
Time bar (total: 9.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 6 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 7 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 8 |
| 26.2% | 25% | 70.2% | 0.1% | 0% | 4.7% | 0% | 9 |
| 28.9% | 25% | 61.4% | 0.1% | 0% | 13.5% | 0% | 10 |
| 31.2% | 26.3% | 58% | 0.1% | 0% | 15.5% | 0% | 11 |
| 37.2% | 28.9% | 48.7% | 0.1% | 0% | 22.3% | 0% | 12 |
Compiled 16 to 13 computations (18.8% saved)
| 707.0ms | 8 256× | 0 | valid |
| 473.0ms | 4 582× | 0 | invalid |
ival-mult: 409.0ms (57.4% of total)ival-add: 158.0ms (22.2% of total)ival-sqrt: 123.0ms (17.3% of total)ival-true: 10.0ms (1.4% of total)exact: 8.0ms (1.1% of total)ival-assert: 5.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 83 | 0 | - | 1 | (-2.673828494286677e-248 -6.232848500765946e-301 -9.714955759765926e-67) | (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) |
| 5 | 0 | - | 0 | - | (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) |
| 4 | 0 | - | 0 | - | (+.f64 (*.f64 x y) (*.f64 x z)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x z) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 y z) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) | oflow-rescue | 73 | 0 |
| ↳ | (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) | overflow | 73 | |
| ↳ | (*.f64 y z) | overflow | 28 | |
| ↳ | (+.f64 (*.f64 x y) (*.f64 x z)) | overflow | 55 | |
| ↳ | (*.f64 x z) | overflow | 28 | |
| ↳ | (*.f64 x y) | overflow | 38 | |
sqrt.f64 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) | uflow-rescue | 9 | 0 |
| ↳ | (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) | underflow | 9 | |
| ↳ | (*.f64 y z) | underflow | 32 | |
| ↳ | (+.f64 (*.f64 x y) (*.f64 x z)) | underflow | 10 | |
| ↳ | (*.f64 x z) | underflow | 37 | |
| ↳ | (*.f64 x y) | underflow | 27 | |
+.f64 | (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) | nan-rescue | 5 | 0 |
| ↳ | (+.f64 (*.f64 x y) (*.f64 x z)) | overflow | 55 | |
| ↳ | (*.f64 x z) | overflow | 28 | |
| ↳ | (*.f64 x y) | overflow | 38 | |
| ↳ | (*.f64 y z) | overflow | 28 | |
+.f64 | (+.f64 (*.f64 x y) (*.f64 x z)) | nan-rescue | 4 | 0 |
| ↳ | (*.f64 x y) | overflow | 38 | |
| ↳ | (*.f64 x z) | overflow | 28 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 82 | 1 |
| - | 0 | 173 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 82 | 0 | 1 |
| - | 0 | 0 | 173 |
| number | freq |
|---|---|
| 0 | 174 |
| 1 | 74 |
| 2 | 7 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 128.0ms | 512× | 0 | valid |
Compiled 135 to 37 computations (72.6% saved)
ival-mult: 20.0ms (68.5% of total)ival-add: 4.0ms (13.7% of total)ival-sqrt: 4.0ms (13.7% 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 |
| 468× | cancel-sign-sub-inv |
| 354× | sub-neg |
| 204× | associate-+l- |
| 204× | unsub-neg |
| 180× | associate--r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 118 |
| 1 | 133 | 112 |
| 2 | 237 | 108 |
| 3 | 446 | 108 |
| 4 | 929 | 108 |
| 5 | 1336 | 108 |
| 6 | 1729 | 108 |
| 7 | 1794 | 108 |
| 8 | 1806 | 108 |
| 0 | 11 | 14 |
| 0 | 18 | 12 |
| 1 | 28 | 12 |
| 2 | 40 | 12 |
| 3 | 49 | 12 |
| 4 | 50 | 12 |
| 0 | 50 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) |
(*.f64 (sqrt.f64 (fma.f64 (+.f64 z x) y (*.f64 z x))) #s(literal 2 binary64)) |
(sort x y z)
Compiled 17 to 11 computations (35.3% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.4% | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) |
Compiled 17 to 11 computations (35.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) | |
| cost-diff | 128 | (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) | |
| cost-diff | 320 | (+.f64 (*.f64 x y) (*.f64 x z)) |
| 48× | lower-fma.f64 |
| 48× | lower-fma.f32 |
| 36× | lower-+.f32 |
| 32× | lower-+.f64 |
| 28× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 57 |
| 0 | 18 | 49 |
| 1 | 28 | 49 |
| 2 | 40 | 49 |
| 3 | 49 | 49 |
| 4 | 50 | 49 |
| 0 | 50 | 46 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) |
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) |
(+.f64 (*.f64 x y) (*.f64 x z)) |
(*.f64 x y) |
x |
y |
(*.f64 x z) |
z |
(*.f64 y z) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) |
(*.f64 (sqrt.f64 (fma.f64 (+.f64 z x) y (*.f64 z x))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) |
(sqrt.f64 (fma.f64 (+.f64 z x) y (*.f64 z x))) |
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) |
(fma.f64 (+.f64 z x) y (*.f64 z x)) |
(+.f64 (*.f64 x y) (*.f64 x z)) |
(*.f64 (+.f64 z y) x) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(*.f64 x z) |
(*.f64 z x) |
z |
(*.f64 y z) |
(*.f64 z y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) | |
| accuracy | 0.8007812500000001 | (+.f64 (*.f64 x y) (*.f64 x z)) | |
| accuracy | 1.0117187500000002 | (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) | |
| accuracy | 19.431929812172363 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) |
| 49.0ms | 256× | 0 | valid |
Compiled 59 to 13 computations (78% saved)
ival-mult: 7.0ms (59.7% of total)ival-add: 2.0ms (17% of total)ival-sqrt: 2.0ms (17% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 x y) (*.f64 x z)) (patch (+.f64 (*.f64 x y) (*.f64 x z)) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 x z)) (patch (+.f64 (*.f64 x y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 x z)) (patch (+.f64 (*.f64 x y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 x z)) (patch (+.f64 (*.f64 x y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (+.f64 (*.f64 x y) (*.f64 x z)) (patch (+.f64 (*.f64 x y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (* x y))) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (* x y)) (taylor 0 z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y))))) (taylor 0 z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y)))))) (taylor 0 z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3))))))))) (taylor 0 z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 x z)) (patch (+.f64 (*.f64 x y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 x z)) (patch (+.f64 (*.f64 x y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 x z)) (patch (+.f64 (*.f64 x y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x (/ (* x y) z))) (taylor inf z) (#s(alt (+.f64 (*.f64 x y) (*.f64 x z)) (patch (+.f64 (*.f64 x y) (*.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x y)) (taylor inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x (+ y (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x (+ y (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ x (+ y (/ (* x y) z)))) (taylor inf z) (#s(alt (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) (patch (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (* z (+ x y)))) (taylor inf z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))) (taylor inf z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))) (taylor inf z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))) (taylor inf z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (* z (+ x y))) (taylor inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (sqrt (/ (+ x y) z)) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))) (taylor inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))) (taylor inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))) (taylor inf z) (#s(alt (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) (patch (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z)))) |
| 3.0ms | y | @ | -inf | ((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z)))) |
| 3.0ms | z | @ | -inf | ((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z)))) |
| 2.0ms | y | @ | inf | ((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z)))) |
| 2.0ms | z | @ | inf | ((+ (* x y) (* x z)) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z)))) |
| 1× | egg-herbie |
| 11 034× | lower-fma.f64 |
| 11 034× | lower-fma.f32 |
| 7 720× | lower-*.f64 |
| 7 720× | lower-*.f32 |
| 3 024× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 501 | 3429 |
| 1 | 1684 | 3363 |
| 2 | 6236 | 3318 |
| 0 | 8106 | 3177 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(* x y) |
(+ (* x y) (* z (+ x y))) |
(+ (* x y) (* z (+ x y))) |
(+ (* x y) (* z (+ x y))) |
(* 2 (sqrt (* x y))) |
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) |
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y))))) |
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y))))) |
(sqrt (* x y)) |
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y))))) |
(+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y)))))) |
(+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3))))))))) |
(* x z) |
(* z (+ x (/ (* x y) z))) |
(* z (+ x (/ (* x y) z))) |
(* z (+ x (/ (* x y) z))) |
(* z (+ x y)) |
(* z (+ x (+ y (/ (* x y) z)))) |
(* z (+ x (+ y (/ (* x y) z)))) |
(* z (+ x (+ y (/ (* x y) z)))) |
(* 2 (sqrt (* z (+ x y)))) |
(* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))) |
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))) |
(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))) |
(sqrt (* z (+ x y))) |
(* z (+ (sqrt (/ (+ x y) z)) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))) |
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))))) |
(* z (+ (sqrt (/ (+ x y) z)) (+ (* -1/8 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow y 3)) (sqrt (/ 1 (* (pow z 7) (pow (+ x y) 5)))))) (* 1/2 (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 x) (* -1 y)))) |
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z)))))) |
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z)))))) |
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (* x y) z)))))) |
(* -2 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1))) |
(* -1 (* z (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))))) |
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))) |
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))))))) |
(* -1 (* (sqrt (* z (+ (* -1 x) (* -1 y)))) (sqrt -1))) |
(* -1 (* z (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))) |
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))) |
(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))))))) |
(* x z) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(+ (* x y) (* x z)) |
(* x z) |
(+ (* x z) (* y (+ x z))) |
(+ (* x z) (* y (+ x z))) |
(+ (* x z) (* y (+ x z))) |
(* 2 (sqrt (* x z))) |
(+ (* 2 (sqrt (* x z))) (* (sqrt (/ 1 (* x z))) (* y (+ x z)))) |
(+ (* 2 (sqrt (* x z))) (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* (sqrt (/ 1 (* x z))) (+ x z))))) |
(+ (* 2 (sqrt (* x z))) (* y (+ (* y (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3)))))) (* (sqrt (/ 1 (* x z))) (+ x z))))) |
(sqrt (* x z)) |
(+ (sqrt (* x z)) (* 1/2 (* (sqrt (/ 1 (* x z))) (* y (+ x z))))) |
(+ (sqrt (* x z)) (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (pow (+ x z) 2)))) (* 1/2 (* (sqrt (/ 1 (* x z))) (+ x z)))))) |
(+ (sqrt (* x z)) (* y (+ (* 1/2 (* (sqrt (/ 1 (* x z))) (+ x z))) (* y (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow (+ x z) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow z 5)))) (* y (pow (+ x z) 3))))))))) |
(* x y) |
(* y (+ x (/ (* x z) y))) |
(* y (+ x (/ (* x z) y))) |
(* y (+ x (/ (* x z) y))) |
(* y (+ x z)) |
(* y (+ x (+ z (/ (* x z) y)))) |
(* y (+ x (+ z (/ (* x z) y)))) |
(* y (+ x (+ z (/ (* x z) y)))) |
(* 2 (sqrt (* y (+ x z)))) |
(* y (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))) |
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))) |
(* y (+ (* -1/4 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/8 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 2 (sqrt (/ (+ x z) y))) (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))) |
(sqrt (* y (+ x z))) |
(* y (+ (sqrt (/ (+ x z) y)) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))) |
(* y (+ (sqrt (/ (+ x z) y)) (+ (* -1/8 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z))))))))) |
(* y (+ (sqrt (/ (+ x z) y)) (+ (* -1/8 (* (* (pow x 2) (pow z 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/16 (* (* (pow x 3) (pow z 3)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))))))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 z)))) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y)))))) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y)))))) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y)))))) |
(* -2 (* (sqrt (* y (+ (* -1 x) (* -1 z)))) (sqrt -1))) |
(* -1 (* y (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))))) |
(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z)))))))))) |
(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))))))) |
(* -1 (* (sqrt (* y (+ (* -1 x) (* -1 z)))) (sqrt -1))) |
(* -1 (* y (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))))) |
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))) |
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))))))) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* y z) |
(+ (* x (+ y z)) (* y z)) |
(+ (* x (+ y z)) (* y z)) |
(+ (* x (+ y z)) (* y z)) |
(* 2 (sqrt (* y z))) |
(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z))))) |
(+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z))))) |
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z))))) |
(sqrt (* y z)) |
(+ (sqrt (* y z)) (* 1/2 (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))) |
(+ (sqrt (* y z)) (* x (+ (* -1/8 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z)))))) |
(+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/16 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5))))))))))) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y (+ z (/ (* y z) x)))) |
(* x (+ y (+ z (/ (* y z) x)))) |
(* x (+ y (+ z (/ (* y z) x)))) |
(* 2 (sqrt (* x (+ y z)))) |
(* x (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))) |
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))) |
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))) |
(sqrt (* x (+ y z))) |
(* x (+ (sqrt (/ (+ y z) x)) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))) |
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))) |
(* x (+ (sqrt (/ (+ y z) x)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) |
(* -2 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1))) |
(* -1 (* x (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))) |
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))) |
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))))) |
(* -1 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))))) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (+ x y))) |
(fma.f64 (+.f64 y x) z (*.f64 y x)) |
(+ (* x y) (* z (+ x y))) |
(fma.f64 (+.f64 y x) z (*.f64 y x)) |
(+ (* x y) (* z (+ x y))) |
(fma.f64 (+.f64 y x) z (*.f64 y x)) |
(* 2 (sqrt (* x y))) |
(*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64)) |
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) (+.f64 y x)) z (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) (+.f64 y x))) z (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))))) z (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) (+.f64 y x))) z (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(sqrt (* x y)) |
(sqrt.f64 (*.f64 y x)) |
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) z)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) (sqrt.f64 (*.f64 y x))) |
(+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))) z (sqrt.f64 (*.f64 y x))) |
(+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))))) z (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 y x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))) z (sqrt.f64 (*.f64 y x))) |
(* x z) |
(*.f64 z x) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (fma.f64 (/.f64 y z) x x) z) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (fma.f64 (/.f64 y z) x x) z) |
(* z (+ x (/ (* x y) z))) |
(*.f64 (fma.f64 (/.f64 y z) x x) z) |
(* z (+ x y)) |
(*.f64 (+.f64 y x) z) |
(* z (+ x (+ y (/ (* x y) z)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z) |
(* z (+ x (+ y (/ (* x y) z)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z) |
(* z (+ x (+ y (/ (* x y) z)))) |
(*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z) |
(* 2 (sqrt (* z (+ x y)))) |
(*.f64 (sqrt.f64 (*.f64 (+.f64 y x) z)) #s(literal 2 binary64)) |
(* z (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))))) |
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(* z (+ (* -1/4 (* (* (pow x 2) (pow y 2)) (sqrt (/ 1 (* (pow z 5) (pow (+ x y) 3)))))) (+ (* 2 (sqrt (/ (+ x y) z))) (* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))) |
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(* x y) |
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(* -1 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (-.f64 (neg.f64 z) y) x))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 z) y)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 z y) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 z) y) #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 z z) y) y)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 z) y)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 z y) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 z) y) #s(literal 5 binary64))) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (neg.f64 z) y) #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 z z) y) y))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 z) y)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (*.f64 z y) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x))))) (neg.f64 x)) |
| 8 534× | lower-fma.f64 |
| 8 534× | lower-fma.f32 |
| 4 952× | lower-*.f32 |
| 4 944× | lower-*.f64 |
| 2 750× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 44 |
| 0 | 18 | 36 |
| 1 | 55 | 36 |
| 2 | 435 | 36 |
| 3 | 6667 | 36 |
| 0 | 8469 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x y) (*.f64 x z)) |
(+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) |
(sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 x x) z) (+.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) z) (-.f64 z y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x x) z) (-.f64 z y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) z) (-.f64 z y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) z) (-.f64 z y)) (-.f64 (*.f64 (*.f64 (*.f64 x x) z) (-.f64 z y)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (*.f64 (+.f64 z y) x)) |
(*.f64 (/.f64 (*.f64 (+.f64 z y) x) x) (/.f64 (*.f64 (-.f64 y z) x) (-.f64 y z))) |
(*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 z y)))) |
(*.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x)) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 y z)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(*.f64 (+.f64 z y) x) |
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 z y) x) (fma.f64 (*.f64 (*.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 z y) x) (pow.f64 (fma.f64 (*.f64 (*.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 z y) x) (/.f64 (*.f64 (-.f64 y z) x) (*.f64 (-.f64 y z) x))) |
(*.f64 (*.f64 (+.f64 z y) x) (*.f64 (*.f64 (-.f64 y z) x) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal -1 binary64)))) |
(*.f64 x (+.f64 z y)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) x) (-.f64 y z)) |
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 z (-.f64 z y) (*.f64 y y))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 z x) #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (fma.f64 y y (*.f64 z z)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 6 binary64))) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 y y (*.f64 z z))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x x) z) y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 x (*.f64 (+.f64 z y) (-.f64 y z))) (-.f64 y z)) |
