
Time bar (total: 6.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 6 |
| 66.7% | 49.9% | 25% | 0.1% | 0% | 25% | 0% | 7 |
| 66.7% | 49.9% | 25% | 0.1% | 0% | 25% | 0% | 8 |
| 66.7% | 49.9% | 25% | 0.1% | 0% | 25% | 0% | 9 |
| 80% | 49.9% | 12.5% | 0.1% | 0% | 37.4% | 0% | 10 |
| 80% | 49.9% | 12.5% | 0.1% | 0% | 37.4% | 0% | 11 |
| 80% | 49.9% | 12.5% | 0.1% | 0% | 37.4% | 0% | 12 |
Compiled 12 to 12 computations (0% saved)
| 826.0ms | 8 256× | 0 | valid |
| 172.0ms | 2 129× | 0 | invalid |
ival-mult: 294.0ms (51.2% of total)ival-sqrt: 108.0ms (18.8% of total)ival-div: 79.0ms (13.8% of total)ival-add: 69.0ms (12% of total)exact: 10.0ms (1.7% of total)ival-true: 9.0ms (1.6% of total)ival-assert: 5.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (sqrt.f64 z) |
| 0 | 0 | - | 0 | - | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y (sqrt.f64 z)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 73.0ms | 512× | 0 | valid |
Compiled 104 to 44 computations (57.7% saved)
ival-sqrt: 43.0ms (76.4% of total)ival-mult: 6.0ms (10.7% of total)ival-div: 3.0ms (5.3% of total)ival-add: 2.0ms (3.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 78 |
| 1 | 112 | 74 |
| 2 | 311 | 74 |
| 3 | 600 | 74 |
| 4 | 932 | 74 |
| 5 | 1348 | 74 |
| 6 | 1744 | 74 |
| 7 | 2055 | 74 |
| 8 | 2168 | 74 |
| 9 | 2252 | 74 |
| 10 | 2288 | 74 |
| 11 | 2292 | 74 |
| 12 | 2292 | 74 |
| 0 | 10 | 8 |
| 0 | 16 | 8 |
| 1 | 27 | 8 |
| 2 | 37 | 8 |
| 3 | 39 | 8 |
| 0 | 39 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
Compiled 10 to 10 computations (0% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
Compiled 10 to 10 computations (0% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y (sqrt.f64 z)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) | |
| cost-diff | 128 | (+.f64 x (*.f64 y (sqrt.f64 z))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 0 | 16 | 26 |
| 1 | 27 | 26 |
| 2 | 37 | 26 |
| 3 | 39 | 26 |
| 0 | 39 | 24 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
x |
(*.f64 y (sqrt.f64 z)) |
y |
(sqrt.f64 z) |
z |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(fma.f64 (sqrt.f64 z) y x) |
x |
(*.f64 y (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) y) |
y |
(sqrt.f64 z) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) | |
| accuracy | 0 | (sqrt.f64 z) | |
| accuracy | 0.00390625 | (+.f64 x (*.f64 y (sqrt.f64 z))) | |
| accuracy | 0.19921875 | (*.f64 y (sqrt.f64 z)) |
| 17.0ms | 256× | 0 | valid |
Compiled 62 to 22 computations (64.5% saved)
ival-mult: 3.0ms (35.3% of total)ival-div: 2.0ms (23.5% of total)ival-sqrt: 2.0ms (23.5% of total)ival-add: 1.0ms (11.8% 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 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt z) (taylor 0 z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (sqrt z) (taylor 0 z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (sqrt z) (taylor 0 z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (sqrt z) (taylor 0 z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor inf z) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (taylor inf z) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (taylor inf z) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* y (sqrt (/ 1 z))) (/ x z))) (taylor inf z) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* y (sqrt z))) (taylor inf z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (taylor inf z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (taylor inf z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) (taylor inf z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor inf z) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor inf z) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor inf z) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor inf z) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt z) (taylor inf z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (sqrt z) (taylor inf z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (sqrt z) (taylor inf z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (sqrt z) (taylor inf z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) (taylor -inf z) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) (taylor -inf z) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) (taylor -inf z) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) (taylor -inf z) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) (taylor -inf z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) (taylor -inf z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) (taylor -inf z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) (taylor -inf z) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) (taylor -inf z) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) (taylor -inf z) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) (taylor -inf z) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) (taylor -inf z) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt z) (pow (sqrt -1) 2))) (taylor -inf z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt z) (pow (sqrt -1) 2))) (taylor -inf z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt z) (pow (sqrt -1) 2))) (taylor -inf z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt z) (pow (sqrt -1) 2))) (taylor -inf z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 y) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 y) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 y) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 y) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 y) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (sqrt z) (/ x y))) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (sqrt z) (/ x y))) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (sqrt z) (/ x y))) (taylor inf y) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* y (sqrt z))) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor inf y) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor inf y) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor inf y) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor inf y) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* y (sqrt z))) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor -inf y) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor -inf y) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor -inf y) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor -inf y) (#s(alt (*.f64 y (sqrt.f64 z)) (patch (*.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 x) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* y (sqrt z))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (/ y x) (sqrt z)))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (/ y x) (sqrt z)))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* (/ y x) (sqrt z)))) (taylor inf x) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (sqrt.f64 z))) (patch (+.f64 x (*.f64 y (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | -inf | ((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z)) |
| 1.0ms | y | @ | -inf | ((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z)) |
| 1.0ms | z | @ | 0 | ((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z)) |
| 1.0ms | z | @ | inf | ((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z)) |
| 1.0ms | y | @ | inf | ((/ 1 2) (+ x (* y (sqrt z))) (* (/ 1 2) (+ x (* y (sqrt z)))) (* y (sqrt z)) (sqrt z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 646 |
| 1 | 251 | 646 |
| 2 | 797 | 646 |
| 3 | 2298 | 622 |
| 4 | 5069 | 622 |
| 5 | 7549 | 622 |
| 0 | 8141 | 566 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(* y (sqrt z)) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* 1/2 (* y (sqrt z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
x |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* 1/2 x) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt z) (/ x y))) |
(* 1/2 (* y (sqrt z))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* 1/2 (* y (sqrt z))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
x |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
| Outputs |
|---|
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* 1/2 (* y (sqrt z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 (sqrt.f64 z) y) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 (sqrt.f64 z) y) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 (sqrt.f64 z) y) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 (sqrt.f64 z) y) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 (sqrt.f64 z) y) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
x |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (+ (sqrt z) (/ x y))) |
(fma.f64 (sqrt.f64 z) y x) |
(* y (+ (sqrt z) (/ x y))) |
(fma.f64 (sqrt.f64 z) y x) |
(* y (+ (sqrt z) (/ x y))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 (* y (sqrt z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 (* y (sqrt z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 (* y (sqrt z))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y)) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (sqrt.f64 z) y x) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (sqrt.f64 z) y x) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
x |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 0 | 16 | 21 |
| 1 | 41 | 21 |
| 2 | 234 | 21 |
| 3 | 2001 | 21 |
