
Time bar (total: 6.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 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)
| 1.0s | 8 254× | 0 | valid |
| 0.0ms | 1× | 3 | valid |
| 0.0ms | 1× | 1 | valid |
ival-div: 376.0ms (56.3% of total)ival-sub: 139.0ms (20.8% of total)ival-add: 137.0ms (20.5% of total)ival-true: 6.0ms (0.9% of total)exact: 5.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 36 | 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 | 36 | 0 |
| ↳ | (/.f64 y z) | overflow | 36 | |
| ↳ | (-.f64 #s(literal 1 binary64) (/.f64 y z)) | overflow | 36 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 36 | 0 |
| - | 0 | 220 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 36 | 0 | 0 |
| - | 0 | 0 | 220 |
| number | freq |
|---|---|
| 0 | 220 |
| 1 | 36 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 35.0ms | 512× | 0 | valid |
Compiled 133 to 58 computations (56.4% saved)
ival-div: 8.0ms (44.6% of total)ival-add: 7.0ms (39.1% of total)ival-sub: 3.0ms (16.7% of total)ival-true: 1.0ms (5.6% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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 |
|---|---|---|
| ▶ | 86.7% | (/.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))) |
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 | 8.538064664735414 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 17.0ms | 256× | 0 | valid |
Compiled 50 to 18 computations (64% saved)
ival-div: 3.0ms (45% of total)ival-add: 2.0ms (30% of total)ival-sub: 1.0ms (15% 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 | |
|---|---|---|---|---|
| 12.0ms | z | @ | 0 | ((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z)) |
| 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 | @ | inf | ((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z)) |
| 1× | egg-herbie |
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) |
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 |
|---|
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Compiled 8 965 to 1 012 computations (88.7% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 425 | 12 | 437 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 425 | 13 | 438 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.7% | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 69.1% | (/.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) | |
| 49.1% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 y x))) | |
| ▶ | 86.4% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) |
| 47.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x))) | |
| ▶ | 49.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) |
| ▶ | 40.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) |
| 49.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) | |
| 45.5% | #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)) | |
| 48.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) | |
| 49.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) | |
| ▶ | 49.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
| ▶ | 35.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
Compiled 275 to 214 computations (22.2% 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 y (/.f64 (-.f64 z y) z))) | |
| cost-diff | 384 | (/.f64 y (/.f64 (-.f64 z y) z)) | |
| 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 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 y z) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 y z)) | |
| cost-diff | 384 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 164 |
| 0 | 46 | 164 |
| 1 | 75 | 164 |
| 2 | 147 | 162 |
| 3 | 380 | 160 |
| 4 | 894 | 160 |
| 5 | 2268 | 160 |
| 6 | 4288 | 160 |
| 7 | 5028 | 160 |
| 8 | 5544 | 160 |
| 9 | 5762 | 160 |
| 10 | 5824 | 160 |
| 11 | 6814 | 160 |
| 12 | 7278 | 160 |
| 13 | 7434 | 160 |
| 0 | 8210 | 160 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
(+.f64 y x) |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.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))) (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) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) |
(/.f64 y (/.f64 (-.f64 z y) z)) |
y |
(/.f64 (-.f64 z y) z) |
(-.f64 z y) |
z |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) |
(/.f64 (-.f64 z y) (*.f64 (+.f64 x y) z)) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
(+.f64 y x) |
(+.f64 x y) |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.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))) (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) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) y)) |
(/.f64 y (/.f64 (-.f64 z y) z)) |
(*.f64 (/.f64 z (-.f64 z y)) y) |
y |
(/.f64 (-.f64 z y) z) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(-.f64 z y) |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0.015625 | (/.f64 (-.f64 z y) z) | |
| accuracy | 8.48339999744424 | (/.f64 y (/.f64 (-.f64 z y) z)) | |
| accuracy | 31.294221261561507 | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 1.6960621399757418 | (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z)) | |
| accuracy | 30.6881579319066 | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.00390625 | (-.f64 #s(literal -1 binary64) (/.f64 x y)) | |
| accuracy | 2.220671454515428 | (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) | |
| accuracy | 30.86834066656519 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 41.4788108842267 | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (/.f64 y z)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.19140625 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) | |
| accuracy | 8.558676253487427 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) |
| 61.0ms | 256× | 0 | valid |
Compiled 265 to 51 computations (80.8% saved)
ival-div: 16.0ms (50.3% of total)ival-sub: 5.0ms (15.7% of total)ival-mult: 5.0ms (15.7% of total)ival-add: 4.0ms (12.6% of total)ival-neg: 2.0ms (6.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (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 (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 (/.f64 y (/.f64 (-.f64 z y) z)) (patch (/.f64 y (/.f64 (-.f64 z y) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.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>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
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#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>) () ())) ()) |
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#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>) () ())) ()) |
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#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>) () ())) ()) |
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#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 (* z (- (* -1 (/ x y)) 1)) (taylor 0 z) (#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 (* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) (taylor 0 z) (#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>) () ())) ()) |
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#s(alt (* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) (taylor 0 z) (#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 (/ (* z (+ x y)) y)) (taylor 0 z) (#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 (* 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))) (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 (* 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))) (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 (* 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))) (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 (/ 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 (/ z y) (taylor 0 z) (#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 z) (#s(alt (-.f64 (neg.f64 x) z) (patch (-.f64 (neg.f64 x) z) #<representation binary64>) () ())) ()) |
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#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>) () ())) ()) |
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#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 (* -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 (- 1 (/ y z))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 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 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 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 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 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 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 (/ y z)) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- 1 (/ y z))) (/ (* y (- 1 (/ y z))) x)) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (/ (* (pow y 2) (- 1 (/ y z))) x) (* y (- 1 (/ y z)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (- 1 (/ y z))) x) (* (pow y 2) (- 1 (/ y z)))) x)) (* y (- 1 (/ y z)))) x))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 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))) (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 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>) () ())) ()) |
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#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 (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.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 y (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.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 y (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.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 y (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.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>) () ())) ()) |
#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 | |
|---|---|---|---|---|
| 6.0ms | z | @ | inf | ((/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (/ y (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x) (neg x)) |
| 5.0ms | y | @ | inf | ((/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (/ y (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x) (neg x)) |
| 5.0ms | x | @ | inf | ((/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (/ y (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x) (neg x)) |
| 4.0ms | z | @ | 0 | ((/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (/ y (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x) (neg x)) |
| 3.0ms | y | @ | -inf | ((/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (- 1 (/ y z)) (/ y z) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (+ x y) (- 1 (/ y z))) (/ z y) (- (neg x) z) (/ y (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (- z y) (+ y x) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 482 | 6161 |
| 1 | 1523 | 5840 |