(/.f64 (*.f64 x (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z))) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) (fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) x) (-.f64 y z)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 z y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))))) (neg.f64 (*.f64 (neg.f64 x) (-.f64 y z)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 y y (*.f64 z z))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (*.f64 (-.f64 y z) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x x) z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 y z) x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 z x) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 y y (*.f64 z z))) (*.f64 (-.f64 y z) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 y z) x)) (*.f64 (*.f64 (-.f64 y z) x) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 z x) #s(literal 4 binary64))) (*.f64 (*.f64 (-.f64 y z) x) (*.f64 (*.f64 x x) (fma.f64 y y (*.f64 z z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 x (-.f64 z y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 6 binary64))) (*.f64 (*.f64 (-.f64 y z) x) (fma.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 y y (*.f64 z z))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 z y)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 z x) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 x x) z) y) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) (-.f64 y z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (*.f64 (-.f64 y z) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) z) (-.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) |
(neg.f64 (*.f64 (neg.f64 x) (+.f64 z y))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 x x) z) (+.f64 z y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (*.f64 (+.f64 z y) x) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y y) x) x) (/.f64 x (-.f64 y z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 x x) y) x) (/.f64 y (-.f64 y z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) |
(fma.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 x x) (-.f64 y z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) |
(fma.f64 (/.f64 (*.f64 y x) x) (/.f64 (*.f64 y x) (-.f64 y z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) |
(fma.f64 (/.f64 y x) (/.f64 (*.f64 (*.f64 x x) y) (-.f64 y z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) |
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 y y) (-.f64 y z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) |
(fma.f64 (/.f64 x x) (/.f64 (*.f64 (*.f64 y y) x) (-.f64 y z)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) |
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 x (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) |
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(/.f64 (hypot.f64 (pow.f64 (*.f64 (+.f64 y x) z) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 (*.f64 (+.f64 y x) z) (-.f64 (*.f64 (+.f64 y x) z) (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 z (-.f64 x y) (*.f64 y x))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 z y) x) (fma.f64 z (-.f64 x y) (*.f64 y x)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 z (-.f64 x y) (*.f64 y x))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 (+.f64 z y) x) (fma.f64 z (-.f64 x y) (*.f64 y x)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (hypot.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 z (-.f64 x y) (*.f64 y x)))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 (*.f64 (+.f64 z y) x) (fma.f64 z (-.f64 x y) (*.f64 y x)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) |
(sqrt.f64 (fma.f64 (+.f64 y x) z (*.f64 y x))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 y x) z (*.f64 y x))) #s(literal 1/2 binary64))) |
Compiled 11 153 to 1 551 computations (86.1% saved)
20 alts after pruning (20 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 352 | 20 | 372 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 353 | 20 | 373 |
| Status | Accuracy | Program |
|---|---|---|
| 69.3% | (*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) | |
| 43.5% | (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)) (fma.f64 (+.f64 y x) z (*.f64 y x))) #s(literal 1/4 binary64))) | |
| ▶ | 69.0% | (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))) |
| ▶ | 69.4% | (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) |
| 50.9% | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 (*.f64 y y) x) (/.f64 x (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z)))) | |
| 45.8% | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 (*.f64 x x) y) (/.f64 y (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z)))) | |
| 44.7% | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z)))) | |
| 38.5% | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(approx (+ (* x y) (* x z)) (*.f64 z x)) (*.f64 y z)))) | |
| 52.7% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))) | |
| 58.7% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z)))) | |
| ▶ | 34.9% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) |
| 38.6% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))) | |
| 36.3% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))) | |
| 3.8% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) | |
| ▶ | 33.4% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) |
| 64.9% | (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 y x) z (*.f64 y x))) #s(literal 1/2 binary64)))) | |
| 3.7% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) | |
| 33.1% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) (+.f64 y x)) z (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64)))) | |
| 30.7% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y)) | |
| ▶ | 40.5% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)) |
Compiled 794 to 480 computations (39.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z) | |
| cost-diff | 0 | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))) | |
| cost-diff | 320 | (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))) | |
| cost-diff | 0 | (*.f64 (+.f64 z y) x) | |
| cost-diff | 0 | #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) | |
| cost-diff | 0 | (+.f64 z x) | |
| cost-diff | 0 | (fma.f64 y (+.f64 z x) (*.f64 z x)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) |
| 222× | lower-*.f32 |
| 204× | lower-*.f64 |
| 144× | lower-fma.f32 |
| 138× | lower-fma.f64 |
| 80× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 371 |
| 0 | 73 | 355 |
| 1 | 114 | 348 |
| 2 | 153 | 348 |
| 3 | 220 | 348 |
| 4 | 285 | 348 |
| 0 | 285 | 348 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) |
#s(literal 2 binary64) |
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) |
(fma.f64 y (+.f64 z x) (*.f64 z x)) |
y |
(+.f64 z x) |
z |
x |
(*.f64 z x) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))) |
#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))) |
#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)) |
(*.f64 (+.f64 z y) x) |
(+.f64 z y) |
z |
y |
x |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))) |
(fma.f64 (+.f64 y x) z (*.f64 y x)) |
(+.f64 y x) |
y |
x |
z |
(*.f64 y x) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z) |
(fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (+.f64 y x)) |
#s(literal 1 binary64) |
(+.f64 y x) |
y |
x |
(pow.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
(*.f64 y x) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64)) |
(sqrt.f64 (/.f64 (+.f64 y x) z)) |
(/.f64 (+.f64 y x) z) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) |
(*.f64 (sqrt.f64 (fma.f64 (+.f64 x z) y (*.f64 x z))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) |
(sqrt.f64 (fma.f64 (+.f64 x z) y (*.f64 x z))) |
(fma.f64 y (+.f64 z x) (*.f64 z x)) |
(fma.f64 (+.f64 x z) y (*.f64 x z)) |
y |
(+.f64 z x) |
(+.f64 x z) |
z |
x |
(*.f64 z x) |
(*.f64 x z) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) |
(*.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 x y))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))) |
(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 x y))) |
#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)) |
#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) |
(*.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))) |
#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)) |
(*.f64 (+.f64 z y) x) |
(+.f64 z y) |
z |
y |
x |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))) |
(/.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) y (*.f64 x z))))) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) y (*.f64 x z))))) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) y (*.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x z) y (*.f64 x z))) |
(fma.f64 (+.f64 y x) z (*.f64 y x)) |
(fma.f64 (+.f64 x z) y (*.f64 x z)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
z |
(*.f64 y x) |
(*.f64 x y) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (*.f64 x y) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) z)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (*.f64 x y) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) z) |
(fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) |
(fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) (*.f64 x y) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) |
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)) |
(/.f64 #s(literal 1 binary64) (+.f64 y x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x y)) |
#s(literal 1 binary64) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(pow.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
(*.f64 y x) |
(*.f64 x y) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64)) |
(sqrt.f64 (/.f64 (+.f64 y x) z)) |
(sqrt.f64 (/.f64 (+.f64 x y) z)) |
(/.f64 (+.f64 y x) z) |
(/.f64 (+.f64 x y) z) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 5.279691792504628 | (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) | |
| accuracy | 10.534792208189236 | (sqrt.f64 (/.f64 (+.f64 y x) z)) | |
| accuracy | 15.703332353451053 | (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) | |
| accuracy | 16.31436507071327 | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)) | |
| accuracy | 0.2109375 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))) | |
| accuracy | 0.4175095864016729 | (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))) | |
| accuracy | 0.5195257452111204 | (fma.f64 (+.f64 y x) z (*.f64 y x)) | |
| accuracy | 14.011791340010049 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) | |
| accuracy | 0.00390625 | (*.f64 (+.f64 z y) x) | |
| accuracy | 14.252428251170217 | (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))) | |
| accuracy | 29.103840265652167 | #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) | |
| accuracy | 14.252428251170217 | (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))) | |
| accuracy | 30.454254688884657 | #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) | |
| accuracy | 0.9999889904222409 | (fma.f64 y (+.f64 z x) (*.f64 z x)) | |
| accuracy | 14.252428251170217 | (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) |
| 219.0ms | 61× | 0 | invalid |
| 136.0ms | 195× | 0 | valid |
Compiled 328 to 41 computations (87.5% saved)
ival-mult: 222.0ms (76.6% of total)ival-add: 47.0ms (16.2% of total)ival-div: 8.0ms (2.8% of total)ival-sqrt: 8.0ms (2.8% of total)ival-pow: 4.0ms (1.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) (patch (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (+.f64 z x) (*.f64 z x)) (patch (fma.f64 y (+.f64 z x) (*.f64 z x)) #<representation binary64>) () ()) |
#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))) (patch (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))) (patch (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)) (patch #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 z y) x) (patch (*.f64 (+.f64 z y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))) (patch (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)) (patch #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z) (patch (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) (patch (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (patch (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 y x) z (*.f64 y x)) (patch (fma.f64 (+.f64 y x) z (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 (+.f64 y x) z)) (patch (sqrt.f64 (/.f64 (+.f64 y x) z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2 (sqrt (* x y))) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (* x y)) (taylor 0 z) (#s(alt (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) (patch (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y))))) (taylor 0 z) (#s(alt (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) (patch (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y)))))) (taylor 0 z) (#s(alt (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) (patch (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3))))))))) (taylor 0 z) (#s(alt (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) (patch (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 y (+.f64 z x) (*.f64 z x)) (patch (fma.f64 y (+.f64 z x) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (fma.f64 y (+.f64 z x) (*.f64 z x)) (patch (fma.f64 y (+.f64 z x) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (fma.f64 y (+.f64 z x) (*.f64 z x)) (patch (fma.f64 y (+.f64 z x) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (fma.f64 y (+.f64 z x) (*.f64 z x)) (patch (fma.f64 y (+.f64 z x) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (+ x z) (taylor 0 z) (#s(alt (+.f64 z x) (patch (+.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (* x y))) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (* x y)) (taylor 0 z) (#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))) (patch (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y))))) (taylor 0 z) (#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))) (patch (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y)))))) (taylor 0 z) (#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))) (patch (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3))))))))) (taylor 0 z) (#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))) (patch (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)) (patch #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (* x y))) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (* x y)) (taylor 0 z) (#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))) (patch (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y))))) (taylor 0 z) (#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))) (patch (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y)))))) (taylor 0 z) (#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))) (patch (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3))))))))) (taylor 0 z) (#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))) (patch (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)) (patch #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)) (patch #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)) (patch #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)) (patch #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (*.f64 (+.f64 z y) x) (patch (*.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* x z)) (taylor 0 z) (#s(alt (*.f64 (+.f64 z y) x) (patch (*.f64 (+.f64 z y) x) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | y | @ | 0 | ((* 2 (sqrt (+ (* y (+ z x)) (* z x)))) (sqrt (+ (* y (+ z x)) (* z x))) (+ (* y (+ z x)) (* z x)) (+ z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* z x) (+ (* (+ y x) z) (* y x)) (sqrt (/ (+ y x) z))) |
| 14.0ms | y | @ | -inf | ((* 2 (sqrt (+ (* y (+ z x)) (* z x)))) (sqrt (+ (* y (+ z x)) (* z x))) (+ (* y (+ z x)) (* z x)) (+ z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* z x) (+ (* (+ y x) z) (* y x)) (sqrt (/ (+ y x) z))) |
| 8.0ms | y | @ | inf | ((* 2 (sqrt (+ (* y (+ z x)) (* z x)))) (sqrt (+ (* y (+ z x)) (* z x))) (+ (* y (+ z x)) (* z x)) (+ z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* z x) (+ (* (+ y x) z) (* y x)) (sqrt (/ (+ y x) z))) |
| 8.0ms | x | @ | -inf | ((* 2 (sqrt (+ (* y (+ z x)) (* z x)))) (sqrt (+ (* y (+ z x)) (* z x))) (+ (* y (+ z x)) (* z x)) (+ z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* z x) (+ (* (+ y x) z) (* y x)) (sqrt (/ (+ y x) z))) |
| 7.0ms | z | @ | 0 | ((* 2 (sqrt (+ (* y (+ z x)) (* z x)))) (sqrt (+ (* y (+ z x)) (* z x))) (+ (* y (+ z x)) (* z x)) (+ z x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* y x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x))))) (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))) (/ 1 (+ (* (+ y x) z) (* y x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* z x) (+ (* (+ y x) z) (* y x)) (sqrt (/ (+ y x) z))) |
| 1× | egg-herbie |
| 7 868× | lower-*.f64 |
| 7 868× | lower-*.f32 |
| 7 240× | lower-fma.f64 |
| 7 240× | lower-fma.f32 |
| 5 554× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1628 | 23266 |
| 1 | 5646 | 22569 |
| 0 | 9100 | 21721 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(* x z) |
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(* -1 (* y (+ (* -1/8 (* (/ (* (pow x 2) (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))) (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1/8 (* (/ (* (pow x 2) (pow z 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) (pow (+ x z) 3)))))) (+ (* 1/16 (* (/ (* (pow x 3) (pow z 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow y 7) (pow (+ x z) 5)))))) (+ (* 1/2 (* (* x z) (sqrt (/ 1 (* (pow y 3) (+ x z)))))) (* (sqrt (/ (+ x z) y)) (pow (sqrt -1) 2))))))) |
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(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))))))) |
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(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))) |
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(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))) |
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))))))) |
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(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z)))))))))) |
(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))))))) |
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(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))) |
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))))))) |
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(/ -1 (* y (+ (* -1 x) (* -1 z)))) |
(* -1 (/ (+ (/ 1 (+ (* -1 x) (* -1 z))) (/ (* x z) (* y (pow (+ (* -1 x) (* -1 z)) 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow x 2) (pow z 2)) (* y (pow (+ (* -1 x) (* -1 z)) 3)))) (/ (* x z) (pow (+ (* -1 x) (* -1 z)) 2))) y)) (/ 1 (+ (* -1 x) (* -1 z)))) y)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) (pow z 3)) (* y (pow (+ (* -1 x) (* -1 z)) 4))) (* -1 (/ (* (pow x 2) (pow z 2)) (pow (+ (* -1 x) (* -1 z)) 3)))) y)) (/ (* x z) (pow (+ (* -1 x) (* -1 z)) 2))) y)) (/ 1 (+ (* -1 x) (* -1 z)))) y)) |
(* -2 (* (sqrt (* y (+ (* -1 x) (* -1 z)))) (sqrt -1))) |
(* -1 (* y (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))))) |