| 0 | 8162 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(+.f64 x (*.f64 y (sqrt.f64 z))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
(*.f64 y (sqrt.f64 z)) |
(sqrt.f64 z) |
| Outputs |
|---|
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Compiled 9 397 to 942 computations (90% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 367 | 10 | 377 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 368 | 10 | 378 |
| Status | Accuracy | Program |
|---|---|---|
| 99.6% | (fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))) | |
| 46.2% | (/.f64 (*.f64 (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x)) | |
| ▶ | 38.7% | (/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
| 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))) | |
| ▶ | 99.9% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| 87.6% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))) (neg.f64 (*.f64 (*.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y))))))) | |
| ▶ | 99.6% | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))) |
| ▶ | 93.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
| 49.3% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) | |
| ▶ | 51.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 266 to 212 computations (20.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))) | |
| cost-diff | 128 | (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 2240 | (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (sqrt.f64 z) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 z) y x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 203 |
| 0 | 62 | 179 |
| 1 | 111 | 179 |
| 2 | 187 | 179 |
| 3 | 336 | 179 |
| 4 | 630 | 179 |
| 5 | 1065 | 179 |
| 6 | 1954 | 179 |
| 7 | 4694 | 179 |
| 8 | 6040 | 179 |
| 9 | 6345 | 179 |
| 10 | 6643 | 179 |
| 11 | 6974 | 179 |
| 12 | 6994 | 179 |
| 13 | 7932 | 179 |
| 0 | 8145 | 179 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(*.f64 z y) |
z |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) |
(fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) |
(neg.f64 z) |
z |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
(-.f64 x (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))) |
x |
(*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))) |
y |
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) |
(sqrt.f64 (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) |
(fma.f64 (sqrt.f64 z) y x) |
(fma.f64 y (sqrt.f64 z) x) |
(sqrt.f64 z) |
z |
y |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 y z) x) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 y (sqrt.f64 z)))) (fma.f64 (*.f64 (neg.f64 y) y) z (*.f64 x x))) |
(*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 x) x (*.f64 (*.f64 y y) z))) |
(fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) |
(fma.f64 (*.f64 (neg.f64 y) y) z (*.f64 x x)) |
(neg.f64 z) |
z |
(*.f64 y y) |
y |
(*.f64 x x) |
x |
#s(literal 1/2 binary64) |
(-.f64 x (*.f64 (sqrt.f64 z) y)) |
(-.f64 x (*.f64 y (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
(sqrt.f64 z) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (sqrt.f64 z) x)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))) |
(fma.f64 y (sqrt.f64 z) x) |
x |
(*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))) |
(*.f64 y (sqrt.f64 z)) |
y |
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) |
(sqrt.f64 z) |
(sqrt.f64 (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))) | |
| accuracy | 0.1484375 | (sqrt.f64 (sqrt.f64 z)) | |
| accuracy | 0.19921875 | (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))) | |
| accuracy | 0.4912300293053261 | (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) | |
| accuracy | 0.19921875 | (*.f64 (sqrt.f64 z) y) | |
| accuracy | 0.2089486125993 | (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) | |
| accuracy | 10.615156354235214 | (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) | |
| accuracy | 33.66454661504442 | (/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) | |
| accuracy | 0.13671875 | (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 3.9661309417996202 | (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 30.794266345110078 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0 | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (sqrt.f64 z) | |
| accuracy | 0.09375 | (fma.f64 (sqrt.f64 z) y x) |
| 137.0ms | 256× | 0 | valid |
Compiled 395 to 67 computations (83% saved)
ival-mult: 63.0ms (76.9% of total)ival-add: 6.0ms (7.3% of total)ival-div: 5.0ms (6.1% of total)ival-sqrt: 5.0ms (6.1% of total)ival-sub: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% 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 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sqrt.f64 z) y x) (patch (fma.f64 (sqrt.f64 z) y x) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) (patch #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) (patch (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) (patch (/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) (patch (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) (patch (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))) (patch (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))) (patch (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 z) y) (patch (*.f64 (sqrt.f64 z) y) #<representation binary64>) () ()) |
#s(alt (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))) (patch (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (sqrt.f64 z)) (patch (sqrt.f64 (sqrt.f64 z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (sqrt.f64 z) y x) (patch (fma.f64 (sqrt.f64 z) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (sqrt.f64 z) y x) (patch (fma.f64 (sqrt.f64 z) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (sqrt.f64 z) y x) (patch (fma.f64 (sqrt.f64 z) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (sqrt.f64 z) y x) (patch (fma.f64 (sqrt.f64 z) y x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt z) (taylor 0 z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (sqrt z) (taylor 0 z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (sqrt z) (taylor 0 z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (sqrt z) (taylor 0 z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) (patch #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) (patch #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) (patch #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) (patch #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) (patch (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) (patch (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) (patch (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) (patch (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (pow x 2) (- x (* y (sqrt z))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) (patch (/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) (patch (/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) (patch (/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))) (taylor 0 z) (#s(alt (/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) (patch (/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) (patch (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) (patch (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) (patch (/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) (patch (/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) (patch (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) (patch (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) (patch (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) (patch (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))) (patch (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 59.0ms | z | @ | 0 | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (neg z) (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (sqrt (/ 1 z)) (* (sqrt z) y) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z))) |
| 28.0ms | z | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (neg z) (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (sqrt (/ 1 z)) (* (sqrt z) y) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z))) |
| 10.0ms | z | @ | inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (neg z) (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (sqrt (/ 1 z)) (* (sqrt z) y) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z))) |
| 9.0ms | y | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (neg z) (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (sqrt (/ 1 z)) (* (sqrt z) y) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z))) |
| 2.0ms | y | @ | inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (sqrt z) (* (/ 1 2) (+ x (* y (sqrt z)))) (* 1/2 x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (sqrt (/ 1 z))) x) 1/2) (+ (* (* z y) (sqrt (/ 1 z))) x) (* z y) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (neg z) (* (sqrt (sqrt z)) (sqrt (sqrt z))) (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z))))) (* (/ 1 2) (+ x (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))))) (sqrt (/ 1 z)) (* (sqrt z) y) (* y (* (sqrt (sqrt z)) (sqrt (sqrt z)))) (sqrt (sqrt z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 4063 |
| 1 | 649 | 3927 |
| 2 | 2536 | 3786 |
| 3 | 6066 | 3785 |
| 0 | 8411 | 3503 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 1/2 (/ (pow x 2) (- x (* y (sqrt z))))) |
(+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))) |
