
Time bar (total: 6.8s)
| 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)
| 580.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-div: 162.0ms (56% of total)ival-add: 69.0ms (23.8% of total)ival-sub: 44.0ms (15.2% of total)ival-true: 6.0ms (2.1% of total)exact: 5.0ms (1.7% of total)ival-assert: 3.0ms (1% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 28 | 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 | 28 | 0 |
| ↳ | (/.f64 y z) | overflow | 28 | |
| ↳ | (-.f64 #s(literal 1 binary64) (/.f64 y z)) | overflow | 28 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 28 | 0 |
| - | 0 | 228 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 28 | 0 | 0 |
| - | 0 | 0 | 228 |
| number | freq |
|---|---|
| 0 | 228 |
| 1 | 28 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 29.0ms | 512× | 0 | valid |
Compiled 61 to 28 computations (54.1% saved)
ival-div: 7.0ms (52.2% of total)ival-add: 3.0ms (22.4% of total)ival-sub: 2.0ms (14.9% 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: 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 |
|---|---|---|
| ▶ | 89.6% | (/.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 | 6.662920480575788 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 14.0ms | 256× | 0 | valid |
Compiled 26 to 10 computations (61.5% saved)
ival-div: 3.0ms (46% of total)ival-add: 2.0ms (30.6% of total)ival-sub: 1.0ms (15.3% 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 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- z y) z) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- z y) z) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- z y) z) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (/ (* y (+ x y)) z))) (taylor inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) (* -1 (/ (* y (+ x y)) z))) (taylor inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) (taylor inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor -inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (/ (* y (+ x y)) z))) (taylor -inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) (taylor -inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (+ x y)) z) (* -1 (* (pow y 2) (+ x y)))) z)) (* y (+ x y))) z)))) (taylor -inf z) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- 1 (* -1 (/ x z))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (/ (* y (- 1 (* -1 (/ x z)))) z)) (* -1 (/ x z))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) (taylor 0 y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ y z))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (* -1 (/ (* x z) y))) (/ (pow z 2) y)) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2)))) (/ (pow z 2) y)) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ (* (pow z 2) (- (* -1 (* x z)) (pow z 2))) (pow y 3)))) (+ (* -1 (/ (* z (- (* -1 (* x z)) (pow z 2))) (pow y 2))) (/ (pow z 2) y))) (taylor inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (/ 1 z))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (/ 1 z))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) (/ 1 z))) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (* x z) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (+ (* x z) (/ (* z (- (* x z) (* -1 (pow z 2)))) y)) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 z) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow z 2) (- (* x z) (* -1 (pow z 2)))) y)) (* z (- (* x z) (* -1 (pow z 2))))) y)) (* x z)) (* -1 (pow z 2))) y))) (taylor -inf y) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 z) (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 z) (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 z) (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 y z)) (patch (-.f64 #s(literal 1 binary64) (/.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- 1 (/ y z))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (- 1 (/ y z))) (/ y (- 1 (/ y z)))) (taylor 0 x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | y | @ | inf | ((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z)) |
| 1.0ms | y | @ | -inf | ((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z)) |
| 1.0ms | z | @ | -inf | ((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z)) |
| 1.0ms | z | @ | 0 | ((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z)) |
| 1.0ms | z | @ | inf | ((/ (+ x y) (- 1 (/ y z))) (+ x y) (- 1 (/ y z)) (/ y z)) |
| 1× | egg-herbie |
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)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 428 | 9 | 437 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 428 | 10 | 438 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 89.6% | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| ▶ | 69.2% | (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) |
| 47.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (fma.f64 (/.f64 z y) (-.f64 (neg.f64 x) z) (neg.f64 z))) | |
| 41.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) | |
| ▶ | 51.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) |
| ▶ | 51.0% | #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 (fma.f64 (/.f64 x z) y x))) | |
| 51.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) | |
| ▶ | 47.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
| ▶ | 35.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
Compiled 167 to 144 computations (13.8% 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 | (/.f64 x (/.f64 (-.f64 z y) z)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (fma.f64 (/.f64 y z) (+.f64 y x) y) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) | |
| cost-diff | 64 | (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) (/.f64 x y)) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) | |
| cost-diff | 8064 | (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 189 |
| 0 | 47 | 189 |
| 1 | 88 | 187 |
| 2 | 181 | 187 |
| 3 | 334 | 187 |
| 4 | 596 | 187 |
| 5 | 1292 | 187 |
| 6 | 3389 | 179 |
| 7 | 7360 | 179 |
| 0 | 8203 | 179 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) |
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) |
(+.f64 y x) |
y |
x |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 y z) #s(literal 2 binary64)) |
(/.f64 y z) |
z |
#s(literal 2 binary64) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
#s(literal -1 binary64) |
(/.f64 x y) |
x |
y |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) |
(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) |
(fma.f64 (/.f64 y z) (+.f64 y x) y) |
(/.f64 y z) |
y |
z |
(+.f64 y x) |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
x |
(/.f64 (-.f64 z y) z) |
(-.f64 z y) |
z |
y |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) |
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (/.f64 y z) #s(literal 2 binary64)) |
(/.f64 y z) |
z |
#s(literal 2 binary64) |
(+.f64 (/.f64 y z) #s(literal 1 binary64)) |
(-.f64 (/.f64 y z) #s(literal -1 binary64)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
(neg.f64 z) |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
#s(literal -1 binary64) |
(/.f64 x y) |
x |
y |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 (/.f64 y z) #s(literal -1 binary64)) (+.f64 x y))) |
(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) |
(*.f64 (-.f64 (/.f64 y z) #s(literal -1 binary64)) (+.f64 x y)) |
(fma.f64 (/.f64 y z) (+.f64 y x) y) |
(fma.f64 (/.f64 y z) (+.f64 x y) y) |
(/.f64 y z) |
y |
z |
(+.f64 y x) |
(+.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 |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 z y) z) | |
| accuracy | 2.180156561605677 | (/.f64 x (/.f64 (-.f64 z y) z)) | |
| accuracy | 30.420170536821335 | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.01171875 | (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) | |
| accuracy | 1.7483081072664248 | (fma.f64 (/.f64 y z) (+.f64 y x) y) | |
| accuracy | 31.37846566680598 | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (-.f64 #s(literal -1 binary64) (/.f64 x y)) | |
| accuracy | 3.090642483874596 | (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) | |
| accuracy | 32.3512179986555 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 41.5281755937478 | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0.16015625 | (pow.f64 (/.f64 y z) #s(literal 2 binary64)) | |
| accuracy | 5.182475472007663 | (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) | |
| accuracy | 14.184426342900183 | (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) |
| 76.0ms | 256× | 0 | valid |
Compiled 163 to 28 computations (82.8% saved)
ival-pow2: 12.0ms (28% of total)ival-div: 11.0ms (25.7% of total)ival-add: 9.0ms (21% of total)ival-mult: 4.0ms (9.3% of total)ival-sub: 4.0ms (9.3% of total)ival-neg: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal -1 binary64) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt #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 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 z y) z) (patch (/.f64 (-.f64 z y) z) #<representation binary64>) () ()) |
