binary64) y z) |
(fma.f64 y #s(literal -1 binary64) z) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (neg.f64 y))) (/.f64 (*.f64 y y) (-.f64 z (neg.f64 y)))) |
(-.f64 (/.f64 (*.f64 z z) (+.f64 z y)) (/.f64 (*.f64 y y) (+.f64 z y))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (*.f64 y (+.f64 z y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z z (*.f64 y (+.f64 z y))))) |
(-.f64 z y) |
(+.f64 (neg.f64 y) z) |
(+.f64 z (neg.f64 y)) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 y x) (-.f64 y x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 x y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(+.f64 y x) |
(+.f64 x y) |
Compiled 18 192 to 2 312 computations (87.3% saved)
17 alts after pruning (14 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 114 | 10 | 1 124 |
| Fresh | 2 | 4 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 119 | 17 | 1 136 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.4% | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 46.5% | (*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 y x)) | |
| ▶ | 86.9% | (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) |
| ▶ | 47.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) |
| 42.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) | |
| 40.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) | |
| 48.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) | |
| 47.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) | |
| ▶ | 49.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
| ▶ | 48.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
| ✓ | 47.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
| 14.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) | |
| ✓ | 35.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| ▶ | 32.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
| 15.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y)))) | |
| 17.3% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y))) | |
| 2.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) |
Compiled 280 to 239 computations (14.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (neg.f64 x) z) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) | |
| cost-diff | 128 | (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) | |
| cost-diff | 0 | (-.f64 z y) | |
| cost-diff | 0 | (/.f64 z (-.f64 z y)) | |
| cost-diff | 0 | (*.f64 (/.f64 z (-.f64 z y)) x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (fma.f64 (/.f64 x z) y x) | |
| cost-diff | 0 | #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (-.f64 z y) | |
| cost-diff | 0 | (/.f64 z (-.f64 z y)) | |
| cost-diff | 0 | (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) |
| 2 664× | lower-fma.f32 |
| 2 660× | lower-fma.f64 |
| 1 344× | lower-*.f32 |
| 1 340× | lower-*.f64 |
| 1 230× | div-sub |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 170 |
| 0 | 42 | 170 |
| 1 | 79 | 170 |
| 2 | 145 | 170 |
| 3 | 303 | 168 |
| 4 | 629 | 168 |
| 5 | 1484 | 168 |
| 6 | 3397 | 168 |
| 7 | 4616 | 168 |
| 8 | 4850 | 168 |
| 9 | 5039 | 168 |
| 10 | 5067 | 168 |
| 11 | 5097 | 168 |
| 12 | 5489 | 168 |
| 13 | 5750 | 168 |
| 14 | 5765 | 168 |
| 15 | 5765 | 168 |
| 16 | 5809 | 168 |
| 17 | 5913 | 168 |
| 18 | 6002 | 168 |
| 19 | 6020 | 168 |
| 20 | 6070 | 168 |
| 21 | 6074 | 168 |
| 22 | 6074 | 168 |
| 23 | 6074 | 168 |
| 24 | 6074 | 168 |
| 0 | 6074 | 168 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) |
(/.f64 z (-.f64 z y)) |
z |
(-.f64 z y) |
y |
(+.f64 y x) |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) |
(fma.f64 (/.f64 x z) y x) |
(/.f64 x z) |
x |
z |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/.f64 z (-.f64 z y)) |
z |
(-.f64 z y) |
y |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) |
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) |
(/.f64 z y) |
z |
y |
(-.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
(neg.f64 z) |
| Outputs |
|---|
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) |
(*.f64 (+.f64 x y) (/.f64 z (-.f64 z y))) |
(/.f64 z (-.f64 z y)) |
z |
(-.f64 z y) |
y |
(+.f64 y x) |
(+.f64 x y) |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) |
(fma.f64 (/.f64 x z) y x) |
(/.f64 x z) |
x |
z |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(*.f64 x (/.f64 z (-.f64 z y))) |
(/.f64 z (-.f64 z y)) |
z |
(-.f64 z y) |
y |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) z)) |
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y)) z) |
(/.f64 z y) |
z |
y |
(-.f64 (neg.f64 x) z) |
(neg.f64 x) |
x |
(neg.f64 z) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 1.7811138441905907 | (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) | |
| accuracy | 31.596513705736985 | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) | |
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0.01953125 | (/.f64 z (-.f64 z y)) | |
| accuracy | 3.7567934997843095 | (*.f64 (/.f64 z (-.f64 z y)) x) | |
| accuracy | 31.376614086878412 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 5.085407396325322 | (fma.f64 (/.f64 x z) y x) | |
| accuracy | 31.376614086878412 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) | |
| accuracy | 32.27417849913692 | #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 32.229431698681516 | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) | |
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.01953125 | (/.f64 z (-.f64 z y)) | |
| accuracy | 8.37692937605274 | (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) |
| 71.0ms | 256× | 0 | valid |
Compiled 129 to 26 computations (79.8% saved)
ival-div: 36.0ms (69.6% of total)ival-mult: 6.0ms (11.6% of total)ival-sub: 4.0ms (7.7% of total)ival-add: 4.0ms (7.7% of total)ival-neg: 2.0ms (3.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (patch (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 z (-.f64 z y)) (patch (/.f64 z (-.f64 z y)) #<representation binary64>) () ()) |
#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 z (-.f64 z y)) x) (patch (*.f64 (/.f64 z (-.f64 z y)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (patch (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (patch (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (patch (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (patch (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ z y)) (taylor 0 z) (#s(alt (/.f64 z (-.f64 z y)) (patch (/.f64 z (-.f64 z y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1 (/ z x)) 1)) (taylor inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1 (/ z x)) 1)) (taylor inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (* -1 (/ z x)) 1)) (taylor inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (patch (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (patch (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (patch (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) (taylor -inf x) (#s(alt (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (patch (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<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 (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 z (-.f64 z y)) x) (patch (*.f64 (/.f64 z (-.f64 z y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 z (-.f64 z y)) x) (patch (*.f64 (/.f64 z (-.f64 z y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 z (-.f64 z y)) x) (patch (*.f64 (/.f64 z (-.f64 z y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 z (-.f64 z y)) x) (patch (*.f64 (/.f64 z (-.f64 z y)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) (patch (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ z x)))) (taylor -inf x) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | x | @ | -inf | ((* (/ z (- z y)) (+ y x)) (/ z (- z y)) (- z y) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (neg x) (neg z)) |
| 2.0ms | x | @ | inf | ((* (/ z (- z y)) (+ y x)) (/ z (- z y)) (- z y) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (neg x) (neg z)) |
| 2.0ms | z | @ | -inf | ((* (/ z (- z y)) (+ y x)) (/ z (- z y)) (- z y) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (neg x) (neg z)) |
| 2.0ms | x | @ | 0 | ((* (/ z (- z y)) (+ y x)) (/ z (- z y)) (- z y) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (neg x) (neg z)) |
| 2.0ms | z | @ | 0 | ((* (/ z (- z y)) (+ y x)) (/ z (- z y)) (- z y) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (neg x) (neg z)) |
| 1× | egg-herbie |
| 11 788× | lower-fma.f64 |
| 11 788× | lower-fma.f32 |
| 5 100× | lower-*.f64 |
| 5 100× | lower-*.f32 |
| 3 470× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 452 | 5934 |
| 1 | 1453 | 5541 |
| 2 | 4276 | 4954 |
| 0 | 8201 | 4739 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* -1 (/ z y)) |
(* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) |
(* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* -1 y) |
(- z y) |
(- z y) |
(- z y) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) |
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) |
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))) |
(/ (* x y) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) |
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) |
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))) |
(* z (- (* -1 (/ x y)) 1)) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(* -1 x) |
(- (* -1 z) x) |
(- (* -1 z) x) |
(- (* -1 z) x) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
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(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(* -1 (/ (* x z) y)) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ z x)))) |
(* -1 (* x (+ 1 (/ z x)))) |
(* -1 (* x (+ 1 (/ z x)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 (neg.f64 y) x) (/.f64 z y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (neg.f64 z) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 z y) (/.f64 (+.f64 y x) y))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (/.f64 (-.f64 (neg.f64 y) x) y)) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (/.f64 (-.f64 (neg.f64 y) x) y)) z) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) |
(*.f64 (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) z) |
(* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) z (/.f64 #s(literal -1 binary64) y)) z) |