(+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))) |
(+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))) |
(* 1/2 (pow x 2)) |
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2))) |
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2))) |
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2))) |
(pow x 2) |
(+ (* -1 (* (pow y 2) z)) (pow x 2)) |
(+ (* -1 (* (pow y 2) z)) (pow x 2)) |
(+ (* -1 (* (pow y 2) z)) (pow x 2)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(pow (* 1 z) 1/4) |
(pow (* 1 z) 1/4) |
(pow (* 1 z) 1/4) |
(pow (* 1 z) 1/4) |
(* 1/2 (* y (sqrt z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* y (sqrt z)) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(* 1/2 (* y (sqrt z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* 1/2 (* y (sqrt z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* 1/2 (* y (sqrt z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* y (sqrt z)) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))) |
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))) |
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))) |
(* -1/2 (* (pow y 2) z)) |
(* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z)))) |
(* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z)))) |
(* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z)))) |
(* -1 (* (pow y 2) z)) |
(* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))) |
(* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))) |
(* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(* y (sqrt z)) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* 1/2 (* y (sqrt z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(pow (* 1 z) 1/4) |
(pow (* 1 z) 1/4) |
(pow (* 1 z) 1/4) |
(pow (* 1 z) 1/4) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z))))) |
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z))))) |
(* -1 (* z (+ (* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1/2 (/ x z))))) |
(* (* y (pow (sqrt -1) 2)) (sqrt z)) |
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z))))) |
(* -1 (* z (+ (* -1 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))) (* -1 (/ x z))))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -1/2 (* y (sqrt z))) |
(+ (* -1/2 (* y (sqrt z))) (* -1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))) z))) |
(+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt (/ 1 z)))) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) y) (sqrt z))) (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2))))) (* (pow y 2) (pow (sqrt -1) 2))))) z)) (* 1/2 (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (/ (* x z) (pow (sqrt -1) 2)))))) z)) (* -1/2 (* y (sqrt z)))) |
(* -1/2 (* (pow y 2) z)) |
(* -1 (* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2))))) |
(* -1 (* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2))))) |
(* -1 (* z (+ (* -1/2 (/ (pow x 2) z)) (* 1/2 (pow y 2))))) |
(* -1 (* (pow y 2) z)) |
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))) |
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))) |
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (pow y 2)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* (pow (* -1 z) 1/4) (sqrt (sqrt -1))) |
(* (pow (* -1 z) 1/4) (sqrt (sqrt -1))) |
(* (pow (* -1 z) 1/4) (sqrt (sqrt -1))) |
(* (pow (* -1 z) 1/4) (sqrt (sqrt -1))) |
(* 1/2 x) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
x |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* 1/2 x) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* 1/2 x) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* 1/2 x) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
x |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 1/2 x) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* 1/2 (pow x 2)) |
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2))) |
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2))) |
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2))) |
(pow x 2) |
(+ (* -1 (* (pow y 2) z)) (pow x 2)) |
(+ (* -1 (* (pow y 2) z)) (pow x 2)) |
(+ (* -1 (* (pow y 2) z)) (pow x 2)) |
x |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* 1/2 x) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* 1/2 (* y (sqrt z))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (sqrt z)) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt z) (/ x y))) |
(* 1/2 (* y (sqrt z))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* 1/2 (* y (sqrt z))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* 1/2 (* y (sqrt z))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (sqrt z)) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt z) (/ x y))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 1/2 (* y (sqrt z))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 z) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 z) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* -1 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1 z) (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ (* -1 z) (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ (* -1 z) (/ (pow x 2) (pow y 2)))) |
(* y (sqrt z)) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt z) (/ x y))) |
(* 1/2 (* y (sqrt z))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* 1/2 (* y (sqrt z))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* y (sqrt z)) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* 1/2 (* y (sqrt z))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* 1/2 (* y (sqrt z))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* 1/2 (* y (sqrt z))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* y (sqrt z)) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 1/2 (* y (sqrt z))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1/2 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1/2 z) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 z) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* (pow y 2) (+ (* -1/2 z) (* 1/2 (/ (pow x 2) (pow y 2))))) |
(* -1 (* (pow y 2) z)) |
(* (pow y 2) (+ (* -1 z) (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ (* -1 z) (/ (pow x 2) (pow y 2)))) |
(* (pow y 2) (+ (* -1 z) (/ (pow x 2) (pow y 2)))) |
(* y (sqrt z)) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* 1/2 (* y (sqrt z))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* -1/2 (* (pow y 2) z)) |
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2))) |
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2))) |
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2))) |
(* -1 (* (pow y 2) z)) |
(+ (* -1 (* (pow y 2) z)) (pow x 2)) |
(+ (* -1 (* (pow y 2) z)) (pow x 2)) |
(+ (* -1 (* (pow y 2) z)) (pow x 2)) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2))))) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2))))) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
x |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
x |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2))))) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2))))) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) |
x |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
| Outputs |
|---|
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* 1/2 (/ (pow x 2) (- x (* y (sqrt z))))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))) |
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(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 164 |
| 0 | 62 | 121 |
| 1 | 204 | 119 |
| 2 | 1126 | 116 |
| 0 | 8871 | 116 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt.f64 z) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(*.f64 z y) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) |
(fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) |
(neg.f64 z) |
(*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))) |
(sqrt.f64 (sqrt.f64 z)) |
| Outputs |
|---|
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Compiled 54 541 to 3 834 computations (93% saved)
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 258 | 7 | 2 265 |
| Fresh | 5 | 0 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 266 | 9 | 2 275 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 21.5% | (/.f64 (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
| 93.8% | (*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x) #s(literal 1/2 binary64)) | |
| ▶ | 99.7% | (*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) |
| ▶ | 90.5% | (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) |
| ✓ | 99.9% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ▶ | 49.3% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
| 87.6% | #s(approx (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))))) | |
| ▶ | 93.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) |
| ✓ | 51.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 191 to 159 computations (16.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 y) z) y) | |
| cost-diff | 0 | #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) | |
| cost-diff | 320 | (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) | |
| cost-diff | 0 | (sqrt.f64 z) | |
| cost-diff | 0 | (/.f64 y (sqrt.f64 z)) | |
| cost-diff | 0 | (fma.f64 (/.f64 y (sqrt.f64 z)) z x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 z) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 z) y) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 z) | |
| cost-diff | 0 | (/.f64 z (sqrt.f64 z)) | |