(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z)))))))))) |
(* -1 (* y (+ (* -1/4 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))) (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))))))) |
(* -1 (* y (* z (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))))) |
(* -1 (* y (+ (* z (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (pow x 2) (sqrt (/ y (pow z 3))))) (* x (sqrt (/ y z))))) (pow y 2))))) |
(* -1 (* y (+ (* -1/2 (* (pow x 3) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* z (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (pow x 2) (sqrt (/ y (pow z 3))))) (* x (sqrt (/ y z))))) (pow y 2)))))) |
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (* z (+ (* -1/4 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ (pow y 3) z)))) (* 1/2 (* (* x (+ (* -1/4 (/ (* (pow x 2) y) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow x 3) (pow z 3)))) (sqrt (* y (pow z 3))))))) y)) (* 1/2 (* (pow x 3) (sqrt (/ y z))))) (pow y 3))) (+ (* z (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (pow x 2) (sqrt (/ y (pow z 3))))) (* x (sqrt (/ y z))))) (pow y 2)))))) |
(* -1 (* y (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))) (* x (sqrt (/ 1 (* (pow y 3) z))))))))) |
(* -1 (* y (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (+ (* -1/2 (* (pow x 3) (sqrt (/ 1 (* (pow y 5) (pow z 3)))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))) (* x (sqrt (/ 1 (* (pow y 3) z)))))))))) |
(* -1 (* y (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ (pow y 3) z)))) (* 1/2 (* (* x (+ (* -1/4 (/ (* (pow x 2) y) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow x 3) (pow z 3)))) (sqrt (* y (pow z 3)))))) y)) (* 1/2 (* (pow x 3) (sqrt (/ y (pow z 3)))))) (pow y 3))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))) (* x (sqrt (/ 1 (* (pow y 3) z)))))))))) |
(* (sqrt (/ 1 (* y (pow z 3)))) (pow (sqrt -1) 2)) |
(+ (* -1/2 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y (pow z 3)))) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 5) (pow z 3)))))) (* (sqrt (/ 1 (* y (pow z 3)))) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (sqrt (/ y (pow z 3))))) (* 1/2 (* (sqrt (/ (pow z 3) y)) (+ (* -1/4 (/ (* (pow x 2) y) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow x 3) (pow z 3)))))) (pow y 3))) (+ (* -1/2 (* x (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y (pow z 3)))) (pow (sqrt -1) 2)))) |
(* -1 (* y (+ (* -1 x) (* -1 z)))) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y)))))) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y)))))) |
(* -1 (* y (+ (* -1 x) (+ (* -1 z) (* -1 (/ (* x z) y)))))) |
(* -1 (* (sqrt (/ y z)) (pow (sqrt -1) 2))) |
(* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))) |
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 1/2 (* x (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)))))) |
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow y 5) z))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (* (pow y 7) z))))) (+ (* 1/2 (* x (sqrt (/ 1 (* (pow y 3) z))))) (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))))))) |
(* 2 (sqrt (* y z))) |
(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z))))) |
(+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z))))) |
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z))))) |
(sqrt (* y z)) |
(+ (sqrt (* y z)) (* 1/2 (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))) |
(+ (sqrt (* y z)) (* x (+ (* -1/8 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z)))))) |
(+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/16 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5))))))))))) |
(* y z) |
(+ (* x (+ y z)) (* y z)) |
(+ (* x (+ y z)) (* y z)) |
(+ (* x (+ y z)) (* y z)) |
z |
(+ x z) |
(+ x z) |
(+ x z) |
(* 2 (sqrt (* y z))) |
(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z))))) |
(+ (* 2 (sqrt (* y z))) (* x (+ (* -1/4 (* (* x (pow (+ y z) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* (sqrt (/ 1 (* y z))) (+ y z))))) |
(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z))))) |
(sqrt (* y z)) |
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(+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/16 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5))))))))))) |
(* y z) |
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(+ (* x (+ y z)) (* y z)) |
(+ (* x (+ y z)) (* y z)) |
(* x y) |
(* x y) |
(* x y) |
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(* 2 (sqrt (* y z))) |
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(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z))))) |
(sqrt (* y z)) |
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(+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/16 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5))))))))))) |
(* y z) |
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(+ (* x (+ y z)) (* y z)) |
(+ (* x (+ y z)) (* y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
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(* 2 (sqrt (* y z))) |
(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z))))) |
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(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z))))) |
(sqrt (* y z)) |
(+ (sqrt (* y z)) (* 1/2 (* (* x (+ y z)) (sqrt (/ 1 (* y z)))))) |
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(+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (+ y z))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/16 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5))))))))))) |
(sqrt (/ 1 (* y z))) |
(+ (sqrt (/ 1 (* y z))) (* -1/2 (* (* x (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z)))) (sqrt (* y z))))) |
(+ (sqrt (/ 1 (* y z))) (* x (+ (* -1/2 (* (sqrt (* y z)) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z))))) (* -1/2 (* (* x (+ (* -1 (/ (* (+ y z) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z)))) (* y z))) (* 1/4 (* y (* z (pow (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z))) 2)))))) (sqrt (* y z))))))) |
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(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* -2 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1))) |
(* -1 (* x (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))) |
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))) |
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))))) |
(* -1 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))))) |
(* (sqrt (/ 1 (* x (+ (* -1 y) (* -1 z))))) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (+ (* -1 y) (* -1 z)) 3)))) (* y (* z (sqrt -1))))) (* (sqrt (/ 1 (* x (+ (* -1 y) (* -1 z))))) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (+ (* -1 y) (* -1 z)) 3)))) (* y (* z (sqrt -1))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (* (sqrt (/ 1 (* x (+ (* -1 y) (* -1 z))))) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ x (pow (+ (* -1 y) (* -1 z)) 5))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (* 1/2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (* (sqrt -1) (+ (* -1/4 (/ (* x (* (pow y 2) (pow z 2))) (pow (+ (* -1 y) (* -1 z)) 3))) (/ (* (pow y 3) (pow z 3)) (pow (+ (* -1 y) (* -1 z)) 4))))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow (+ (* -1 y) (* -1 z)) 3)))) (* y (* z (sqrt -1))))) (* (sqrt (/ 1 (* x (+ (* -1 y) (* -1 z))))) (sqrt -1)))) |
(/ -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (/ (+ (/ 1 (+ (* -1 y) (* -1 z))) (/ (* y z) (* x (pow (+ (* -1 y) (* -1 z)) 2)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 2)) (* x (pow (+ (* -1 y) (* -1 z)) 3)))) (/ (* y z) (pow (+ (* -1 y) (* -1 z)) 2))) x)) (/ 1 (+ (* -1 y) (* -1 z)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 3)) (* x (pow (+ (* -1 y) (* -1 z)) 4))) (* -1 (/ (* (pow y 2) (pow z 2)) (pow (+ (* -1 y) (* -1 z)) 3)))) x)) (/ (* y z) (pow (+ (* -1 y) (* -1 z)) 2))) x)) (/ 1 (+ (* -1 y) (* -1 z)))) x)) |
(* -2 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1))) |
(* -1 (* x (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))) |
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))) |
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))))) |
(* -1 (* x (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 3))) (+ (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (* z (+ (* -1/4 (* (sqrt (/ (pow x 3) z)) (/ (pow y 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow z 3))) (* y (+ (* -1/4 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow y 3) (pow z 3)))))))) x)) (* 1/2 (* (sqrt (/ x z)) (pow y 3)))) (pow x 3))) (+ (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow y 2))) (+ (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) z))) y)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) (pow z 3)))) (pow y 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow y 2))) (+ (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) z))) y))))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ (pow x 3) z)) (/ (pow y 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow z 3))) (* y (+ (* -1/4 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow y 3) (pow z 3))))))) x)) (* 1/2 (* (sqrt (/ x (pow z 3))) (pow y 3)))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (pow y 2))) (+ (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* (pow x 3) z))) y))))))) |
(* (sqrt (/ 1 (* x (pow z 3)))) (pow (sqrt -1) 2)) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) y)) (* (sqrt (/ 1 (* x (pow z 3)))) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) y)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) (pow z 3)))) (pow y 2))) (* (sqrt (/ 1 (* x (pow z 3)))) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* 1/2 (* (sqrt (/ (pow z 3) x)) (+ (* -1/4 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow y 3) (pow z 3)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) y)) (* (sqrt (/ 1 (* x (pow z 3)))) (pow (sqrt -1) 2)))) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) |
(* -1 (* (sqrt (/ x z)) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) z))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))))) |
| Outputs |
|---|
(* 2 (sqrt (* x y))) |
(*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64)) |
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) |
(fma.f64 (*.f64 (+.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) z) (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))) z (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) z) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) z (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))) z (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(sqrt (* x y)) |
(sqrt.f64 (*.f64 y x)) |
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))) (sqrt.f64 (*.f64 y x))) |
(+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y)))))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))))) z (sqrt.f64 (*.f64 y x))) |
(+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) z) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) z (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))))) z (sqrt.f64 (*.f64 y x))) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (+ x y))) |
(fma.f64 (+.f64 z x) y (*.f64 z x)) |
(+ (* x y) (* z (+ x y))) |
(fma.f64 (+.f64 z x) y (*.f64 z x)) |
(+ (* x y) (* z (+ x y))) |
(fma.f64 (+.f64 z x) y (*.f64 z x)) |
x |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(+ x z) |
(+.f64 z x) |
(* 2 (sqrt (* x y))) |
(*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64)) |
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) |
(fma.f64 (*.f64 (+.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) z) (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))) z (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) z) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) z (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))) z (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(sqrt (* x y)) |
(sqrt.f64 (*.f64 y x)) |
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))) (sqrt.f64 (*.f64 y x))) |
(+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y)))))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))))) z (sqrt.f64 (*.f64 y x))) |
(+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) z) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) z (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))))) z (sqrt.f64 (*.f64 y x))) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (+ x y))) |
(fma.f64 (+.f64 z x) y (*.f64 z x)) |
(+ (* x y) (* z (+ x y))) |
(fma.f64 (+.f64 z x) y (*.f64 z x)) |
(+ (* x y) (* z (+ x y))) |
(fma.f64 (+.f64 z x) y (*.f64 z x)) |
(* 2 (sqrt (* x y))) |
(*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64)) |
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) |
(fma.f64 (*.f64 (+.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) z) (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))) z (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) z) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) z (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))) z (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(sqrt (* x y)) |
(sqrt.f64 (*.f64 y x)) |
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))) (sqrt.f64 (*.f64 y x))) |
(+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y)))))) |
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(fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64)) y (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y y)) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x)))))) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* 1/2 (* (sqrt (/ (pow z 3) x)) (+ (* -1/4 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow y 3) (pow z 3)))))) (pow x 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) y)) (* (sqrt (/ 1 (* x (pow z 3)))) (pow (sqrt -1) 2)))) |
(-.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64)) y (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x))))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))))) (*.f64 y y) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) (pow.f64 x #s(literal 3 binary64)))) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(*.f64 (-.f64 (neg.f64 z) y) (neg.f64 x)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) |
(*.f64 (-.f64 (neg.f64 (fma.f64 y (/.f64 z x) z)) y) (neg.f64 x)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) |
(*.f64 (-.f64 (neg.f64 (fma.f64 y (/.f64 z x) z)) y) (neg.f64 x)) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) |
(*.f64 (-.f64 (neg.f64 (fma.f64 y (/.f64 z x) z)) y) (neg.f64 x)) |
(* -1 (* (sqrt (/ x z)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 x z)) #s(literal 1 binary64)) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) z)))) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) #s(literal -1 binary64))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) z)))) (/.f64 (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) z)))) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) #s(literal -1 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) z))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) z))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) z))) y)) (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) z)))) (/.f64 (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) z)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) z)))) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) #s(literal -1 binary64))))) (neg.f64 x)) |
| 4 970× | lower-fma.f32 |
| 4 964× | lower-fma.f64 |
| 4 344× | lower-/.f32 |
| 4 334× | lower-/.f64 |
| 3 836× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 304 |
| 0 | 73 | 282 |
| 1 | 265 | 266 |
| 2 | 1754 | 266 |
| 0 | 8291 | 266 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) |
(sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x))) |
(fma.f64 y (+.f64 z x) (*.f64 z x)) |
(+.f64 z x) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) |
(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x))) |
#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) |
(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))) |
#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)) |
(*.f64 (+.f64 z y) x) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z) |
(fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) |
(*.f64 z x) |
(fma.f64 (+.f64 y x) z (*.f64 y x)) |
(sqrt.f64 (/.f64 (+.f64 y x) z)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (fma.f64 (+.f64 x y) z (*.f64 x y))) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 (+.f64 x y) z (*.f64 x y))) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)))) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (+.f64 x y) z (*.f64 x y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)))))) |
(/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 (neg.f64 x) y)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 (+.f64 x y) z)) (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 x y) z (*.f64 x y))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 (neg.f64 x) y)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 (neg.f64 x) y)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (hypot.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 (+.f64 x y) z)) (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (hypot.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (pow.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 (+.f64 x y) z)) (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 (neg.f64 z) y)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 (neg.f64 z) y)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (hypot.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) (*.f64 (+.f64 z y) x)) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (hypot.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 3/2 binary64))) (pow.f64 (pow.f64 (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) (*.f64 (+.f64 z y) x)) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 z y (*.f64 x (-.f64 y z))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (fma.f64 z y (*.f64 x (-.f64 y z))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (hypot.f64 (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x z) #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (+.f64 x z) y)) (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (hypot.f64 (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x z) #s(literal 3/2 binary64))) (pow.f64 (pow.f64 (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (+.f64 x z) y)) (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (+.f64 x y) z (*.f64 x y))) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (+.f64 x y) z (*.f64 x y))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)))) |