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) z (/.f64 (/.f64 #s(literal -1 binary64) y) y)) z (/.f64 #s(literal -1 binary64) y)) z) |
(* -1 y) |
(neg.f64 y) |
(- z y) |
(-.f64 z y) |
(- z y) |
(-.f64 z y) |
(- z y) |
(-.f64 z y) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 (neg.f64 y) x) (/.f64 z y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (neg.f64 z) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 z y) (/.f64 (+.f64 y x) y))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (/.f64 (-.f64 (neg.f64 y) x) y)) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (/.f64 (-.f64 (neg.f64 y) x) y)) z) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 (neg.f64 y) x) (/.f64 z y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (neg.f64 z) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 z y) (/.f64 (+.f64 y x) y))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (/.f64 (-.f64 (neg.f64 y) x) y)) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (/.f64 (-.f64 (neg.f64 y) x) y)) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) |
(*.f64 (*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 z y))) z) |
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) |
(*.f64 (fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (*.f64 y y)))) z (/.f64 (neg.f64 x) y)) z) |
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64))))) z) (/.f64 x (*.f64 y y))) z (/.f64 (neg.f64 x) y)) z) |
(/ (* x y) z) |
(/.f64 (*.f64 y x) z) |
(/ (+ (* x y) (* x z)) z) |
(*.f64 x (/.f64 (+.f64 y z) z)) |
(/ (+ (* x y) (* x z)) z) |
(*.f64 x (/.f64 (+.f64 y z) z)) |
(/ (+ (* x y) (* x z)) z) |
(*.f64 x (/.f64 (+.f64 y z) z)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 (neg.f64 y) x) (/.f64 z y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (neg.f64 z) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 z y) (/.f64 (+.f64 y x) y))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (/.f64 (-.f64 (neg.f64 y) x) y)) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (/.f64 (-.f64 (neg.f64 y) x) y)) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) |
(*.f64 (*.f64 (/.f64 x y) (-.f64 #s(literal -1 binary64) (/.f64 z y))) z) |
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) |
(*.f64 (fma.f64 (neg.f64 (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 x (*.f64 y y)))) z (/.f64 (neg.f64 x) y)) z) |
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64))))) z) (/.f64 x (*.f64 y y))) z (/.f64 (neg.f64 x) y)) z) |
(* z (- (* -1 (/ x y)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y))) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y))) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 x z) y))) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 (neg.f64 y) x) (/.f64 z y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (neg.f64 z) (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 z y) (/.f64 (+.f64 y x) y))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 z y) y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (/.f64 (-.f64 (neg.f64 y) x) y)) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (/.f64 (-.f64 (neg.f64 y) x) y)) z) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(* -1 x) |
(neg.f64 x) |
(- (* -1 z) x) |
(-.f64 (neg.f64 z) x) |
(- (* -1 z) x) |
(-.f64 (neg.f64 z) x) |
(- (* -1 z) x) |
(-.f64 (neg.f64 z) x) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(fma.f64 (+.f64 (/.f64 (+.f64 y x) z) #s(literal 1 binary64)) y x) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (fma.f64 (+.f64 y x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 y x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ y z)) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow y 2) (pow z 2))) (* -1 (/ y z))) |
(fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow y 3) (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (pow z 2))))) |
(fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y z) (+.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) |
z |
(* z (+ 1 (* -1 (/ y z)))) |
(fma.f64 (/.f64 y (neg.f64 z)) z z) |
(* z (+ 1 (* -1 (/ y z)))) |
(fma.f64 (/.f64 y (neg.f64 z)) z z) |
(* z (+ 1 (* -1 (/ y z)))) |
(fma.f64 (/.f64 y (neg.f64 z)) z z) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(fma.f64 (+.f64 (/.f64 (+.f64 y x) z) #s(literal 1 binary64)) y x) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (fma.f64 (+.f64 y x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 y x))) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(fma.f64 (+.f64 (/.f64 (+.f64 y x) z) #s(literal 1 binary64)) y x) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (fma.f64 (+.f64 y x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 y x))) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) |
(fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y z) y) x) |
(- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2))))) |
(fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y z) y) x)) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(fma.f64 (+.f64 (/.f64 (+.f64 y x) z) #s(literal 1 binary64)) y x) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (fma.f64 (+.f64 y x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 y x))) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 y z) x x) |
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) |
(fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y z) y) x) |
(- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2))))) |
(fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) x (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y z) y) x)) |
(* -1 (/ (pow z 2) y)) |
(*.f64 (neg.f64 z) (/.f64 z y)) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) z)) (*.f64 z z)) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) z)) (*.f64 z z)) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) z)) (*.f64 z z)) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(fma.f64 (+.f64 (/.f64 (+.f64 y x) z) #s(literal 1 binary64)) y x) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x)) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (fma.f64 (+.f64 y x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 y x))) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(/ z y) |
(/.f64 z y) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* -1 (/ x z)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x z)) z) |
(* z (- (* -1 (/ x z)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x z)) z) |
(* z (- (* -1 (/ x z)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x z)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(fma.f64 (+.f64 (/.f64 (+.f64 y x) z) #s(literal 1 binary64)) y x) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
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(*.f64 (+.f64 (/.f64 (fma.f64 z (/.f64 z y) z) x) (/.f64 z y)) (neg.f64 x)) |
(* x (- (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))) (/ z x))) |
(*.f64 (+.f64 (/.f64 (fma.f64 z (/.f64 z y) z) x) (/.f64 z y)) (neg.f64 x)) |
(* x (- (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))) (/ z x))) |
(*.f64 (+.f64 (/.f64 (fma.f64 z (/.f64 z y) z) x) (/.f64 z y)) (neg.f64 x)) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (neg.f64 x)) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (neg.f64 x)) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1 (/ z x)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x) |
(* x (- (* -1 (/ z x)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x) |
(* x (- (* -1 (/ z x)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) |
(*.f64 (/.f64 z (-.f64 z y)) (fma.f64 (/.f64 y x) x x)) |
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) |
(*.f64 (/.f64 z (-.f64 z y)) (fma.f64 (/.f64 y x) x x)) |
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) |
(*.f64 (/.f64 z (-.f64 z y)) (fma.f64 (/.f64 y x) x x)) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 y (neg.f64 x)) (neg.f64 x) x) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (neg.f64 x)) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (neg.f64 x)) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 y z) x x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (neg.f64 x)) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 z) (/.f64 x y)) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 z (/.f64 z y) z) x) (/.f64 z y)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 z (/.f64 z y) z) x) (/.f64 z y)) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) |
(*.f64 (+.f64 (/.f64 (fma.f64 z (/.f64 z y) z) x) (/.f64 z y)) (neg.f64 x)) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64)))) (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ z x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x) |
(* -1 (* x (+ 1 (/ z x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x) |
(* -1 (* x (+ 1 (/ z x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z x)) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 5 462× | lower-/.f32 |
| 5 456× | lower-/.f64 |
| 4 636× | lower-*.f32 |
| 4 632× | lower-*.f64 |
| 3 654× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 145 |
| 0 | 42 | 145 |
| 1 | 188 | 145 |
| 2 | 1661 | 145 |
| 0 | 8196 | 145 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) |
(/.f64 z (-.f64 z y)) |
(-.f64 z y) |
(+.f64 y x) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) |
(fma.f64 (/.f64 x z) y x) |
(/.f64 x z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) |
(/.f64 z y) |
(-.f64 (neg.f64 x) z) |
(neg.f64 x) |
(neg.f64 z) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (-.f64 z y))) |
(*.f64 (/.f64 (+.f64 x y) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (pow.f64 (neg.f64 (-.f64 z y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 x y) (neg.f64 (-.f64 z y))) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))) |