#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (* z (+ x y)) (pow y 2))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (+ (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (* -1 (/ (+ x y) (pow y 2))))))) (taylor 0 z) (#s(alt (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (+ (* -1 (/ (+ x y) (pow y 2))) (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))))))) (taylor 0 z) (#s(alt (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) (patch (*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* (pow z 2) (+ x y)) (pow y 2))) (taylor 0 z) (#s(alt (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* -1 (* (pow z 2) (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (* -1 (/ (+ x y) (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* -1 (/ (+ x y) (pow y 2))) (* (pow z 2) (- (* -1 (* (pow z 2) (+ (/ 1 (pow y 5)) (/ x (pow y 6))))) (+ (/ 1 (pow y 3)) (/ x (pow y 4))))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow z 2) (+ (* -1 (/ (+ x y) (pow y 2))) (* (pow z 2) (- (* (pow z 2) (- (* -1 (* (pow z 2) (+ (/ 1 (pow y 7)) (/ x (pow y 8))))) (+ (/ 1 (pow y 5)) (/ x (pow y 6))))) (+ (/ 1 (pow y 3)) (/ x (pow y 4))))))) (taylor 0 z) (#s(alt (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (patch (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow y 2) (pow z 2))) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (pow z 2) (pow y 2)) (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (pow z 2) (pow y 2)) (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (pow z 2) (pow y 2)) (pow z 2)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (/ x y)))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (/ x y)))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (/ x y)))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (/ x y)))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ x y)) z) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y (+ x y)) (* z (+ x y))) z) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y (+ x y)) (* z (+ x y))) z) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y (+ x y)) (* z (+ x y))) z) (taylor 0 z) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y (+ x y)) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y z) (* y (+ x y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y z) (* y (+ x y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* y z) (* y (+ x y))) z) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 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 (* 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 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 (* 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 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 (* 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 x (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor 0 z) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))) (taylor 0 z) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor 0 z) (#s(alt (/.f64 (-.f64 z y) z) (patch (/.f64 (-.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 z y) z) (patch (/.f64 (-.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 z y) z) (patch (/.f64 (-.f64 z y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ z (* -1 y)) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 z y) z) (patch (/.f64 (-.f64 z y) z) #<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>) () ())) ()) |
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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))) (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>) () ())) ()) |
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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))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ z x) (/ z y)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ z x) (/ z y)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ z x) (/ z y)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) (patch (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal -1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal -1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal -1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (/ 1 x) (/ 1 y)))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 x y)) (patch (-.f64 #s(literal -1 binary64) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) (taylor -inf x) (#s(alt (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) (patch (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) (+.f64 y x) y) (patch (fma.f64 (/.f64 y z) (+.f64 y x) y) #<representation binary64>) () ())) ()) |
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#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ()) |
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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))) (/.f64 x (/.f64 (-.f64 z y) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 (-.f64 z y) z)) (patch (/.f64 x (/.f64 (-.f64 z y) z)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | y | @ | 0 | ((* (/ (+ y x) (- 1 (pow (/ y z) 2))) (+ (/ y z) 1)) (/ (+ y x) (- 1 (pow (/ y z) 2))) (+ y x) (- 1 (pow (/ y z) 2)) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (/ (- z y) z) (- z y) (pow (/ y z) 2)) |
| 6.0ms | x | @ | -inf | ((* (/ (+ y x) (- 1 (pow (/ y z) 2))) (+ (/ y z) 1)) (/ (+ y x) (- 1 (pow (/ y z) 2))) (+ y x) (- 1 (pow (/ y z) 2)) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (/ (- z y) z) (- z y) (pow (/ y z) 2)) |
| 5.0ms | z | @ | 0 | ((* (/ (+ y x) (- 1 (pow (/ y z) 2))) (+ (/ y z) 1)) (/ (+ y x) (- 1 (pow (/ y z) 2))) (+ y x) (- 1 (pow (/ y z) 2)) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (/ (- z y) z) (- z y) (pow (/ y z) 2)) |
| 4.0ms | y | @ | -inf | ((* (/ (+ y x) (- 1 (pow (/ y z) 2))) (+ (/ y z) 1)) (/ (+ y x) (- 1 (pow (/ y z) 2))) (+ y x) (- 1 (pow (/ y z) 2)) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (/ (- z y) z) (- z y) (pow (/ y z) 2)) |
| 4.0ms | y | @ | inf | ((* (/ (+ y x) (- 1 (pow (/ y z) 2))) (+ (/ y z) 1)) (/ (+ y x) (- 1 (pow (/ y z) 2))) (+ y x) (- 1 (pow (/ y z) 2)) (/ (+ x y) (- 1 (/ y z))) (neg z) (/ (+ x y) (- 1 (/ y z))) (* (- -1 (/ x y)) z) (- -1 (/ x y)) (/ x y) (+ (+ (* (/ y z) (+ y x)) y) x) (/ (+ x y) (- 1 (/ y z))) (+ (* (/ y z) (+ y x)) y) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (/ (- z y) z) (- z y) (pow (/ y z) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 583 | 7133 |
| 1 | 1927 | 6775 |
| 2 | 5927 | 6521 |
| 0 | 8289 | 6221 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (/ (* z (+ x y)) (pow y 2))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (+ (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (* -1 (/ (+ x y) (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (+ (* -1 (/ (+ x y) (pow y 2))) (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))))))) |
(* -1 (/ (* (pow z 2) (+ x y)) (pow y 2))) |
(* (pow z 2) (+ (* -1 (* (pow z 2) (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (* -1 (/ (+ x y) (pow y 2))))) |
(* (pow z 2) (+ (* -1 (/ (+ x y) (pow y 2))) (* (pow z 2) (- (* -1 (* (pow z 2) (+ (/ 1 (pow y 5)) (/ x (pow y 6))))) (+ (/ 1 (pow y 3)) (/ x (pow y 4))))))) |
(* (pow z 2) (+ (* -1 (/ (+ x y) (pow y 2))) (* (pow z 2) (- (* (pow z 2) (- (* -1 (* (pow z 2) (+ (/ 1 (pow y 7)) (/ x (pow y 8))))) (+ (/ 1 (pow y 5)) (/ x (pow y 6))))) (+ (/ 1 (pow y 3)) (/ x (pow y 4))))))) |
(* -1 (/ (pow y 2) (pow z 2))) |
(/ (- (pow z 2) (pow y 2)) (pow z 2)) |
(/ (- (pow z 2) (pow y 2)) (pow z 2)) |
(/ (- (pow z 2) (pow y 2)) (pow z 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 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(/ (* y (+ x y)) z) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(/ (* y (+ x y)) z) |
(/ (+ (* y z) (* y (+ x y))) z) |
(/ (+ (* y z) (* y (+ x y))) z) |
(/ (+ (* y z) (* y (+ x 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 (/ (* 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 (/ y z)) |
(/ (+ z (* -1 y)) z) |
(/ (+ z (* -1 y)) z) |
(/ (+ z (* -1 y)) z) |
(* -1 y) |
(- z y) |
(- z y) |
(- z y) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (+ (/ (* y (+ x y)) z) (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(- (+ x (+ y (+ (/ (* y (+ x y)) z) (/ (* (pow y 3) (+ x y)) (pow z 3))))) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))) |
(+ x y) |
(+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) |
(- (+ x (+ y (/ (* (pow y 4) (+ x y)) (pow z 4)))) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))) |
(- (+ x (+ y (/ (* (pow y 6) (+ x y)) (pow z 6)))) (+ (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))) (* -1 (/ (* (pow y 4) (+ x y)) (pow z 4))))) |
1 |
(+ 1 (* -1 (/ (pow y 2) (pow z 2)))) |
(+ 1 (* -1 (/ (pow y 2) (pow z 2)))) |
(+ 1 (* -1 (/ (pow y 2) (pow z 2)))) |
(+ 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 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))))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(* -1 (* z (+ 1 (/ x y)))) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+ x (+ y (/ (* y (+ x 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 (/ (* y (+ x y)) z)) |
(+ y (/ (* y (+ x y)) z)) |
(+ y (/ (* y (+ x 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))))) |
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))))) |
1 |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
(+ 1 (* -1 (/ y z))) |
z |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(/ (pow y 2) (pow z 2)) |
(+ x y) |
(+ x (+ y (/ (* y (+ x y)) z))) |
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(/ (* x (+ 1 (/ y z))) (- 1 (/ (pow y 2) (pow z 2)))) |
(* -1 (* x (+ (* -1 (/ (* y (+ 1 (/ y z))) (* x (- 1 (/ (pow y 2) (pow z 2)))))) (* -1 (/ (+ 1 (/ y z)) (- 1 (/ (pow y 2) (pow z 2)))))))) |
(* -1 (* x (+ (* -1 (/ (* y (+ 1 (/ y z))) (* x (- 1 (/ (pow y 2) (pow z 2)))))) (* -1 (/ (+ 1 (/ y z)) (- 1 (/ (pow y 2) (pow z 2)))))))) |
(* -1 (* x (+ (* -1 (/ (* y (+ 1 (/ y z))) (* x (- 1 (/ (pow y 2) (pow z 2)))))) (* -1 (/ (+ 1 (/ y z)) (- 1 (/ (pow y 2) (pow z 2)))))))) |