| 2 | 4599 | 5574 |
| 0 | 8222 | 5353 |
| 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 (+ x y)))) |
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z) |
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z) |
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z) |
(* -1 (/ y z)) |
(/ (- z y) z) |
(/ (- z y) z) |
(/ (- z y) 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 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)))) |
(* 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) |
(* z (- (* -1 (/ z y)) 1)) |
(* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1)) |
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)) |
(* -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 y) |
(- z y) |
(- z y) |
(- z y) |
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(* x (- (* -1 (/ z x)) 1)) |
(/ 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))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 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)))))) |
(/ (- 1 (/ y z)) x) |
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (/ (* y (- 1 (/ y z))) x)) x)) |
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (/ (* (pow y 2) (- 1 (/ y z))) x) (* y (- 1 (/ y z)))) x))) x)) |
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (- 1 (/ y z))) x) (* (pow y 2) (- 1 (/ y z)))) x)) (* y (- 1 (/ y z)))) x))) 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 (/ 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 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)))) |
(/ 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))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 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 x (*.f64 y y)) z (/.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 #s(literal -1 binary64) (*.f64 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 #s(literal -1 binary64) (*.f64 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 (+ x y)))) |
(/.f64 (/.f64 (neg.f64 y) z) (+.f64 y x)) |
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z) |
(/.f64 (-.f64 (/.f64 z (+.f64 y x)) (/.f64 y (+.f64 y x))) z) |
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z) |
(/.f64 (-.f64 (/.f64 z (+.f64 y x)) (/.f64 y (+.f64 y x))) z) |
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z) |
(/.f64 (-.f64 (/.f64 z (+.f64 y x)) (/.f64 y (+.f64 y x))) 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) |
(* -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 x (*.f64 y y)) z (/.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 #s(literal -1 binary64) (*.f64 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 #s(literal -1 binary64) (*.f64 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 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 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (fma.f64 (/.f64 x (*.f64 y y)) z (/.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 #s(literal -1 binary64) (*.f64 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 #s(literal -1 binary64) (*.f64 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 (* 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) |
(* z (- (* -1 (/ x y)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(neg.f64 (fma.f64 (+.f64 x z) (/.f64 z y) z)) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(neg.f64 (fma.f64 (+.f64 x z) (/.f64 z y) z)) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(neg.f64 (fma.f64 (+.f64 x z) (/.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 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (fma.f64 (/.f64 x (*.f64 y y)) z (/.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 #s(literal -1 binary64) (*.f64 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 #s(literal -1 binary64) (*.f64 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) |
(/ 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 x) z) |
(- (* -1 z) x) |
(-.f64 (neg.f64 x) z) |
(- (* -1 z) x) |
(-.f64 (neg.f64 x) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* -1 (/ z y)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) z) |
(* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 z y) y)) z #s(literal -1 binary64)) z) |
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -1 binary64) y)) z #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 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) (fma.f64 (/.f64 x (*.f64 y y)) z (/.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 #s(literal -1 binary64) (*.f64 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 #s(literal -1 binary64) (*.f64 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 (* -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))) |
(+.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) z))) z) (+.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))))) |
(+.f64 (+.f64 y x) (fma.f64 (/.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) z))) z))) |
(/ 1 (+ x y)) |
(/.f64 #s(literal 1 binary64) (+.f64 y x)) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))) |
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 x) (/.f64 y z) y) x) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(+.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) z))) z) (+.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))))) |
(+.f64 (+.f64 y x) (fma.f64 (/.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) 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))) |
(+.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 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) z))) z) (+.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))))) |
(+.f64 (+.f64 y x) (fma.f64 (/.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) z))) 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 (/ (pow z 2) y)) |
(*.f64 z (/.f64 (neg.f64 z) y)) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x z)) y) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z)) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x z)) y) (/.f64 #s(literal 1 binary64) z)) (*.f64 z z)) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x z)) y) (/.f64 #s(literal 1 binary64) z)) (*.f64 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 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) z))) z) (+.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))))) |
(+.f64 (+.f64 y x) (fma.f64 (/.f64 (+.f64 y x) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)) (/.f64 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) z))) z))) |
(/ 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) |
y |
(+ y (/ (pow y 2) z)) |
(fma.f64 (/.f64 y z) y y) |
(- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z))) |
(+.f64 (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) z) y) |
(- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2))))) |
(+.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) z)) y) |
(+ x y) |
(+.f64 y x) |
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(+.f64 (/.f64 x (/.f64 (-.f64 z y) z)) (/.f64 y (/.f64 (-.f64 z y) z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 x (/.f64 (-.f64 z y) z)) (/.f64 y (/.f64 (-.f64 z y) z))) |
(* -1 z) |
(neg.f64 z) |
(- (* -1 x) z) |
(-.f64 (neg.f64 x) z) |
(- (* -1 x) z) |
(-.f64 (neg.f64 x) z) |
(- (* -1 x) z) |
(-.f64 (neg.f64 x) z) |
(/ y (- 1 (/ y z))) |
(/.f64 y (/.f64 (-.f64 z y) z)) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 x (/.f64 (-.f64 z y) z)) (/.f64 y (/.f64 (-.f64 z y) z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 x (/.f64 (-.f64 z y) z)) (/.f64 y (/.f64 (-.f64 z y) z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+.f64 (/.f64 x (/.f64 (-.f64 z y) z)) (/.f64 y (/.f64 (-.f64 z y) z))) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 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))) |
(/ (- 1 (/ y z)) x) |
(/.f64 (/.f64 (-.f64 z y) z) x) |
(/ (- (+ 1 (* -1 (/ (* y (- 1 (/ y z))) x))) (/ y z)) x) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) x) y (/.f64 (-.f64 z y) z)) x) |
(/ (- (+ 1 (/ (* (pow y 2) (- 1 (/ y z))) (pow x 2))) (+ (/ y z) (/ (* y (- 1 (/ y z))) x))) x) |
(/.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) y (*.f64 y (*.f64 (/.f64 (/.f64 (-.f64 z y) z) x) y))) x) (/.f64 y z)) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (- 1 (/ y z))) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (- 1 (/ y z))) (pow x 2))) (+ (/ y z) (/ (* y (- 1 (/ y z))) x)))) x) |
(/.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) y (*.f64 y (*.f64 (/.f64 (/.f64 (-.f64 z y) z) x) y))) x) (/.f64 y z)) (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) 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 (- 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))) |
(* -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 (neg.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 (+ (/ 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 z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) 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 (/ 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 (-.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))) |
(* -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) |
(/ 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) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 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))) |
(/ (- 1 (/ y z)) x) |
(/.f64 (/.f64 (-.f64 z y) z) x) |
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (/ (* y (- 1 (/ y z))) x)) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) x) y (/.f64 (-.f64 z y) z)) x) |
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (/ (* (pow y 2) (- 1 (/ y z))) x) (* y (- 1 (/ y z)))) x))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) y (*.f64 y (*.f64 (/.f64 (/.f64 (-.f64 z y) z) x) y))) x) (/.f64 (-.f64 z y) z)) x) |
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (- 1 (/ y z))) x) (* (pow y 2) (- 1 (/ y z)))) x)) (* y (- 1 (/ y z)))) x))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) y (/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z y) z) y) y (/.f64 (*.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) x)) x) (/.f64 (-.f64 z y) z)) 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 (/ 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))) |
(* -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 (neg.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 (+ (/ 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 z) y)) |
(*.f64 (/.f64 (neg.f64 z) y) 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)) |
(* -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 (-.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))) |
(* -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) |