(*.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 y z) (-.f64 z y))) (/.f64 z (pow.f64 (+.f64 y z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 z (pow.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 (-.f64 z y) z)) (/.f64 (+.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (/.f64 (-.f64 z y) z)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (-.f64 z y) z)) (/.f64 (+.f64 x y) (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (/.f64 (-.f64 z y) z)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (+.f64 x y) (pow.f64 z #s(literal -1 binary64))) (pow.f64 (-.f64 z y) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (-.f64 z y)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal -2 binary64)))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 z #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 z y))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 (-.f64 z y) z))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (-.f64 z y)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal -2 binary64)))) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 z #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (-.f64 z y))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)))) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 (-.f64 z y) z))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (-.f64 z y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (-.f64 z y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal -2 binary64)))) (/.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal -2 binary64)))) (/.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 z y))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (-.f64 z y))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)))) (/.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal -3 binary64)))) (/.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (-.f64 z y) z))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (-.f64 z y) z))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (-.f64 z y))) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 z y)) (/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (-.f64 z y))) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 z y)) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (-.f64 z y))) (/.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (-.f64 z y))) (/.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 z y)) (/.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 z y)) (/.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (/.f64 (+.f64 x y) (neg.f64 (-.f64 z y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) (/.f64 (+.f64 x y) (-.f64 z y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 z y)) (/.f64 (+.f64 x y) (neg.f64 (pow.f64 z #s(literal -1 binary64))))) |
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(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 z y) z) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
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(fma.f64 (-.f64 (neg.f64 x) z) (/.f64 z y) (neg.f64 z)) |
(fma.f64 (/.f64 z y) (/.f64 (-.f64 (neg.f64 x) z) #s(literal 1 binary64)) (neg.f64 z)) |
(fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 (neg.f64 x) z) (/.f64 z y)) (neg.f64 z)) |
(fma.f64 z (/.f64 (-.f64 (neg.f64 x) z) y) (neg.f64 z)) |
(fma.f64 z (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (neg.f64 x) z)) (neg.f64 z)) |
(fma.f64 z #s(literal -1 binary64) (*.f64 (-.f64 (neg.f64 x) z) (/.f64 z y))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 (neg.f64 z) (*.f64 (-.f64 (neg.f64 x) z) (/.f64 z y)))) (/.f64 (pow.f64 (*.f64 (-.f64 (neg.f64 x) z) (/.f64 z y)) #s(literal 2 binary64)) (-.f64 (neg.f64 z) (*.f64 (-.f64 (neg.f64 x) z) (/.f64 z y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (neg.f64 x) z) (/.f64 z y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 (neg.f64 x) z) (/.f64 z y)) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (*.f64 (-.f64 (neg.f64 x) z) (/.f64 z y)) z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 (neg.f64 x) z) (/.f64 z y)) #s(literal 2 binary64)) (fma.f64 z z (*.f64 (*.f64 (-.f64 (neg.f64 x) z) (/.f64 z y)) z))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (neg.f64 x) z) (/.f64 z y)) #s(literal 2 binary64)) (fma.f64 (-.f64 (neg.f64 x) z) (/.f64 z y) z)) (/.f64 (*.f64 z z) (fma.f64 (-.f64 (neg.f64 x) z) (/.f64 z y) z))) |
(-.f64 (fma.f64 (-.f64 (neg.f64 x) z) (/.f64 z y) #s(literal 0 binary64)) z) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (neg.f64 x) z) (/.f64 z y)) #s(literal 2 binary64)) (fma.f64 (-.f64 (neg.f64 x) z) (/.f64 z y) (*.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 z z) (fma.f64 (-.f64 (neg.f64 x) z) (/.f64 z y) (*.f64 #s(literal 1 binary64) z)))) |
(-.f64 #s(literal 0 binary64) (-.f64 z (*.f64 (-.f64 (neg.f64 x) z) (/.f64 z y)))) |
(-.f64 (*.f64 (-.f64 (neg.f64 x) z) (/.f64 z y)) z) |
(+.f64 (*.f64 (-.f64 (neg.f64 x) z) (/.f64 z y)) (neg.f64 z)) |
(+.f64 (neg.f64 z) (*.f64 (-.f64 (neg.f64 x) z) (/.f64 z y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (-.f64 (neg.f64 x) z) (/.f64 z y) (neg.f64 z))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (neg.f64 z)) |
(*.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 y))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) z) |
(*.f64 (neg.f64 z) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (/.f64 z y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 z y)) |
(*.f64 z (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y z) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (pow.f64 y #s(literal -1 binary64))) (neg.f64 (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) z)) (*.f64 y y)) |
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 z #s(literal 1 binary64)) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(/.f64 (neg.f64 z) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 z y) |
(neg.f64 (/.f64 (neg.f64 z) y)) |
(neg.f64 (/.f64 z (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 z (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (pow.f64 (fma.f64 #s(literal -1 binary64) x z) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (+.f64 x z)) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (*.f64 z (fma.f64 #s(literal -1 binary64) x z))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x z) (fma.f64 x x (*.f64 (neg.f64 z) z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x (*.f64 z (fma.f64 #s(literal -1 binary64) x z))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x z)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x (*.f64 z (fma.f64 #s(literal -1 binary64) x z)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) x z)) (*.f64 (fma.f64 #s(literal -1 binary64) x z) (*.f64 z z))) (*.f64 (fma.f64 #s(literal -1 binary64) x z) (fma.f64 #s(literal -1 binary64) x z))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (fma.f64 #s(literal -1 binary64) x z)))) (*.f64 (fma.f64 x x (*.f64 z (fma.f64 #s(literal -1 binary64) x z))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 x x (*.f64 z (fma.f64 #s(literal -1 binary64) x z))) (fma.f64 x x (*.f64 z (fma.f64 #s(literal -1 binary64) x z))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 0 binary64) z) (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 (+.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 0 binary64) z) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) z) (*.f64 (+.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (*.f64 (+.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (+.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) z) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (*.f64 z z)))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (neg.f64 (fma.f64 x x (*.f64 (neg.f64 z) z))) (neg.f64 (-.f64 (neg.f64 x) (neg.f64 z)))) |
(/.f64 (neg.f64 (fma.f64 x x (*.f64 (neg.f64 z) z))) (neg.f64 (fma.f64 #s(literal -1 binary64) x z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 (neg.f64 x) (neg.f64 z)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 z (fma.f64 #s(literal -1 binary64) x z))))) |
(/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (-.f64 (neg.f64 x) (neg.f64 z))) |
(/.f64 (fma.f64 x x (*.f64 (neg.f64 z) z)) (fma.f64 #s(literal -1 binary64) x z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x z) (fma.f64 x x (*.f64 (neg.f64 z) z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (*.f64 z (fma.f64 #s(literal -1 binary64) x z))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 (neg.f64 x) (neg.f64 z))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 x x (*.f64 z (fma.f64 #s(literal -1 binary64) x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) x z) (fma.f64 x x (*.f64 (neg.f64 z) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 z (fma.f64 #s(literal -1 binary64) x z))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(neg.f64 (+.f64 x z)) |
(fma.f64 #s(literal -1 binary64) x (neg.f64 z)) |
(fma.f64 #s(literal -1 binary64) z (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (neg.f64 z)) |
(fma.f64 z #s(literal -1 binary64) (neg.f64 x)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 (neg.f64 x) (neg.f64 z)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 (neg.f64 x) (neg.f64 z))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 (neg.f64 x) (neg.f64 z)))))) |
(-.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) z) |
(-.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) x z)) (/.f64 (*.f64 z z) (fma.f64 #s(literal -1 binary64) x z))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (fma.f64 #s(literal -1 binary64) x z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 x x (*.f64 z (fma.f64 #s(literal -1 binary64) x z))))) |
(-.f64 #s(literal 0 binary64) (-.f64 x (neg.f64 z))) |
(-.f64 #s(literal 0 binary64) (+.f64 x z)) |
(-.f64 (neg.f64 x) z) |
(+.f64 (neg.f64 z) (neg.f64 x)) |
(+.f64 (neg.f64 x) (neg.f64 z)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))) (neg.f64 (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(neg.f64 z) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 0 binary64) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(-.f64 #s(literal 0 binary64) z) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
Compiled 30 201 to 3 504 computations (88.4% saved)
19 alts after pruning (14 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 534 | 8 | 1 542 |
| Fresh | 3 | 6 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 540 | 19 | 1 559 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.4% | (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) |
| 37.6% | (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) (+.f64 y x)) | |
| ▶ | 91.6% | (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) |