(/ x (- 1 (/ (pow y 2) (pow z 2)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ (pow y 2) (pow z 2)))))) (/ 1 (- 1 (/ (pow y 2) (pow z 2))))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ (pow y 2) (pow z 2)))))) (/ 1 (- 1 (/ (pow y 2) (pow z 2))))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ (pow y 2) (pow z 2)))))) (/ 1 (- 1 (/ (pow y 2) (pow z 2))))))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (/ (* x z) y)) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(* -1 (* x (+ (/ 1 x) (/ 1 y)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(/ (* x y) z) |
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))))) |
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))))) |
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))))) |
(/ x (- 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)) |
| Outputs |
|---|
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* z (+ (* -1 (/ (* z (+ x y)) (pow y 2))) (* -1 (/ (+ x y) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (+ (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (* -1 (/ (+ x y) (pow y 2))))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) x (/.f64 (/.f64 z y) y))) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (+ (* -1 (/ (+ x y) (pow y 2))) (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) z (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* -1 (/ (* (pow z 2) (+ x y)) (pow y 2))) |
(*.f64 (/.f64 (*.f64 z z) y) (-.f64 #s(literal -1 binary64) (/.f64 x y))) |
(* (pow z 2) (+ (* -1 (* (pow z 2) (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (* -1 (/ (+ x y) (pow y 2))))) |
(*.f64 (*.f64 (neg.f64 z) z) (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64)))) z (/.f64 (/.f64 (+.f64 y x) y) y))) |
(* (pow z 2) (+ (* -1 (/ (+ x y) (pow y 2))) (* (pow z 2) (- (* -1 (* (pow z 2) (+ (/ 1 (pow y 5)) (/ x (pow y 6))))) (+ (/ 1 (pow y 3)) (/ x (pow y 4))))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (*.f64 z z) (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 z z) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)) (*.f64 z z)) |
(* (pow z 2) (+ (* -1 (/ (+ x y) (pow y 2))) (* (pow z 2) (- (* (pow z 2) (- (* -1 (* (pow z 2) (+ (/ 1 (pow y 7)) (/ x (pow y 8))))) (+ (/ 1 (pow y 5)) (/ x (pow y 6))))) (+ (/ 1 (pow y 3)) (/ x (pow y 4))))))) |
(*.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (*.f64 z z) (+.f64 (/.f64 x (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))))) (*.f64 z z))) (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 z z) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)) (*.f64 z z)) |
(* -1 (/ (pow y 2) (pow z 2))) |
(*.f64 (neg.f64 y) (/.f64 (/.f64 y z) z)) |
(/ (- (pow z 2) (pow y 2)) (pow z 2)) |
(fma.f64 (neg.f64 y) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) |
(/ (- (pow z 2) (pow y 2)) (pow z 2)) |
(fma.f64 (neg.f64 y) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) |
(/ (- (pow z 2) (pow y 2)) (pow z 2)) |
(fma.f64 (neg.f64 y) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) x (/.f64 (/.f64 z 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 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) z (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x 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 (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) x (/.f64 (/.f64 z 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 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) z (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x 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) |
(/ (* y (+ x y)) z) |
(/.f64 (*.f64 (+.f64 y x) y) z) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(*.f64 (+.f64 y x) (/.f64 (+.f64 y z) z)) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(*.f64 (+.f64 y x) (/.f64 (+.f64 y z) z)) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(*.f64 (+.f64 y x) (/.f64 (+.f64 y z) z)) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) x (/.f64 (/.f64 z 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 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) z (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(/ (* y (+ x y)) z) |
(/.f64 (*.f64 (+.f64 y x) y) z) |
(/ (+ (* y z) (* y (+ x y))) z) |
(*.f64 y (/.f64 (+.f64 (+.f64 y x) z) z)) |
(/ (+ (* y z) (* y (+ x y))) z) |
(*.f64 y (/.f64 (+.f64 (+.f64 y x) z) z)) |
(/ (+ (* y z) (* y (+ x y))) z) |
(*.f64 y (/.f64 (+.f64 (+.f64 y x) z) z)) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (-.f64 #s(literal -1 binary64) (/.f64 x y)) (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y) (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) x (/.f64 (/.f64 z 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 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 z (pow.f64 y #s(literal 3 binary64))))) (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) z (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) y)) z (-.f64 #s(literal -1 binary64) (/.f64 x y))) z) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) |
(/.f64 (*.f64 x (fma.f64 z (/.f64 z y) z)) (neg.f64 y)) |
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) x (/.f64 x (*.f64 y y)))) z (/.f64 (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 (neg.f64 (*.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 (/ y z)) |
(/.f64 y (neg.f64 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) |
(/ (pow y 2) (pow z 2)) |
(*.f64 (/.f64 y z) (/.f64 y z)) |
(/ (pow y 2) (pow z 2)) |
(*.f64 (/.f64 y z) (/.f64 y z)) |
(/ (pow y 2) (pow z 2)) |
(*.f64 (/.f64 y z) (/.f64 y z)) |
(/ (pow y 2) (pow z 2)) |
(*.f64 (/.f64 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 (+ (/ (* y (+ x y)) z) (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
(+.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) z))) z) (+.f64 y x)) |
(- (+ x (+ y (+ (/ (* y (+ x y)) z) (/ (* (pow y 3) (+ x y)) (pow z 3))))) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))) |
(+.f64 (fma.f64 (+.f64 y x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) z))) z) y)) x) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* (pow y 2) (+ x y)) (pow z 2)))) |
(fma.f64 (/.f64 (+.f64 y x) z) (*.f64 (/.f64 y z) y) (+.f64 y x)) |
(- (+ x (+ y (/ (* (pow y 4) (+ x y)) (pow z 4)))) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2)))) |
(fma.f64 (/.f64 (+.f64 y x) z) (*.f64 (/.f64 y z) y) (fma.f64 (/.f64 (+.f64 y x) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) (+.f64 y x))) |
(- (+ x (+ y (/ (* (pow y 6) (+ x y)) (pow z 6)))) (+ (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))) (* -1 (/ (* (pow y 4) (+ x y)) (pow z 4))))) |
(+.f64 (fma.f64 (/.f64 (+.f64 y x) (pow.f64 z #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)) (fma.f64 (/.f64 (+.f64 y x) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)) (fma.f64 (/.f64 (+.f64 y x) z) (*.f64 (/.f64 y z) y) y))) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (pow y 2) (pow z 2)))) |
(fma.f64 (neg.f64 y) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (pow y 2) (pow z 2)))) |
(fma.f64 (neg.f64 y) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (pow y 2) (pow z 2)))) |
(fma.f64 (neg.f64 y) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)) |
(+ 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 (fma.f64 (+.f64 y x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) z))) z) y)) x) |
(* -1 z) |
(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 (fma.f64 (+.f64 y x) (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (+.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 y (/.f64 (*.f64 (+.f64 y x) y) z))) z) y)) x) |
(* -1 (* z (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* -1 (* z (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* -1 (* z (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(* -1 (* z (+ 1 (/ x y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
(+.f64 (fma.f64 (+.f64 y x) (/.f64 y z) y) x) |
(+ x (+ y (/ (* y (+ x y)) z))) |
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(fma.f64 (/.f64 (/.f64 y (fma.f64 (neg.f64 y) (/.f64 (/.f64 y z) z) #s(literal 1 binary64))) x) x (/.f64 x (fma.f64 (neg.f64 y) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ (pow y 2) (pow z 2)))))) (/ 1 (- 1 (/ (pow y 2) (pow z 2))))))) |
(fma.f64 (/.f64 (/.f64 y (fma.f64 (neg.f64 y) (/.f64 (/.f64 y z) z) #s(literal 1 binary64))) x) x (/.f64 x (fma.f64 (neg.f64 y) (/.f64 (/.f64 y z) z) #s(literal 1 binary64)))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(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 (neg.f64 x) (/.f64 z y)) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 z x) (/.f64 z y))) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 z x) (/.f64 z y))) |
(* -1 (* x (+ (/ z x) (/ z y)))) |
(*.f64 (neg.f64 x) (+.f64 (/.f64 z x) (/.f64 z y))) |
(* -1 (/ x y)) |
(/.f64 (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 (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 x z) y x) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y x) (/.f64 y z)) x x) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y x) (/.f64 y z)) x x) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y x) (/.f64 y z)) x x) |
(/ x (- 1 (/ y z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(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 y) z) |
(*.f64 (/.f64 y z) x) |
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y x) (/.f64 y z)) x) |
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y x) (/.f64 y z)) x) |
(* -1 (* x (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 y x) (/.f64 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 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) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 162 |