(/ 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 (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) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 148 |
| 0 | 46 | 146 |
| 1 | 196 | 146 |
| 2 | 1644 | 146 |
| 0 | 8835 | 146 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 y 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) |
(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) |
(/.f64 y (/.f64 (-.f64 z y) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) |
(/.f64 (-.f64 z y) z) |
(-.f64 z y) |
(+.f64 y x) |
(neg.f64 x) |
| Outputs |
|---|
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Compiled 32 383 to 4 240 computations (86.9% saved)
16 alts after pruning (13 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 640 | 10 | 1 650 |
| Fresh | 4 | 3 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 647 | 16 | 1 663 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 86.7% | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 49.1% | (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 y x))) | |
| ▶ | 90.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))))) |
| ▶ | 87.3% | (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) |
| 17.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) | |
| ▶ | 49.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) |
| 49.8% | #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)) |
| 50.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) | |
| ✓ | 49.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
| 49.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))) z)) | |
| 18.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) | |
| ✓ | 35.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| 17.3% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y))) | |
| 43.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) (+.f64 y (+.f64 x z))) y))) | |
| ▶ | 17.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
Compiled 270 to 235 computations (13% 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 x y) | |
| cost-diff | 0 | (-.f64 z y) | |
| cost-diff | 0 | (/.f64 z (-.f64 z y)) | |
| cost-diff | 0 | (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) | |
| cost-diff | 0 | (/.f64 (neg.f64 z) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 z) y) x) | |
| cost-diff | 0 | #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 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 #s(literal 1 binary64) (+.f64 y x)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))))) | |
| cost-diff | 896 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 222 |
| 0 | 51 | 220 |
| 1 | 96 | 208 |
| 2 | 185 | 208 |
| 3 | 396 | 206 |
| 4 | 819 | 206 |
| 5 | 2137 | 206 |
| 6 | 4339 | 206 |
| 7 | 5237 | 206 |
| 8 | 5591 | 206 |
| 9 | 5827 | 206 |
| 10 | 5839 | 206 |
| 11 | 5843 | 206 |
| 12 | 6279 | 206 |
| 13 | 6529 | 206 |
| 14 | 6751 | 206 |
| 15 | 7281 | 206 |
| 16 | 7487 | 206 |
| 17 | 7554 | 206 |
| 18 | 7650 | 206 |
| 19 | 7688 | 206 |
| 20 | 7861 | 206 |
| 0 | 8015 | 206 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))))) |
#s(literal 1 binary64) |
#s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(/.f64 y (*.f64 (+.f64 y x) z)) |
(*.f64 (+.f64 y x) z) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
x |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) |
(/.f64 z (-.f64 z y)) |
z |
(-.f64 z y) |
y |
(+.f64 x y) |
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 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (/.f64 (-.f64 z y) (*.f64 z (+.f64 x y))))) |
#s(literal 1 binary64) |
#s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))) |
#s(approx (/ (- 1 (/ y z)) (+ y x)) (/.f64 (-.f64 z y) (*.f64 z (+.f64 x y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))) |
(/.f64 (-.f64 z y) (*.f64 z (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (+.f64 y x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(/.f64 y (*.f64 (+.f64 y x) z)) |
(/.f64 y (*.f64 z (+.f64 x y))) |
(*.f64 (+.f64 y x) z) |
(*.f64 z (+.f64 x y)) |
z |
#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 (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(/.f64 (neg.f64 z) y) |
(neg.f64 z) |
z |
y |
x |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) |
(/.f64 z (-.f64 z y)) |
z |
(-.f64 z y) |
y |
(+.f64 x y) |
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 #s(literal 1 binary64) (/.f64 y z)) |
(-.f64 z y) |
z |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0.015625 | (/.f64 (-.f64 z y) z) | |
| accuracy | 2.4433448070185344 | (/.f64 x (/.f64 (-.f64 z y) z)) | |
| accuracy | 30.934756447198733 | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) | |
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.01953125 | (/.f64 z (-.f64 z y)) | |
| accuracy | 8.107925899824089 | (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 3.703919838804238 | (*.f64 (/.f64 (neg.f64 z) y) x) | |
| accuracy | 30.6881579319066 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) | |
| accuracy | 39.708320986451895 | #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 32.28312376407611 | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 1 binary64) (+.f64 y x)) | |
| accuracy | 0.01171875 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))) | |
| accuracy | 0.19140625 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))))) | |
| accuracy | 9.367102226272944 | (/.f64 y (*.f64 (+.f64 y x) z)) |
| 69.0ms | 256× | 0 | valid |
Compiled 313 to 54 computations (82.7% saved)
ival-div: 20.0ms (49.8% of total)ival-sub: 8.0ms (19.9% of total)ival-mult: 6.0ms (14.9% of total)ival-add: 4.0ms (10% of total)ival-neg: 2.0ms (5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))) (patch #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 y x)) (patch (/.f64 #s(literal 1 binary64) (+.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 (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)) (patch #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (neg.f64 z) y) x) (patch (*.f64 (/.f64 (neg.f64 z) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 z) y) (patch (/.f64 (neg.f64 z) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (patch (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) #<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 x y) (patch (+.f64 x y) #<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 y (*.f64 (+.f64 y x) z)) (patch (/.f64 y (*.f64 (+.f64 y x) z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ y (* z (+ x y)))) (taylor 0 z) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ z (+ x y)) (/ y (+ x y))) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ z (+ x y)) (/ y (+ x y))) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ z (+ x y)) (/ y (+ x y))) z) (taylor 0 z) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) 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 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) 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 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y (* z (+ x y)))) (taylor 0 z) (#s(alt #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))) (patch #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))) (patch #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))) (patch #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z) (taylor 0 z) (#s(alt #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))) (patch #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#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 (* 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 y x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.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 #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 (* 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 y x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) #<representation binary64>) () ())) ()) |
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#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 (/ y z)) (/ (pow y 2) (* x z))) x)) (taylor -inf x) (#s(alt (/.f64 y (*.f64 (+.f64 y x) z)) (patch (/.f64 y (*.f64 (+.f64 y x) z)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | ((- (/ 1 (+ y x)) (/ y (* (+ y x) z))) (/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (/ 1 (+ y x)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (/ (neg z) y) x) (/ (neg z) y) (* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (/ y (* (+ y x) z)) (neg z)) |
| 4.0ms | z | @ | inf | ((- (/ 1 (+ y x)) (/ y (* (+ y x) z))) (/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (/ 1 (+ y x)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (/ (neg z) y) x) (/ (neg z) y) (* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (/ y (* (+ y x) z)) (neg z)) |
| 3.0ms | z | @ | 0 | ((- (/ 1 (+ y x)) (/ y (* (+ y x) z))) (/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (/ 1 (+ y x)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (/ (neg z) y) x) (/ (neg z) y) (* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (/ y (* (+ y x) z)) (neg z)) |
| 3.0ms | x | @ | inf | ((- (/ 1 (+ y x)) (/ y (* (+ y x) z))) (/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (/ 1 (+ y x)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (/ (neg z) y) x) (/ (neg z) y) (* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (/ y (* (+ y x) z)) (neg z)) |
| 3.0ms | x | @ | -inf | ((- (/ 1 (+ y x)) (/ y (* (+ y x) z))) (/ 1 (/ (- 1 (/ y z)) (+ y x))) (/ (- 1 (/ y z)) (+ y x)) (/ 1 (+ y x)) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (* (/ (neg z) y) x) (/ (neg z) y) (* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z) (/ y (* (+ y x) z)) (neg z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 840 | 7799 |
| 1 | 2691 | 7346 |
| 0 | 8051 | 7092 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (* z (+ x y)))) |
(/ (- (/ z (+ x y)) (/ y (+ x y))) z) |
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(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z) |
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(* -1 (/ (* x z) y)) |
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(* -1 y) |
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(/ y (* z (+ x y))) |
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(/ y (* z (+ x y))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
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(/ 1 (+ x y)) |
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(/ 1 (+ x y)) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
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(* -1 (/ (pow z 2) y)) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
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(* -1 (/ (* x z) y)) |
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1 |