| 35.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 z)) (neg.f64 z))) | |
| ▶ | 42.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) |
| 40.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) | |
| 48.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) | |
| ✓ | 49.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
| ✓ | 48.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
| 15.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x)) | |
| ✓ | 47.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
| 31.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (*.f64 (/.f64 z (*.f64 (+.f64 y z) (-.f64 z y))) (+.f64 y z)) x)) | |
| ▶ | 14.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) |
| ✓ | 35.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| ✓ | 32.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
| 17.3% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y))) | |
| ▶ | 2.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) |
| 38.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) | |
| 41.1% | #s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
Compiled 279 to 244 computations (12.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 z y) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (*.f64 (+.f64 x y) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) | |
| cost-diff | 0 | (-.f64 z y) | |
| cost-diff | 0 | (*.f64 x z) | |
| cost-diff | 0 | (/.f64 (*.f64 x z) (-.f64 z y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) | |
| cost-diff | 0 | (/.f64 x (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) | |
| cost-diff | 0 | (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (*.f64 y (/.f64 y z)) | |
| cost-diff | 0 | #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) | |
| cost-diff | 0 | (-.f64 z y) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (/.f64 (+.f64 x y) (-.f64 z y)) | |
| cost-diff | 0 | (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) |
| 3 792× | lower-fma.f64 |
| 3 792× | lower-fma.f32 |
| 1 400× | lower-*.f32 |
| 1 390× | lower-*.f64 |
| 696× | lower-+.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 188 |
| 0 | 47 | 188 |
| 1 | 82 | 184 |
| 2 | 143 | 184 |
| 3 | 219 | 184 |
| 4 | 339 | 184 |
| 5 | 416 | 184 |
| 6 | 799 | 184 |
| 7 | 1883 | 184 |
| 8 | 3159 | 184 |
| 9 | 3843 | 184 |
| 10 | 4208 | 184 |
| 11 | 4242 | 184 |
| 12 | 4250 | 184 |
| 13 | 4252 | 184 |
| 14 | 4432 | 184 |
| 15 | 4585 | 184 |
| 16 | 4678 | 184 |
| 17 | 4678 | 184 |
| 18 | 4678 | 184 |
| 19 | 4678 | 184 |
| 0 | 4678 | 184 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) |
z |
(/.f64 (+.f64 x y) (-.f64 z y)) |
(+.f64 x y) |
x |
y |
(-.f64 z y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) |
#s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) |
(*.f64 y (/.f64 y z)) |
y |
(/.f64 y z) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) |
(*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) |
#s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) |
(/.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) |
(/.f64 (*.f64 x z) (-.f64 z y)) |
(*.f64 x z) |
x |
z |
(-.f64 z y) |
y |
(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) |
(*.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
(-.f64 z y) |
| Outputs |
|---|
(*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) |
z |
(/.f64 (+.f64 x y) (-.f64 z y)) |
(/.f64 (+.f64 y x) (-.f64 z y)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
(-.f64 z y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y))) |
#s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) |
#s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y)) |
(*.f64 y (/.f64 y z)) |
(*.f64 (/.f64 y z) y) |
y |
(/.f64 y z) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) |
(*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) |
#s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) |
(/.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
(/.f64 (*.f64 x z) (-.f64 z y)) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(*.f64 x z) |
x |
z |
(-.f64 z y) |
y |
(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) |
(*.f64 (+.f64 x y) z) |
(*.f64 (+.f64 y x) z) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
z |
(-.f64 z y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.0078125 | (*.f64 (+.f64 x y) z) | |
| accuracy | 13.17928695612916 | (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) | |
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0 | (*.f64 x z) | |
| accuracy | 7.874470770911322 | (/.f64 (*.f64 x z) (-.f64 z y)) | |
| accuracy | 31.376614086878412 | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 4.354328707895843 | (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) | |
| accuracy | 31.562838386063245 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) | |
| accuracy | 31.69647465307408 | #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0.09765625 | (*.f64 y (/.f64 y z)) | |
| accuracy | 32.53721287107297 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) | |
| accuracy | 40.099192815033824 | #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) | |
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.0234375 | (/.f64 (+.f64 x y) (-.f64 z y)) | |
| accuracy | 5.366878997248819 | (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) |
| 59.0ms | 256× | 0 | valid |
Compiled 135 to 28 computations (79.3% saved)
ival-mult: 16.0ms (44% of total)ival-div: 11.0ms (30.2% of total)ival-add: 5.0ms (13.7% of total)ival-sub: 3.0ms (8.2% of total)ival-neg: 1.0ms (2.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) (patch (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 x y) (-.f64 z y)) (patch (/.f64 (+.f64 x y) (-.f64 z y)) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) (patch #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (/.f64 y z)) (patch (*.f64 y (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) (patch (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) (patch #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (neg.f64 y)) (patch (/.f64 x (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x z) (-.f64 z y)) (patch (/.f64 (*.f64 x z) (-.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x z) (patch (*.f64 x z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) (patch (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) (patch (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) (patch (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) (patch (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) (patch (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ x y) y)) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 z y)) (patch (/.f64 (+.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 z y)) (patch (/.f64 (+.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 z y)) (patch (/.f64 (+.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 z y)) (patch (/.f64 (+.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ x y)) z) (taylor 0 z) (#s(alt #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) (patch #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y (+ x y)) (* z (+ x y))) z) (taylor 0 z) (#s(alt #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) (patch #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y (+ x y)) (* z (+ x y))) z) (taylor 0 z) (#s(alt #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) (patch #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y (+ x y)) (* z (+ x y))) z) (taylor 0 z) (#s(alt #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) (patch #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) z) (taylor 0 z) (#s(alt (*.f64 y (/.f64 y z)) (patch (*.f64 y (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) z) (taylor 0 z) (#s(alt (*.f64 y (/.f64 y z)) (patch (*.f64 y (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) z) (taylor 0 z) (#s(alt (*.f64 y (/.f64 y z)) (patch (*.f64 y (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow y 2) z) (taylor 0 z) (#s(alt (*.f64 y (/.f64 y z)) (patch (*.f64 y (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (/ x y)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) (patch (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (/ x y)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) (patch (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (/ x y)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) (patch (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (/ x y)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) (patch (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ (/ z (- z y)) (/ (* y z) (* x (- z y))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) (patch (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) (patch (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) (taylor -inf x) (#s(alt (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) (patch (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) (taylor -inf x) (#s(alt (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) (patch (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) (taylor -inf x) (#s(alt (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) (patch (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 z y)) (patch (/.f64 (+.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- z y)))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 z y)) (patch (/.f64 (+.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- z y)))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 z y)) (patch (/.f64 (+.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- z y)))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 z y)) (patch (/.f64 (+.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) (patch #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) (patch #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) (patch #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) (patch #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) (patch (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ z x) (/ z y)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) (patch (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ z x) (/ z y)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) (patch (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ z x) (/ z y)))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) (patch (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) (patch #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) (patch #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) (patch #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) (patch #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (neg.f64 y)) (patch (/.