(pow.f64 (*.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) (fma.f64 (+.f64 x y) z (*.f64 x y))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (+.f64 x y) z (*.f64 x y))))) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 x y) z (*.f64 x y))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (+.f64 x y) z (*.f64 (neg.f64 x) y))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 (+.f64 x y) z)) (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (+.f64 z y) x (*.f64 (neg.f64 z) y))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 z y) #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) (*.f64 (+.f64 z y) x)) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 z y (*.f64 x (-.f64 y z)))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x z) #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (+.f64 x z) y)) (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 x z) (*.f64 (+.f64 x z) y)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 z y) (*.f64 (+.f64 z y) x)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 (+.f64 x y) z)))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 z y (*.f64 x (-.f64 y z)))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (+.f64 x z) y)) (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (+.f64 z y) x (*.f64 (neg.f64 z) y))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) (*.f64 (+.f64 z y) x)) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (+.f64 x y) z (*.f64 (neg.f64 x) y))))) |
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(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)))) #s(literal -1 binary64)) |
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(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (fma.f64 z y (*.f64 x (-.f64 y z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) z (*.f64 (neg.f64 x) y)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 (+.f64 x y) z (*.f64 (neg.f64 x) y))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 (+.f64 z y) x (*.f64 (neg.f64 z) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 x z) y) x) z)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 (+.f64 x z) y)) (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 (+.f64 x y) z)) (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 x y) z) x) y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 (+.f64 x y) z)) (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)) (*.f64 (+.f64 z y) (*.f64 x (*.f64 z y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) (*.f64 (+.f64 z y) x)) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 x y) z (*.f64 x y))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x z) (*.f64 (+.f64 x z) y)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z y) (*.f64 (+.f64 z y) x)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x y) (*.f64 (+.f64 x y) z)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) z (*.f64 (neg.f64 x) y))) (-.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 x z) y) x) z))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 (+.f64 x y) z)) (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 x y) z) x) y))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)) (*.f64 (+.f64 z y) (*.f64 x (*.f64 z y))))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 (+.f64 z y) x) x) (/.f64 (*.f64 x (-.f64 y z)) (-.f64 y z)) (*.f64 z y)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal -1 binary64)) (*.f64 z y)) |
(fma.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 x z) (-.f64 (*.f64 x z) (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 z y)) |
(fma.f64 (+.f64 x y) z (*.f64 x y)) |
(fma.f64 (+.f64 z y) x (*.f64 z y)) |
(fma.f64 (+.f64 x z) y (*.f64 x z)) |
(fma.f64 x (+.f64 z y) (*.f64 z y)) |
(fma.f64 x z (*.f64 (+.f64 x z) y)) |
(fma.f64 x y (*.f64 (+.f64 x y) z)) |
(fma.f64 z (+.f64 x y) (*.f64 x y)) |
(fma.f64 z x (*.f64 (+.f64 x z) y)) |
(fma.f64 z y (*.f64 (+.f64 z y) x)) |
(fma.f64 y (+.f64 x z) (*.f64 x z)) |
(fma.f64 y x (*.f64 (+.f64 x y) z)) |
(fma.f64 y z (*.f64 (+.f64 z y) x)) |
(-.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 x z) (*.f64 (+.f64 x z) y))) (/.f64 (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 2 binary64)) (-.f64 (*.f64 x z) (*.f64 (+.f64 x z) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 z y) (*.f64 (+.f64 z y) x))) (/.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)) (-.f64 (*.f64 z y) (*.f64 (+.f64 z y) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 (+.f64 x y) z))) (/.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) (-.f64 (*.f64 x y) (*.f64 (+.f64 x y) z)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) z (*.f64 (neg.f64 x) y)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) z (*.f64 (neg.f64 x) y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 2 binary64)) (fma.f64 z y (*.f64 x (-.f64 y z)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (fma.f64 z y (*.f64 x (-.f64 y z)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)) (fma.f64 (+.f64 z y) x (*.f64 (neg.f64 z) y))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 (+.f64 z y) x (*.f64 (neg.f64 z) y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) (fma.f64 (+.f64 x y) z (*.f64 (neg.f64 x) y))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 (+.f64 x y) z (*.f64 (neg.f64 x) y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x z) y) #s(literal 2 binary64)) (fma.f64 z y (*.f64 x (-.f64 y z)))) (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (fma.f64 z y (*.f64 x (-.f64 y z))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)) (fma.f64 (+.f64 z y) x (*.f64 (neg.f64 z) y))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (fma.f64 (+.f64 z y) x (*.f64 (neg.f64 z) y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) (fma.f64 (+.f64 x y) z (*.f64 (neg.f64 x) y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 (+.f64 x y) z (*.f64 (neg.f64 x) y)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)))) |
(+.f64 (*.f64 (+.f64 x z) y) (*.f64 x z)) |
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 x y)) |
(+.f64 (*.f64 x y) (*.f64 (+.f64 x y) z)) |
(+.f64 (*.f64 z y) (*.f64 (+.f64 z y) x)) |
(+.f64 (*.f64 (+.f64 z y) x) (*.f64 z y)) |
(+.f64 (*.f64 x z) (*.f64 (+.f64 x z) y)) |
(*.f64 (pow.f64 (/.f64 z (+.f64 x y)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 z (+.f64 x y)) #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (+.f64 x y))) (sqrt.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (+.f64 x y))) (pow.f64 (pow.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 x y))) |
(*.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 z #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 x y) z))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (+.f64 x y) z) (/.f64 (+.f64 x y) z)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 z (+.f64 x y)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 z (+.f64 x y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z (+.f64 x y)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (+.f64 x y) z) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 x y)))) (neg.f64 (neg.f64 (sqrt.f64 z)))) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (+.f64 x y)))) (neg.f64 (sqrt.f64 (neg.f64 z)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 z #s(literal -1 binary64)))) (sqrt.f64 (-.f64 y x))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 y x) z))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) z))) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (+.f64 x y)))) (sqrt.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) (neg.f64 (sqrt.f64 z))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (sqrt.f64 (*.f64 z (-.f64 y x)))) |
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 (*.f64 z (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 x y))) (sqrt.f64 (neg.f64 z))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 z (+.f64 x y))))) |
(/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 z (+.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 z (+.f64 x y))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 x y)))) |
(sqrt.f64 (/.f64 (+.f64 x y) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) z)) #s(literal 1/2 binary64))) |
Compiled 47 284 to 4 150 computations (91.2% saved)
31 alts after pruning (29 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 504 | 22 | 1 526 |
| Fresh | 8 | 7 | 15 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 515 | 31 | 1 546 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 69.4% | (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64))) |
| 34.4% | (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 (+.f64 z y) x)))))) | |
| 3.7% | (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x)))))) | |
| 32.8% | (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 y x)))))) | |
| 28.3% | (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z (*.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 z y))) x))))) | |
| 45.8% | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 (*.f64 x x) y) (/.f64 y (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z)))) | |
| ▶ | 44.7% | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z)))) |
| 38.5% | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(approx (+ (* x y) (* x z)) (*.f64 z x)) (*.f64 y z)))) | |
| 34.8% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z))))) | |
| 26.1% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) x)))))) | |
| ✓ | 34.9% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) |
| 38.6% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))) | |
| 36.3% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))) | |
| ▶ | 3.8% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) |
| ✓ | 33.4% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) |
| ▶ | 24.0% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z))))) |
| 31.3% | (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 x y))) #s(literal 1/2 binary64)))) | |
| 30.6% | #s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x))) (*.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y)) | |
| 3.7% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) | |
| 37.4% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) (*.f64 #s(literal 4 binary64) (/.f64 (+.f64 x y) z))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))) (*.f64 x y) (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))))) | |
| 39.6% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (pow.f64 (/.f64 z (+.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) z)) | |
| 44.6% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64))) z)) | |
| 27.6% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 z #s(literal -1 binary64)))) (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64))) z)) | |
| 39.5% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 x y)))) #s(literal 2 binary64))) z)) | |
| 2.4% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) y (*.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z)) | |
| ▶ | 32.5% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) z)) |
| 2.4% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z)) | |
| 46.1% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)) | |
| 44.4% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z)) | |
| 2.6% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))) | |
| 2.7% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (*.f64 (*.f64 (neg.f64 z) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) #s(literal -1 binary64)) #s(literal 2 binary64)))))) |
Compiled 1 326 to 823 computations (37.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))) | |
| cost-diff | 128 | (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z)) | |
| cost-diff | 2112 | (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) | |
| cost-diff | 6848 | (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) | |
| cost-diff | 0 | (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) z) | |
| cost-diff | 0 | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) z)) | |
| cost-diff | 0 | #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z)))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z))))) | |
| cost-diff | 896 | (*.f64 (fma.f64 x (/.f64 y z) x) z) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (fma.f64 (+.f64 x y) z (*.f64 x y)) | |
| cost-diff | 0 | (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64))) |
| 9 996× | lower-fma.f32 |
| 9 988× | lower-fma.f64 |
| 3 938× | lower-*.f32 |
| 3 908× | lower-*.f64 |
| 2 402× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 637 |
| 0 | 112 | 623 |
| 1 | 189 | 616 |
| 2 | 355 | 608 |
| 3 | 914 | 569 |
| 4 | 3066 | 546 |
| 5 | 7175 | 546 |
| 0 | 8206 | 540 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64))) |
#s(literal 2 binary64) |
(pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64)) |
(fma.f64 (+.f64 x y) z (*.f64 x y)) |
(+.f64 x y) |
x |
y |
z |
(*.f64 x y) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))) |
#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)) |
(*.f64 z x) |
z |
x |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z))))) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z)))) |
#s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z))) |
#s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z)) |
(*.f64 (fma.f64 x (/.f64 y z) x) z) |
(fma.f64 x (/.f64 y z) x) |
x |
(/.f64 y z) |
y |
z |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) z)) |
(*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) z) |
#s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) y) |
(pow.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
y |
x |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z y)) |
(*.f64 z y) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z)))) |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z))) |
(+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) |
(*.f64 x x) |
x |
(/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) |
(*.f64 y y) |
y |
(*.f64 (-.f64 y z) x) |
(-.f64 y z) |
z |
(neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))) |
(/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) |
(/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) |
(pow.f64 (*.f64 z x) #s(literal 2 binary64)) |
(*.f64 z x) |
(*.f64 y z) |
| Outputs |
|---|
(/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 z x) y (*.f64 z x)) #s(literal -1/2 binary64))) |
#s(literal 2 binary64) |
(pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64)) |
(pow.f64 (fma.f64 (+.f64 z x) y (*.f64 z x)) #s(literal -1/2 binary64)) |
(fma.f64 (+.f64 x y) z (*.f64 x y)) |
(fma.f64 (+.f64 z x) y (*.f64 z x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
z |
(*.f64 x y) |
(*.f64 y x) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) |
(*.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))) |
#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)) |
(*.f64 z x) |
z |
x |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z))))) |
(*.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (+.f64 z y) x)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z)))) |
(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (+.f64 z y) x)))) |
#s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z))) |
#s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (+.f64 z y) x))) |
#s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z)) |
#s(approx (* (+ z y) x) (*.f64 (+.f64 z y) x)) |
(*.f64 (fma.f64 x (/.f64 y z) x) z) |
(*.f64 (+.f64 z y) x) |
(fma.f64 x (/.f64 y z) x) |
(fma.f64 (/.f64 y z) x x) |
x |
(/.f64 y z) |
y |
z |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) z)) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x)) y)) z)) |
(*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) z) |
(*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x)) y)) z) |
#s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) |
#s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x)) y)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x)) y) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) y) |
(pow.f64 z #s(literal 3 binary64)) |
z |
#s(literal 3 binary64) |
y |
x |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) |
(/.f64 #s(literal 1 binary64) (*.f64 z y)) |
(*.f64 z y) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z)))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 x (-.f64 y z)) (fma.f64 (neg.f64 z) z (*.f64 y y)) (*.f64 z y))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z))) |
(sqrt.f64 (fma.f64 (/.f64 x (-.f64 y z)) (fma.f64 (neg.f64 z) z (*.f64 y y)) (*.f64 z y))) |
(+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z)) |
(fma.f64 (/.f64 x (-.f64 y z)) (fma.f64 (neg.f64 z) z (*.f64 y y)) (*.f64 z y)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) |
(*.f64 (/.f64 x (-.f64 y z)) (fma.f64 (neg.f64 z) z (*.f64 y y))) |
(*.f64 x x) |
x |
(/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) |
(*.f64 (/.f64 (/.f64 y (-.f64 y z)) x) y) |
(*.f64 y y) |
y |
(*.f64 (-.f64 y z) x) |
(-.f64 y z) |
z |
(neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))) |
(*.f64 (*.f64 (/.f64 z (-.f64 z y)) x) z) |
(/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) |
(*.f64 (*.f64 (/.f64 z (-.f64 y z)) z) x) |
(/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) |
(*.f64 (*.f64 z z) x) |
(pow.f64 (*.f64 z x) #s(literal 2 binary64)) |
(*.f64 z x) |
(*.f64 y z) |
(*.f64 z y) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.981346082452077 | (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) | |
| accuracy | 9.325411247139769 | (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) | |
| accuracy | 14.252428251170217 | (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z))) | |
| accuracy | 15.764052110187395 | (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) | |
| accuracy | 10.348524860321275 | #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) | |
| accuracy | 12.68648373569479 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) | |
| accuracy | 13.000791332569788 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) | |
| accuracy | 16.31436507071327 | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) z)) | |
| accuracy | 0.02734375 | (fma.f64 x (/.f64 y z) x) | |
| accuracy | 2.6132805921398066 | (*.f64 (fma.f64 x (/.f64 y z) x) z) | |
| accuracy | 14.252428251170217 | (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z)))) | |
| accuracy | 29.103840265652167 | #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z))) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) | |
| accuracy | 14.252428251170217 | (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))) | |
| accuracy | 43.07101166776937 | #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.2109375 | (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64))) | |
| accuracy | 0.5195257452111204 | (fma.f64 (+.f64 x y) z (*.f64 x y)) | |
| accuracy | 14.273634072031113 | (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64)) |
| 146.0ms | 195× | 0 | valid |
| 27.0ms | 61× | 0 | invalid |
Compiled 495 to 64 computations (87.1% saved)