| 0 | 47 | 162 |
| 1 | 224 | 152 |
| 2 | 2137 | 152 |
| 0 | 8330 | 152 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) |
(/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) |
(+.f64 y x) |
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
(neg.f64 z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z) |
(-.f64 #s(literal -1 binary64) (/.f64 x y)) |
(/.f64 x y) |
(+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) |
(fma.f64 (/.f64 y z) (+.f64 y x) y) |
(/.f64 y z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(/.f64 (-.f64 z y) z) |
(-.f64 z y) |
(pow.f64 (/.f64 y z) #s(literal 2 binary64)) |
| Outputs |
|---|
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Compiled 36 997 to 4 303 computations (88.4% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 732 | 11 | 1 743 |
| Fresh | 2 | 2 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 738 | 15 | 1 753 |
| Status | Accuracy | Program |
|---|---|---|
| 69.2% | (*.f64 (/.f64 (+.f64 y x) (fma.f64 (/.f64 (neg.f64 y) z) (/.f64 y z) #s(literal 1 binary64))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) | |
| ▶ | 89.8% | (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) |
| 41.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) | |
| 16.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) | |
| ▶ | 51.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
| 36.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 #s(approx (+ (* (/ y z) (+ y x)) y) (*.f64 (/.f64 y z) x)) x)) | |
| ▶ | 51.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
| ▶ | 51.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
| ✓ | 47.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
| 15.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) | |
| ✓ | 35.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| ▶ | 35.0% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
| 16.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y)))) | |
| 16.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 (/.f64 y z) y y))) | |
| 2.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y))) |
Compiled 235 to 211 computations (10.2% saved)
| 1× | egg-herbie |
Found 18 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 | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) | |
| cost-diff | 384 | (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) | |
| cost-diff | 0 | (-.f64 z y) | |
| cost-diff | 0 | (/.f64 z (-.f64 z y)) | |
| cost-diff | 0 | (*.f64 (/.f64 z (-.f64 z y)) x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (fma.f64 (/.f64 x z) y x) | |
| cost-diff | 0 | #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) | |
| cost-diff | 0 | (+.f64 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 162 |
| 0 | 38 | 162 |
| 1 | 64 | 162 |
| 2 | 98 | 162 |
| 3 | 117 | 162 |
| 4 | 150 | 162 |
| 5 | 236 | 162 |
| 6 | 416 | 162 |
| 7 | 978 | 162 |
| 8 | 2371 | 162 |
| 9 | 3232 | 162 |
| 10 | 3366 | 162 |
| 11 | 3466 | 162 |
| 12 | 3509 | 162 |
| 13 | 3513 | 162 |
| 14 | 3517 | 162 |
| 15 | 3529 | 162 |
| 16 | 3531 | 162 |
| 0 | 3531 | 162 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.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 y x)) |
(+.f64 y x) |
y |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) |
(fma.f64 (/.f64 x z) y x) |
(/.f64 x z) |
x |
z |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/.f64 z (-.f64 z y)) |
z |
(-.f64 z y) |
y |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
x |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
#s(literal 1 binary64) |
(/.f64 y z) |
y |
z |
| Outputs |
|---|
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) |
(*.f64 (+.f64 x y) (/.f64 z (-.f64 z y))) |
(/.f64 z (-.f64 z y)) |
z |
(-.f64 z y) |
y |
(+.f64 x y) |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) |
(fma.f64 (/.f64 x z) y x) |
(/.f64 x z) |
x |
z |
y |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(*.f64 x (/.f64 z (-.f64 z y))) |
(/.f64 z (-.f64 z y)) |
z |
(-.f64 z y) |
y |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 x (/.f64 z (-.f64 z y)))) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(*.f64 x (/.f64 z (-.f64 z y))) |
x |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 (-.f64 z y) z) |
#s(literal 1 binary64) |
(/.f64 y z) |
y |
z |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (/.f64 y z)) | |
| accuracy | 2.180156561605677 | (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) | |
| accuracy | 30.420170536821335 | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) | |
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0.015625 | (/.f64 z (-.f64 z y)) | |
| accuracy | 2.095391752742802 | (*.f64 (/.f64 z (-.f64 z y)) x) | |
| accuracy | 30.420170536821335 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 2.7107253123991737 | (fma.f64 (/.f64 x z) y x) | |
| accuracy | 30.420170536821335 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) | |
| accuracy | 31.133157613551816 | #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 31.308929915933362 | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) | |
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.015625 | (/.f64 z (-.f64 z y)) | |
| accuracy | 6.545460552781047 | (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) |
| 47.0ms | 256× | 0 | valid |
Compiled 123 to 21 computations (82.9% saved)
ival-div: 11.0ms (41.7% of total)ival-mult: 8.0ms (30.3% of total)ival-sub: 3.0ms (11.4% of total)ival-add: 3.0ms (11.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 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 #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 (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) (patch #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x z) y x) (patch (fma.f64 (/.f64 x z) y x) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 z (-.f64 z y)) x) (patch (*.f64 (/.f64 z (-.f64 z y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (patch (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #<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 z (-.f64 z y)) (+.f64 x y)) (patch (*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | x | @ | inf | ((* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (/ x (- 1 (/ y z))) (/ (+ x y) (- 1 (/ y z))) (- 1 (/ y z)) (/ y z)) |
| 3.0ms | x | @ | -inf | ((* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (/ x (- 1 (/ y z))) (/ (+ x y) (- 1 (/ y z))) (- 1 (/ y z)) (/ y z)) |
| 2.0ms | x | @ | 0 | ((* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (/ x (- 1 (/ y z))) (/ (+ x y) (- 1 (/ y z))) (- 1 (/ y z)) (/ y z)) |
| 1.0ms | y | @ | -inf | ((* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (/ x (- 1 (/ y z))) (/ (+ x y) (- 1 (/ y z))) (- 1 (/ y z)) (/ y z)) |
| 1.0ms | z | @ | -inf | ((* (/ z (- z y)) (+ x y)) (/ z (- z y)) (- z y) (+ x y) (/ (+ x y) (- 1 (/ y z))) (+ y x) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ x z) y) x) (/ x z) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (/ x (- 1 (/ y z))) (/ (+ x y) (- 1 (/ y z))) (- 1 (/ y z)) (/ y z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 408 | 5999 |
| 1 | 1308 | 5627 |
| 2 | 3851 | 5052 |
| 0 | 8441 | 4806 |
| 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))))))) |
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(* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(* -1 y) |
(- z y) |
(- z y) |
(- z y) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
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(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) |
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) |
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))) |
(/ (* x y) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ (+ (* x y) (* x z)) z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -1 (/ (* z (+ x y)) y)) |
(* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* -1 (* z (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) |
(* -1 (/ (* x z) y)) |
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) |
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) |
(* z (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2)))))) |
(* -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 (/ (* 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 (/ y z)) |
(- (+ 1 (/ (pow y 2) (pow z 2))) (* -1 (/ y z))) |
(- (+ 1 (/ (pow y 3) (pow z 3))) (+ (* -1 (/ y z)) (* -1 (/ (pow y 2) (pow z 2))))) |
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))))) |
(+ 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 |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(+ x (/ (* x y) z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ 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 |
(+ 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))))) |
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(- (+ x (+ y (/ (* (pow y 3) (+ x y)) (pow z 3)))) (+ (* -1 (/ (* y (+ x y)) z)) (* -1 (/ (* (pow y 2) (+ x y)) (pow z 2))))) |
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(/ y z) |
(/ y z) |
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(+ x (+ y (* -1 (/ (- (* -1 (/ (* (pow y 2) (+ x y)) z)) (* y (+ x y))) z)))) |
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(/ y z) |
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(+ x (* y (- (+ 1 (* y (- (/ (* y (- 1 (* -1 (/ x z)))) (pow z 2)) (* -1 (/ (- 1 (* -1 (/ x z))) z))))) (* -1 (/ x z))))) |
1 |
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(/ y z) |