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (neg.f64 y)) (patch (/.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (neg.f64 y)) (patch (/.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 x (neg.f64 y)) (patch (/.f64 x (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x z) (-.f64 z y)) (patch (/.f64 (*.f64 x z) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x z) (-.f64 z y)) (patch (/.f64 (*.f64 x z) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x z) (-.f64 z y)) (patch (/.f64 (*.f64 x z) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x z) (-.f64 z y)) (patch (/.f64 (*.f64 x z) (-.f64 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 (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) (patch (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) (patch (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) (patch (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) (patch (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | -inf | ((* z (/ (+ x y) (- z y))) (/ (+ x y) (- z y)) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* y (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x (neg y)) (/ (+ x y) (- 1 (/ y z))) (/ (* x z) (- z y)) (* x z) (/ (* (+ x y) z) (- z y)) (* (+ x y) z) (neg y)) |
| 2.0ms | x | @ | -inf | ((* z (/ (+ x y) (- z y))) (/ (+ x y) (- z y)) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* y (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x (neg y)) (/ (+ x y) (- 1 (/ y z))) (/ (* x z) (- z y)) (* x z) (/ (* (+ x y) z) (- z y)) (* (+ x y) z) (neg y)) |
| 2.0ms | x | @ | inf | ((* z (/ (+ x y) (- z y))) (/ (+ x y) (- z y)) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* y (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x (neg y)) (/ (+ x y) (- 1 (/ y z))) (/ (* x z) (- z y)) (* x z) (/ (* (+ x y) z) (- z y)) (* (+ x y) z) (neg y)) |
| 2.0ms | y | @ | inf | ((* z (/ (+ x y) (- z y))) (/ (+ x y) (- z y)) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* y (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x (neg y)) (/ (+ x y) (- 1 (/ y z))) (/ (* x z) (- z y)) (* x z) (/ (* (+ x y) z) (- z y)) (* (+ x y) z) (neg y)) |
| 2.0ms | z | @ | inf | ((* z (/ (+ x y) (- z y))) (/ (+ x y) (- z y)) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* y (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x (neg y)) (/ (+ x y) (- 1 (/ y z))) (/ (* x z) (- z y)) (* x z) (/ (* (+ x y) z) (- z y)) (* (+ x y) z) (neg y)) |
| 1× | egg-herbie |
| 10 868× | lower-fma.f64 |
| 10 868× | lower-fma.f32 |
| 4 824× | lower-*.f64 |
| 4 824× | lower-*.f32 |
| 3 066× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 469 | 6244 |
| 1 | 1548 | 5846 |
| 2 | 4736 | 5550 |
| 0 | 8312 | 5268 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* -1 (/ (+ x y) y)) |
(+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))) |
(+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))) |
(+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))) |
(* -1 y) |
(- z y) |
(- z y) |
(- z y) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(/ (* y (+ x y)) z) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) |
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) |
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* -1 (/ (* z (+ x y)) y)) |
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(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
(/ (pow y 2) z) |
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(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ (* x z) (- z y)) |
(* x (+ (/ z (- z y)) (/ (* y z) (* x (- z y))))) |
(* x (+ (/ z (- z y)) (/ (* y z) (* x (- z y))))) |
(* x (+ (/ z (- z y)) (/ (* y z) (* x (- z y))))) |
(* x z) |
(* x (+ z (/ (* y z) x))) |
(* x (+ z (/ (* y z) x))) |
(* x (+ z (/ (* y z) x))) |
(/ (* x z) (- z y)) |
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) |
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) |
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) |
(/ x (- z y)) |
(* -1 (* x (- (* -1 (/ y (* x (- z y)))) (/ 1 (- z y))))) |
(* -1 (* x (- (* -1 (/ y (* x (- z y)))) (/ 1 (- z y))))) |
(* -1 (* x (- (* -1 (/ y (* x (- z y)))) (/ 1 (- z y))))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (/ (* x z) y)) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ (* x z) (- z y)) |
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) |
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) |
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
| Outputs |
|---|
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (/.f64 z y) y) x (/.f64 z y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* -1 (/ (+ x y) y)) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y))) |
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (/.f64 z y) y) x (/.f64 z y))) |
(+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2)))))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* -1 y) |
(neg.f64 y) |
(- z y) |
(-.f64 z y) |
(- z y) |
(-.f64 z y) |
(- z y) |
(-.f64 z y) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (/.f64 z y) y) x (/.f64 z y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(/ (* y (+ x y)) z) |
(/.f64 (*.f64 (+.f64 y x) y) z) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(*.f64 (+.f64 y x) (/.f64 (+.f64 y z) z)) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(*.f64 (+.f64 y x) (/.f64 (+.f64 y z) z)) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(*.f64 (+.f64 y x) (/.f64 (+.f64 y z) z)) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (/.f64 z y) y) x (/.f64 z y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* -1 (* z (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* -1 (* z (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* -1 (* z (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* -1 (* z (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (/.f64 z y) y) x (/.f64 z y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) |
(/.f64 (*.f64 x (fma.f64 z (/.f64 z y) z)) (neg.f64 y)) |
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) x (/.f64 x (*.f64 y y)))) z (/.f64 x (neg.f64 y))) z) |
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64))))) z (/.f64 (/.f64 x (neg.f64 y)) y)) z (/.f64 x (neg.f64 y))) z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (fma.f64 (/.f64 (/.f64 z y) y) x (/.f64 z y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) z (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 (fma.f64 (+.f64 y x) (/.f64 y z) y) x) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(+.f64 (+.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) z))) z) y) x) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+.f64 (fma.f64 (+.f64 y x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) z))) z) y)) x) |
(/ (+ x y) z) |
(/.f64 (+.f64 y x) z) |
(/ (+ x (+ y (/ (* y (+ x y)) z))) z) |
(/.f64 (+.f64 (fma.f64 (+.f64 y x) (/.f64 y z) y) x) z) |
(/ (- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) z) |
(/.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) z))) z) y) x) z) |
(/ (- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) z) |
(/.f64 (+.f64 (fma.f64 (+.f64 y x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) z))) z) y)) x) z) |
z |
(* z (+ 1 (* -1 (/ y z)))) |
(fma.f64 (/.f64 (neg.f64 y) z) z z) |
(* z (+ 1 (* -1 (/ y z)))) |
(fma.f64 (/.f64 (neg.f64 y) z) z z) |
(* z (+ 1 (* -1 (/ y z)))) |
(fma.f64 (/.f64 (neg.f64 y) z) z z) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 (fma.f64 (+.f64 y x) (/.f64 y z) y) x) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(+.f64 (+.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) z))) z) y) x) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+.f64 (fma.f64 (+.f64 y x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) z))) z) y)) x) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 (fma.f64 (+.f64 y x) (/.f64 y z) y) x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 (fma.f64 (+.f64 y x) (/.f64 y z) y) x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 (fma.f64 (+.f64 y x) (/.f64 y z) y) x) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 (fma.f64 (+.f64 y x) (/.f64 y z) y) x) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(+.f64 (+.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) z))) z) y) x) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+.f64 (fma.f64 (+.f64 y x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) z))) z) y)) x) |
(* -1 (* z (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* -1 (* z (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* -1 (* z (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* -1 (* z (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 (fma.f64 (+.f64 y x) (/.f64 y z) y) x) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(+.f64 (+.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) z))) z) y) x) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+.f64 (fma.f64 (+.f64 y x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) z))) z) y)) x) |
x |
(+ x (/ (* x y) z)) |
(fma.f64 (/.f64 x z) y x) |
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(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(/ (* y z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) y) |
(+ (/ (* x z) (- z y)) (/ (* y z) (- z y))) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) |
(+ (/ (* x z) (- z y)) (/ (* y z) (- z y))) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) |
(+ (/ (* x z) (- z y)) (/ (* y z) (- z y))) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) |
(* y z) |
(*.f64 y z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(+ (* x z) (* y z)) |
(*.f64 (+.f64 y x) z) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(* x (+ (/ z (- z y)) (/ (* y z) (* x (- z y))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))) x) |