ival-add: 52.0ms (36.5% of total)ival-mult: 43.0ms (30.2% of total)ival-div: 17.0ms (11.9% of total)ival-sqrt: 15.0ms (10.5% of total)ival-pow: 10.0ms (7% of total)ival-pow2: 3.0ms (2.1% of total)ival-sub: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 x y) z (*.f64 x y)) (patch (fma.f64 (+.f64 x y) z (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))) (patch (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)) (patch #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 x (/.f64 y z) x) z) (patch (*.f64 (fma.f64 x (/.f64 y z) x) z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z))))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z)))) (patch (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z))) (patch #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) z)) (patch #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) z) (patch (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) (patch #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y) (patch (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (patch (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (patch (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z)) (patch (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))) (patch (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (/.f64 y z) x) (patch (fma.f64 x (/.f64 y z) x) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (patch (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z))) (patch (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) (patch (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2 (sqrt (* x y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ 1 (* x y))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (* x y)) (* z (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))))))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (/ 1 (* x y))) (* z (+ (* -1/2 (* (sqrt (* x y)) (* z (+ (* -1 (/ (* (+ x y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))) (* x y))) (* 1/4 (* x (* y (pow (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) 2)))))))) (* -1/2 (* (sqrt (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))))))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (/ 1 (* x y))) (* z (+ (* -1/2 (* (sqrt (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))))) (* z (+ (* -1/2 (* (sqrt (* x y)) (* z (+ (* 1/2 (* x (* y (* (+ (* -1 (/ (* (+ x y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))) (* x y))) (* 1/4 (* x (* y (pow (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) 2))))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))))))) (/ (* (pow (+ x y) 2) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))) (* (pow x 2) (pow y 2))))))) (* -1/2 (* (sqrt (* x y)) (+ (* -1 (/ (* (+ x y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))) (* x y))) (* 1/4 (* x (* y (pow (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) 2)))))))))))) (taylor 0 z) (#s(alt (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64)) (patch (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 z) (#s(alt (fma.f64 (+.f64 x y) z (*.f64 x y)) (patch (fma.f64 (+.f64 x y) z (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 x y) z (*.f64 x y)) (patch (fma.f64 (+.f64 x y) z (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 x y) z (*.f64 x y)) (patch (fma.f64 (+.f64 x y) z (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x y) (* z (+ x y))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 x y) z (*.f64 x y)) (patch (fma.f64 (+.f64 x y) z (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (sqrt (* x y))) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y))))) (taylor 0 z) (#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (* x y)) (taylor 0 z) (#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))) (patch (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y))))) (taylor 0 z) (#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))) (patch (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y)))))) (taylor 0 z) (#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))) (patch (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z))))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) x)) (sqrt -1)))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z))) (patch (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z))))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) x)) (sqrt -1))))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z))) (patch (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (pow z 2)) (- y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) (patch (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (pow z 2)) (- y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) (patch (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (pow z 2)) (- y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) (patch (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (pow z 2)) (- y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) (patch (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | y | @ | -inf | ((/ 2 (pow (+ (* (+ x y) z) (* x y)) -1/2)) (pow (+ (* (+ x y) z) (* x y)) -1/2) (+ (* (+ x y) z) (* x y)) (+ x y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z x) (* (+ (* x (/ y z)) x) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (+ (* (sqrt (/ 1 (* (pow z 3) y))) x) (* (sqrt (/ 1 (* z y))) 2)) y) (/ (pow (* z x) 2) x) (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (neg (/ (/ (pow (* z x) 2) x) (- y z))) (* x y) (+ (* x (/ y z)) x) (sqrt (/ 1 (* z y))) (sqrt (/ 1 (* (pow z 3) y))) (/ (* y y) (* (- y z) x)) (sqrt (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z))) (/ (/ (pow (* z x) 2) x) (- y z))) |
| 14.0ms | z | @ | inf | ((/ 2 (pow (+ (* (+ x y) z) (* x y)) -1/2)) (pow (+ (* (+ x y) z) (* x y)) -1/2) (+ (* (+ x y) z) (* x y)) (+ x y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z x) (* (+ (* x (/ y z)) x) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (+ (* (sqrt (/ 1 (* (pow z 3) y))) x) (* (sqrt (/ 1 (* z y))) 2)) y) (/ (pow (* z x) 2) x) (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (neg (/ (/ (pow (* z x) 2) x) (- y z))) (* x y) (+ (* x (/ y z)) x) (sqrt (/ 1 (* z y))) (sqrt (/ 1 (* (pow z 3) y))) (/ (* y y) (* (- y z) x)) (sqrt (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z))) (/ (/ (pow (* z x) 2) x) (- y z))) |
| 9.0ms | y | @ | 0 | ((/ 2 (pow (+ (* (+ x y) z) (* x y)) -1/2)) (pow (+ (* (+ x y) z) (* x y)) -1/2) (+ (* (+ x y) z) (* x y)) (+ x y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z x) (* (+ (* x (/ y z)) x) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (+ (* (sqrt (/ 1 (* (pow z 3) y))) x) (* (sqrt (/ 1 (* z y))) 2)) y) (/ (pow (* z x) 2) x) (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (neg (/ (/ (pow (* z x) 2) x) (- y z))) (* x y) (+ (* x (/ y z)) x) (sqrt (/ 1 (* z y))) (sqrt (/ 1 (* (pow z 3) y))) (/ (* y y) (* (- y z) x)) (sqrt (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z))) (/ (/ (pow (* z x) 2) x) (- y z))) |
| 8.0ms | z | @ | 0 | ((/ 2 (pow (+ (* (+ x y) z) (* x y)) -1/2)) (pow (+ (* (+ x y) z) (* x y)) -1/2) (+ (* (+ x y) z) (* x y)) (+ x y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z x) (* (+ (* x (/ y z)) x) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (+ (* (sqrt (/ 1 (* (pow z 3) y))) x) (* (sqrt (/ 1 (* z y))) 2)) y) (/ (pow (* z x) 2) x) (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (neg (/ (/ (pow (* z x) 2) x) (- y z))) (* x y) (+ (* x (/ y z)) x) (sqrt (/ 1 (* z y))) (sqrt (/ 1 (* (pow z 3) y))) (/ (* y y) (* (- y z) x)) (sqrt (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z))) (/ (/ (pow (* z x) 2) x) (- y z))) |
| 8.0ms | x | @ | inf | ((/ 2 (pow (+ (* (+ x y) z) (* x y)) -1/2)) (pow (+ (* (+ x y) z) (* x y)) -1/2) (+ (* (+ x y) z) (* x y)) (+ x y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* z x) (* (+ (* x (/ y z)) x) z) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (* (+ (* (sqrt (/ 1 (* (pow z 3) y))) x) (* (sqrt (/ 1 (* z y))) 2)) y) (/ (pow (* z x) 2) x) (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (neg (/ (/ (pow (* z x) 2) x) (- y z))) (* x y) (+ (* x (/ y z)) x) (sqrt (/ 1 (* z y))) (sqrt (/ 1 (* (pow z 3) y))) (/ (* y y) (* (- y z) x)) (sqrt (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z))) (/ (/ (pow (* z x) 2) x) (- y z))) |
| 1× | egg-herbie |
| 7 994× | lower-*.f64 |
| 7 994× | lower-*.f32 |
| 6 344× | lower-fma.f64 |
| 6 344× | lower-fma.f32 |
| 3 580× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1835 | 21831 |
| 1 | 6277 | 20959 |
| 0 | 8415 | 20161 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (sqrt (* x y))) |
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) |
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(sqrt (/ 1 (* x y))) |
(+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (* x y)) (* z (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))))))) |
(+ (sqrt (/ 1 (* x y))) (* z (+ (* -1/2 (* (sqrt (* x y)) (* z (+ (* -1 (/ (* (+ x y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))) (* x y))) (* 1/4 (* x (* y (pow (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) 2)))))))) (* -1/2 (* (sqrt (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))))))) |
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(* x y) |
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(* x y) |
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(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x y) |
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(* (* x y) (sqrt (/ 1 (* z (+ x y))))) |
(/ (+ (* 2 (sqrt (* (pow z 3) (+ x y)))) (* (* x y) (sqrt (/ z (+ x y))))) z) |
(/ (+ (* 2 (sqrt (* (pow z 3) (+ x y)))) (* (* x y) (sqrt (/ z (+ x y))))) z) |
(/ (+ (* 2 (sqrt (* (pow z 3) (+ x y)))) (* (* x y) (sqrt (/ z (+ x y))))) z) |
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(* x (sqrt (/ y (pow z 3)))) |
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(/ (* x y) z) |
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(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))) |
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(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))) |
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(* -1 (* z (- (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* x (pow y 2))) z)) (* x y)) z))) x))) |
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(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z)) x))) |
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(* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)) |
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 5) (* x z)) (* -1 (/ (pow y 4) x))) z)) (/ (pow y 3) x)) z)) (/ (pow y 2) x)) z)) |
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(* -1 (* z (+ (* -1/2 (* (sqrt (/ 1 (* (pow z 5) (- (* -1 y) x)))) (* (sqrt -1) (+ (* -1 (* x (pow y 2))) (* x (pow y 2)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (- (* -1 y) x)))))) (* (sqrt (/ (- (* -1 y) x) z)) (sqrt -1)))))) |
(* -1 (* z (+ (* -1 (/ (+ (* 1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ z (pow (- (* -1 y) x) 3))))) (* 1/2 (* (sqrt (/ z (- (* -1 y) x))) (* (sqrt -1) (+ (* -1 (* x (pow y 2))) (* x (pow y 2))))))) (pow z 3))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (- (* -1 y) x)))))) (* (sqrt (/ (- (* -1 y) x) z)) (sqrt -1)))))) |
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(* 2 (sqrt (* x z))) |
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(* -1 (* y (+ (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (* y (pow z 3)))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ (pow y 3) z)))) (* 1/2 (* (* x (+ (* -1/4 (/ (* (pow x 2) y) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow x 3) (pow z 3)))) (sqrt (* y (pow z 3)))))) y)) (* 1/2 (* (pow x 3) (sqrt (/ y (pow z 3)))))) (pow y 3))) (+ (* 1/2 (* (pow x 2) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (+ (* 2 (* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2))) (* x (sqrt (/ 1 (* (pow y 3) z)))))))))) |
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(* x y) |
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(* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)) |
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(* (sqrt (/ 1 (* y z))) (pow (sqrt -1) 2)) |
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(* (sqrt (/ 1 (* y (pow z 3)))) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 (* y (pow z 3)))) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 (* y (pow z 3)))) (pow (sqrt -1) 2)) |
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(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1)))))) |
(* -1 (* y (+ (* -1/8 (* (* (pow x 2) (* (pow z 2) (sqrt -1))) (sqrt (/ 1 (* (pow y 5) (pow (+ (* -1 x) (* -1 z)) 3)))))) (+ (* 1/16 (* (* (pow x 3) (* (pow z 3) (sqrt -1))) (sqrt (/ 1 (* (pow y 7) (pow (+ (* -1 x) (* -1 z)) 5)))))) (+ (* 1/2 (* (* x (* z (sqrt -1))) (sqrt (/ 1 (* (pow y 3) (+ (* -1 x) (* -1 z))))))) (* (sqrt (/ (+ (* -1 x) (* -1 z)) y)) (sqrt -1))))))) |
(/ (* x (pow z 2)) y) |
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(* -1 (/ (+ (* -1 (* x (pow z 2))) (* -1 (/ (+ (* x (pow z 3)) (/ (* x (pow z 4)) y)) y))) y)) |
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(+ (sqrt (/ 1 (* y z))) (* x (+ (* -1/2 (* (sqrt (* y z)) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z))))) (* -1/2 (* (* x (+ (* -1 (/ (* (+ y z) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z)))) (* y z))) (* 1/4 (* y (* z (pow (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z))) 2)))))) (sqrt (* y z))))))) |
(+ (sqrt (/ 1 (* y z))) (* x (+ (* -1/2 (* (sqrt (* y z)) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z))))) (* x (+ (* -1/2 (* (sqrt (* y z)) (+ (* -1 (/ (* (+ y z) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z)))) (* y z))) (* 1/4 (* y (* z (pow (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z))) 2))))))) (* -1/2 (* (* x (+ (* 1/2 (* y (* z (* (+ (* -1 (/ (* (+ y z) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z)))) (* y z))) (* 1/4 (* y (* z (pow (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z))) 2))))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z))))))) (/ (* (pow (+ y z) 2) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 2) z)))) (* (pow y 2) (pow z 2))))) (sqrt (* y z))))))))) |
(* y z) |
(+ (* x (+ y z)) (* y z)) |
(+ (* x (+ y z)) (* y z)) |
(+ (* x (+ y z)) (* y z)) |
y |
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(+ x y) |
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(* 2 (sqrt (* y z))) |
(+ (* 2 (sqrt (* y z))) (* (* x (+ y z)) (sqrt (/ 1 (* y z))))) |
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(+ (* 2 (sqrt (* y z))) (* x (+ (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (+ y z) 2))) (* 1/8 (* (* x (pow (+ y z) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5)))))))) (* (sqrt (/ 1 (* y z))) (+ y z))))) |
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(+ (* 2 (sqrt (/ y z))) (* x (+ (sqrt (/ 1 (* y z))) (+ (sqrt (/ y (pow z 3))) (* x (+ (* -1/2 (sqrt (/ 1 (* y (pow z 3))))) (+ (* -1/4 (sqrt (/ 1 (* (pow y 3) z)))) (* x (+ (* 1/8 (sqrt (/ 1 (* (pow y 5) z)))) (* 3/8 (sqrt (/ 1 (* (pow y 3) (pow z 3)))))))))))))) |
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(+ (* 2 (sqrt (/ y z))) (* x (sqrt (/ y (pow z 3))))) |
(+ (* 2 (sqrt (/ y z))) (* x (sqrt (/ y (pow z 3))))) |
(+ (* 2 (sqrt (/ y z))) (* x (sqrt (/ y (pow z 3))))) |
(* x (pow z 2)) |
(* x (pow z 2)) |
(* x (pow z 2)) |
(* x (pow z 2)) |
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(* x y) |
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(sqrt (* y z)) |
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(+ (sqrt (* y z)) (* x (+ (* -1/8 (* (* x (pow (- (/ (pow y 2) (- y z)) (/ (pow z 2) (- y z))) 2)) (sqrt (/ 1 (* (pow y 3) (pow z 3)))))) (* 1/2 (* (sqrt (/ 1 (* y z))) (- (/ (pow y 2) (- y z)) (/ (pow z 2) (- y z)))))))) |
(+ (sqrt (* y z)) (* x (+ (* 1/2 (* (sqrt (/ 1 (* y z))) (- (/ (pow y 2) (- y z)) (/ (pow z 2) (- y z))))) (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow y 3) (pow z 3)))) (pow (- (/ (pow y 2) (- y z)) (/ (pow z 2) (- y z))) 2))) (* 1/16 (* (* x (pow (- (/ (pow y 2) (- y z)) (/ (pow z 2) (- y z))) 3)) (sqrt (/ 1 (* (pow y 5) (pow z 5))))))))))) |
(/ (* x (pow z 2)) (- y z)) |
(/ (* x (pow z 2)) (- y z)) |
(/ (* x (pow z 2)) (- y z)) |
(/ (* x (pow z 2)) (- y z)) |
(* 2 (sqrt (* x (+ y z)))) |
(* x (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))) |
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))) |
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(* -1 (* x (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* -1 (/ (pow y 2) (- y z)))) (* -1 (/ (pow z 2) (- y z)))))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* -1 (/ (pow y 2) (- y z)))) (* -1 (/ (pow z 2) (- y z)))))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* -1 (/ (pow y 2) (- y z)))) (* -1 (/ (pow z 2) (- y z)))))) |
(* -1 (/ (* x (pow z 2)) (- y z))) |
(* -1 (/ (* x (pow z 2)) (- y z))) |
(* -1 (/ (* x (pow z 2)) (- y z))) |
(* -1 (/ (* x (pow z 2)) (- y z))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(/ (pow y 2) (* x (- y z))) |
(/ (pow y 2) (* x (- y z))) |
(/ (pow y 2) (* x (- y z))) |
(/ (pow y 2) (* x (- y z))) |
(* -1 (* (sqrt (* x (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))))) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z))))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z))))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z))))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) x)) (sqrt -1))))))) |
(/ (* x (pow z 2)) (- y z)) |
(/ (* x (pow z 2)) (- y z)) |
(/ (* x (pow z 2)) (- y z)) |
(/ (* x (pow z 2)) (- y z)) |
| Outputs |
|---|
(* 2 (sqrt (* x y))) |
(*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64)) |
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) |
(fma.f64 (*.f64 (+.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) z) (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))) z (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) z))) z (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))) z (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(sqrt (/ 1 (* x y))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(+ (sqrt (/ 1 (* x y))) (* -1/2 (* (sqrt (* x y)) (* z (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))))))) |
(fma.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) z) (sqrt.f64 (*.f64 y x))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))) |
(+ (sqrt (/ 1 (* x y))) (* z (+ (* -1/2 (* (sqrt (* x y)) (* z (+ (* -1 (/ (* (+ x y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))) (* x y))) (* 1/4 (* x (* y (pow (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) 2)))))))) (* -1/2 (* (sqrt (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (*.f64 y x)) z) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) #s(literal 2 binary64)) y) (*.f64 (-.f64 (neg.f64 y) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) (*.f64 y x)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) (sqrt.f64 (*.f64 y x))))) z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))) |
(+ (sqrt (/ 1 (* x y))) (* z (+ (* -1/2 (* (sqrt (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))))) (* z (+ (* -1/2 (* (sqrt (* x y)) (* z (+ (* 1/2 (* x (* y (* (+ (* -1 (/ (* (+ x y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))) (* x y))) (* 1/4 (* x (* y (pow (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) 2))))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))))))) (/ (* (pow (+ x y) 2) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))) (* (pow x 2) (pow y 2))))))) (* -1/2 (* (sqrt (* x y)) (+ (* -1 (/ (* (+ x y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y)))) (* x y))) (* 1/4 (* x (* y (pow (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) y))) 2)))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (*.f64 y x)) z) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 y (fma.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) #s(literal 2 binary64)) y) (*.f64 (-.f64 (neg.f64 y) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) (*.f64 y x))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x)))) (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) (*.f64 x x)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 y y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) #s(literal 2 binary64)) y) (*.f64 (-.f64 (neg.f64 y) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) (*.f64 y x)))) (sqrt.f64 (*.f64 y x))))) z (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 y x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))))) z (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (+ x y))) |