| cost-diff | 0 | (fma.f64 (/.f64 z (sqrt.f64 z)) y x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 229 |
| 0 | 63 | 225 |
| 1 | 118 | 220 |
| 2 | 199 | 220 |
| 3 | 319 | 220 |
| 4 | 457 | 220 |
| 5 | 533 | 220 |
| 6 | 768 | 220 |
| 7 | 913 | 220 |
| 8 | 1130 | 220 |
| 9 | 1469 | 220 |
| 10 | 1996 | 220 |
| 11 | 2465 | 220 |
| 12 | 2561 | 220 |
| 13 | 2585 | 220 |
| 14 | 2598 | 220 |
| 15 | 2598 | 220 |
| 16 | 2598 | 220 |
| 17 | 2638 | 220 |
| 18 | 2872 | 220 |
| 0 | 2872 | 217 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 z (sqrt.f64 z)) y x) |
(/.f64 z (sqrt.f64 z)) |
z |
(sqrt.f64 z) |
y |
x |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
z |
y |
#s(literal 1/2 binary64) |
(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 y (sqrt.f64 z)) z x) |
(/.f64 y (sqrt.f64 z)) |
y |
(sqrt.f64 z) |
z |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) |
(*.f64 z y) |
z |
y |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(sqrt.f64 z) |
x |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) |
(*.f64 (*.f64 (neg.f64 y) z) y) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
#s(literal 1/2 binary64) |
(-.f64 x (*.f64 (sqrt.f64 z) y)) |
x |
(*.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
| Outputs |
|---|
(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 z (sqrt.f64 z)) x)) |
(fma.f64 (/.f64 z (sqrt.f64 z)) y x) |
(fma.f64 y (/.f64 z (sqrt.f64 z)) x) |
(/.f64 z (sqrt.f64 z)) |
z |
(sqrt.f64 z) |
y |
x |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 y (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
y |
#s(literal 1/2 binary64) |
(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 z (sqrt.f64 z)) x)) |
(fma.f64 (/.f64 y (sqrt.f64 z)) z x) |
(fma.f64 y (/.f64 z (sqrt.f64 z)) x) |
(/.f64 y (sqrt.f64 z)) |
y |
(sqrt.f64 z) |
z |
x |
#s(literal 1/2 binary64) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 z (sqrt.f64 z)) x))) |
(*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 y (/.f64 z (sqrt.f64 z)) x)) |
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) |
(fma.f64 y (/.f64 z (sqrt.f64 z)) x) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
#s(literal 1 binary64) |
(sqrt.f64 z) |
x |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 y) (sqrt.f64 z) x)) #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y))) |
(*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) |
(*.f64 (*.f64 (neg.f64 y) z) y) |
(*.f64 (neg.f64 y) z) |
(neg.f64 y) |
y |
z |
#s(literal 1/2 binary64) |
(-.f64 x (*.f64 (sqrt.f64 z) y)) |
(fma.f64 (neg.f64 y) (sqrt.f64 z) x) |
x |
(*.f64 (sqrt.f64 z) y) |
(*.f64 y (sqrt.f64 z)) |
(sqrt.f64 z) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.19921875 | (*.f64 (sqrt.f64 z) y) | |
| accuracy | 0.2089486125993 | (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) | |
| accuracy | 29.82234604070481 | #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) | |
| accuracy | 33.66454661504442 | (/.f64 (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) | |
| accuracy | 0 | (sqrt.f64 z) | |
| accuracy | 0 | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) | |
| accuracy | 0.234375 | (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) | |
| accuracy | 3.9661309417996202 | (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) | |
| accuracy | 0 | (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (sqrt.f64 z) | |
| accuracy | 0.1796875 | (/.f64 y (sqrt.f64 z)) | |
| accuracy | 6.034514640766774 | (fma.f64 (/.f64 y (sqrt.f64 z)) z x) | |
| accuracy | 0 | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (sqrt.f64 z) | |
| accuracy | 0.19921875 | (*.f64 (sqrt.f64 z) y) | |
| accuracy | 32.33177760235102 | #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) | |
| accuracy | 0 | (*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) | |
| accuracy | 0 | (sqrt.f64 z) | |
| accuracy | 0.09375 | (fma.f64 (/.f64 z (sqrt.f64 z)) y x) | |
| accuracy | 0.47265625 | (/.f64 z (sqrt.f64 z)) |
| 74.0ms | 256× | 0 | valid |
Compiled 375 to 67 computations (82.1% saved)
ival-mult: 27.0ms (51.2% of total)ival-add: 12.0ms (22.8% of total)ival-div: 8.0ms (15.2% of total)ival-sqrt: 2.0ms (3.8% of total)ival-neg: 2.0ms (3.8% of total)ival-sub: 1.0ms (1.9% 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 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 z (sqrt.f64 z)) y x) (patch (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #<representation binary64>) () ()) |
#s(alt (/.f64 z (sqrt.f64 z)) (patch (/.f64 z (sqrt.f64 z)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) (patch #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 z) y) (patch (*.f64 (sqrt.f64 z) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 y (sqrt.f64 z)) z x) (patch (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #<representation binary64>) () ()) |
#s(alt (/.f64 y (sqrt.f64 z)) (patch (/.f64 y (sqrt.f64 z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (patch (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) (patch #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) (patch (/.f64 (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) (patch #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 y) z) y) (patch (*.f64 (*.f64 (neg.f64 y) z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z (sqrt.f64 z)) y x) (patch (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z (sqrt.f64 z)) y x) (patch (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z (sqrt.f64 z)) y x) (patch (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 z (sqrt.f64 z)) y x) (patch (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #<representation binary64>) () ())) ()) |
#s(alt (sqrt z) (taylor 0 z) (#s(alt (/.f64 z (sqrt.f64 z)) (patch (/.f64 z (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt z) (taylor 0 z) (#s(alt (/.f64 z (sqrt.f64 z)) (patch (/.f64 z (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt z) (taylor 0 z) (#s(alt (/.f64 z (sqrt.f64 z)) (patch (/.f64 z (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt z) (taylor 0 z) (#s(alt (/.f64 z (sqrt.f64 z)) (patch (/.f64 z (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt z) (taylor 0 z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (sqrt z) (taylor 0 z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (sqrt z) (taylor 0 z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (sqrt z) (taylor 0 z) (#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) (patch #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) (patch #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) (patch #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) (patch #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (*.f64 (sqrt.f64 z) y) (patch (*.f64 (sqrt.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (*.f64 (sqrt.f64 z) y) (patch (*.f64 (sqrt.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (*.f64 (sqrt.f64 z) y) (patch (*.f64 (sqrt.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (*.f64 (sqrt.f64 z) y) (patch (*.f64 (sqrt.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y (sqrt.f64 z)) z x) (patch (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y (sqrt.f64 z)) z x) (patch (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y (sqrt.f64 z)) z x) (patch (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (/.f64 y (sqrt.f64 z)) z x) (patch (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt (/ 1 z))) (taylor 0 z) (#s(alt (/.f64 y (sqrt.f64 z)) (patch (/.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt (/ 1 z))) (taylor 0 z) (#s(alt (/.f64 y (sqrt.f64 z)) (patch (/.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt (/ 1 z))) (taylor 0 z) (#s(alt (/.f64 y (sqrt.f64 z)) (patch (/.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt (/ 1 z))) (taylor 0 z) (#s(alt (/.f64 y (sqrt.f64 z)) (patch (/.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (patch (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (patch (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (patch (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (patch (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) (patch #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) (patch #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) (patch #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) (patch #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) (patch #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (/.f64 y (sqrt.f64 z)) z x) (patch (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y (sqrt.f64 z)) z x) (patch (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y (sqrt.f64 z)) z x) (patch (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 y (sqrt.f64 z)) z x) (patch (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (patch (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (patch (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (patch (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) (patch (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) (patch #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) (patch #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) (patch #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) (patch #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)) (patch (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) (patch (/.f64 (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) (patch (/.f64 (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) (patch (/.f64 (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) (patch (/.f64 (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) (patch #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) (patch #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) (patch #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) (patch #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | z | @ | inf | ((* (+ (* (/ z (sqrt z)) y) x) 1/2) (+ (* (/ z (sqrt z)) y) x) (/ z (sqrt z)) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (* (* (neg y) z) y) (/ 1 (sqrt z))) |