(* x (+ (/ z (- z y)) (/ (* y z) (* x (- z y))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))) x) |
(* x (+ (/ z (- z y)) (/ (* y z) (* x (- z y))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))) x) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(* x (+ (/ 1 (- z y)) (/ y (* x (- z y))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 z y)) x) x (/.f64 x (-.f64 z y))) |
(* x (+ (/ 1 (- z y)) (/ y (* x (- z y))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 z y)) x) x (/.f64 x (-.f64 z y))) |
(* x (+ (/ 1 (- z y)) (/ y (* x (- z y))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 z y)) x) x (/.f64 x (-.f64 z y))) |
x |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(* x (+ 1 (/ y x))) |
(fma.f64 (/.f64 y x) x x) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* x (+ 1 (/ y z))) |
(fma.f64 (/.f64 x z) y x) |
(* x (+ 1 (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z)))))) |
(fma.f64 (+.f64 (fma.f64 (/.f64 y x) (/.f64 y z) (/.f64 y z)) (/.f64 y x)) x x) |
(* x (+ 1 (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z)))))) |
(fma.f64 (+.f64 (fma.f64 (/.f64 y x) (/.f64 y z) (/.f64 y z)) (/.f64 y x)) x x) |
(* x (+ 1 (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z)))))) |
(fma.f64 (+.f64 (fma.f64 (/.f64 y x) (/.f64 y z) (/.f64 y z)) (/.f64 y x)) x x) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* x (+ (* -1 (/ z x)) (* -1 (/ z y)))) |
(*.f64 (+.f64 (/.f64 z x) (/.f64 z y)) (neg.f64 x)) |
(* x (+ (* -1 (/ z x)) (* -1 (/ z y)))) |
(*.f64 (+.f64 (/.f64 z x) (/.f64 z y)) (neg.f64 x)) |
(* x (+ (* -1 (/ z x)) (* -1 (/ z y)))) |
(*.f64 (+.f64 (/.f64 z x) (/.f64 z y)) (neg.f64 x)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(* x (+ (/ z (- z y)) (/ (* y z) (* x (- z y))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))) x) |
(* x (+ (/ z (- z y)) (/ (* y z) (* x (- z y))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))) x) |
(* x (+ (/ z (- z y)) (/ (* y z) (* x (- z y))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))) x) |
(* x z) |
(*.f64 x z) |
(* x (+ z (/ (* y z) x))) |
(*.f64 (fma.f64 (/.f64 z x) y z) x) |
(* x (+ z (/ (* y z) x))) |
(*.f64 (fma.f64 (/.f64 z x) y z) x) |
(* x (+ z (/ (* y z) x))) |
(*.f64 (fma.f64 (/.f64 z x) y z) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))) x) |
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))) x) |
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))) x) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(* -1 (* x (- (* -1 (/ y (* x (- z y)))) (/ 1 (- z y))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 z y)) x) x (/.f64 x (-.f64 z y))) |
(* -1 (* x (- (* -1 (/ y (* x (- z y)))) (/ 1 (- z y))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 z y)) x) x (/.f64 x (-.f64 z y))) |
(* -1 (* x (- (* -1 (/ y (* x (- z y)))) (/ 1 (- z y))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 z y)) x) x (/.f64 x (-.f64 z y))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(fma.f64 (/.f64 (neg.f64 y) x) (neg.f64 x) x) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 x z) y x) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 y (/.f64 y z) y) (neg.f64 x)) (/.f64 y z)) (neg.f64 x) x) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 y (/.f64 y z) y) (neg.f64 x)) (/.f64 y z)) (neg.f64 x) x) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(fma.f64 (-.f64 (/.f64 (fma.f64 y (/.f64 y z) y) (neg.f64 x)) (/.f64 y z)) (neg.f64 x) x) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(*.f64 (+.f64 (/.f64 z x) (/.f64 z y)) (neg.f64 x)) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(*.f64 (+.f64 (/.f64 z x) (/.f64 z y)) (neg.f64 x)) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(*.f64 (+.f64 (/.f64 z x) (/.f64 z y)) (neg.f64 x)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(/ x (- 1 (/ y z))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(fma.f64 (/.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(* x z) |
(*.f64 x z) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))) x) |
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))) x) |
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) |
(*.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))) x) |
(* x z) |
(*.f64 x z) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (fma.f64 (/.f64 z x) y z) x) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (fma.f64 (/.f64 z x) y z) x) |
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x))))) |
(*.f64 (fma.f64 (/.f64 z x) y z) x) |
| 5 444× | lower-*.f32 |
| 5 434× | lower-*.f64 |
| 5 412× | lower-/.f32 |
| 5 402× | lower-/.f64 |
| 2 636× | lower--.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 165 |
| 0 | 47 | 165 |
| 1 | 197 | 161 |
| 2 | 1675 | 161 |
| 0 | 8557 | 161 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) |
(/.f64 (+.f64 x y) (-.f64 z y)) |
(+.f64 x y) |
(-.f64 z y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) |
#s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z))) |
(*.f64 y (/.f64 y z)) |
(/.f64 y z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) |
(*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z) |
#s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) |
(/.f64 x (neg.f64 y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) |
(/.f64 (*.f64 x z) (-.f64 z y)) |
(*.f64 x z) |
(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) |
(*.f64 (+.f64 x y) z) |
(neg.f64 y) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 y x) (-.f64 x y)))) (/.f64 z (-.f64 x y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (+.f64 y x) (-.f64 y x)))) (/.f64 z (-.f64 y x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 z (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 z (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 z (/.f64 (-.f64 z y) (*.f64 (+.f64 y x) (-.f64 x y)))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (/.f64 z (/.f64 (-.f64 z y) (*.f64 (+.f64 y x) (-.f64 y x)))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 z (/.f64 (-.f64 z y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 z (/.f64 (-.f64 z y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)) (/.f64 z (-.f64 z y))) |
(*.f64 (/.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (-.f64 z y))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 y x)) (-.f64 z y))) |
(*.f64 (/.f64 z (*.f64 (+.f64 y z) (-.f64 z y))) (/.f64 (+.f64 y x) (pow.f64 (+.f64 y z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (+.f64 y x) (pow.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y z) (-.f64 z y))) (/.f64 z (pow.f64 (+.f64 y z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 z (pow.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 z (+.f64 y z)) (/.f64 (+.f64 y x) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y z) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 z (+.f64 y z)) (/.f64 (+.f64 y x) (-.f64 z y))) (+.f64 y z)) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y z) (*.f64 z z))) |
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (+.f64 y x) (-.f64 z y))) |
(*.f64 (/.f64 z (-.f64 z y)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
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(*.f64 (/.f64 z (/.f64 (-.f64 z y) (*.f64 (+.f64 y x) (-.f64 x y)))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (/.f64 z (/.f64 (-.f64 z y) (*.f64 (+.f64 y x) (-.f64 y x)))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 z (/.f64 (-.f64 z y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 z (/.f64 (-.f64 z y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64)) (/.f64 z (-.f64 z y))) |
(*.f64 (/.f64 (+.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (-.f64 z y))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 y x)) (-.f64 z y))) |
(*.f64 (/.f64 z (*.f64 (+.f64 y z) (-.f64 z y))) (/.f64 (+.f64 y x) (pow.f64 (+.f64 y z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 z (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (+.f64 y x) (pow.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y z) (-.f64 z y))) (/.f64 z (pow.f64 (+.f64 y z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 z (pow.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 z (+.f64 y z)) (/.f64 (+.f64 y x) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y z) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 z (+.f64 y z)) (/.f64 (+.f64 y x) (-.f64 z y))) (+.f64 y z)) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y z) (*.f64 z z))) |
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (+.f64 y x) (-.f64 z y))) |
(*.f64 (/.f64 z (-.f64 z y)) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) |
(*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (/.f64 z (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (+.f64 y x) z) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) (*.f64 (+.f64 y x) z)) |
(*.f64 (*.f64 (neg.f64 z) (+.f64 y x)) (pow.f64 (fma.f64 #s(literal -1 binary64) z y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 y x) z) (pow.f64 (-.f64 z y) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 z y)) z) |
(*.f64 (+.f64 y x) (*.f64 (pow.f64 (-.f64 z y) #s(literal -1 binary64)) z)) |
(*.f64 (+.f64 y x) (/.f64 z (-.f64 z y))) |
(*.f64 z (/.f64 (+.f64 y x) (-.f64 z y))) |
(pow.f64 (/.f64 (/.f64 (/.f64 (-.f64 z y) z) (+.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 z y) z) (+.f64 y x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) z)) (neg.f64 (/.f64 (-.f64 z y) (+.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 z (-.f64 z y)))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 z (-.f64 z y)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (-.f64 z y)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (-.f64 z y)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) z) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) z y)) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 (/.f64 (-.f64 z y) (+.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 z) (+.f64 y x)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) z y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) z)) (neg.f64 (*.f64 (-.f64 x y) (-.f64 z y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z)) (neg.f64 (*.f64 (-.f64 y x) (-.f64 z y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)) (neg.f64 (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 z y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)) (neg.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 z y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 z y) (+.f64 y x))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 z (-.f64 z y))) (-.f64 x y)) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (/.f64 z (-.f64 z y))) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (-.f64 z y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 z (-.f64 z y))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) z) #s(literal 1 binary64)) (-.f64 z y)) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 (-.f64 z y) (+.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (+.f64 y x))) (neg.f64 (fma.f64 #s(literal -1 binary64) z y))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) z) (*.f64 (-.f64 x y) (-.f64 z y))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z) (*.f64 (-.f64 y x) (-.f64 z y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 z y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 z y))) |