(/ y z) |
(/ y z) |
(* -1 z) |
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(- (+ (* -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 y)) |
(/ (+ (* -1 z) (* -1 (/ (pow z 2) y))) y) |
(/ (- (+ (* -1 z) (* -1 (/ (pow z 3) (pow y 2)))) (/ (pow z 2) y)) y) |
(/ (- (+ (* -1 z) (* -1 (/ (pow z 4) (pow y 3)))) (+ (/ (pow z 2) y) (/ (pow z 3) (pow y 2)))) y) |
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y |
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(- (+ (* -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) |
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(- (+ (* -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 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) 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 (/ 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))) |
(* -1 (/ z y)) |
(* -1 (/ (+ z (/ (pow z 2) y)) y)) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y))) y)) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (* -1 (pow z 3))) y)) (pow z 2)) y))) y)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -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 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)) |
(/ (* x y) z) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z))))) |
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x 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))) |
(* -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 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 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 (/ 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 z) (- z y)) |
(+ (/ (* x z) (- z y)) (/ (* y z) (- z y))) |
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(+ (/ (* x z) (- z y)) (/ (* y z) (- z y))) |
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 |
(+ 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)))) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ y (- 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 (- 1 (/ y z))) |
(/ x (- 1 (/ y z))) |
(/ x (- 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 (- 1 (/ y z))) (/ y (- 1 (/ y 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 |
(* 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 |
(* 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 z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x (- 1 (/ 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 (- 1 (/ y z))) |
(/ x (- 1 (/ y z))) |
(/ x (- 1 (/ y z))) |
(/ 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)))))) |
(/ (* 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 (- 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)))))) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ x (- 1 (/ y z))) |
(/ x (- 1 (/ y z))) |
(/ x (- 1 (/ y z))) |
(/ x (- 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)))))) |
| 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 y) #s(literal 1 binary64)) (/.f64 z y) (/.f64 (+.f64 y x) y))) |
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64))))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 y x))) |
(/ x (- 1 (/ y z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #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) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 y z) x x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 y z) x x) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x (- 1 (/ y z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #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 (-.f64 z y) z)) |
(/ x (- 1 (/ y z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(/ x (- 1 (/ y z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(/ x (- 1 (/ y z))) |
(/.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)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(*.f64 (neg.f64 x) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y z) #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 139 |
| 0 | 38 | 139 |
| 1 | 151 | 139 |
| 2 | 1230 | 139 |
| 0 | 8577 | 139 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) |
(/.f64 z (-.f64 z y)) |
(-.f64 z y) |
(+.f64 x y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
(+.f64 y x) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x)) |
(fma.f64 (/.f64 x z) y x) |
(/.f64 x z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
(-.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 y z) |
| Outputs |
|---|
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Compiled 25 190 to 2 870 computations (88.6% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 457 | 4 | 1 461 |
| Fresh | 3 | 5 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 462 | 14 | 1 476 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.3% | (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) |
| 69.2% | (*.f64 (/.f64 (+.f64 y x) (fma.f64 (/.f64 (neg.f64 y) z) (/.f64 y z) #s(literal 1 binary64))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) | |
| ▶ | 16.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) |
| ✓ | 51.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
| ✓ | 51.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
| ✓ | 51.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
| ▶ | 16.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x)) |
| ✓ | 47.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
| 15.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (neg.f64 x) y)) z)) | |
| ✓ | 35.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| ▶ | 36.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x))) |
| 16.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 (/.f64 y z) y y))) | |
| ▶ | 2.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y))) |
| 41.6% | #s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
Compiled 197 to 175 computations (11.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- z y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- z y) (neg.f64 y)) z) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) | |
| cost-diff | 384 | (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) | |
| cost-diff | 0 | #s(approx (- z y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 z #s(approx (- z y) (neg.f64 y))) | |
| cost-diff | 0 | (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (fma.f64 (/.f64 y z) x x) | |
| cost-diff | 0 | #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x))) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (*.f64 (/.f64 y z) y) | |
| cost-diff | 0 | #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y)) | |
| cost-diff | 0 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y))) | |
| cost-diff | 0 | (-.f64 z y) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (*.f64 (+.f64 x y) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 225 |
| 0 | 48 | 225 |
| 1 | 88 | 221 |
| 2 | 145 | 221 |
| 3 | 220 | 221 |
| 4 | 335 | 221 |
| 5 | 459 | 221 |
| 6 | 817 | 221 |
| 7 | 1987 | 221 |
| 8 | 3479 | 221 |
| 9 | 4358 | 221 |
| 10 | 5055 | 221 |
| 11 | 5123 | 221 |
| 12 | 5130 | 221 |
| 13 | 5132 | 221 |
| 14 | 5356 | 221 |
| 15 | 5510 | 221 |
| 16 | 5714 | 221 |
| 17 | 5904 | 221 |
| 18 | 5904 | 221 |
| 19 | 5904 | 221 |
| 20 | 5904 | 221 |
| 0 | 5904 | 221 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) |
(*.f64 (+.f64 x y) z) |
(+.f64 x y) |
x |
y |
z |
(-.f64 z y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y))) |
#s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
y |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x))) |
#s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x)) |
(fma.f64 (/.f64 y z) x x) |
(/.f64 y z) |
y |
z |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x)) |
(*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x) |
(/.f64 z #s(approx (- z y) (neg.f64 y))) |
z |
#s(approx (- z y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) |
(/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) |
x |
(/.f64 #s(approx (- z y) (neg.f64 y)) z) |
#s(approx (- z y) (neg.f64 y)) |
(neg.f64 y) |
y |
z |
| Outputs |
|---|
(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 y x)) |
(*.f64 (+.f64 x y) z) |
(*.f64 z (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
z |
(-.f64 z y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y))) |
#s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
y |
z |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x))) |
#s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x)) |
(fma.f64 (/.f64 y z) x x) |
(/.f64 y z) |
y |
z |
x |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 (*.f64 z x) #s(approx (- z y) (neg.f64 y)))) |
(*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x) |
(/.f64 (*.f64 z x) #s(approx (- z y) (neg.f64 y))) |
(/.f64 z #s(approx (- z y) (neg.f64 y))) |
z |
#s(approx (- z y) (neg.f64 y)) |
(neg.f64 y) |
y |
x |
#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))) (/.f64 (*.f64 z x) #s(approx (- z y) (neg.f64 y)))) |
(/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) |
(/.f64 (*.f64 z x) #s(approx (- z y) (neg.f64 y))) |
x |
(/.f64 #s(approx (- z y) (neg.f64 y)) z) |
#s(approx (- z y) (neg.f64 y)) |
(neg.f64 y) |
y |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (/.f64 #s(approx (- z y) (neg.f64 y)) z) | |
| accuracy | 2.180156561605677 | (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) | |
| accuracy | 30.420170536821335 | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) | |
| accuracy | 32.27846062902509 | #s(approx (- z y) (neg.f64 y)) | |
| accuracy | 0.015625 | (/.f64 z #s(approx (- z y) (neg.f64 y))) | |