| 4.0ms | z | @ | -inf | ((* (+ (* (/ z (sqrt z)) y) x) 1/2) (+ (* (/ z (sqrt z)) y) x) (/ z (sqrt z)) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (* (* (neg y) z) y) (/ 1 (sqrt z))) |
| 2.0ms | y | @ | -inf | ((* (+ (* (/ z (sqrt z)) y) x) 1/2) (+ (* (/ z (sqrt z)) y) x) (/ z (sqrt z)) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (* (* (neg y) z) y) (/ 1 (sqrt z))) |
| 2.0ms | z | @ | 0 | ((* (+ (* (/ z (sqrt z)) y) x) 1/2) (+ (* (/ z (sqrt z)) y) x) (/ z (sqrt z)) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (* (* (neg y) z) y) (/ 1 (sqrt z))) |
| 2.0ms | y | @ | 0 | ((* (+ (* (/ z (sqrt z)) y) x) 1/2) (+ (* (/ z (sqrt z)) y) x) (/ z (sqrt z)) (sqrt z) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (sqrt z) y) (* (+ (* (/ y (sqrt z)) z) x) 1/2) (+ (* (/ y (sqrt z)) z) x) (/ y (sqrt z)) (+ (* (* z y) (/ 1 (sqrt z))) x) (* (/ 1 2) (+ x (* y (sqrt z)))) (* (+ (* (* z y) (/ 1 (sqrt z))) x) 1/2) (* z y) (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (+ (* (neg z) (* y y)) (* x x)) (* (* (neg y) z) y) (/ 1 (sqrt z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 4349 |
| 1 | 635 | 4266 |
| 2 | 2149 | 4132 |
| 3 | 6471 | 4101 |
| 0 | 9093 | 3780 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 1/2 (/ (pow x 2) (- x (* y (sqrt z))))) |
(+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))) |
(+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))) |
(+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))) |
(* 1/2 (pow x 2)) |
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2))) |
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2))) |
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2))) |
(pow x 2) |
(+ (* -1 (* (pow y 2) z)) (pow x 2)) |
(+ (* -1 (* (pow y 2) z)) (pow x 2)) |
(+ (* -1 (* (pow y 2) z)) (pow x 2)) |
(* -1 (* (pow y 2) z)) |
(* -1 (* (pow y 2) z)) |
(* -1 (* (pow y 2) z)) |
(* -1 (* (pow y 2) z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(* 1/2 (* y (sqrt z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* y (sqrt z)) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(* 1/2 (* y (sqrt z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* y (sqrt z)) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* 1/2 (* y (sqrt z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* y (sqrt z)) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt z)) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* 1/2 (* y (sqrt z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* 1/2 (* y (sqrt z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 1/2 (* y (sqrt z))) |
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(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2))))) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2))))) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) |
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) |
| Outputs |
|---|
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(* y (sqrt (/ 1 z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(* y (sqrt (/ 1 z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(* y (sqrt (/ 1 z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(* y (sqrt (/ 1 z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* 1/2 (/ (pow x 2) (- x (* y (sqrt z))))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))) |
(+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))) |
(+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))) |
(+ (* -1/2 (/ (* (pow y 2) z) (- x (* y (sqrt z))))) (* 1/2 (/ (pow x 2) (- x (* y (sqrt z)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))))) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(+ (* -1/2 (* (pow y 2) z)) (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(pow x 2) |
(*.f64 x x) |
(+ (* -1 (* (pow y 2) z)) (pow x 2)) |
(fma.f64 (*.f64 (neg.f64 y) z) y (*.f64 x x)) |
(+ (* -1 (* (pow y 2) z)) (pow x 2)) |
(fma.f64 (*.f64 (neg.f64 y) z) y (*.f64 x x)) |
(+ (* -1 (* (pow y 2) z)) (pow x 2)) |
(fma.f64 (*.f64 (neg.f64 y) z) y (*.f64 x x)) |
(* -1 (* (pow y 2) z)) |
(*.f64 (*.f64 (neg.f64 y) z) y) |
(* -1 (* (pow y 2) z)) |
(*.f64 (*.f64 (neg.f64 y) z) y) |
(* -1 (* (pow y 2) z)) |
(*.f64 (*.f64 (neg.f64 y) z) y) |
(* -1 (* (pow y 2) z)) |
(*.f64 (*.f64 (neg.f64 y) z) y) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(* 1/2 (* y (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(* 1/2 (* y (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* 1/2 (* y (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* y (sqrt (/ 1 z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(* y (sqrt (/ 1 z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(* y (sqrt (/ 1 z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(* y (sqrt (/ 1 z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* 1/2 (* y (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(* 1/2 (* y (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* 1/2 (* y (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* y (sqrt z))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))) |
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 z)) (/.f64 (/.f64 (*.f64 x x) y) z) (fma.f64 (sqrt.f64 z) y x)) #s(literal 1/2 binary64)) |
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z)))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) (*.f64 (neg.f64 x) x) (*.f64 z x)) (/.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 z)) (/.f64 (/.f64 (*.f64 x x) y) z) (fma.f64 (sqrt.f64 z) y x)))) |
(+ (* 1/2 (* y (sqrt z))) (+ (* 1/2 (* (/ (* x (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) y) (sqrt (/ 1 (pow z 3))))) (+ (* 1/2 (/ (* (pow x 2) (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z)))) (* (pow y 2) (pow z 2)))) (* 1/2 (/ (- (* -1 (* (/ (pow x 2) y) (sqrt z))) (* -1 (* x z))) z))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (/.f64 (fma.f64 (/.f64 (sqrt.f64 z) y) (*.f64 (neg.f64 x) x) (*.f64 z x)) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) (/.f64 x y)) (/.f64 (sqrt.f64 z) z) x) z) (*.f64 y y)))) (fma.f64 (neg.f64 (sqrt.f64 z)) (/.f64 (/.f64 (*.f64 x x) y) z) (fma.f64 (sqrt.f64 z) y x)))) |
(* -1/2 (* (pow y 2) z)) |
(*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)) |
(* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z)))) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z)))) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(* z (+ (* -1/2 (pow y 2)) (* 1/2 (/ (pow x 2) z)))) |
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(* -1 (* (pow y 2) z)) |
(*.f64 (*.f64 (neg.f64 y) z) y) |
(* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))) |
(fma.f64 (*.f64 (neg.f64 y) z) y (*.f64 x x)) |
(* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))) |
(fma.f64 (*.f64 (neg.f64 y) z) y (*.f64 x x)) |
(* z (+ (* -1 (pow y 2)) (/ (pow x 2) z))) |
(fma.f64 (*.f64 (neg.f64 y) z) y (*.f64 x x)) |
(* -1 (* (pow y 2) z)) |
(*.f64 (*.f64 (neg.f64 y) z) y) |
(* -1 (* (pow y 2) z)) |
(*.f64 (*.f64 (neg.f64 y) z) y) |
(* -1 (* (pow y 2) z)) |
(*.f64 (*.f64 (neg.f64 y) z) y) |
(* -1 (* (pow y 2) z)) |
(*.f64 (*.f64 (neg.f64 y) z) y) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(* 1/2 (* y (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(* -1 (* z (+ (* -1/2 (* y (sqrt (/ 1 z)))) (* -1/2 (/ x z))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x)) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z))))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z))))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* -1 (* z (+ (* -1 (* y (sqrt (/ 1 z)))) (* -1 (/ x z))))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(sqrt.f64 z) |
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(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) z) y) #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) z) y) #s(literal 1 binary64) (*.f64 x x)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
x |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
x |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
x |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
x |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (* -1/2 (/ (* (pow y 2) z) (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) z) y) #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) z) y) #s(literal 1 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (* (pow y 2) z) (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) z) y) #s(literal 1 binary64) (*.f64 x x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 185 |
| 0 | 63 | 177 |
| 1 | 223 | 173 |
| 2 | 1150 | 156 |
| 0 | 9412 | 156 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 z (sqrt.f64 z)) y x) |
(/.f64 z (sqrt.f64 z)) |
(sqrt.f64 z) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (sqrt.f64 z) y) |
(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 y (sqrt.f64 z)) z x) |