(/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) (fma.f64 #s(literal -1 binary64) z y)) |
(/.f64 (neg.f64 z) (neg.f64 (/.f64 (-.f64 z y) (+.f64 y x)))) |
(/.f64 (*.f64 (+.f64 y x) z) (-.f64 z y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 z y) z) (+.f64 y x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 z y) z) (+.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (-.f64 z y) z) (+.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 z y) z) (+.f64 y x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 z y) z) (+.f64 y x))) |
(/.f64 z (/.f64 (-.f64 z y) (+.f64 y x))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 z) (+.f64 y x)) (-.f64 z y))) |
(neg.f64 (/.f64 (*.f64 (+.f64 y x) z) (fma.f64 #s(literal -1 binary64) z y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) z y)) (/.f64 (*.f64 (+.f64 y x) z) (fma.f64 #s(literal -1 binary64) z y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 z y) z) (+.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 y x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) z)) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z)) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 z (*.f64 (+.f64 y x) (-.f64 x y)))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 z (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) z) (-.f64 x y)) |
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 z (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (*.f64 z (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(fma.f64 y z (*.f64 x z)) |
(fma.f64 x z (*.f64 y z)) |
(fma.f64 z y (*.f64 x z)) |
(fma.f64 z x (*.f64 y z)) |
(+.f64 (*.f64 y z) (*.f64 x z)) |
(+.f64 (*.f64 x z) (*.f64 y z)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) |
(neg.f64 y) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
Compiled 16 630 to 1 889 computations (88.6% saved)
20 alts after pruning (12 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 119 | 4 | 1 123 |
| Fresh | 1 | 8 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 122 | 20 | 1 142 |
| Status | Accuracy | Program |
|---|---|---|
| 41.8% | (/.f64 (*.f64 (+.f64 x y) z) #s(approx (- z y) (neg.f64 y))) | |
| 40.1% | (/.f64 #s(approx (* (+ x y) z) (*.f64 y z)) (-.f64 z y)) | |
| 37.6% | (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) (+.f64 y x)) | |
| 50.3% | (*.f64 z #s(approx (/ (+ x y) (- z y)) (/.f64 y (-.f64 z y)))) | |
| 35.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 z)) (neg.f64 z))) | |
| ✓ | 42.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) |
| 16.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))) | |
| 40.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) | |
| 48.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) | |
| ✓ | 49.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
| ✓ | 48.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
| 15.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x)) | |
| ✓ | 47.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
| 31.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (*.f64 (/.f64 z (*.f64 (+.f64 y z) (-.f64 z y))) (+.f64 y z)) x)) | |
| ✓ | 14.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) |
| ✓ | 35.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| ✓ | 32.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
| 17.3% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y))) | |
| ✓ | 2.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) |
| 38.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
Compiled 479 to 260 computations (45.7% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))) |
#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) |
(*.f64 z #s(approx (/ (+ x y) (- z y)) (/.f64 y (-.f64 z y)))) |
(/.f64 #s(approx (* (+ x y) z) (*.f64 y z)) (-.f64 z y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 z)) (neg.f64 z))) |
(*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) (+.f64 y x)) |
(/.f64 (*.f64 (+.f64 x y) z) #s(approx (- z y) (neg.f64 y))) |
(*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) |
(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (*.f64 (/.f64 z (*.f64 (+.f64 y z) (-.f64 z y))) (+.f64 y z)) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (*.f64 z (+.f64 (+.f64 (/.f64 (*.f64 z (+.f64 z x)) y) x) z)) (neg.f64 y)) z)) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 y x)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (*.f64 z (+.f64 (+.f64 (/.f64 (*.f64 z (+.f64 z x)) y) x) z)) (neg.f64 y)) z)) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
4 calls:
| 47.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 10.0ms | z |
| 10.0ms | y |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 1 | x |
| 99.9% | 3 | y |
| 97.6% | 3 | z |
| 99.9% | 3 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))) |
#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) |
(*.f64 z #s(approx (/ (+ x y) (- z y)) (/.f64 y (-.f64 z y)))) |
(/.f64 #s(approx (* (+ x y) z) (*.f64 y z)) (-.f64 z y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 z)) (neg.f64 z))) |
(*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) (+.f64 y x)) |
(/.f64 (*.f64 (+.f64 x y) z) #s(approx (- z y) (neg.f64 y))) |
(*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) |
(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(/.f64 (+.f64 x y) (fma.f64 (/.f64 #s(literal -1 binary64) z) y #s(literal 1 binary64))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (*.f64 (/.f64 z (*.f64 (+.f64 y z) (-.f64 z y))) (+.f64 y z)) x)) |
| Outputs |
|---|
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
1 calls:
| 9.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
Compiled 9 to 8 computations (11.1% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))) |
#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) |
(*.f64 z #s(approx (/ (+ x y) (- z y)) (/.f64 y (-.f64 z y)))) |
(/.f64 #s(approx (* (+ x y) z) (*.f64 y z)) (-.f64 z y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 z)) (neg.f64 z))) |
(*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) (+.f64 y x)) |
(/.f64 (*.f64 (+.f64 x y) z) #s(approx (- z y) (neg.f64 y))) |
(*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) |
(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) |
| Outputs |
|---|
(*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) |
(*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) |
2 calls:
| 11.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | y |
| 99.8% | 3 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
Compiled 10 to 11 computations (-10% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))) |
#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) |
(*.f64 z #s(approx (/ (+ x y) (- z y)) (/.f64 y (-.f64 z y)))) |
(/.f64 #s(approx (* (+ x y) z) (*.f64 y z)) (-.f64 z y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 z)) (neg.f64 z))) |
(*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) (+.f64 y x)) |
(/.f64 (*.f64 (+.f64 x y) z) #s(approx (- z y) (neg.f64 y))) |
(*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) |
| Outputs |
|---|
(*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
(*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) |
3 calls:
| 9.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 7.0ms | z |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 1 | z |
| 91.6% | 1 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 97.4% | 3 | y |
Compiled 11 to 14 computations (-27.3% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))) |
#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) |
(*.f64 z #s(approx (/ (+ x y) (- z y)) (/.f64 y (-.f64 z y)))) |
(/.f64 #s(approx (* (+ x y) z) (*.f64 y z)) (-.f64 z y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) #s(approx (- (neg x) z) (neg.f64 z)) (neg.f64 z))) |
(*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) (+.f64 y x)) |
(/.f64 (*.f64 (+.f64 x y) z) #s(approx (- z y) (neg.f64 y))) |
| Outputs |
|---|
(*.f64 z #s(approx (/ (+ x y) (- z y)) (/.f64 y (-.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
4 calls:
| 37.0ms | y |
| 6.0ms | x |
| 6.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 6.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.5% | 3 | x |
| 74.6% | 3 | z |
| 69.4% | 4 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 82.9% | 4 | y |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))) |
#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) (-.f64 z y))) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
1 calls:
| 17.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.1% | 5 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))) |
#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.6% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 y (/.f64 y z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ y x) (fma.f64 (/.f64 x y) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 y (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 x (neg.f64 y))) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 x z) #s(approx (- z y) (neg.f64 y)))) |
#s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
3 calls:
| 7.0ms | x |
| 4.0ms | y |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.7% | 4 | x |
| 63.1% | 3 | z |