| accuracy | 2.095391752742802 | (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x) | |
| accuracy | 30.420170536821335 | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x)) | |
| accuracy | 32.27846062902509 | #s(approx (- z y) (neg.f64 y)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 2.1824117435771884 | (fma.f64 (/.f64 y z) x x) | |
| accuracy | 30.420170536821335 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x))) | |
| accuracy | 31.133157613551816 | #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x)) | |
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0.13671875 | (*.f64 (/.f64 y z) y) | |
| accuracy | 31.37846566680598 | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y))) | |
| accuracy | 40.694460045666055 | #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y)) | |
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.0078125 | (*.f64 (+.f64 x y) z) | |
| accuracy | 13.879062833687131 | (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) |
| 54.0ms | 256× | 0 | valid |
Compiled 142 to 25 computations (82.4% saved)
ival-div: 18.0ms (49.8% of total)ival-mult: 8.0ms (22.1% of total)ival-add: 6.0ms (16.6% of total)ival-sub: 2.0ms (5.5% of total)ival-neg: 1.0ms (2.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) (patch (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y)) (patch #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y z) y) (patch (*.f64 (/.f64 y z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x)) (patch #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 y z) x x) (patch (fma.f64 (/.f64 y z) x x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x)) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x) (patch (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 z #s(approx (- z y) (neg.f64 y))) (patch (/.f64 z #s(approx (- z y) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- z y) (neg.f64 y)) (patch #s(approx (- z y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) (patch (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- z y) (neg.f64 y)) z) (patch (/.f64 #s(approx (- z y) (neg.f64 y)) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (* z (+ x y)) y)) (taylor 0 z) (#s(alt (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) (patch (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (* z (+ (/ 1 y) (/ x (pow y 2))))) (* -1 (/ (+ x y) y)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) (patch (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* 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 (+.f64 x y) z) (-.f64 z y)) (patch (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (+ x y) y)) (* z (- (* z (- (* -1 (* z (+ (/ 1 (pow y 3)) (/ x (pow y 4))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))) (+ (/ 1 y) (/ x (pow y 2))))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) (patch (/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) z) (patch (*.f64 (+.f64 x y) z) #<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>) () ())) ()) |
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#s(alt (/ (* x z) (- z y)) (taylor inf x) (#s(alt (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x) (patch (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor inf x) (#s(alt (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x) (patch (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) (patch (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) (patch (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) (patch (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) (patch (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) (taylor inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) #<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 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y)) (patch #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y)) (patch #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x)) (patch #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x)) (patch #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) x x) (patch (fma.f64 (/.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) x x) (patch (fma.f64 (/.f64 y z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y z)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y z) x x) (patch (fma.f64 (/.f64 y z) x x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x) (patch (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x) (patch (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x) (patch (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) (patch (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) (patch (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) (patch (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) (- z y)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) (patch (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 (/ y z))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) (taylor -inf x) (#s(alt #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) (patch #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | x | @ | 0 | ((/ (* (+ x y) z) (- z y)) (* (+ x y) z) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* (/ y z) y) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ y z) x) x) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (/ z (- z y)) (- z y) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z)) |
| 2.0ms | x | @ | -inf | ((/ (* (+ x y) z) (- z y)) (* (+ x y) z) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* (/ y z) y) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ y z) x) x) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (/ z (- z y)) (- z y) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z)) |
| 2.0ms | z | @ | -inf | ((/ (* (+ x y) z) (- z y)) (* (+ x y) z) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* (/ y z) y) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ y z) x) x) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (/ z (- z y)) (- z y) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z)) |
| 2.0ms | x | @ | inf | ((/ (* (+ x y) z) (- z y)) (* (+ x y) z) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* (/ y z) y) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ y z) x) x) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (/ z (- z y)) (- z y) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z)) |
| 2.0ms | y | @ | -inf | ((/ (* (+ x y) z) (- z y)) (* (+ x y) z) (+ x y) (- z y) (/ (+ x y) (- 1 (/ y z))) (+ (+ (* (/ y z) (+ y x)) y) x) (* (/ y z) y) (/ y z) (/ (+ x y) (- 1 (/ y z))) (/ x (/ (- z y) z)) (+ (* (/ y z) x) x) (/ (+ x y) (- 1 (/ y z))) (* (/ z (- z y)) x) (/ z (- z y)) (- z y) (/ x (/ (- z y) z)) (/ (+ x y) (- 1 (/ y z))) (/ (- z y) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 461 | 6720 |
| 1 | 1498 | 6332 |
| 2 | 4499 | 6081 |
| 0 | 8381 | 5770 |
| 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) |
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(+ (* -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 (/ z y)) |
(* -1 (/ (+ z (/ (pow z 2) y)) y)) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y))) y)) |
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (pow z 4) y) (* -1 (pow z 3))) y)) (pow z 2)) y))) y)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z 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 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 (/ y z)) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(* -1 (* y (- (/ 1 z) (/ 1 y)))) |
(* -1 (* y (- (/ 1 z) (/ 1 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 (/ (pow y 2) z)) |
(+ y (+ (* x (+ 1 (/ y z))) (/ (pow y 2) z))) |
(+ y (+ (* x (+ 1 (/ y z))) (/ (pow y 2) z))) |
(+ y (+ (* x (+ 1 (/ y z))) (/ (pow y 2) 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 (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 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 (- 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) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- 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)) (/ (* 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 (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z)))))) |
(* x (+ 1 (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z)))))) |
(* x (+ 1 (+ (/ y x) (+ (/ y z) (/ (pow y 2) (* x z)))))) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* 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)))))) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ x (- 1 (/ y z))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(* x (+ (/ 1 (- 1 (/ y z))) (/ y (* x (- 1 (/ y z)))))) |
(/ (* x 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)))))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(/ x (- 1 (/ y z))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(/ (* x z) (- z y)) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(/ x (- 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) (- 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)))))) |
| 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) |
(/ (* y (+ x y)) z) |
(/.f64 (*.f64 (+.f64 y x) y) z) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(*.f64 (+.f64 y x) (/.f64 (+.f64 y z) z)) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(*.f64 (+.f64 y x) (/.f64 (+.f64 y z) z)) |
(/ (+ (* y (+ x y)) (* z (+ x y))) z) |
(*.f64 (+.f64 y x) (/.f64 (+.f64 y z) z)) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ (pow y 2) z) |
(/.f64 (*.f64 y y) z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(* -1 (/ (* z (+ x y)) y)) |