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z |
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(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
x |
(+ x (/ (* x y) z)) |
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) |
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(+ x y) |
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(/ y (* z (+ x y))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ 1 (+ x y)) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
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(+ x y) |
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(* -1 (/ (pow z 2) y)) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
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(* -1 (/ z y)) |
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1 |
(+ 1 (/ y z)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) z)) y) z))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (* -1 (pow y 2))) z)) y) z))) |
z |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
x |
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(/ 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 (/ y z)) x) |
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (/ (* y (- 1 (/ y z))) x)) x)) |
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (/ (* (pow y 2) (- 1 (/ y z))) x) (* y (- 1 (/ y z)))) x))) x)) |
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (- 1 (/ y z))) x) (* (pow y 2) (- 1 (/ y z)))) x)) (* y (- 1 (/ y z)))) x))) x)) |
(/ 1 x) |
(* -1 (/ (- (/ y x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) 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))) |
(/ 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 (+ (* -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)))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(/ (* 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 |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(/ (* 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)))))) |
(/ y (* x z)) |
(* -1 (/ (+ (* -1 (/ y z)) (/ (pow y 2) (* x z))) x)) |
(* -1 (/ (+ (* -1 (/ y z)) (* -1 (/ (- (/ (pow y 3) (* x z)) (/ (pow y 2) z)) x))) x)) |
(* -1 (/ (+ (* -1 (/ y z)) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) (* x z)) (/ (pow y 3) z)) x)) (/ (pow y 2) z)) x))) x)) |
| Outputs |
|---|
(* -1 (/ y (* z (+ x y)))) |
(/.f64 (neg.f64 y) (*.f64 (+.f64 x y) z)) |
(/ (- (/ z (+ x y)) (/ y (+ x y))) z) |
(/.f64 (-.f64 (/.f64 z (+.f64 x y)) (/.f64 y (+.f64 x y))) z) |
(/ (- (/ z (+ x y)) (/ y (+ x y))) z) |
(/.f64 (-.f64 (/.f64 z (+.f64 x y)) (/.f64 y (+.f64 x y))) z) |
(/ (- (/ z (+ x y)) (/ y (+ x y))) z) |
(/.f64 (-.f64 (/.f64 z (+.f64 x y)) (/.f64 y (+.f64 x y))) z) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 x y) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (neg.f64 z) (fma.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 (+.f64 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))))))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) (/.f64 x (*.f64 y y))) z (/.f64 (+.f64 x y) (neg.f64 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 (-.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 z) (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -1 binary64) y)) (/.f64 x (*.f64 y y))) z (/.f64 (+.f64 x y) (neg.f64 y))) z) |
(* -1 (/ y (* z (+ x y)))) |
(/.f64 (neg.f64 y) (*.f64 (+.f64 x y) z)) |
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z) |
(/.f64 (-.f64 (/.f64 z (+.f64 x y)) (/.f64 y (+.f64 x y))) z) |
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z) |
(/.f64 (-.f64 (/.f64 z (+.f64 x y)) (/.f64 y (+.f64 x y))) z) |
(/ (+ (* -1 (/ y (+ x y))) (/ z (+ x y))) z) |
(/.f64 (-.f64 (/.f64 z (+.f64 x y)) (/.f64 y (+.f64 x y))) z) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 x y) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (neg.f64 z) (fma.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 (+.f64 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))))))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) (/.f64 x (*.f64 y y))) z (/.f64 (+.f64 x y) (neg.f64 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 (-.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 z) (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -1 binary64) y)) (/.f64 x (*.f64 y y))) z (/.f64 (+.f64 x y) (neg.f64 y))) z) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 x y) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (neg.f64 z) (fma.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 (+.f64 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))))))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) (/.f64 x (*.f64 y y))) z (/.f64 (+.f64 x y) (neg.f64 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 (-.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 z) (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -1 binary64) y)) (/.f64 x (*.f64 y y))) z (/.f64 (+.f64 x y) (neg.f64 y))) z) |
(* z (- (* -1 (/ x y)) 1)) |
(neg.f64 (fma.f64 (/.f64 z y) x z)) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(*.f64 (-.f64 (-.f64 (/.f64 (neg.f64 z) y) (/.f64 x y)) #s(literal 1 binary64)) z) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(*.f64 (-.f64 (-.f64 (/.f64 (neg.f64 z) y) (/.f64 x y)) #s(literal 1 binary64)) z) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(*.f64 (-.f64 (-.f64 (/.f64 (neg.f64 z) y) (/.f64 x y)) #s(literal 1 binary64)) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 x y) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (neg.f64 z) (fma.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 (+.f64 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))))))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) (/.f64 x (*.f64 y y))) z (/.f64 (+.f64 x y) (neg.f64 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 (-.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 z) (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -1 binary64) y)) (/.f64 x (*.f64 y y))) z (/.f64 (+.f64 x y) (neg.f64 y))) z) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) z) |
(* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 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 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -1 binary64) (*.f64 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 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 (/.f64 z y) y) x (/.f64 x 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 (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) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (neg.f64 z) (/.f64 (+.f64 x y) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (neg.f64 z) (fma.f64 (+.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z (/.f64 (+.f64 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))))))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) z (/.f64 #s(literal -1 binary64) y)) (/.f64 x (*.f64 y y))) z (/.f64 (+.f64 x y) (neg.f64 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 (-.f64 (fma.f64 (-.f64 (fma.f64 (neg.f64 z) (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -1 binary64) y)) (/.f64 x (*.f64 y y))) z (/.f64 (+.f64 x y) (neg.f64 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) |
(/ y (* z (+ x y))) |
(/.f64 y (*.f64 (+.f64 x y) z)) |
(/ y (* z (+ x y))) |
(/.f64 y (*.f64 (+.f64 x y) z)) |
(/ y (* z (+ x y))) |
(/.f64 y (*.f64 (+.f64 x y) z)) |
(/ y (* z (+ x y))) |
(/.f64 y (*.f64 (+.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 (+ x y)) |
(/.f64 #s(literal 1 binary64) (+.f64 x y)) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z))) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z))) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z))) |
(+ x y) |
(+.f64 x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 (fma.f64 (+.f64 x y) (/.f64 y z) y) x) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(fma.f64 (/.f64 (+.f64 x y) z) y (fma.f64 (/.f64 (+.f64 x y) z) (*.f64 y (/.f64 y z)) (+.f64 x y))) |
(- (+ 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 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)) (+.f64 x y)) (/.f64 (neg.f64 (fma.f64 y (/.f64 (*.f64 (+.f64 x y) y) z) (*.f64 (+.f64 x y) y))) z)) |
(/ 1 (+ x y)) |
(/.f64 #s(literal 1 binary64) (+.f64 x y)) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z))) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z))) |
(+ (* -1 (/ y (* z (+ x y)))) (/ 1 (+ x y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (/.f64 y (*.f64 (+.f64 x y) z))) |
(+ x y) |
(+.f64 x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 (fma.f64 (+.f64 x y) (/.f64 y z) y) x) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(fma.f64 (/.f64 (+.f64 x y) z) y (fma.f64 (/.f64 (+.f64 x y) z) (*.f64 y (/.f64 y z)) (+.f64 x y))) |
(- (+ 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 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)) (+.f64 x y)) (/.f64 (neg.f64 (fma.f64 y (/.f64 (*.f64 (+.f64 x y) y) z) (*.f64 (+.f64 x y) y))) z)) |
(+ x y) |
(+.f64 x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 (fma.f64 (+.f64 x y) (/.f64 y z) y) x) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(fma.f64 (/.f64 (+.f64 x y) z) y (fma.f64 (/.f64 (+.f64 x y) z) (*.f64 y (/.f64 y z)) (+.f64 x y))) |
(- (+ 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 (+.f64 x y) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)) (+.f64 x y)) (/.f64 (neg.f64 (fma.f64 y (/.f64 (*.f64 (+.f64 x y) y) z) (*.f64 (+.f64 x y) y))) z)) |
(* -1 (/ (pow z 2) y)) |
(/.f64 (*.f64 (neg.f64 z) z) y) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 z y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))) (*.f64 z z)) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 z y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))) (*.f64 z z)) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 (neg.f64 x) (*.f64 z y)) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))) (*.f64 z z)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(+ x y) |
(+.f64 x y) |
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(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 (/ y z)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(/ (- (+ 1 (* -1 (/ (* y (- 1 (/ y z))) x))) (/ y z)) x) |
(/.f64 (fma.f64 (neg.f64 y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) x) |
(/ (- (+ 1 (/ (* (pow y 2) (- 1 (/ y z))) (pow x 2))) (+ (/ y z) (/ (* y (- 1 (/ y z))) x))) x) |