(/.f64 y (sqrt.f64 z)) |
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64)) |
(*.f64 z y) |
(/.f64 (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) |
(*.f64 (*.f64 (neg.f64 y) z) y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 z)) |
| Outputs |
|---|
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Compiled 30 332 to 2 484 computations (91.8% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 789 | 5 | 1 794 |
| Fresh | 2 | 0 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 793 | 10 | 1 803 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 21.5% | (/.f64 (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
| ✓ | 99.9% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ▶ | 43.6% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) |
| ▶ | 49.2% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) |
| ▶ | 42.6% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) |
| ▶ | 49.3% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) |
| ▶ | 42.0% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) |
| ✓ | 49.3% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
| ✓ | 93.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) |
| ✓ | 51.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 136 to 139 computations (-2.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) | |
| cost-diff | 1216 | (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 z) y) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) | |
| cost-diff | 384 | (/.f64 z (/.f64 (sqrt.f64 z) y)) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (/.f64 (*.f64 y z) (sqrt.f64 z)) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 y (sqrt.f64 z)) | |
| cost-diff | 0 | (*.f64 (/.f64 y (sqrt.f64 z)) z) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (pow.f64 z #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 215 |
| 0 | 48 | 215 |
| 1 | 67 | 215 |
| 2 | 84 | 212 |
| 3 | 118 | 206 |
| 4 | 161 | 206 |
| 5 | 444 | 206 |
| 6 | 976 | 206 |
| 7 | 1755 | 206 |
| 8 | 2057 | 206 |
| 9 | 2228 | 206 |
| 10 | 2337 | 206 |
| 11 | 2406 | 206 |
| 12 | 2554 | 206 |
| 13 | 2554 | 206 |
| 0 | 2554 | 196 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) |
(/.f64 y (pow.f64 z #s(literal -1/2 binary64))) |
y |
(pow.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
(*.f64 (/.f64 y (sqrt.f64 z)) z) |
(/.f64 y (sqrt.f64 z)) |
y |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) |
(/.f64 (*.f64 y z) (sqrt.f64 z)) |
(*.f64 y z) |
y |
z |
(sqrt.f64 z) |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) |
(/.f64 z (/.f64 (sqrt.f64 z) y)) |
z |
(/.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
y |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(neg.f64 y) |
y |
(/.f64 #s(literal -1 binary64) (sqrt.f64 z)) |
#s(literal -1 binary64) |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64))))) |
#s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) |
(/.f64 y (pow.f64 z #s(literal -1/2 binary64))) |
y |
(pow.f64 z #s(literal -1/2 binary64)) |
z |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
(*.f64 (/.f64 y (sqrt.f64 z)) z) |
(/.f64 y (sqrt.f64 z)) |
y |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
(/.f64 (*.f64 y z) (sqrt.f64 z)) |
(*.f64 (/.f64 y (sqrt.f64 z)) z) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(sqrt.f64 z) |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
(/.f64 z (/.f64 (sqrt.f64 z) y)) |
(*.f64 (/.f64 y (sqrt.f64 z)) z) |
z |
(/.f64 (sqrt.f64 z) y) |
(sqrt.f64 z) |
y |
#s(literal 1/2 binary64) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) y) |
(neg.f64 y) |
y |
(/.f64 #s(literal -1 binary64) (sqrt.f64 z)) |
#s(literal -1 binary64) |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.234375 | (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) | |
| accuracy | 0.2421875 | (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) | |
| accuracy | 32.33177760235102 | #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) | |
| accuracy | 0 | (sqrt.f64 z) | |
| accuracy | 0.26171875 | (/.f64 (sqrt.f64 z) y) | |
| accuracy | 7.545479225712871 | (/.f64 z (/.f64 (sqrt.f64 z) y)) | |
| accuracy | 32.33177760235102 | #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) | |
| accuracy | 0 | (*.f64 y z) | |
| accuracy | 0 | (sqrt.f64 z) | |
| accuracy | 8.631230618261146 | (/.f64 (*.f64 y z) (sqrt.f64 z)) | |
| accuracy | 32.33177760235102 | #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) | |
| accuracy | 0 | (sqrt.f64 z) | |
| accuracy | 0.1796875 | (/.f64 y (sqrt.f64 z)) | |
| accuracy | 7.806797391806421 | (*.f64 (/.f64 y (sqrt.f64 z)) z) | |
| accuracy | 32.33177760235102 | #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) | |
| accuracy | 0 | (pow.f64 z #s(literal -1/2 binary64)) | |
| accuracy | 0 | (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) | |
| accuracy | 0.2421875 | (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) | |
| accuracy | 32.33177760235102 | #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) |
| 58.0ms | 256× | 0 | valid |
Compiled 302 to 51 computations (83.1% saved)
ival-div: 11.0ms (39.2% of total)ival-mult: 6.0ms (21.4% of total)ival-pow: 6.0ms (21.4% of total)ival-sqrt: 2.0ms (7.1% of total)ival-add: 1.0ms (3.6% of total)ival-neg: 1.0ms (3.6% 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 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 z #s(literal -1/2 binary64)) (patch (pow.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) (patch #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y (sqrt.f64 z)) z) (patch (*.f64 (/.f64 y (sqrt.f64 z)) z) #<representation binary64>) () ()) |
#s(alt (/.f64 y (sqrt.f64 z)) (patch (/.f64 y (sqrt.f64 z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y z) (sqrt.f64 z)) (patch (/.f64 (*.f64 y z) (sqrt.f64 z)) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (/.f64 z (/.f64 (sqrt.f64 z) y)) (patch (/.f64 z (/.f64 (sqrt.f64 z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 z) y) (patch (/.f64 (sqrt.f64 z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (patch (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (patch (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) (patch (/.f64 y (pow.f64 z #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 z)) (taylor 0 z) (#s(alt (pow.f64 z #s(literal -1/2 binary64)) (patch (pow.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 z)) (taylor 0 z) (#s(alt (pow.f64 z #s(literal -1/2 binary64)) (patch (pow.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 z)) (taylor 0 z) (#s(alt (pow.f64 z #s(literal -1/2 binary64)) (patch (pow.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 z)) (taylor 0 z) (#s(alt (pow.f64 z #s(literal -1/2 binary64)) (patch (pow.f64 z #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) (patch #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) (patch #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) (patch #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) (patch #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (sqrt.f64 z)) z) (patch (*.f64 (/.f64 y (sqrt.f64 z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (sqrt.f64 z)) z) (patch (*.f64 (/.f64 y (sqrt.f64 z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (sqrt.f64 z)) z) (patch (*.f64 (/.f64 y (sqrt.f64 z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (*.f64 (/.f64 y (sqrt.f64 z)) z) (patch (*.f64 (/.f64 y (sqrt.f64 z)) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt (/ 1 z))) (taylor 0 z) (#s(alt (/.f64 y (sqrt.f64 z)) (patch (/.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt (/ 1 z))) (taylor 0 z) (#s(alt (/.f64 y (sqrt.f64 z)) (patch (/.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt (/ 1 z))) (taylor 0 z) (#s(alt (/.f64 y (sqrt.f64 z)) (patch (/.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt (/ 1 z))) (taylor 0 z) (#s(alt (/.f64 y (sqrt.f64 z)) (patch (/.f64 y (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y z) (sqrt.f64 z)) (patch (/.f64 (*.f64 y z) (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y z) (sqrt.f64 z)) (patch (/.f64 (*.f64 y z) (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y z) (sqrt.f64 z)) (patch (/.f64 (*.f64 y z) (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (/.f64 (*.f64 y z) (sqrt.f64 z)) (patch (/.f64 (*.f64 y z) (sqrt.f64 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 (* y (sqrt z)) (taylor 0 z) (#s(alt (/.f64 z (/.f64 (sqrt.f64 z) y)) (patch (/.f64 z (/.f64 (sqrt.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (/.f64 z (/.f64 (sqrt.f64 z) y)) (patch (/.f64 z (/.f64 (sqrt.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (/.f64 z (/.f64 (sqrt.f64 z) y)) (patch (/.f64 z (/.f64 (sqrt.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (/.f64 z (/.f64 (sqrt.f64 z) y)) (patch (/.f64 z (/.f64 (sqrt.f64 z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (sqrt z))) (taylor 0 z) (#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* (/ 1 y) (sqrt z)) (taylor 0 z) (#s(alt (/.f64 (sqrt.f64 z) y) (patch (/.f64 (sqrt.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* (/ 1 y) (sqrt z)) (taylor 0 z) (#s(alt (/.f64 (sqrt.f64 z) y) (patch (/.f64 (sqrt.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* (/ 1 y) (sqrt z)) (taylor 0 z) (#s(alt (/.f64 (sqrt.f64 z) y) (patch (/.f64 (sqrt.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* (/ 1 y) (sqrt z)) (taylor 0 z) (#s(alt (/.f64 (sqrt.f64 z) y) (patch (/.f64 (sqrt.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (patch (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (patch (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (patch (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* y (sqrt z)) (taylor 0 z) (#s(alt (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) (patch (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (+ x (* y (sqrt z)))) (taylor 0 z) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) (patch (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) (patch #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | z | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ y (pow z -1/2)) (pow z -1/2) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (* y z) (sqrt z)) (* y z) (/ z (/ (sqrt z) y)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (sqrt z) y) (/ (neg y) (/ -1 (sqrt z))) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (neg y) (sqrt z) (/ -1 (sqrt z))) |