(*.f64 (-.f64 (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 (neg.f64 x) (/.f64 z y)) |
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) |
(/.f64 (*.f64 x (fma.f64 z (/.f64 z y) z)) (neg.f64 y)) |
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) x (/.f64 x (*.f64 y y)))) z (/.f64 (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 (neg.f64 (*.f64 z (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (/.f64 x (*.f64 y y))) z (/.f64 (neg.f64 x) y)) z) |
(/ (* x y) z) |
(*.f64 (/.f64 y z) x) |
(/ (+ (* x y) (* x z)) z) |
(*.f64 x (/.f64 (+.f64 y z) z)) |
(/ (+ (* x y) (* x z)) z) |
(*.f64 x (/.f64 (+.f64 y z) z)) |
(/ (+ (* x y) (* x z)) z) |
(*.f64 x (/.f64 (+.f64 y z) z)) |
(* -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 (neg.f64 x) (/.f64 z y)) |
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) |
(/.f64 (*.f64 x (fma.f64 z (/.f64 z y) z)) (neg.f64 y)) |
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) x (/.f64 x (*.f64 y y)))) z (/.f64 (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 (neg.f64 (*.f64 z (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (/.f64 x (*.f64 y y))) z (/.f64 (neg.f64 x) y)) z) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 z y) y)) z) |
(* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.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) |
(* z (- (* z (- (* z (- (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 y #s(literal 4 binary64)))) z (/.f64 (/.f64 #s(literal -1 binary64) y) y)) z (/.f64 #s(literal -1 binary64) y)) z) |
(* -1 y) |
(neg.f64 y) |
(- z y) |
(-.f64 z y) |
(- z y) |
(-.f64 z y) |
(- z y) |
(-.f64 z y) |
(* -1 (/ (* x z) y)) |
(*.f64 (neg.f64 x) (/.f64 z y)) |
(* z (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2))))) |
(/.f64 (*.f64 x (fma.f64 z (/.f64 z y) z)) (neg.f64 y)) |
(* z (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2)))))) |
(*.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) x (/.f64 x (*.f64 y y)))) z (/.f64 (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 (neg.f64 (*.f64 z (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (/.f64 x (*.f64 y y))) z (/.f64 (neg.f64 x) 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))))))) |
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(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(fma.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (/.f64 y z) y y) (neg.f64 x)) (/.f64 y z)) x) |
(* -1 (* x (- (+ (* -1 (/ y z)) (* -1 (/ (+ y (/ (pow y 2) z)) x))) 1))) |
(fma.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (/.f64 y z) y y) (neg.f64 x)) (/.f64 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 z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 x z) y x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 x z) y x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 x z) y x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(fma.f64 (/.f64 x z) y x) |
(/ x (- 1 (/ y z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(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) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ (* x z) (- z y)) |
(*.f64 (/.f64 z (-.f64 z y)) x) |
(/ x (- 1 (/ y z))) |
(/.f64 x (/.f64 (-.f64 z y) z)) |
(* -1 (* x (- (* -1 (/ y (* x (- 1 (/ y z))))) (/ 1 (- 1 (/ y z)))))) |
(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))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 198 |
| 0 | 48 | 198 |
| 1 | 201 | 194 |
| 2 | 1687 | 194 |
| 0 | 8172 | 194 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) |
(*.f64 (+.f64 x y) z) |
(+.f64 x y) |
(-.f64 z y) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y))) |
#s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y)) |
(*.f64 (/.f64 y z) y) |
(/.f64 y z) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x))) |
#s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x)) |
(fma.f64 (/.f64 y z) x x) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x)) |
(*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x) |
(/.f64 z #s(approx (- z y) (neg.f64 y))) |
#s(approx (- z y) (neg.f64 y)) |
(/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) |
(/.f64 #s(approx (- z y) (neg.f64 y)) z) |
| Outputs |
|---|
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Compiled 15 602 to 1 930 computations (87.6% saved)
15 alts after pruning (7 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 082 | 5 | 1 087 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 086 | 15 | 1 101 |
| Status | Accuracy | Program |
|---|---|---|
| 41.1% | (/.f64 (*.f64 (+.f64 x y) z) #s(approx (- z y) (neg.f64 y))) | |
| 41.6% | (/.f64 #s(approx (* (+ x y) z) (*.f64 y z)) (-.f64 z y)) | |
| 69.2% | (*.f64 (/.f64 (+.f64 y x) (fma.f64 (/.f64 (neg.f64 y) z) (/.f64 y z) #s(literal 1 binary64))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) | |
| ✓ | 16.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 #s(approx (- z y) (neg.f64 y)) z))) |
| ✓ | 51.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))) |
| ✓ | 51.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
| ✓ | 51.2% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
| ✓ | 16.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z #s(approx (- z y) (neg.f64 y))) x)) |
| 15.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 x #s(approx (- z y) (neg.f64 y))) z)) | |
| ✓ | 47.6% | #s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
| ✓ | 35.1% | #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
| ✓ | 36.9% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x))) |
| 16.8% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 (/.f64 y z) y y))) | |
| 2.5% | #s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (/.f64 (*.f64 y y) z))) | |
| 41.6% | #s(approx (/ (* (+ x y) z) (- z y)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
Compiled 383 to 209 computations (45.4% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (/.f64 (*.f64 y y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 (/.f64 y z) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (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 z #s(approx (- z y) (neg.f64 y))) x)) |
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
#s(approx (/ (* (+ x y) z) (- z y)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 #s(approx (+ (* (/ y z) (+ y x)) y) (*.f64 (/.f64 y z) x)) x)) |
(/.f64 #s(approx (* (+ x y) z) (*.f64 y z)) (-.f64 z y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x))) |
(/.f64 (*.f64 (+.f64 x y) z) #s(approx (- z y) (neg.f64 y))) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) |
(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 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 #s(literal 1 binary64) (/.f64 y z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) |
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
(*.f64 (/.f64 (+.f64 y x) (fma.f64 (/.f64 (neg.f64 y) z) (/.f64 y z) #s(literal 1 binary64))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 (/.f64 y z) #s(literal 1 binary64))) |
| 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 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
4 calls:
| 14.0ms | y |
| 11.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 9.0ms | z |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.8% | 1 | x |
| 97.4% | 3 | y |
| 95.3% | 3 | z |
| 99.9% | 3 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (/.f64 (*.f64 y y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 (/.f64 y z) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (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 z #s(approx (- z y) (neg.f64 y))) x)) |
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
#s(approx (/ (* (+ x y) z) (- z y)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 #s(approx (+ (* (/ y z) (+ y x)) y) (*.f64 (/.f64 y z) x)) x)) |
(/.f64 #s(approx (* (+ x y) z) (*.f64 y z)) (-.f64 z y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x))) |
(/.f64 (*.f64 (+.f64 x y) z) #s(approx (- z y) (neg.f64 y))) |
(*.f64 (/.f64 z (-.f64 z y)) (+.f64 x y)) |
(/.f64 (*.f64 (+.f64 x y) z) (-.f64 z y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 (fma.f64 (/.f64 y z) (+.f64 y x) y) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 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 #s(literal 1 binary64) (/.f64 y z)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 x (/.f64 (-.f64 z y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (/.f64 y (/.f64 (-.f64 z y) z))) |
| Outputs |
|---|
(*.f64 (/.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:
| 9.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
Compiled 9 to 8 computations (11.1% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (/.f64 (*.f64 y y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 (/.f64 y z) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (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 z #s(approx (- z y) (neg.f64 y))) x)) |
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
#s(approx (/ (* (+ x y) z) (- z y)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 #s(approx (+ (* (/ y z) (+ y x)) y) (*.f64 (/.f64 y z) x)) x)) |
(/.f64 #s(approx (* (+ x y) z) (*.f64 y z)) (-.f64 z y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x))) |
(/.f64 (*.f64 (+.f64 x y) z) #s(approx (- z y) (neg.f64 y))) |
| Outputs |
|---|
#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)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y (fma.f64 (/.f64 x z) y x))) |
4 calls:
| 8.0ms | x |
| 7.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 6.0ms | y |