(/.f64 (+.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) y (*.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) y))) x) (/.f64 y z)) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (* -1 (/ (* (pow y 3) (- 1 (/ y z))) (pow x 3)))) (+ (* -1 (/ (* (pow y 2) (- 1 (/ y z))) (pow x 2))) (+ (/ y z) (/ (* y (- 1 (/ y z))) x)))) x) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (neg.f64 y) y) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) x) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) y (/.f64 y z)))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* -1 (/ y x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(/ (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x)) x) |
(/.f64 (+.f64 (/.f64 (-.f64 (*.f64 y (/.f64 y x)) y) x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))) x) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (/.f64 y x) (*.f64 y (/.f64 y (*.f64 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 |
(* 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)))) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* x (- (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))) (/ z x))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z y) z) x) (/.f64 (neg.f64 z) y)) x) |
(* x (- (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))) (/ z x))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z y) z) x) (/.f64 (neg.f64 z) y)) x) |
(* x (- (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))) (/ z x))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z (/.f64 z y) z) x) (/.f64 (neg.f64 z) y)) x) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(/ (* 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 |
(* 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 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 #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)))) |
(/ y (* x z)) |
(/.f64 (/.f64 y x) z) |
(/ (+ (* -1 (/ (pow y 2) (* x z))) (/ y z)) x) |
(/.f64 (-.f64 (/.f64 y z) (/.f64 (*.f64 y (/.f64 y z)) x)) x) |
(/ (- (+ (/ y z) (/ (pow y 3) (* (pow x 2) z))) (/ (pow y 2) (* x z))) x) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) z) (*.f64 y (/.f64 y z))) x) (/.f64 y z)) x) |
(/ (- (+ (* -1 (/ (pow y 4) (* (pow x 3) z))) (/ y z)) (+ (* -1 (/ (pow y 3) (* (pow x 2) z))) (/ (pow y 2) (* x z)))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 y z) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 y x) (/.f64 y z) (/.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) x) (neg.f64 z)))) x) |
(/ (+ 1 (* -1 (/ y z))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) z) y) x)) (+ 1 (* -1 (/ y z)))) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y (/.f64 y z)) y) x) #s(literal -1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) x)) (/ (pow y 2) z)) y) x)) (+ 1 (* -1 (/ y z)))) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 y (/.f64 y z) (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) #s(literal -1 binary64) (*.f64 y y)) x)) y) x) #s(literal -1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) x)) (/ (pow y 3) z)) (pow y 2)) x)) (/ (pow y 2) z)) y) x)) (+ 1 (* -1 (/ y z)))) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 y (/.f64 y z) (/.f64 (fma.f64 (neg.f64 y) y (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) (pow.f64 y #s(literal 3 binary64))) x))) (neg.f64 x))) y) x) #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 (neg.f64 x) (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(/ (- 1 (/ y z)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) |
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (/ (* y (- 1 (/ y z))) x)) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) y (-.f64 (/.f64 y z) #s(literal 1 binary64))) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (/ (* (pow y 2) (- 1 (/ y z))) x) (* y (- 1 (/ y z)))) x))) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) y (*.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) y))) x)) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (- 1 (/ y z))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (- 1 (/ y z))) x) (* (pow y 2) (- 1 (/ y z)))) x)) (* y (- 1 (/ y z)))) x))) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) y (/.f64 (fma.f64 (-.f64 (/.f64 y z) #s(literal 1 binary64)) (*.f64 y y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) x) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x))) x)) (neg.f64 x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (/ y x) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) y) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 y (/.f64 y x)) y) x) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) x) (pow y 2)) x)) y) x)) 1) x)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1 binary64) (*.f64 y y)) x) y) x) #s(literal -1 binary64) #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 (neg.f64 x) (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(/ 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 (neg.f64 x) (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 z y) (/.f64 (neg.f64 (fma.f64 z (/.f64 z y) z)) x))) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 z y) (/.f64 (neg.f64 (fma.f64 z (/.f64 z y) z)) x))) |
(* -1 (* x (+ (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) x)) (/ z y)))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 z y) (/.f64 (neg.f64 (fma.f64 z (/.f64 z y) z)) x))) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) |
(*.f64 (neg.f64 x) (neg.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))))) |
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) |
(*.f64 (neg.f64 x) (neg.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))))) |
(* -1 (* x (+ (* -1 (/ z (- z y))) (* -1 (/ (* y z) (* x (- z y))))))) |
(*.f64 (neg.f64 x) (neg.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 z (-.f64 z y))))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))) |
(/ (* 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 #s(literal 1 binary64) (/.f64 y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 y z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(/ y (* x z)) |
(/.f64 (/.f64 y x) z) |
(* -1 (/ (+ (* -1 (/ y z)) (/ (pow y 2) (* x z))) x)) |
(/.f64 (-.f64 (/.f64 y z) (/.f64 (*.f64 y (/.f64 y z)) x)) x) |
(* -1 (/ (+ (* -1 (/ y z)) (* -1 (/ (- (/ (pow y 3) (* x z)) (/ (pow y 2) z)) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) z) (*.f64 y (/.f64 y z))) (neg.f64 x)) (/.f64 y z)) (neg.f64 x)) |
(* -1 (/ (+ (* -1 (/ y z)) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) (* x z)) (/ (pow y 3) z)) x)) (/ (pow y 2) z)) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) z) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) z)) (neg.f64 x)) (*.f64 y (/.f64 y z))) (neg.f64 x)) (/.f64 y z)) (neg.f64 x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 196 |
| 0 | 51 | 194 |
| 1 | 236 | 182 |
| 2 | 2208 | 182 |
| 0 | 8629 | 182 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))))) |
#s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z)))) |
(/.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
(+.f64 y x) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x)) |
(*.f64 (/.f64 (neg.f64 z) y) x) |
(/.f64 (neg.f64 z) y) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) |
(/.f64 z (-.f64 z y)) |
(-.f64 z y) |
(+.f64 x y) |
(/.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 y (*.f64 (+.f64 y x) z)) |
(neg.f64 z) |
| Outputs |
|---|
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Compiled 30 983 to 4 443 computations (85.7% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 572 | 7 | 1 579 |
| Fresh | 3 | 5 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 579 | 16 | 1 595 |
| Status | Accuracy | Program |
|---|---|---|
| 36.7% | (/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z) (*.f64 (-.f64 y x) (-.f64 z y))) | |
| ▶ | 75.5% | (/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y)) |
| ▶ | 38.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y))) |
| ▶ | 17.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) |
| 17.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) | |
| ✓ | 49.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
| 50.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) | |
| ▶ | 45.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
| ✓ | 49.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
| 49.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))) z)) | |
| 18.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) | |
| ✓ | 35.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| 17.3% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y))) | |
| ▶ | 18.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) |
| 18.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 z x))))) | |
| ✓ | 17.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
Compiled 241 to 218 computations (9.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 z y) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (/.f64 (*.f64 z x) (-.f64 z y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y))) | |
| cost-diff | 0 | (-.f64 z y) | |
| cost-diff | 0 | (/.f64 x (-.f64 z y)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (-.f64 z y)) z) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (neg.f64 z) x) y) | |
| cost-diff | 0 | #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) | |
| cost-diff | 0 | #s(approx (/ (- z y) z) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 z y) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (*.f64 z (+.f64 x y)) | |
| cost-diff | 0 | (/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 189 |
| 0 | 46 | 187 |
| 1 | 81 | 187 |
| 2 | 141 | 187 |
| 3 | 333 | 185 |
| 4 | 702 | 185 |
| 5 | 1640 | 185 |
| 6 | 3154 | 185 |
| 7 | 4105 | 185 |
| 8 | 4397 | 185 |
| 9 | 4494 | 185 |
| 10 | 4626 | 185 |
| 11 | 4668 | 185 |
| 12 | 4675 | 185 |
| 13 | 4893 | 185 |
| 14 | 4965 | 185 |
| 15 | 4965 | 185 |
| 16 | 5009 | 185 |
| 17 | 5116 | 185 |
| 18 | 5190 | 185 |
| 19 | 5208 | 185 |
| 20 | 5208 | 185 |
| 21 | 5208 | 185 |
| 0 | 5208 | 185 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y)) |
(*.f64 z (+.f64 x y)) |
z |
(+.f64 x y) |
x |
y |
(-.f64 z y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) |
(/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) |
y |
#s(approx (/ (- z y) z) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) |
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 (neg.f64 z) x) |
(neg.f64 z) |
z |
x |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/.f64 x (-.f64 z y)) |
x |
(-.f64 z y) |
z |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y))) |
(/.f64 (*.f64 z x) (-.f64 z y)) |
(*.f64 z x) |
z |
x |
(-.f64 z y) |
y |
| Outputs |
|---|
(/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y)) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) |
(*.f64 z (+.f64 x y)) |
(*.f64 (+.f64 y x) z) |
z |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
(-.f64 z y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) |
(/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) |
y |