| 2.0ms | z | @ | 0 | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ y (pow z -1/2)) (pow z -1/2) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (* y z) (sqrt z)) (* y z) (/ z (/ (sqrt z) y)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (sqrt z) y) (/ (neg y) (/ -1 (sqrt z))) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (neg y) (sqrt z) (/ -1 (sqrt z))) |
| 2.0ms | y | @ | -inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ y (pow z -1/2)) (pow z -1/2) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (* y z) (sqrt z)) (* y z) (/ z (/ (sqrt z) y)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (sqrt z) y) (/ (neg y) (/ -1 (sqrt z))) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (neg y) (sqrt z) (/ -1 (sqrt z))) |
| 2.0ms | z | @ | inf | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ y (pow z -1/2)) (pow z -1/2) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (* y z) (sqrt z)) (* y z) (/ z (/ (sqrt z) y)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (sqrt z) y) (/ (neg y) (/ -1 (sqrt z))) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (neg y) (sqrt z) (/ -1 (sqrt z))) |
| 1.0ms | y | @ | 0 | ((* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ y (pow z -1/2)) (pow z -1/2) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (* (/ y (sqrt z)) z) (/ y (sqrt z)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (* y z) (sqrt z)) (* y z) (/ z (/ (sqrt z) y)) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (/ (sqrt z) y) (/ (neg y) (/ -1 (sqrt z))) (* (+ (* (sqrt z) y) x) 1/2) (+ (* (sqrt z) y) x) (neg y) (sqrt z) (/ -1 (sqrt z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 3634 |
| 1 | 278 | 3586 |
| 2 | 833 | 3586 |
| 3 | 2697 | 3466 |
| 4 | 6106 | 3466 |
| 0 | 8298 | 3186 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* (/ 1 y) (sqrt z)) |
(* (/ 1 y) (sqrt z)) |
(* (/ 1 y) (sqrt z)) |
(* (/ 1 y) (sqrt z)) |
(* y (sqrt z)) |
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(* y (sqrt z)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(* 1/2 (+ x (* y (sqrt z)))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(* -1 (sqrt (/ 1 z))) |
(* -1 (sqrt (/ 1 z))) |
(* -1 (sqrt (/ 1 z))) |
(* -1 (sqrt (/ 1 z))) |
(* 1/2 (* y (sqrt z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* y (sqrt z)) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(sqrt (/ 1 z)) |
(* 1/2 (* y (sqrt z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* y (sqrt z)) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* 1/2 (* y (sqrt z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* y (sqrt z)) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
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(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* 1/2 (* y (sqrt z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* y (sqrt z)) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* (/ 1 y) (sqrt z)) |
(* (/ 1 y) (sqrt z)) |
(* (/ 1 y) (sqrt z)) |
(* (/ 1 y) (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* 1/2 (* y (sqrt z))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(* y (sqrt z)) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(* -1 (sqrt (/ 1 z))) |
(* -1 (sqrt (/ 1 z))) |
(* -1 (sqrt (/ 1 z))) |
(* -1 (sqrt (/ 1 z))) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* y (sqrt z))) |
(* -1 (* y (sqrt z))) |
(* -1 (* y (sqrt z))) |
(* -1 (* y (sqrt z))) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 z)) (pow (sqrt -1) 2)) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* (/ (pow (sqrt -1) 2) y) (sqrt z))) |
(* -1 (* (/ (pow (sqrt -1) 2) y) (sqrt z))) |
(* -1 (* (/ (pow (sqrt -1) 2) y) (sqrt z))) |
(* -1 (* (/ (pow (sqrt -1) 2) y) (sqrt z))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1/2 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* z (+ (* -1/2 (/ x z)) (* 1/2 (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z))))))) |
(* -1 (* (* y (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* (* y (pow (sqrt -1) 2)) (sqrt (/ 1 z)))))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (sqrt (/ 1 z))) |
(* -1 (sqrt (/ 1 z))) |
(* -1 (sqrt (/ 1 z))) |
(* -1 (sqrt (/ 1 z))) |
(* 1/2 x) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
x |
(+ x (* y (sqrt z))) |
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(+ x (* y (sqrt z))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
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(* 1/2 x) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
x |
(+ x (* y (sqrt z))) |
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(+ x (* y (sqrt z))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* 1/2 x) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
x |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* 1/2 x) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
x |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* (/ 1 y) (sqrt z)) |
(* (/ 1 y) (sqrt z)) |
(* (/ 1 y) (sqrt z)) |
(* (/ 1 y) (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* 1/2 x) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
x |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* 1/2 (* y (sqrt z))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (sqrt z)) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* 1/2 (* y (sqrt z))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (sqrt z)) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* 1/2 (* y (sqrt z))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (sqrt z)) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* 1/2 (* y (sqrt z))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (sqrt z)) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt z) (/ x y))) |
(* (/ 1 y) (sqrt z)) |
(* (/ 1 y) (sqrt z)) |
(* (/ 1 y) (sqrt z)) |
(* (/ 1 y) (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* 1/2 (* y (sqrt z))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (+ (* 1/2 (sqrt z)) (* 1/2 (/ x y)))) |
(* y (sqrt z)) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt z) (/ x y))) |
(* y (+ (sqrt z) (/ x y))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* 1/2 (* y (sqrt z))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* y (sqrt z)) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* 1/2 (* y (sqrt z))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* y (sqrt z)) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* y (sqrt (/ 1 z))) |
(* 1/2 (* y (sqrt z))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* y (sqrt z)) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* 1/2 (* y (sqrt z))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* y (sqrt z)) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* (/ 1 y) (sqrt z)) |
(* (/ 1 y) (sqrt z)) |
(* (/ 1 y) (sqrt z)) |
(* (/ 1 y) (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* y (sqrt z)) |
(* 1/2 (* y (sqrt z))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (sqrt z)) (* -1/2 (/ x y))))) |
(* y (sqrt z)) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (sqrt z)) (* -1 (/ x y))))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* 1/2 (* y (sqrt z))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(+ (* 1/2 x) (* 1/2 (* y (sqrt z)))) |
(* y (sqrt z)) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(+ x (* y (sqrt z))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
x |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
x |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
x |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
x |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
x |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
| Outputs |
|---|
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt (/ 1 z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(* y (sqrt (/ 1 z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(* y (sqrt (/ 1 z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(* y (sqrt (/ 1 z))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) y) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(* (/ 1 y) (sqrt z)) |
(/.f64 (sqrt.f64 z) y) |
(* (/ 1 y) (sqrt z)) |
(/.f64 (sqrt.f64 z) y) |
(* (/ 1 y) (sqrt z)) |
(/.f64 (sqrt.f64 z) y) |
(* (/ 1 y) (sqrt z)) |
(/.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* 1/2 (+ x (* y (sqrt z)))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(sqrt z) |
(sqrt.f64 z) |