(fma.f64 (+.f64 y x) z (*.f64 y x)) |
(+ (* x y) (* z (+ x y))) |
(fma.f64 (+.f64 y x) z (*.f64 y x)) |
(+ (* x y) (* z (+ x y))) |
(fma.f64 (+.f64 y x) z (*.f64 y x)) |
(* 2 (sqrt (* x y))) |
(*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64)) |
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) |
(fma.f64 (*.f64 (+.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) z) (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))) z (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) z))) z (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))) z (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(sqrt (* x y)) |
(sqrt.f64 (*.f64 y x)) |
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))) (sqrt.f64 (*.f64 y x))) |
(+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y)))))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))))) z (sqrt.f64 (*.f64 y x))) |
(+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) z) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) z (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))))) z (sqrt.f64 (*.f64 y x))) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (+ x y))) |
(fma.f64 (+.f64 y x) z (*.f64 y x)) |
(+ (* x y) (* z (+ x y))) |
(fma.f64 (+.f64 y x) z (*.f64 y x)) |
(+ (* x y) (* z (+ x y))) |
(fma.f64 (+.f64 y x) z (*.f64 y x)) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(* 2 (sqrt (* x y))) |
(*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64)) |
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) |
(fma.f64 (*.f64 (+.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) z) (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))) z (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) z))) z (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))) z (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(sqrt (* x y)) |
(sqrt.f64 (*.f64 y x)) |
(+ (sqrt (* x y)) (* 1/2 (* (sqrt (/ 1 (* x y))) (* z (+ x y))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))) (sqrt.f64 (*.f64 y x))) |
(+ (sqrt (* x y)) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y)))))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) z) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))))) z (sqrt.f64 (*.f64 y x))) |
(+ (sqrt (* x y)) (* z (+ (* 1/2 (* (sqrt (/ 1 (* x y))) (+ x y))) (* z (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/16 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) z) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) z (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))))) z (sqrt.f64 (*.f64 y x))) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (+ x y))) |
(fma.f64 (+.f64 y x) z (*.f64 y x)) |
(+ (* x y) (* z (+ x y))) |
(fma.f64 (+.f64 y x) z (*.f64 y x)) |
(+ (* x y) (* z (+ x y))) |
(fma.f64 (+.f64 y x) z (*.f64 y x)) |
(* 2 (sqrt (* x y))) |
(*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64)) |
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (+ x y)))) |
(fma.f64 (*.f64 (+.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (* z (pow (+ x y) 2)))) (* (sqrt (/ 1 (* x y))) (+ x y))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) z) (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))) z (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(+ (* 2 (sqrt (* x y))) (* z (+ (* z (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 3) (pow y 3)))) (pow (+ x y) 2))) (* 1/8 (* (sqrt (/ 1 (* (pow x 5) (pow y 5)))) (* z (pow (+ x y) 3)))))) (* (sqrt (/ 1 (* x y))) (+ x y))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 5 binary64))))) (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) z))) z (*.f64 (+.f64 y x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))) z (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(* (* x y) (sqrt (/ 1 (* z (+ x y))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) z))) (*.f64 y x)) |
(/ (+ (* 2 (sqrt (* (pow z 3) (+ x y)))) (* (* x y) (sqrt (/ z (+ x y))))) z) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x))) #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z (+.f64 y x))) (*.f64 y x))) z) |
(/ (+ (* 2 (sqrt (* (pow z 3) (+ x y)))) (* (* x y) (sqrt (/ z (+ x y))))) z) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x))) #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z (+.f64 y x))) (*.f64 y x))) z) |
(/ (+ (* 2 (sqrt (* (pow z 3) (+ x y)))) (* (* x y) (sqrt (/ z (+ x y))))) z) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 y x))) #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 z (+.f64 y x))) (*.f64 y x))) z) |
(* (* x y) (sqrt (/ 1 (* (pow z 3) (+ x y))))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))) (*.f64 y x)) |
(/ (+ (* 2 (sqrt (* (pow z 3) (+ x y)))) (* (* x y) (sqrt (/ z (+ x y))))) (pow z 2)) |
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(*.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 y z)) #s(literal -1 binary64) (/.f64 (*.f64 z z) (-.f64 y z))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 y z)) #s(literal -1 binary64) (/.f64 (*.f64 z z) (-.f64 y z))) (neg.f64 x)) |
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* -1 (/ (pow y 2) (- y z)))) (* -1 (/ (pow z 2) (- y z)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 z x) (/.f64 (*.f64 y y) (-.f64 y z))) (/.f64 (*.f64 z z) (-.f64 y z))) (neg.f64 x)) |
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* -1 (/ (pow y 2) (- y z)))) (* -1 (/ (pow z 2) (- y z)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 z x) (/.f64 (*.f64 y y) (-.f64 y z))) (/.f64 (*.f64 z z) (-.f64 y z))) (neg.f64 x)) |
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* -1 (/ (pow y 2) (- y z)))) (* -1 (/ (pow z 2) (- y z)))))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 y (/.f64 z x) (/.f64 (*.f64 y y) (-.f64 y z))) (/.f64 (*.f64 z z) (-.f64 y z))) (neg.f64 x)) |
(* -1 (/ (* x (pow z 2)) (- y z))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 z z) (-.f64 y z))) |
(* -1 (/ (* x (pow z 2)) (- y z))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 z z) (-.f64 y z))) |
(* -1 (/ (* x (pow z 2)) (- y z))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 z z) (-.f64 y z))) |
(* -1 (/ (* x (pow z 2)) (- y z))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 z z) (-.f64 y z))) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(/ (pow y 2) (* x (- y z))) |
(*.f64 (/.f64 y (-.f64 y z)) (/.f64 y x)) |
(/ (pow y 2) (* x (- y z))) |
(*.f64 (/.f64 y (-.f64 y z)) (/.f64 y x)) |
(/ (pow y 2) (* x (- y z))) |
(*.f64 (/.f64 y (-.f64 y z)) (/.f64 y x)) |
(/ (pow y 2) (* x (- y z))) |
(*.f64 (/.f64 y (-.f64 y z)) (/.f64 y x)) |
(* -1 (* (sqrt (* x (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))))) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 y z)) #s(literal -1 binary64) (/.f64 (*.f64 z z) (-.f64 y z))) x))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z))))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) x)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y z)) #s(literal -1 binary64) (/.f64 (*.f64 z z) (-.f64 y z)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (*.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 y z)) #s(literal -1 binary64) (/.f64 (*.f64 z z) (-.f64 y z))) x)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z))))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) x)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 y z)) #s(literal -1 binary64) (/.f64 (*.f64 z z) (-.f64 y z))) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y z)) #s(literal -1 binary64) (/.f64 (*.f64 z z) (-.f64 y z)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (*.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 y z)) #s(literal -1 binary64) (/.f64 (*.f64 z z) (-.f64 y z))) x)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z))))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) x)) (sqrt -1))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 y z)) #s(literal -1 binary64) (/.f64 (*.f64 z z) (-.f64 y z))) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 y z)) #s(literal -1 binary64) (/.f64 (*.f64 z z) (-.f64 y z))) #s(literal 5 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y z)) #s(literal -1 binary64) (/.f64 (*.f64 z z) (-.f64 y z)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y) (*.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 (*.f64 y y) (-.f64 y z)) #s(literal -1 binary64) (/.f64 (*.f64 z z) (-.f64 y z))) x)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 x)) |
(/ (* x (pow z 2)) (- y z)) |
(/.f64 (*.f64 (*.f64 z z) x) (-.f64 y z)) |
(/ (* x (pow z 2)) (- y z)) |
(/.f64 (*.f64 (*.f64 z z) x) (-.f64 y z)) |
(/ (* x (pow z 2)) (- y z)) |
(/.f64 (*.f64 (*.f64 z z) x) (-.f64 y z)) |
(/ (* x (pow z 2)) (- y z)) |
(/.f64 (*.f64 (*.f64 z z) x) (-.f64 y z)) |
| 3 758× | lower-*.f32 |
| 3 730× | lower-*.f64 |
| 3 632× | lower-/.f32 |
| 3 618× | lower-/.f64 |
| 3 216× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 492 |
| 0 | 110 | 457 |
| 1 | 421 | 383 |
| 2 | 3120 | 377 |
| 0 | 8446 | 374 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64))) |
(pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64)) |
(fma.f64 (+.f64 x y) z (*.f64 x y)) |
(+.f64 x y) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) |
(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x))) |
#s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)) |
(*.f64 z x) |
(*.f64 (fma.f64 x (/.f64 y z) x) z) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z))))) |
(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z)))) |
#s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) z)) |
(*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) z) |
#s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y) |
(/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) |
(+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z)) |
(neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z))) |
(*.f64 x y) |
(fma.f64 x (/.f64 y z) x) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) |
(/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) |
(sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z))) |
(/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)) |
| Outputs |
|---|
(*.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (+.f64 z y) x (*.f64 z y))) #s(literal 2 binary64)) |
(*.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 (+.f64 z y) x (*.f64 z y))) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)))) |
(pow.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/4 binary64)))) (neg.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/4 binary64)))) |
(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/4 binary64))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/2 binary64)))))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/2 binary64))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 (neg.f64 z) y)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y x) z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (*.f64 (neg.f64 y) x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) (*.f64 (+.f64 z y) x)) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 y x) z) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 (+.f64 y x) z)) (pow.f64 (*.f64 (+.f64 y x) z) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/4 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)))) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/2 binary64)) |
(exp.f64 (fma.f64 (log.f64 (fma.f64 (+.f64 z y) x (*.f64 z y))) #s(literal -1/4 binary64) (*.f64 (log.f64 (fma.f64 (+.f64 z y) x (*.f64 z y))) #s(literal -1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (+.f64 z y) x (*.f64 z y))) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal 2 binary64))) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 z y)) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 z y) x (*.f64 z y))) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (+.f64 z y) x (*.f64 (neg.f64 z) y)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 y x) z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (+.f64 y x) z (*.f64 (neg.f64 y) x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 z y) (-.f64 (*.f64 z y) (*.f64 (+.f64 z y) x)) (pow.f64 (*.f64 (+.f64 z y) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 y x) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 (+.f64 y x) z)) (pow.f64 (*.f64 (+.f64 y x) z) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (+.f64 y x) z (*.f64 (neg.f64 y) x)) (-.f64 (pow.f64 (*.f64 (+.f64 y x) z) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 (+.f64 y x) z)) (pow.f64 (*.f64 (+.f64 y x) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 y x) z) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
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(/.f64 (*.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (-.f64 y z) #s(literal -1 binary64))) x) |
(/.f64 (*.f64 (*.f64 (*.f64 z z) x) #s(literal 1 binary64)) (-.f64 y z)) |
(/.f64 (neg.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64))) (neg.f64 (/.f64 x (pow.f64 (*.f64 z x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 x) (-.f64 y z)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (-.f64 y z))) |
(/.f64 (*.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 y z) x)) |
(/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 x (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (-.f64 y z))) |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) x)) (neg.f64 (neg.f64 (neg.f64 (-.f64 y z))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 z z) x)) (neg.f64 (-.f64 y z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 y z) x) (pow.f64 (*.f64 z x) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 y z) (*.f64 (*.f64 z z) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (-.f64 y z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y z) (*.f64 (*.f64 z z) x)))) |
(/.f64 (*.f64 (*.f64 z z) x) (neg.f64 (neg.f64 (-.f64 y z)))) |
(/.f64 (*.f64 (*.f64 z z) x) (-.f64 y z)) |
(/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (-.f64 y z) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 y z) (*.f64 (*.f64 z z) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y z) x) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y z) (*.f64 (*.f64 z z) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (-.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (*.f64 (*.f64 z z) x))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 z z) x)) (-.f64 y z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y z) (*.f64 (*.f64 z z) x))) #s(literal -1 binary64))) |
Compiled 51 164 to 5 477 computations (89.3% saved)
35 alts after pruning (31 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 698 | 16 | 1 714 |
| Fresh | 9 | 15 | 24 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 710 | 35 | 1 745 |
| Status | Accuracy | Program |
|---|---|---|
| 36.3% | (/.f64 #s(literal 2 binary64) (pow.f64 #s(approx (+ (* (+ x y) z) (* x y)) (*.f64 z y)) #s(literal -1/2 binary64))) | |
| 34.4% | (/.f64 #s(literal 2 binary64) #s(approx (pow (+ (* (+ x y) z) (* x y)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x))))) | |
| 38.4% | (/.f64 #s(literal 2 binary64) #s(approx (pow (+ (* (+ x y) z) (* x y)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) z))))) | |
| 32.8% | (/.f64 #s(literal 2 binary64) #s(approx (pow (+ (* (+ x y) z) (* x y)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))) | |
| 28.3% | (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z (*.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 z y))) x))))) | |
| 42.0% | (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (/.f64 y (-.f64 y z)) (*.f64 (/.f64 y x) (*.f64 x x)) (fma.f64 z y (/.f64 (neg.f64 (*.f64 (*.f64 z z) x)) (-.f64 y z)))))) | |
| ▶ | 50.0% | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z)))) |
| 38.5% | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(approx (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (*.f64 z x)) (*.f64 y z)))) | |
| 38.6% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 (+.f64 y x) z)))) | |
| ▶ | 36.3% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)))) |
| 34.8% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z))))) | |
| 26.1% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) x)))))) | |
| ✓ | 34.9% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) |
| ✓ | 3.8% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) |
| ✓ | 33.4% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) |
| ✓ | 24.0% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z))))) |
| ▶ | 22.6% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z))))) |
| 31.9% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) #s(approx (* (+ (* x (/ y z)) x) z) (*.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) z) x)))))) | |
| 31.3% | (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 x y))) #s(literal 1/2 binary64)))) | |
| 30.6% | #s(approx (/ 2 (pow (+ (* (+ x y) z) (* x y)) -1/2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x))) (*.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y)) | |
| ▶ | 3.7% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) |
| 39.6% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (pow.f64 (/.f64 z (+.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) z)) | |
| 44.6% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64))) z)) | |
| 27.6% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 z #s(literal -1 binary64)))) (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64))) z)) | |
| 39.5% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 x y)))) #s(literal 2 binary64))) z)) | |
| 2.4% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) y (*.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z)) | |
| 34.2% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 y)) x (/.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))) y)) z)) | |
| 44.4% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 y)) #s(literal 2 binary64))) y)) z)) | |
| 2.4% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z)) | |
| 46.1% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)) | |
| 44.4% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z)) | |
| 43.8% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (* (+ (* (sqrt (/ 1 (* (pow z 3) y))) x) (* (sqrt (/ 1 (* z y))) 2)) y) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 y z)) x) #s(literal 2 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))) x))) z)) | |
| 2.1% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (* (+ (* (sqrt (/ 1 (* (pow z 3) y))) x) (* (sqrt (/ 1 (* z y))) 2)) y) (*.f64 (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal -1 binary64)) #s(literal 2 binary64)))) z)) | |
| ▶ | 2.6% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))) |
| 2.7% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (*.f64 (*.f64 (neg.f64 z) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) #s(literal -1 binary64)) #s(literal 2 binary64)))))) |
Compiled 1 360 to 855 computations (37.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z)) | |
| cost-diff | 0 | #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z)))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z))))) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)))) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z)))) | |
| cost-diff | 448 | (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z)) | |