| 6.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.8% | 3 | x |
| 78.5% | 3 | z |
| 76.8% | 3 | y |
| 75.1% | 5 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (/.f64 (*.f64 y y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 (/.f64 y z) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (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 z #s(approx (- z y) (neg.f64 y))) x)) |
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
#s(approx (/ (* (+ x y) z) (- z y)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 (/.f64 z (-.f64 z y)) x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 #s(approx (+ (* (/ y z) (+ y x)) y) (*.f64 (/.f64 y z) x)) x)) |
(/.f64 #s(approx (* (+ x y) z) (*.f64 y z)) (-.f64 z y)) |
| Outputs |
|---|
#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)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
1 calls:
| 5.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 3 | z |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (/.f64 (*.f64 y y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 (/.f64 y z) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (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 z #s(approx (- z y) (neg.f64 y))) x)) |
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
#s(approx (/ (* (+ x y) z) (- z y)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
| Outputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) y)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
4 calls:
| 44.0ms | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 7.0ms | z |
| 4.0ms | y |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.1% | 5 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 61.0% | 3 | x |
| 71.5% | 4 | y |
| 68.1% | 3 | z |
Compiled 12 to 17 computations (-41.7% saved)
| Inputs |
|---|
#s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (*.f64 (/.f64 y z) y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (/.f64 (*.f64 y y) z))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (+ (+ (* (/ y z) (+ y x)) y) x) (fma.f64 (/.f64 y z) y y))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 x z) y x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (fma.f64 (/.f64 y z) x x))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) #s(approx (/ x (/ (- z y) z)) (*.f64 (neg.f64 x) (/.f64 z y)))) |
#s(approx (/ (+ x y) (- 1 (/ y z))) (*.f64 #s(approx (- -1 (/ x y)) (/.f64 (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 z #s(approx (- z y) (neg.f64 y))) x)) |
| 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)) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.2% | 3 | y |
Compiled 1 to 3 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 | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.1% | 1 | x |
| 35.1% | 1 | (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) |
| 35.1% | 1 | z |
| 35.1% | 1 | y |
Compiled 12 to 17 computations (-41.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.0817756053843285e-304 |
| 0.0ms | -3.819211858512182e-263 | -3.21302321373396e-268 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.0817756053843285e-304 |
| 0.0ms | -3.819211858512182e-263 | -3.21302321373396e-268 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 518696374.72784346 | 1158076595283281.8 |
| 12.0ms | -3.016667022150157e+28 | -6.04797456086292e+20 |
| 14.0ms | 288× | 0 | valid |
Compiled 273 to 302 computations (-10.6% saved)
ival-div: 4.0ms (57% of total)ival-add: 2.0ms (28.5% of total)ival-sub: 1.0ms (14.3% 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 |
|---|---|---|
| 16.0ms | 0.00019372016033445481 | 1294.0509630271301 |
| 1.0ms | -3.016667022150157e+28 | -6.04797456086292e+20 |
| 11.0ms | 144× | 0 | valid |
Compiled 228 to 284 computations (-24.6% saved)
ival-div: 2.0ms (55.5% of total)ival-sub: 1.0ms (27.8% of total)ival-add: 1.0ms (27.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 2.752652181776057e+181 | 1.5477157401298907e+184 |
| 16.0ms | 1.1947652894629013e-19 | 7.621255713994804e-13 |
| 7.0ms | -5.23637620637936e+101 | -2.5995826421255924e+101 |
| 20.0ms | 352× | 0 | valid |
Compiled 243 to 312 computations (-28.4% saved)
ival-div: 5.0ms (56.6% of total)ival-sub: 2.0ms (22.6% of total)ival-add: 2.0ms (22.6% 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 |
|---|---|---|
| 7.0ms | 1.2586960768078394e+109 | 4.257634650263357e+109 |
| 0.0ms | -5.23637620637936e+101 | -2.5995826421255924e+101 |
| 4.0ms | 80× | 0 | valid |
Compiled 82 to 134 computations (-63.4% saved)
ival-div: 1.0ms (51.7% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 348 |
| 1 | 79 | 348 |
| 2 | 95 | 348 |
| 3 | 104 | 348 |
| 4 | 109 | 348 |
| 5 | 110 | 348 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1418129833677085/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 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 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 -1418129833677085/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 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 z #s(literal -440000000000000014092861440 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 1200000000 binary64)) #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 (fma.f64 (/.f64 x z) y x))))) |
(if (<=.f64 z #s(literal -440000000000000014092861440 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 662929865148937/288230376151711744 binary64)) #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)))) |
(if (<=.f64 y #s(literal -469999999999999970563649869298309134543181772858568999113992453223497518507572124819051670436308844544 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 1166238552209971/10141204801825835211973625643008 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 y #s(literal 175000000000000011292959777266719229394868816718006047097212926207287666318785501473475142488405402477879419880566572315336340891411505838612483566814884825966401414631086686405132288 binary64)) #s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))))) |
(if (<=.f64 y #s(literal -469999999999999970563649869298309134543181772858568999113992453223497518507572124819051670436308844544 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 12999999999999999138283867414965624522466430774265651547334827346693178125271723246001609164414042839602692096 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 -1418129833677085/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 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 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(if (<=.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1418129833677085/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 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 y x) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) |
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -1418129833677085/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 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 -1418129833677085/70906491683854249133971333415503528601229677279443476631916611638829262598057001759775558209235971002092300595769547131083230268742795262708226708464736682213924924871800416657575912944521796077262840069882938251784694133132833485038618990914757637167551284096438594475925700608 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 z #s(literal -440000000000000014092861440 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 1200000000 binary64)) #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 (fma.f64 (/.f64 x z) y x))))) |
(if (<=.f64 z #s(literal -440000000000000014092861440 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 1200000000 binary64)) #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 (fma.f64 (/.f64 x z) y x) y)))) |
(if (<=.f64 z #s(literal -440000000000000014092861440 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 z #s(literal 662929865148937/288230376151711744 binary64)) #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)))) |
(if (<=.f64 y #s(literal -469999999999999970563649869298309134543181772858568999113992453223497518507572124819051670436308844544 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 1166238552209971/10141204801825835211973625643008 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (+.f64 y x)) (if (<=.f64 y #s(literal 175000000000000011292959777266719229394868816718006047097212926207287666318785501473475142488405402477879419880566572315336340891411505838612483566814884825966401414631086686405132288 binary64)) #s(approx (* (/ z (- z y)) (+ x y)) (*.f64 (/.f64 z (-.f64 z y)) y)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z))))) |
(if (<=.f64 y #s(literal -469999999999999970563649869298309134543181772858568999113992453223497518507572124819051670436308844544 binary64)) #s(approx (/ (+ x y) (- 1 (/ y z))) (neg.f64 z)) (if (<=.f64 y #s(literal 12999999999999999138283867414965624522466430774265651547334827346693178125271723246001609164414042839602692096 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 | 181 | 958 |
| 1 | 589 | 915 |
| 2 | 1844 | 852 |
| 3 | 7144 | 833 |
| 0 | 8245 | 790 |
| 0 | 30 | 162 |
| 0 | 47 | 162 |
| 1 | 224 | 152 |
| 2 | 2137 | 152 |
| 0 | 8330 | 152 |
| 0 | 8 | 20 |
| 0 | 12 | 20 |
| 1 | 56 | 20 |
| 2 | 432 | 20 |
| 3 | 7705 | 20 |
| 0 | 8025 | 20 |
| 0 | 408 | 5999 |
| 1 | 1308 | 5627 |
| 2 | 3851 | 5052 |
| 0 | 8441 | 4806 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 448 to 220 computations (50.9% saved)
Compiled 492 to 164 computations (66.7% saved)
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