(* -1 (sqrt (/ 1 z))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(* -1 (sqrt (/ 1 z))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(* -1 (sqrt (/ 1 z))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(* -1 (sqrt (/ 1 z))) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(* 1/2 (* y (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
(*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64)) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* z (+ (* y (sqrt (/ 1 z))) (/ x z))) |
(fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(* y (sqrt z)) |
(*.f64 (sqrt.f64 z) y) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(sqrt (/ 1 z)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) z)) |
(* 1/2 (* y (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 z) y) #s(literal 1/2 binary64)) |
(* z (+ (* 1/2 (* y (sqrt (/ 1 z)))) (* 1/2 (/ x z)))) |
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(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(+ x (* y (sqrt z))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (sqrt.f64 z) y x) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (sqrt.f64 z) y x) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (sqrt.f64 z) y x) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (sqrt.f64 z) y x) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (sqrt.f64 z) y x) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (sqrt.f64 z) y x) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (sqrt.f64 z) y x) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (sqrt.f64 z) y x) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/2 (* (/ y x) (sqrt z))))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
x |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (sqrt.f64 z) y x) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (sqrt.f64 z) y x) |
(* x (+ 1 (* (/ y x) (sqrt z)))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
x |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
x |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
x |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
x |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(* -1 (* x (- (* -1/2 (* (/ y x) (sqrt z))) 1/2))) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
x |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
(* -1 (* x (- (* -1 (* (/ y x) (sqrt z))) 1))) |
(fma.f64 (sqrt.f64 z) y x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 192 |
| 0 | 48 | 176 |
| 1 | 127 | 161 |
| 2 | 552 | 161 |
| 3 | 4269 | 161 |
| 0 | 9143 | 151 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) |
(/.f64 y (pow.f64 z #s(literal -1/2 binary64))) |
(pow.f64 z #s(literal -1/2 binary64)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) |
(*.f64 (/.f64 y (sqrt.f64 z)) z) |
(/.f64 y (sqrt.f64 z)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) |
(/.f64 (*.f64 y z) (sqrt.f64 z)) |
(*.f64 y z) |
(/.f64 z (/.f64 (sqrt.f64 z) y)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) |
(/.f64 (sqrt.f64 z) y) |
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) |
#s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) |
(neg.f64 y) |
(sqrt.f64 z) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 z)) |
| Outputs |
|---|
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Compiled 23 389 to 3 253 computations (86.1% saved)
9 alts after pruning (1 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 990 | 1 | 1 991 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 992 | 9 | 2 001 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 21.5% | (/.f64 (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
| ✓ | 99.9% | (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
| ✓ | 43.6% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) |
| ✓ | 42.6% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) |
| 49.3% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y #s(approx (pow z -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) #s(literal 1/2 binary64)) | |
| ✓ | 42.0% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) |
| ✓ | 49.3% | (*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
| ✓ | 93.8% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) |
| ✓ | 51.9% | #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Compiled 371 to 189 computations (49.1% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (/.f64 y (sqrt.f64 z)) z)) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (*.f64 y z) (sqrt.f64 z))) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 y (sqrt.f64 z)) z x) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 z (sqrt.f64 z)) y x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) x) #s(literal 1/2 binary64))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) x) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y #s(approx (pow z -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 z (/.f64 (sqrt.f64 z) y))) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 z)))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 #s(approx (+ (* (neg z) (* y y)) (* x x)) (*.f64 (*.f64 (neg.f64 y) z) y)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) (*.f64 y y) (*.f64 x x)) #s(literal 1/2 binary64)) (-.f64 x (*.f64 (sqrt.f64 z) y))) |
(/.f64 (*.f64 (fma.f64 (*.f64 z y) y (*.f64 (neg.f64 x) x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (sqrt.f64 z) y) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (*.f64 (sqrt.f64 (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z)))))) |
#s(approx (/ (* (+ (* (neg z) (* y y)) (* x x)) 1/2) (- x (* (sqrt z) y))) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x (*.f64 (sqrt.f64 z) y))) (neg.f64 (*.f64 (*.f64 z y) (/.f64 y (-.f64 x (*.f64 (sqrt.f64 z) y))))))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (/.f64 y (pow.f64 z #s(literal -1/2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 y z) x) #s(literal 1/2 binary64)) |
(fma.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 y #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
7 calls:
| 9.0ms | (sqrt.f64 z) |
| 9.0ms | z |
| 7.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 7.0ms | x |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 99.9% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 99.9% | 1 | (*.f64 y (sqrt.f64 z)) |
| 99.9% | 1 | (sqrt.f64 z) |
Compiled 25 to 34 computations (-36% saved)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
(*.f64 #s(approx (+ (* (sqrt z) y) x) (*.f64 (sqrt.f64 z) y)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) |
7 calls:
| 4.0ms | x |
| 3.0ms | (sqrt.f64 z) |
| 2.0ms | y |
| 2.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.1% | 3 | x |
| 76.9% | 3 | y |
| 66.0% | 2 | z |
| 59.9% | 3 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 59.9% | 3 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 81.4% | 3 | (*.f64 y (sqrt.f64 z)) |
| 66.0% | 2 | (sqrt.f64 z) |
Compiled 25 to 34 computations (-36% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
7 calls:
| 2.0ms | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 1.0ms | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 1.0ms | x |
| 1.0ms | (sqrt.f64 z) |
| 1.0ms | (*.f64 y (sqrt.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.9% | 1 | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (+.f64 x (*.f64 y (sqrt.f64 z)))) |
| 51.9% | 1 | (+.f64 x (*.f64 y (sqrt.f64 z))) |
| 51.9% | 1 | z |
| 51.9% | 1 | (sqrt.f64 z) |
| 51.9% | 1 | x |
| 51.9% | 1 | y |
| 51.9% | 1 | (*.f64 y (sqrt.f64 z)) |
Compiled 25 to 34 computations (-36% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.166490006828065e+77 | 7.956581506615147e+87 |
| 0.0ms | -5.979556023776784e+52 | -2.1769448714949027e+48 |
Compiled 13 to 16 computations (-23.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 75 |
| 1 | 33 | 75 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -49999999999999999661047433718081398823085422097203200 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 500000000000000004246810716844851488074434962299380307947499551351398452953088 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
| Outputs |
|---|
(*.f64 (fma.f64 (sqrt.f64 z) y x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 z) y x)) |
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -49999999999999999661047433718081398823085422097203200 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 500000000000000004246810716844851488074434962299380307947499551351398452953088 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) y))))) |
(if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal -49999999999999999661047433718081398823085422097203200 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))) (if (<=.f64 (*.f64 y (sqrt.f64 z)) #s(literal 500000000000000004246810716844851488074434962299380307947499551351398452953088 binary64)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) #s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 (*.f64 y (sqrt.f64 z)) #s(literal 1/2 binary64))))) |
#s(approx (* (/ 1 2) (+ x (* y (sqrt z)))) (*.f64 #s(literal 1/2 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 646 |
| 1 | 251 | 646 |
| 2 | 797 | 646 |
| 3 | 2298 | 622 |
| 4 | 5069 | 622 |
| 5 | 7549 | 622 |
| 0 | 8141 | 566 |
| 0 | 10 | 21 |
| 0 | 16 | 21 |
| 1 | 41 | 21 |
| 2 | 234 | 21 |
| 3 | 2001 | 21 |
| 0 | 8162 | 19 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 91 to 50 computations (45.1% saved)
Compiled 106 to 56 computations (47.2% saved)
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