| cost-diff | 1024 | (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) |
| 10 888× | lower-fma.f32 |
| 10 882× | lower-fma.f64 |
| 4 296× | lower-*.f32 |
| 4 270× | lower-*.f64 |
| 2 118× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 746 |
| 0 | 117 | 733 |
| 1 | 221 | 733 |
| 2 | 443 | 719 |
| 3 | 1032 | 678 |
| 4 | 3258 | 664 |
| 5 | 7487 | 664 |
| 0 | 8045 | 641 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z)))) |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z))) |
(+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) |
(*.f64 x x) |
x |
(/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) |
(*.f64 y y) |
y |
(*.f64 (-.f64 y z) x) |
(-.f64 y z) |
z |
#s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x)) |
(*.f64 z x) |
(*.f64 y z) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)))) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y))) |
#s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z))))) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z)))) |
#s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z))) |
#s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z)) |
(*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z) |
#s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) |
(/.f64 (*.f64 y x) z) |
(*.f64 y x) |
y |
x |
z |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
#s(literal 1 binary64) |
(*.f64 z x) |
z |
x |
(+.f64 z x) |
y |
(*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 z x)) |
#s(literal 2 binary64) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))) |
#s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) |
(*.f64 z y) |
z |
y |
(+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) |
(sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 x (pow.f64 z #s(literal 3 binary64))) |
x |
(pow.f64 z #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
#s(literal 1 binary64) |
(*.f64 z x) |
(*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 z x)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z)))) |
(*.f64 (sqrt.f64 (fma.f64 (fma.f64 (/.f64 x (-.f64 y z)) y z) y #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z))) |
(sqrt.f64 (fma.f64 (fma.f64 (/.f64 x (-.f64 y z)) y z) y #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x)))) |
(+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z)) |
(fma.f64 (fma.f64 (/.f64 x (-.f64 y z)) y z) y #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) |
(fma.f64 (*.f64 y y) (/.f64 x (-.f64 y z)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) |
(*.f64 x x) |
x |
(/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) |
(*.f64 (/.f64 (/.f64 y (-.f64 y z)) x) y) |
(*.f64 y y) |
y |
(*.f64 (-.f64 y z) x) |
(-.f64 y z) |
z |
#s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x)) |
(*.f64 z x) |
(*.f64 y z) |
(*.f64 z y) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)))) |
(*.f64 (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y))) |
#s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z))))) |
(*.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (*.f64 (/.f64 y z) x)) z)))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z)))) |
(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (*.f64 (/.f64 y z) x)) z)))) |
#s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z))) |
#s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (*.f64 (/.f64 y z) x)) z))) |
#s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z)) |
#s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (*.f64 (/.f64 y z) x)) z)) |
(*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z) |
(*.f64 #s(approx (+ (* x (/ y z)) x) (*.f64 (/.f64 y z) x)) z) |
#s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) |
#s(approx (+ (* x (/ y z)) x) (*.f64 (/.f64 y z) x)) |
(/.f64 (*.f64 y x) z) |
(*.f64 (/.f64 y z) x) |
(*.f64 y x) |
y |
x |
z |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (*.f64 (+.f64 z x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (+.f64 z x) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) |
(*.f64 (+.f64 z x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
#s(literal 1 binary64) |
(*.f64 z x) |
z |
x |
(+.f64 z x) |
y |
(*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 z x)) |
#s(literal 2 binary64) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 z y) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))) |
#s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) |
#s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 z y) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) |
(fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 z y) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) |
(*.f64 z y) |
z |
y |
(+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) |
(sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 x (pow.f64 z #s(literal 3 binary64))) |
x |
(pow.f64 z #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
#s(literal 1 binary64) |
(*.f64 z x) |
(*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 z x)) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 8.854157856498627 | (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) | |
| accuracy | 9.997261177381386 | (fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) | |
| accuracy | 16.31436507071327 | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))) | |
| accuracy | 32.00654587960297 | #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) | |
| accuracy | 0.21658384185972307 | (/.f64 #s(literal 1 binary64) (*.f64 z x)) | |
| accuracy | 4.324354672356064 | (sqrt.f64 (*.f64 z x)) | |
| accuracy | 4.427933955134861 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) | |
| accuracy | 30.85485397364543 | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) | |
| accuracy | 2.6132805921398066 | (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z) | |
| accuracy | 10.687849550984879 | (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z)))) | |
| accuracy | 14.124448764384484 | #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z))) | |
| accuracy | 16.503660324953508 | #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)))) | |
| accuracy | 10.687849550984879 | (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y))) | |
| accuracy | 15.236514602017046 | #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)) | |
| accuracy | 5.656231042974762 | (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) | |
| accuracy | 10.687849550984879 | (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z))) | |
| accuracy | 12.11460995085001 | (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) | |
| accuracy | 14.940091541606913 | #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x)) |
| 85.0ms | 122× | 0 | invalid |
| 70.0ms | 134× | 0 | valid |
Compiled 535 to 63 computations (88.2% saved)
ival-mult: 50.0ms (49.3% of total)ival-div: 16.0ms (15.8% of total)ival-add: 15.0ms (14.8% of total)ival-sqrt: 11.0ms (10.8% of total)ival-pow: 4.0ms (3.9% of total)ival-pow2: 3.0ms (3% of total)ival-sub: 1.0ms (1% of total)ival-neg: 1.0ms (1% 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 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (patch (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z)) (patch (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z))) (patch (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y))) (patch (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)) (patch #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z))))) (patch (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z)))) (patch (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z))) (patch #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z)) (patch #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z)) #<representation binary64>) () ()) |
#s(alt #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) (patch #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) (patch (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) #<representation binary64>) () ()) |
#s(alt #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))) (patch #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) (patch #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
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#s(alt (sqrt.f64 (*.f64 z x)) (patch (sqrt.f64 (*.f64 z x)) #<representation binary64>) () ()) |
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| Outputs |
|---|
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
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| 7.0ms | z | @ | -inf | ((+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (* 2 (sqrt (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)))) (sqrt (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z))) (* 2 (sqrt (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)))) (sqrt (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z))) (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (* z y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (sqrt (/ 1 (* z x))) (+ z x)) (sqrt (/ 1 (* z x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (* z y) (+ (sqrt (/ x (pow z 3))) (sqrt (/ 1 (* z x))))) (* (sqrt (* z x)) 2)) (neg (/ (/ (pow (* z x) 2) x) (- y z))) (/ (* y y) (* (- y z) x)) (+ (* x (/ y z)) x) (* (+ (* x (/ y z)) x) z) (sqrt (* z x)) (/ 1 (* z x)) (sqrt (/ x (pow z 3)))) |
| 6.0ms | x | @ | inf | ((+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (* 2 (sqrt (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)))) (sqrt (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z))) (* 2 (sqrt (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)))) (sqrt (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z))) (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (* z y) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (sqrt (+ (+ (* x y) (* x z)) (* y z))) (+ (+ (* x y) (* x z)) (* y z)) (* (+ z y) x) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (* (sqrt (/ 1 (* z x))) (+ z x)) (sqrt (/ 1 (* z x))) (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (+ (* (* z y) (+ (sqrt (/ x (pow z 3))) (sqrt (/ 1 (* z x))))) (* (sqrt (* z x)) 2)) (neg (/ (/ (pow (* z x) 2) x) (- y z))) (/ (* y y) (* (- y z) x)) (+ (* x (/ y z)) x) (* (+ (* x (/ y z)) x) z) (sqrt (* z x)) (/ 1 (* z x)) (sqrt (/ x (pow z 3)))) |
| 1× | egg-herbie |
| 8 856× | lower-fma.f64 |
| 8 856× | lower-fma.f32 |
| 6 446× | lower-*.f64 |
| 6 446× | lower-*.f32 |
| 5 914× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1473 | 21587 |
| 1 | 5033 | 20222 |
| 0 | 8777 | 19474 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
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(* -1 (* z (+ (* -1/8 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/2 (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))) (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1)))))) |
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(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))) |
(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 1/8 (* (* (pow x 3) (* (pow y 3) (sqrt -1))) (sqrt (/ 1 (* (pow z 7) (pow (+ (* -1 x) (* -1 y)) 5)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y))))))))))) |
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(* -1 (* z (+ (* -1 (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2)))) (+ (* -1 (* (sqrt (/ x (pow z 3))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ x z)) (pow (sqrt -1) 2))))))) |
(* -1 (* z (+ (* -1 (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2)))) (+ (* -1 (* (sqrt (/ x (pow z 3))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ x z)) (pow (sqrt -1) 2))))))) |
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(* (sqrt (/ z x)) (pow (sqrt -1) 2)) |
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(* -1 (* z (+ (* -1 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ x (pow z 3))) (pow (sqrt -1) 2)))))) |
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(* -1 (* z (+ (* -1/4 (* (* (pow x 2) (* (pow y 2) (sqrt -1))) (sqrt (/ 1 (* (pow z 5) (pow (+ (* -1 x) (* -1 y)) 3)))))) (+ (* 2 (* (sqrt (/ (+ (* -1 x) (* -1 y)) z)) (sqrt -1))) (* (* x (* y (sqrt -1))) (sqrt (/ 1 (* (pow z 3) (+ (* -1 x) (* -1 y)))))))))) |
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(* -1 (* z (+ (* -2 (* (sqrt (/ (+ x y) z)) (pow (sqrt -1) 2))) (* (* x (* y (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow z 3) (+ x y)))))))) |
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(* -1 (* z (+ (* -1 (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ x z)) (pow (sqrt -1) 2))) (* (sqrt (/ x (pow z 3))) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* z (+ (* -1 (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ x z)) (pow (sqrt -1) 2))) (* (sqrt (/ x (pow z 3))) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* z (+ (* -1 (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ x z)) (pow (sqrt -1) 2))) (* (sqrt (/ x (pow z 3))) (* y (pow (sqrt -1) 2))))))) |
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(* -1 (* z (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z)) x))) |
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow y 4) (* x z))) (/ (pow y 3) x)) z)) (/ (pow y 2) x)) z)) |
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(+ (* 2 (sqrt (* x z))) (* y (+ (* y (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (* (+ x z) (- (+ (* -1 (/ x z)) (/ x z)) (* 1/4 (/ (pow (+ x z) 2) (* x z)))))))) (* (sqrt (/ 1 (* x z))) (- (+ (* -1 (/ x z)) (/ x z)) (* 1/4 (/ (pow (+ x z) 2) (* x z))))))) (* (sqrt (/ 1 (* x z))) (+ x z))))) |
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(+ (* 2 (sqrt (* x z))) (* y (+ (* y (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 3) (pow z 3)))) (* y (* (+ x z) (- (+ (* -1 (/ x z)) (/ x z)) (* 1/4 (/ (pow (+ x z) 2) (* x z)))))))) (* (sqrt (/ 1 (* x z))) (- (+ (* -1 (/ x z)) (/ x z)) (* 1/4 (/ (pow (+ x z) 2) (* x z))))))) (* (sqrt (/ 1 (* x z))) (+ x z))))) |
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(* (sqrt (/ z x)) y) |
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(/ (+ (* x (+ (* 2 (sqrt (* x z))) (* (sqrt (/ x z)) y))) (* (sqrt (* x z)) y)) x) |
(/ (+ (* x (+ (* 2 (sqrt (* x z))) (* (sqrt (/ x z)) y))) (* (sqrt (* x z)) y)) x) |
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(/ (pow y 2) (* x (- y z))) |
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(/ (pow y 2) (* x (- y z))) |
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(* x (+ (* 2 (sqrt (/ z x))) (+ (* (sqrt (/ 1 (* x z))) y) (* (sqrt (/ z (pow x 3))) y)))) |
(* x (+ (* 2 (sqrt (/ z x))) (+ (* (sqrt (/ 1 (* x z))) y) (* (sqrt (/ z (pow x 3))) y)))) |
(sqrt (/ x z)) |
(* x (+ (sqrt (/ 1 (* x z))) (sqrt (/ z (pow x 3))))) |
(* x (+ (sqrt (/ 1 (* x z))) (sqrt (/ z (pow x 3))))) |
(* x (+ (sqrt (/ 1 (* x z))) (sqrt (/ z (pow x 3))))) |
(sqrt (/ 1 (* x z))) |
(sqrt (/ 1 (* x z))) |
(sqrt (/ 1 (* x z))) |
(sqrt (/ 1 (* x z))) |
(* 2 (sqrt (* x (+ y z)))) |
(* x (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))) |
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z))))) |
(* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ y z) 3)))) (* (pow y 2) (pow z 2)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ y z) 5)))) (* (pow y 3) (pow z 3)))) (+ (* 2 (sqrt (/ (+ y z) x))) (* (sqrt (/ 1 (* (pow x 3) (+ y z)))) (* y z)))))) |
(* x (* z (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* x (pow z 3)))) y)))) |
(* x (+ (* z (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* x (pow z 3)))) y))) (/ (* z (+ (* -1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2)))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 3))) (+ (* z (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* x (pow z 3)))) y))) (/ (* z (+ (* -1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2))))) |
(* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 3))) (+ (* z (+ (* 2 (sqrt (/ 1 (* x z)))) (* (sqrt (/ 1 (* x (pow z 3)))) y))) (+ (/ (* z (+ (* -1/2 (* (sqrt (* x (pow z 3))) (* y (+ (* 1/4 (/ (* x (pow y 2)) (pow z 3))) (/ (pow y 3) (pow z 3)))))) (* -1/4 (* (sqrt (/ (pow x 3) z)) (pow y 2))))) (pow x 4)) (/ (* z (+ (* -1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2)))))) |
(* x (+ (* 2 (sqrt (/ z x))) (* (sqrt (/ 1 (* x z))) y))) |
(* x (+ (* 2 (sqrt (/ z x))) (+ (* (sqrt (/ 1 (* x z))) y) (* (sqrt (/ z (pow x 3))) y)))) |
(* x (+ (* 2 (sqrt (/ z x))) (+ (* (sqrt (/ 1 (* x z))) y) (* (sqrt (/ z (pow x 3))) y)))) |
(* x (+ (* 2 (sqrt (/ z x))) (+ (* (sqrt (/ 1 (* x z))) y) (* (sqrt (/ z (pow x 3))) y)))) |
(* -1 (/ (* x (pow z 2)) (- y z))) |
(* -1 (/ (* x (pow z 2)) (- y z))) |
(* -1 (/ (* x (pow z 2)) (- y z))) |
(* -1 (/ (* x (pow z 2)) (- y z))) |
(/ (pow y 2) (* x (- y z))) |
(/ (pow y 2) (* x (- y z))) |
(/ (pow y 2) (* x (- y z))) |
(/ (pow y 2) (* x (- y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (+ 1 (/ y z))) |
(* x (* z (+ 1 (/ y z)))) |
(* x (* z (+ 1 (/ y z)))) |
(* x (* z (+ 1 (/ y z)))) |
(* x (* z (+ 1 (/ y z)))) |
(sqrt (* x z)) |
(sqrt (* x z)) |
(sqrt (* x z)) |
(sqrt (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(sqrt (/ x (pow z 3))) |
(sqrt (/ x (pow z 3))) |
(sqrt (/ x (pow z 3))) |
(sqrt (/ x (pow z 3))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* -1 (/ (pow y 2) (- y z)))) (* -1 (/ (pow z 2) (- y z)))))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* -1 (/ (pow y 2) (- y z)))) (* -1 (/ (pow z 2) (- y z)))))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* -1 (/ (pow y 2) (- y z)))) (* -1 (/ (pow z 2) (- y z)))))) |
(* -2 (* (sqrt (* x (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))))) (sqrt -1))) |
(* -1 (* x (+ (* 2 (* (sqrt (/ (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z))))))) (* y (* z (sqrt -1))))))) |
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z))))))) (* y (* z (sqrt -1)))))))) |
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z))))))) (* y (* z (sqrt -1))))))))) |
(* -1 (* (sqrt (* x (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))))) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z))))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z))))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z))))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) x)) (sqrt -1))))))) |
(* -2 (* (sqrt (* x (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))))) (sqrt -1))) |
(* -1 (* x (+ (* 2 (* (sqrt (/ (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z))))))) (* y (* z (sqrt -1))))))) |
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z))))))) (* y (* z (sqrt -1)))))))) |
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z))))))) (* y (* z (sqrt -1))))))))) |
(* -1 (* (sqrt (* x (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))))) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z))))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z))))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z))))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))) x)) (sqrt -1))))))) |
(* -1 (* x (- (* -1 (/ (pow y 2) (- y z))) (* -1 (/ (pow z 2) (- y z)))))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* -1 (/ (pow y 2) (- y z)))) (* -1 (/ (pow z 2) (- y z)))))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* -1 (/ (pow y 2) (- y z)))) (* -1 (/ (pow z 2) (- y z)))))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) x)) (* -1 (/ (pow y 2) (- y z)))) (* -1 (/ (pow z 2) (- y z)))))) |
(* -2 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1))) |
(* -1 (* x (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))) |