#s(approx (/ (- z y) z) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) |
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 (neg.f64 z) x) |
(neg.f64 z) |
z |
x |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/.f64 x (-.f64 z y)) |
x |
(-.f64 z y) |
z |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
(/.f64 (*.f64 z x) (-.f64 z y)) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(*.f64 z x) |
(*.f64 x z) |
z |
x |
(-.f64 z y) |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 10.899683289981898 | (/.f64 (*.f64 z x) (-.f64 z y)) | |
| accuracy | 30.934756447198733 | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y))) | |
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0.01171875 | (/.f64 x (-.f64 z y)) | |
| accuracy | 10.064320121680282 | (*.f64 (/.f64 x (-.f64 z y)) z) | |
| accuracy | 30.934756447198733 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 4.596919462853999 | (/.f64 (*.f64 (neg.f64 z) x) y) | |
| accuracy | 30.6881579319066 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) | |
| accuracy | 39.708320986451895 | #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) | |
| accuracy | 8.48339999744424 | (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) | |
| accuracy | 31.294221261561507 | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) | |
| accuracy | 32.27334156067169 | #s(approx (/ (- z y) z) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.00390625 | (*.f64 z (+.f64 x y)) | |
| accuracy | 15.68019065686649 | (/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y)) |
| 67.0ms | 256× | 0 | valid |
Compiled 251 to 49 computations (80.5% saved)
ival-div: 14.0ms (45.6% of total)ival-mult: 8.0ms (26.1% of total)ival-sub: 4.0ms (13% of total)ival-add: 3.0ms (9.8% of total)ival-neg: 2.0ms (6.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y)) (patch (/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z (+.f64 x y)) (patch (*.f64 z (+.f64 x 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))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) (patch (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- z y) z) #s(literal 1 binary64)) (patch #s(approx (/ (- z y) z) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) (patch #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (neg.f64 z) x) y) (patch (/.f64 (*.f64 (neg.f64 z) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) x) (patch (*.f64 (neg.f64 z) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (-.f64 z y)) z) (patch (*.f64 (/.f64 x (-.f64 z y)) z) #<representation binary64>) () ()) |
#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 z x) (-.f64 z y)) (patch (/.f64 (*.f64 z x) (-.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z 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 x y)) (-.f64 z y)) (patch (/.f64 (*.f64 z (+.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 (*.f64 z (+.f64 x y)) (-.f64 z y)) (patch (/.f64 (*.f64 z (+.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 (*.f64 z (+.f64 x y)) (-.f64 z y)) (patch (/.f64 (*.f64 z (+.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 (*.f64 z (+.f64 x y)) (-.f64 z y)) (patch (/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 z (+.f64 x y)) (patch (*.f64 z (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 z (+.f64 x y)) (patch (*.f64 z (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 z (+.f64 x y)) (patch (*.f64 z (+.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 z (+.f64 x y)) (patch (*.f64 z (+.f64 x 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))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #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 #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #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 #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #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 #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) (patch (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* -1 (/ z y)) 1)) (taylor 0 z) (#s(alt (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) (patch (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1)) (taylor 0 z) (#s(alt (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) (patch (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)) (taylor 0 z) (#s(alt (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) (patch (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor 0 z) (#s(alt #s(approx (/ (- z y) z) #s(literal 1 binary64)) (patch #s(approx (/ (- z y) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt #s(approx (/ (- z y) z) #s(literal 1 binary64)) (patch #s(approx (/ (- z y) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt #s(approx (/ (- z y) z) #s(literal 1 binary64)) (patch #s(approx (/ (- z y) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt #s(approx (/ (- z y) z) #s(literal 1 binary64)) (patch #s(approx (/ (- z y) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) 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))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) 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))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) 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))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* -1 (/ x y)) 1)) (taylor 0 z) (#s(alt #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) (patch #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) (taylor 0 z) (#s(alt #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) (patch #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) (taylor 0 z) (#s(alt #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) (patch #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) (taylor 0 z) (#s(alt #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) (patch #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) x) y) (patch (/.f64 (*.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) x) y) (patch (/.f64 (*.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) x) y) (patch (/.f64 (*.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (neg.f64 z) x) y) (patch (/.f64 (*.f64 (neg.f64 z) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) x) (patch (*.f64 (neg.f64 z) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) x) (patch (*.f64 (neg.f64 z) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) x) (patch (*.f64 (neg.f64 z) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 z) (#s(alt (*.f64 (neg.f64 z) x) (patch (*.f64 (neg.f64 z) x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 z x) (-.f64 z y)) (patch (/.f64 (*.f64 z x) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | ((/ (* z (+ x y)) (- z y)) (* z (+ x y)) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (/ y (/ (- z y) z)) (/ (- z y) z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (* (neg z) x) y) (* (neg z) x) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (/ (+ x y) (- 1 (/ y z))) (/ (* z x) (- z y)) (* z x) (neg z)) |
| 2.0ms | x | @ | -inf | ((/ (* z (+ x y)) (- z y)) (* z (+ x y)) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (/ y (/ (- z y) z)) (/ (- z y) z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (* (neg z) x) y) (* (neg z) x) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (/ (+ x y) (- 1 (/ y z))) (/ (* z x) (- z y)) (* z x) (neg z)) |
| 2.0ms | x | @ | inf | ((/ (* z (+ x y)) (- z y)) (* z (+ x y)) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (/ y (/ (- z y) z)) (/ (- z y) z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (* (neg z) x) y) (* (neg z) x) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (/ (+ x y) (- 1 (/ y z))) (/ (* z x) (- z y)) (* z x) (neg z)) |
| 2.0ms | z | @ | -inf | ((/ (* z (+ x y)) (- z y)) (* z (+ x y)) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (/ y (/ (- z y) z)) (/ (- z y) z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (* (neg z) x) y) (* (neg z) x) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (/ (+ x y) (- 1 (/ y z))) (/ (* z x) (- z y)) (* z x) (neg z)) |
| 2.0ms | x | @ | 0 | ((/ (* z (+ x y)) (- z y)) (* z (+ x y)) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (/ y (/ (- z y) z)) (/ (- z y) z) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ z y) (- (neg x) z)) (neg z)) (/ (* (neg z) x) y) (* (neg z) x) (/ (+ x y) (- 1 (/ y z))) (* (/ x (- z y)) z) (/ x (- z y)) (/ (+ x y) (- 1 (/ y z))) (/ (* z x) (- z y)) (* z x) (neg z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 505 | 6535 |
| 1 | 1630 | 6086 |
| 2 | 4806 | 5820 |
| 0 | 8166 | 5561 |
| 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))))))) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x 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) |
(* z (- (* -1 (/ z y)) 1)) |
(* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1)) |
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)) |
(* -1 (/ y z)) |
(/ (+ z (* -1 y)) z) |
(/ (+ z (* -1 y)) z) |
(/ (+ z (* -1 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))))))) |
(* 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 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* 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)))))) |
(* -1 (/ x y)) |
(+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))) |
(+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))) |
(+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))) |
(* -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) |
(* -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))) |
(- (+ 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 (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
z |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ 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))))) |
y |
(+ y (/ (pow y 2) z)) |
(- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z))) |
(- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2))))) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ 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 (/ (pow z 2) y)) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(* (pow z 2) (- (* -1 (/ x (* y z))) (+ (/ 1 y) (/ 1 z)))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x 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))))) |
x |
(+ x (/ (* x y) z)) |
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) |
(- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2))))) |
(/ x z) |
(/ (+ x (/ (* x y) z)) z) |
(/ (- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) z) |
(/ (- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2))))) z) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) |
(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
x |
(+ x (/ (* x y) z)) |
(- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) |
(- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2))))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 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)))) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
(* z (+ x y)) |
z |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
y |
(+ y (/ (pow y 2) z)) |
(+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) |
(+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ 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 (/ (pow z 2) y)) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(* (pow z 2) (- (* -1 (/ (+ 1 (/ x y)) z)) (/ 1 y))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x 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)))) |
x |
(+ x (/ (* x y) z)) |
(+ x (* -1 (/ (- (* -1 (/ (* x (pow y 2)) z)) (* x y)) z))) |
(+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) z) (* -1 (* x (pow y 2)))) z)) (* x y)) z))) |
(/ x z) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* x y) z))) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* x y) (/ (* x (pow y 2)) z)) z))) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z))) z)) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
(+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) |
x |
(+ x (/ (* x y) z)) |
(+ x (* -1 (/ (- (* -1 (/ (* x (pow y 2)) z)) (* x y)) z))) |
(+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) z) (* -1 (* x (pow y 2)))) z)) (* x y)) z))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 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 z) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
z |
(+ z (* -1 y)) |
(+ z (* -1 y)) |
(+ z (* -1 y)) |
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))))) |
y |
(* y (+ 1 (/ y z))) |
(* y (+ 1 (* y (+ (/ 1 z) (/ y (pow z 2)))))) |
(* y (+ 1 (* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z))))) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
x |
(+ x (* y (- 1 (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) |
(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
(* -1 (/ (* z (+ x z)) y)) |
(/ (+ (* -1 (* y z)) (* -1 (* z (+ x z)))) y) |
(/ (+ (* -1 (* y z)) (* -1 (* z (+ x z)))) y) |
(/ (+ (* -1 (* y z)) (* -1 (* z (+ x z)))) y) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
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 (/ (* x y) z)) |
(+ x (* y (- (/ (* x y) (pow z 2)) (* -1 (/ x z))))) |
(+ x (* y (- (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (* -1 (/ x z))))) |
(/ x z) |
(+ (/ x z) (/ (* x y) (pow z 2))) |
(+ (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (/ x z)) |
(+ (* y (- (* y (- (/ (* x y) (pow z 4)) (* -1 (/ x (pow z 3))))) (* -1 (/ x (pow z 2))))) (/ x z)) |
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 (/ (* x y) z)) |
(+ x (* y (- (/ (* x y) (pow z 2)) (* -1 (/ x z))))) |
(+ x (* y (- (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (* -1 (/ x z))))) |
(* -1 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 z) |
(* y (+ z (/ (* x z) y))) |
(* y (+ z (/ (* x z) y))) |
(* y (+ z (/ (* x z) y))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* -1 y) |
(* y (- (/ z y) 1)) |
(* y (- (/ z y) 1)) |
(* y (- (/ z y) 1)) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (pow z 2) y))) |
(- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2)))) |
(* -1 (/ y z)) |
(* y (- (/ 1 y) (/ 1 z))) |
(* y (- (/ 1 y) (/ 1 z))) |
(* y (- (/ 1 y) (/ 1 z))) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 z) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y) |
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 3)) (pow y 2)))) (/ (* x (pow z 2)) y)) y) |
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 4)) (pow y 3)))) (+ (/ (* x (pow z 2)) y) (/ (* x (pow z 3)) (pow y 2)))) y) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ (* x z) y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow z 2)) (pow y 2)))) (/ (* x z) y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow z 3)) (pow y 3)))) (+ (/ (* x z) y) (/ (* x (pow z 2)) (pow y 2)))) y) |
(* -1 z) |
(- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) |
(- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) |
(* -1 (/ (* x z) y)) |
(/ (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 2)) y))) y) |
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 3)) (pow y 2)))) (/ (* x (pow z 2)) y)) y) |
(/ (- (+ (* -1 (* x z)) (* -1 (/ (* x (pow z 4)) (pow y 3)))) (+ (/ (* x (pow z 2)) y) (/ (* x (pow z 3)) (pow y 2)))) y) |
(* -1 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 z) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y))))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (pow z 2) y))) |
(+ (* -1 z) (* -1 (/ (+ (/ (pow z 3) y) (pow z 2)) y))) |
(+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow z 4) y)) (* -1 (pow z 3))) y)) (pow z 2)) y))) |
(* -1 (/ y z)) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 z) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(- (* -1 (/ (* z (+ x z)) y)) z) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow z 3)) y)) (* x (pow z 2))) y)) (* x z)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 4)) y) (* -1 (* x (pow z 3)))) y)) (* x (pow z 2))) y)) (* x z)) y)) |
(* -1 (/ x y)) |
(* -1 (/ (+ x (/ (* x z) y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow z 2)) y)) (* x z)) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 3)) y) (* -1 (* x (pow z 2)))) y)) (* x z)) y))) y)) |
(* -1 z) |
(+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (+ (* x z) (/ (* x (pow z 2)) y)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow z 3)) y)) (* x (pow z 2))) y)) (* x z)) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 4)) y) (* -1 (* x (pow z 3)))) y)) (* x (pow z 2))) y)) (* x z)) y)) |
(/ (* y z) (- z y)) |
(+ (/ (* x z) (- z y)) (/ (* y z) (- z y))) |
(+ (/ (* x z) (- z y)) (/ (* y z) (- z y))) |
(+ (/ (* x z) (- z y)) (/ (* y z) (- z y))) |
(* y z) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
(+ (* x z) (* y z)) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ 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)))) |
(- (* -1 (/ (pow z 2) y)) z) |
(- (+ (* -1 (/ (* x z) y)) (* -1 (/ (pow z 2) y))) z) |
(- (+ (* -1 (/ (* x z) y)) (* -1 (/ (pow z 2) y))) z) |
(- (+ (* -1 (/ (* x z) y)) (* -1 (/ (pow z 2) y))) z) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ y (- 1 (/ y z))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) |
(/ (* x 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 |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* 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)))))) |
(* -1 (/ (* x z) y)) |
(* x (- (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))) (/ z x))) |
(* x (- (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))) (/ z x))) |
(* x (- (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (* x y)))) (/ z x))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* 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 z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- 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 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))))) |
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 (+ (* -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)))) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (/ (* x z) y)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* x z)) |
(* -1 (* 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)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ 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)))))) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
| Outputs |
|---|
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 (neg.f64 x) y) (/.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 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z (/.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 (/.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 (-.f64 (neg.f64 x) y) 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 x) y) 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) |
(* -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 x) y) (/.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 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z (/.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 (/.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 (-.f64 (neg.f64 x) y) 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 x) y) y)) z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* -1 (/ z y)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 z y)) z) |
(* z (- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1)) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 z y) y)) z #s(literal -1 binary64)) z) |
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1)) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -1 binary64) y)) z #s(literal -1 binary64)) 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 (+ x y)) y)) |
(*.f64 (-.f64 (neg.f64 x) y) (/.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 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z (/.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 (/.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 (-.f64 (neg.f64 x) y) 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 x) y) 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)) |
(neg.f64 (fma.f64 (+.f64 x z) (/.f64 z y) z)) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(neg.f64 (fma.f64 (+.f64 x z) (/.f64 z y) z)) |
(* z (- (+ (* -1 (/ x y)) (* -1 (/ z y))) 1)) |
(neg.f64 (fma.f64 (+.f64 x z) (/.f64 z y) z)) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 x (neg.f64 y)) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 x (neg.f64 y)) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 x (neg.f64 y)) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 x (neg.f64 y)) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 (neg.f64 x) y) (/.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 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) z (/.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 (/.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 (-.f64 (neg.f64 x) y) 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 x) y) y)) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 x (neg.f64 y)) z) |
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 z y) x x) (neg.f64 y)) z) |
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) |
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(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 (-.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 (/ 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))) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 x (neg.f64 y)) z) |