| 72.6% | 3 | y |
Compiled 3 to 9 computations (-200% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
4 calls:
| 1.0ms | y |
| 1.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 1.0ms | z |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.9% | 1 | x |
| 35.9% | 1 | z |
| 35.9% | 1 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 35.9% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 1.977045275013438e-291 |
| 0.0ms | -2.2787184397976848e-269 | -6.55241996404812e-274 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.0 | 1.977045275013438e-291 |
| 0.0ms | -2.2787184397976848e-269 | -6.55241996404812e-274 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 4.879134505053834e-25 | 1.6813064075814558e-22 |
| 30.0ms | -5.4274134317058696e+98 | -4.5332727690284537e+89 |
| 30.0ms | 272× | 0 | valid |
Compiled 318 to 286 computations (10.1% saved)
ival-add: 19.0ms (77.7% of total)ival-div: 3.0ms (12.3% of total)ival-sub: 1.0ms (4.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 5.926369687815336e-164 | 3.289756039629293e-163 |
| 31.0ms | -2.3716789434859536e-155 | -5.295666605621096e-162 |
| 30.0ms | 240× | 0 | valid |
Compiled 267 to 254 computations (4.9% saved)
ival-sub: 20.0ms (80% of total)ival-div: 3.0ms (12% of total)ival-add: 1.0ms (4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 7084.1963035811295 | 2080325.2067072806 |
| 13.0ms | 1.5030621408844315e-136 | 2.881238893899101e-125 |
| 14.0ms | -1.1927445514509656e-8 | -3.075685247391087e-12 |
| 25.0ms | 415× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
Compiled 356 to 402 computations (-12.9% saved)
ival-add: 6.0ms (38.5% of total)ival-div: 5.0ms (32.1% of total)ival-sub: 4.0ms (25.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 7084.1963035811295 | 2080325.2067072806 |
| 1.0ms | 1.5030621408844315e-136 | 2.881238893899101e-125 |
| 1.0ms | -1.1927445514509656e-8 | -3.075685247391087e-12 |
| 12.0ms | -6.55569082414931e+139 | -3.010600941143511e+132 |
| 7.0ms | 144× | 0 | valid |
Compiled 500 to 555 computations (-11% saved)
ival-div: 2.0ms (59% of total)ival-sub: 1.0ms (29.5% of total)ival-add: 1.0ms (29.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7084.1963035811295 | 2080325.2067072806 |
| 4.0ms | -5.4274134317058696e+98 | -4.5332727690284537e+89 |
| 2.0ms | 48× | 0 | valid |
Compiled 216 to 269 computations (-24.5% saved)
ival-div: 1.0ms (89.3% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 7084.1963035811295 | 2080325.2067072806 |
| 6.0ms | -5.4274134317058696e+98 | -4.5332727690284537e+89 |
| 6.0ms | 128× | 0 | valid |
Compiled 131 to 218 computations (-66.4% saved)
ival-div: 2.0ms (65.6% of total)ival-sub: 1.0ms (32.8% of total)ival-add: 1.0ms (32.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 52× | +-commutative-binary64-+.f64 |
| 50× | *-commutative-binary64-*.f64 |
| 38× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 34× | neg-sub0-binary64--.f64-neg.f64 |
| 34× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 492 |
| 1 | 127 | 491 |
| 2 | 155 | 491 |
| 3 | 192 | 491 |
| 4 | 210 | 491 |
| 5 | 224 | 491 |
| 6 | 235 | 491 |
| 7 | 245 | 491 |
| 8 | 252 | 491 |
| 9 | 257 | 491 |
| 10 | 258 | 491 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1487016908477783/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (*.f64 z (+.f64 (+.f64 (/.f64 (*.f64 z (+.f64 z x)) y) x) z)) (neg.f64 y)) z)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1487016908477783/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(if (<=.f64 y #s(literal -649999999999999961252941443179045468386714953071063824992943078245024843066876967537082368 binary64)) (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) (if (<=.f64 y #s(literal 1531270651144223/170141183460469231731687303715884105728 binary64)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))))) |
(if (<=.f64 y #s(literal -785125626436223/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632 binary64)) (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) (if (<=.f64 y #s(literal 1985608035890319/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))))) |
(if (<=.f64 y #s(literal -5077488442381443/2417851639229258349412352 binary64)) (*.f64 z #s(approx (/ (+ x y) (- z y)) (/.f64 y (-.f64 z y)))) (if (<=.f64 y #s(literal 3365635155809429/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) (if (<=.f64 y #s(literal 680000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))))) |
(if (<=.f64 y #s(literal -14999999999999998943273510485928737391253685293587050834861225696347097405086206008771446524311194412472030603682137672137824175864676352 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal -5077488442381443/2417851639229258349412352 binary64)) #s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) (if (<=.f64 y #s(literal 3365635155809429/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) (if (<=.f64 y #s(literal 680000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)))))) |
(if (<=.f64 y #s(literal -459999999999999977797999120364398197319723199752450630593112150759845888314226633152135168 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal 680000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)))) |
(if (<=.f64 y #s(literal -899999999999999981143522658499169754175771488112791453977604077582223111871920995890626560 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 1020000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1487016908477783/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (/.f64 (*.f64 z (+.f64 (+.f64 (/.f64 (*.f64 z (+.f64 z x)) y) x) z)) (neg.f64 y)) z)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1487016908477783/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 binary64)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 (+.f64 (/.f64 (*.f64 (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 z x) z) y) x) z) z) y) z))) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1487016908477783/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1487016908477783/74350845423889153139903124907495028006563010082969722952788592965797032858020218677258415724807817529489936189509648652522729262277245285389541529055119731289148542022372993697134320491714886843511959789117571860303387435343894004407854947017432904150602255272707195641188267440734208 binary64)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (-.f64 (*.f64 (/.f64 (neg.f64 x) y) z) z)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(if (<=.f64 y #s(literal -649999999999999961252941443179045468386714953071063824992943078245024843066876967537082368 binary64)) (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) (if (<=.f64 y #s(literal 1531270651144223/170141183460469231731687303715884105728 binary64)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))))) |
(if (<=.f64 y #s(literal -649999999999999961252941443179045468386714953071063824992943078245024843066876967537082368 binary64)) (*.f64 (/.f64 (+.f64 y x) (-.f64 z y)) z) (if (<=.f64 y #s(literal 1531270651144223/170141183460469231731687303715884105728 binary64)) (*.f64 (+.f64 y x) (/.f64 z (-.f64 z y))) (*.f64 (/.f64 (+.f64 y x) (-.f64 z y)) z))) |
(if (<=.f64 y #s(literal -785125626436223/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632 binary64)) (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))) (if (<=.f64 y #s(literal 1985608035890319/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) (*.f64 z (/.f64 (+.f64 x y) (-.f64 z y))))) |
(if (<=.f64 y #s(literal -785125626436223/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632 binary64)) (*.f64 (/.f64 (+.f64 y x) (-.f64 z y)) z) (if (<=.f64 y #s(literal 1985608035890319/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) (*.f64 (/.f64 (+.f64 y x) (-.f64 z y)) z))) |
(if (<=.f64 y #s(literal -5077488442381443/2417851639229258349412352 binary64)) (*.f64 z #s(approx (/ (+ x y) (- z y)) (/.f64 y (-.f64 z y)))) (if (<=.f64 y #s(literal 3365635155809429/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) (if (<=.f64 y #s(literal 680000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))))) |
(if (<=.f64 y #s(literal -5077488442381443/2417851639229258349412352 binary64)) (*.f64 #s(approx (/ (+ x y) (- z y)) (/.f64 y (-.f64 z y))) z) (if (<=.f64 y #s(literal 3365635155809429/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) (if (<=.f64 y #s(literal 680000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z))))) |
(if (<=.f64 y #s(literal -14999999999999998943273510485928737391253685293587050834861225696347097405086206008771446524311194412472030603682137672137824175864676352 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal -5077488442381443/2417851639229258349412352 binary64)) #s(approx (* (/ z (- z y)) (+ y x)) (*.f64 (/.f64 z (-.f64 z y)) y)) (if (<=.f64 y #s(literal 3365635155809429/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) (if (<=.f64 y #s(literal 680000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)))))) |
(if (<=.f64 y #s(literal -459999999999999977797999120364398197319723199752450630593112150759845888314226633152135168 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal 680000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)))) |
(if (<=.f64 y #s(literal -899999999999999981143522658499169754175771488112791453977604077582223111871920995890626560 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 1020000 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| 17 244× | lower-fma.f64 |
| 17 244× | lower-fma.f32 |
| 11 788× | lower-fma.f64 |
| 11 788× | lower-fma.f32 |
| 10 868× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 0 | 12 | 20 |
| 1 | 56 | 20 |
| 2 | 432 | 20 |
| 3 | 7705 | 20 |
| 0 | 8025 | 20 |
| 0 | 181 | 958 |
| 1 | 589 | 915 |
| 2 | 1844 | 852 |
| 3 | 7144 | 833 |
| 0 | 8245 | 790 |
| 0 | 28 | 144 |
| 0 | 45 | 145 |
| 1 | 205 | 140 |
| 2 | 1849 | 140 |
| 0 | 8296 | 140 |
| 0 | 28 | 145 |
| 0 | 42 | 145 |
| 1 | 188 | 145 |
| 2 | 1661 | 145 |
| 0 | 8196 | 145 |
| 0 | 469 | 6244 |
| 1 | 1548 | 5846 |
| 2 | 4736 | 5550 |
| 0 | 8312 | 5268 |
| 0 | 452 | 5934 |
| 1 | 1453 | 5541 |
| 2 | 4276 | 4954 |
| 0 | 8201 | 4739 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 749 to 365 computations (51.3% saved)
Compiled 728 to 222 computations (69.5% saved)
Loading profile data...