(* -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)) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 x (neg.f64 y)) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 x (neg.f64 y)) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 x (neg.f64 y)) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (/.f64 x (neg.f64 y)) z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) 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 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 y)) |
(/.f64 x (-.f64 z y)) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(/ 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 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) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 169 |
| 0 | 46 | 167 |
| 1 | 183 | 167 |
| 2 | 1374 | 165 |
| 0 | 8530 | 165 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y)) |
(*.f64 z (+.f64 x y)) |
(+.f64 x y) |
(-.f64 z y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) |
(/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64))) |
#s(approx (/ (- z y) z) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) |
#s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y)) |
(/.f64 (*.f64 (neg.f64 z) x) y) |
(*.f64 (neg.f64 z) x) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
(*.f64 (/.f64 x (-.f64 z y)) z) |
(/.f64 x (-.f64 z y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y))) |
(/.f64 (*.f64 z x) (-.f64 z y)) |
(*.f64 z x) |
(neg.f64 z) |
| Outputs |
|---|
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Compiled 15 951 to 1 854 computations (88.4% saved)
16 alts after pruning (8 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 060 | 3 | 1 063 |
| Fresh | 2 | 5 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 063 | 16 | 1 079 |
| Status | Accuracy | Program |
|---|---|---|
| 36.7% | (/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z) (*.f64 (-.f64 y x) (-.f64 z y))) | |
| 43.6% | (/.f64 (*.f64 z (+.f64 x y)) #s(approx (- z y) (neg.f64 y))) | |
| ✓ | 38.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y))) |
| 46.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 z (/.f64 (-.f64 z y) x))) | |
| ✓ | 17.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) |
| 17.4% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) | |
| ✓ | 49.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
| 50.7% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) | |
| ✓ | 45.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
| 18.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)) | |
| ✓ | 49.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
| ✓ | 35.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| 17.3% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y))) | |
| ✓ | 18.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) |
| 18.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 z x))))) | |
| ✓ | 17.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
Compiled 459 to 248 computations (46% 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))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y))) |
(/.f64 (*.f64 z (+.f64 x y)) #s(approx (- z y) (neg.f64 y))) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) |
(/.f64 (*.f64 z (+.f64 x y)) (-.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))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) (+.f64 y (+.f64 x z))) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) |
#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 (-.f64 z y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 z (/.f64 (-.f64 z y) x))) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 z x))))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))) z)) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z) (*.f64 (-.f64 y x) (-.f64 z y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 (+.f64 y x) z) (fma.f64 y (/.f64 y z) y) (+.f64 y x))) |
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 y 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 #s(literal 1 binary64) #s(approx (/ (- 1 (/ y z)) (+ y x)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 y (*.f64 (+.f64 y x) z))))) |
(/.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) |
| 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 z (-.f64 z y)) (+.f64 x y)) |
4 calls:
| 14.0ms | z |
| 9.0ms | y |
| 9.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.0% | 1 | x |
| 96.3% | 3 | y |
| 96.9% | 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))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y))) |
(/.f64 (*.f64 z (+.f64 x y)) #s(approx (- z y) (neg.f64 y))) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) |
(/.f64 (*.f64 z (+.f64 x y)) (-.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))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) (+.f64 y (+.f64 x z))) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) |
#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 (-.f64 z y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 z (/.f64 (-.f64 z y) x))) |
| Outputs |
|---|
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) |
1 calls:
| 7.0ms | (/.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))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y))) |
(/.f64 (*.f64 z (+.f64 x y)) #s(approx (- z y) (neg.f64 y))) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) |
(/.f64 (*.f64 z (+.f64 x y)) (-.f64 z y)) |
| Outputs |
|---|
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) |
1 calls:
| 5.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 3 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
Compiled 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))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 y (-.f64 z y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) (-.f64 z y))) |
(/.f64 (*.f64 z (+.f64 x y)) #s(approx (- z y) (neg.f64 y))) |
| 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)) |
4 calls:
| 10.0ms | x |
| 4.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 4.0ms | y |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.0% | 3 | x |
| 77.4% | 3 | y |
| 75.7% | 3 | z |
| 67.4% | 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))) (/.f64 y #s(approx (/ (- z y) z) #s(literal 1 binary64)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ y (/ (- z y) z)) (fma.f64 (/.f64 y z) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (*.f64 (/.f64 (neg.f64 z) y) x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (* (/ z y) (- (neg x) z)) (neg z)) (/.f64 (*.f64 (neg.f64 z) x) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
3 calls:
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.1% | 5 | z |
| 55.5% | 4 | x |
| 72.1% | 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 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.2% | 1 | x |
| 35.2% | 1 | z |
| 35.2% | 1 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 35.2% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.9601985395361995e-279 |
| 0.0ms | -3.513891841983215e-257 | -3.1989733480711136e-295 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.9601985395361995e-279 |
| 0.0ms | -3.513891841983215e-257 | -3.1989733480711136e-295 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.9601985395361995e-279 |
| 0.0ms | -3.513891841983215e-257 | -3.1989733480711136e-295 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 4.027039330481604e+53 | 3.3692265679903663e+56 |
| 17.0ms | -4.668734217979801e+46 | -1.0728468706758549e+42 |
| 18.0ms | 256× | 0 | valid |
Compiled 204 to 254 computations (-24.5% saved)
ival-div: 3.0ms (46.1% of total)ival-sub: 1.0ms (15.4% of total)ival-add: 1.0ms (15.4% 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 |
|---|---|---|
| 11.0ms | 1.8281892344674592e+112 | 5.0140834702452574e+116 |
| 17.0ms | -4.668734217979801e+46 | -1.0728468706758549e+42 |
| 19.0ms | 240× | 0 | valid |
Compiled 124 to 206 computations (-66.1% saved)
ival-add: 8.0ms (61% of total)ival-div: 3.0ms (22.9% of total)ival-sub: 1.0ms (7.6% 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 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 293 |
| 1 | 68 | 291 |
| 2 | 89 | 291 |
| 3 | 113 | 291 |
| 4 | 122 | 291 |
| 5 | 125 | 291 |
| 6 | 126 | 291 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 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 z (-.f64 z y)) (+.f64 x y)))) |
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)))) |
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)))) |
(if (<=.f64 y #s(literal -1100000000000000064848534436950761900343296 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal 21000000000000000623275247733705730298288744002303819776 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 -2249999999999999921182062819469327838388158464 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 4000000000000000062237664517867372097072805587684245733479082321723335124659022813059941559660189790704825123471360 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 -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 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 z (-.f64 z y)) (+.f64 x y)))) |
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 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 z (-.f64 z y)) (+.f64 y x)))) |
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (neg.f64 z) (*.f64 (/.f64 (neg.f64 x) y) z))) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)))) |
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (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 z (-.f64 z y)) (+.f64 y x)))) |
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)))) |
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) (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 #s(literal -1 binary64) (/.f64 x y)) z)) (*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)))) |
(if (<=.f64 y #s(literal -1100000000000000064848534436950761900343296 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (if (<=.f64 y #s(literal 21000000000000000623275247733705730298288744002303819776 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 -2249999999999999921182062819469327838388158464 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 4000000000000000062237664517867372097072805587684245733479082321723335124659022813059941559660189790704825123471360 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 148 |
| 0 | 46 | 146 |
| 1 | 196 | 146 |
| 2 | 1644 | 146 |
| 0 | 8835 | 146 |
| 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 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 435 to 186 computations (57.2% saved)
Compiled 486 to 142 computations (70.8% saved)
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