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))) |
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))))) |
(* -1 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1))) |
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))) (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))))))) |
(* -1 (* x (+ (* -1 y) (* -1 z)))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) |
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (* -1 (/ (* y z) x)))))) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* x (+ y z)) |
(* -2 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1))) |
(* -1 (* x (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))) |
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))) |
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ z x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2)))) (+ (* -1 (* (sqrt (/ z (pow x 3))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ z x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2)))) (+ (* -1 (* (sqrt (/ z (pow x 3))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ z x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2)))) (+ (* -1 (* (sqrt (/ z (pow x 3))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ z x)) (pow (sqrt -1) 2))))))) |
(* (sqrt (/ x z)) (pow (sqrt -1) 2)) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ z (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ z (pow x 3))) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))) (* -1 (* (sqrt (/ z (pow x 3))) (pow (sqrt -1) 2)))))) |
(* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2)) |
(* -2 (* (sqrt (* x (+ (* -1 y) (* -1 z)))) (sqrt -1))) |
(* -1 (* x (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))) |
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1)))))))) |
(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))))) |
(* -1 (* x (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 3))) (+ (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (* z (+ (* -1/4 (* (sqrt (/ (pow x 3) z)) (/ (pow y 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow z 3))) (* y (+ (* -1/4 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow y 3) (pow z 3)))))))) x)) (* 1/2 (* (sqrt (/ x z)) (pow y 3)))) (pow x 3))) (+ (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2)))))) |
(* -1 (* x (+ (* 2 (* (sqrt (/ z x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ z (pow x 3))) (* y (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ z x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ z (pow x 3))) (* y (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ z x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ (* -1 (* (sqrt (/ z (pow x 3))) (* y (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ z x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2))))))) |
(* -1 (/ (* x (pow z 2)) (- y z))) |
(* -1 (/ (* x (pow z 2)) (- y z))) |
(* -1 (/ (* x (pow z 2)) (- y z))) |
(* -1 (/ (* x (pow z 2)) (- y z))) |
(/ (pow y 2) (* x (- y z))) |
(/ (pow y 2) (* x (- y z))) |
(/ (pow y 2) (* x (- y z))) |
(/ (pow y 2) (* x (- y z))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(* -1 (* x (* z (- (* -1 (/ y z)) 1)))) |
(* -1 (* x (* z (- (* -1 (/ y z)) 1)))) |
(* -1 (* x (* z (- (* -1 (/ y z)) 1)))) |
(* -1 (* x (* z (- (* -1 (/ y z)) 1)))) |
(* -1 (* (sqrt (* x z)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (* x z)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (* x z)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (* x z)) (pow (sqrt -1) 2))) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(/ 1 (* x z)) |
(* -1 (* (sqrt (/ x (pow z 3))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ x (pow z 3))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ x (pow z 3))) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ x (pow z 3))) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(+ (* x y) (* x z)) |
(*.f64 (+.f64 z y) x) |
(+ (* x y) (* z (- (* -1 (* z (+ (* -1 (/ x y)) (/ x y)))) (* -1 x)))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z x) z (*.f64 y x)) |
(+ (* x y) (* z (- (* -1 (* z (+ (* -1 (/ x y)) (/ x y)))) (* -1 x)))) |
(fma.f64 (fma.f64 #s(literal 0 binary64) z x) z (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(+ (* x y) (* z (- y (* -1 x)))) |
(fma.f64 (+.f64 z x) y (*.f64 z x)) |
(+ (* x y) (* z (- (+ y (* -1 (* z (+ (* -1 (/ x y)) (/ x y))))) (* -1 x)))) |
(fma.f64 (+.f64 (fma.f64 #s(literal 0 binary64) z y) x) z (*.f64 y x)) |
(+ (* x y) (* z (- (+ y (* -1 (* z (+ (* -1 (/ x y)) (/ x y))))) (* -1 x)))) |
(fma.f64 (+.f64 (fma.f64 #s(literal 0 binary64) z y) x) z (*.f64 y x)) |
(* 2 (sqrt (* x y))) |
(*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64)) |
(+ (* 2 (sqrt (* x y))) (* (sqrt (/ 1 (* x y))) (* z (- y (* -1 x))))) |
(fma.f64 (*.f64 (+.f64 y x) z) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))) |
(+ (* 2 (sqrt (* x y))) (* z (+ (* -1 (* (sqrt (/ 1 (* x y))) (* z (+ (* -1 (/ x y)) (+ (* 1/4 (/ (pow (- y (* -1 x)) 2) (* x y))) (/ x y)))))) (* (sqrt (/ 1 (* x y))) (- y (* -1 x)))))) |
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(* -1 (* x (+ (* -1/4 (* (sqrt (/ 1 (* (pow x 5) (pow (+ (* -1 y) (* -1 z)) 3)))) (* (pow y 2) (* (pow z 2) (sqrt -1))))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow x 7) (pow (+ (* -1 y) (* -1 z)) 5)))) (* (pow y 3) (* (pow z 3) (sqrt -1))))) (+ (* 2 (* (sqrt (/ (+ (* -1 y) (* -1 z)) x)) (sqrt -1))) (* (sqrt (/ 1 (* (pow x 3) (+ (* -1 y) (* -1 z))))) (* y (* z (sqrt -1))))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 (-.f64 (neg.f64 z) y) #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (-.f64 (neg.f64 z) y) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 z z)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (-.f64 (neg.f64 z) y) x))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (neg.f64 z) y))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) z) y))))) (neg.f64 x)) |
(* -1 (* x (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))))) |
(*.f64 (*.f64 (neg.f64 x) z) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) #s(literal 2 binary64)))) |
(* -1 (* x (+ (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2))))) |
(*.f64 (*.f64 z (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (*.f64 y y)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)) (*.f64 x x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) #s(literal 2 binary64))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/2 (* (sqrt (/ 1 (* (pow x 5) z))) (pow y 3))) (+ (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) z)))) (pow.f64 y #s(literal 3 binary64)) (*.f64 z (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (*.f64 y y)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)) (*.f64 x x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) #s(literal 2 binary64)))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (* z (+ (* -1/4 (* (sqrt (/ (pow x 3) z)) (/ (pow y 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (* x (pow z 3))) (* y (+ (* -1/4 (/ (* x (pow y 2)) (* (pow z 3) (pow (sqrt -1) 2)))) (/ (pow y 3) (pow z 3)))))))) x)) (* 1/2 (* (sqrt (/ x z)) (pow y 3)))) (pow x 3))) (+ (* z (+ (* -1 (* (sqrt (/ 1 (* x (pow z 3)))) (* y (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ 1 (* x z))) (pow (sqrt -1) 2))))) (/ (* z (+ (* 1/2 (* (sqrt (/ x (pow z 3))) (pow y 2))) (* (sqrt (/ x z)) y))) (pow x 2)))))) |
(*.f64 (-.f64 (*.f64 z (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (*.f64 y y)) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 x z)) y)) (*.f64 x x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) #s(literal 2 binary64))))) (/.f64 (fma.f64 (neg.f64 z) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) z))) (/.f64 (*.f64 y y) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x))) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) x) (pow.f64 z #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) y))) x) (*.f64 (*.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ (* 2 (* (sqrt (/ z x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2)))))) |
(*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (* (sqrt (/ z (pow x 3))) (* y (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ z x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (* (sqrt (/ z (pow x 3))) (* y (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ z x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (* (sqrt (/ z (pow x 3))) (* y (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ z x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (* x z))) (* y (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 (/.f64 z (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))))) (neg.f64 x)) |
(* -1 (/ (* x (pow z 2)) (- y z))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 z z) (-.f64 y z))) |
(* -1 (/ (* x (pow z 2)) (- y z))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 z z) (-.f64 y z))) |
(* -1 (/ (* x (pow z 2)) (- y z))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 z z) (-.f64 y z))) |
(* -1 (/ (* x (pow z 2)) (- y z))) |
(*.f64 (neg.f64 x) (/.f64 (*.f64 z z) (-.f64 y z))) |
(/ (pow y 2) (* x (- y z))) |
(*.f64 (/.f64 y (-.f64 y z)) (/.f64 y x)) |
(/ (pow y 2) (* x (- y z))) |
(*.f64 (/.f64 y (-.f64 y z)) (/.f64 y x)) |
(/ (pow y 2) (* x (- y z))) |
(*.f64 (/.f64 y (-.f64 y z)) (/.f64 y x)) |
(/ (pow y 2) (* x (- y z))) |
(*.f64 (/.f64 y (-.f64 y z)) (/.f64 y x)) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y z)) 1))) |
(*.f64 (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (* z (- (* -1 (/ y z)) 1)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)) z) (neg.f64 x)) |
(* -1 (* x (* z (- (* -1 (/ y z)) 1)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)) z) (neg.f64 x)) |
(* -1 (* x (* z (- (* -1 (/ y z)) 1)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)) z) (neg.f64 x)) |
(* -1 (* x (* z (- (* -1 (/ y z)) 1)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64)) z) (neg.f64 x)) |
(* -1 (* (sqrt (* x z)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 z x)) |
(* -1 (* (sqrt (* x z)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 z x)) |
(* -1 (* (sqrt (* x z)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 z x)) |
(* -1 (* (sqrt (* x z)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 z x)) |
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
(/ 1 (* x z)) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
(* -1 (* (sqrt (/ x (pow z 3))) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) |
(* -1 (* (sqrt (/ x (pow z 3))) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) |
(* -1 (* (sqrt (/ x (pow z 3))) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) |
(* -1 (* (sqrt (/ x (pow z 3))) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) |
| 4 810× | lower-fma.f32 |
| 4 804× | lower-fma.f64 |
| 4 442× | lower-*.f32 |
| 4 416× | lower-*.f64 |
| 3 252× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 636 |
| 0 | 117 | 623 |
| 1 | 479 | 545 |
| 2 | 3752 | 535 |
| 0 | 8142 | 513 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) |
(+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z)) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z)))) |
(sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)))) |
(sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y))) |
#s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)) |
(*.f64 z y) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z))))) |
(sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z)))) |
#s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z))) |
#s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z)) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))) |
#s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) |
#s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x)) |
(/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) |
#s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) |
(*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z) |
(sqrt.f64 (*.f64 z x)) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
(sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x)) (-.f64 #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z))) (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x)) (-.f64 #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z))) (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) #s(literal 2 binary64))) (+.f64 (pow.f64 #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) #s(literal 2 binary64))) (-.f64 #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x)) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) #s(literal 2 binary64)) (pow.f64 #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (-.f64 y z)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))))) |
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(fma.f64 y (*.f64 z (fma.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 x) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) |
(fma.f64 y (*.f64 z (*.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 x))) (fma.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 x) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (*.f64 z y)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 x) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) z) y (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 z x))))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 z x)) (fma.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 x) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) z) y (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 z x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 x)) (*.f64 z y))) (/.f64 (*.f64 z y) (sqrt.f64 (*.f64 z x)))) |
(+.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 x)) (*.f64 z y)) (fma.f64 (/.f64 z (sqrt.f64 (*.f64 z x))) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 x) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (*.f64 z y)) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 x) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (*.f64 z y))) |
#s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x)) |
(*.f64 (/.f64 (/.f64 y (-.f64 y z)) x) y) |
(*.f64 (*.f64 y (/.f64 y (-.f64 y z))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 y z)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) x) (pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) x) (*.f64 y y)) |
(*.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 y x) (/.f64 y (-.f64 y z))) |
(*.f64 (/.f64 y (-.f64 y z)) (/.f64 y x)) |
(*.f64 (*.f64 (neg.f64 y) y) (pow.f64 (*.f64 (neg.f64 x) (-.f64 y z)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 y (-.f64 y z)) x) y)) |
(*.f64 (*.f64 y y) (/.f64 (pow.f64 (-.f64 y z) #s(literal -1 binary64)) x)) |
(*.f64 y (/.f64 (/.f64 y (-.f64 y z)) x)) |
(pow.f64 (/.f64 x (*.f64 y (/.f64 y (-.f64 y z)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 (-.f64 y z) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (-.f64 y z) y) (/.f64 x y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 y (/.f64 y x)) (-.f64 y z)) |
(/.f64 (*.f64 (/.f64 y (-.f64 y z)) y) x) |
(/.f64 (*.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 (-.f64 y z) x)) |
(/.f64 (/.f64 (*.f64 y y) x) (-.f64 y z)) |
(/.f64 (neg.f64 (*.f64 y (/.f64 y (-.f64 y z)))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) y)) (neg.f64 (*.f64 (neg.f64 x) (-.f64 y z)))) |
(/.f64 (*.f64 y (/.f64 y (-.f64 y z))) x) |
(/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 x) (-.f64 y z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (-.f64 y z) y) (/.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y (/.f64 y (-.f64 y z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 y z) y) (/.f64 x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 y z) y) (/.f64 x y))) |
(/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (-.f64 y z) x))) |
(neg.f64 (/.f64 (*.f64 y y) (*.f64 (neg.f64 x) (-.f64 y z)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 y z) y) (/.f64 x y))) #s(literal -1 binary64))) |
#s(approx (+ (* x (/ y z)) x) (*.f64 (/.f64 y z) x)) |
(*.f64 #s(approx (+ (* x (/ y z)) x) (*.f64 (/.f64 y z) x)) z) |
(*.f64 z #s(approx (+ (* x (/ y z)) x) (*.f64 (/.f64 y z) x))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 (/.f64 z #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z x) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(sqrt.f64 (*.f64 z x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (*.f64 (neg.f64 z) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 z) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z x) #s(literal -1 binary64))) |
(pow.f64 (/.f64 x (pow.f64 z #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (*.f64 (neg.f64 z) x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 z x) #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 z x)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 z x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 (pow.f64 z #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) x) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) z) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) x)) |
(/.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 z x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 z) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 z x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 z x))) |
(sqrt.f64 (pow.f64 (*.f64 z x) #s(literal -2 binary64))) |
(exp.f64 (-.f64 (log.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) (*.f64 (log.f64 (*.f64 z x)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z x) #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z x) #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 z x))) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 z x)))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 (pow.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 x) (pow.f64 z #s(literal -3/2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 x))) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (pow.f64 z #s(literal 3/2 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) |
(/.f64 (sqrt.f64 x) (pow.f64 z #s(literal 3/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x))) |
(sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) |
(exp.f64 (log.f64 (*.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 x)))) |
Compiled 38 625 to 2 662 computations (93.1% saved)
42 alts after pruning (37 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 335 | 14 | 1 349 |
| Fresh | 3 | 23 | 26 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 342 | 42 | 1 384 |
| Status | Accuracy | Program |
|---|---|---|
| 36.3% | (/.f64 #s(literal 2 binary64) (pow.f64 #s(approx (+ (* (+ x y) z) (* x y)) (*.f64 z y)) #s(literal -1/2 binary64))) | |
| 34.4% | (/.f64 #s(literal 2 binary64) #s(approx (pow (+ (* (+ x y) z) (* x y)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x))))) | |
| 38.4% | (/.f64 #s(literal 2 binary64) #s(approx (pow (+ (* (+ x y) z) (* x y)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) z))))) | |
| 32.8% | (/.f64 #s(literal 2 binary64) #s(approx (pow (+ (* (+ x y) z) (* x y)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))) | |
| 22.6% | (*.f64 (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (*.f64 (/.f64 y z) x)) z)))) #s(literal 2 binary64)) | |
| 24.1% | (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)) #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y))) #s(literal 1/4 binary64))) | |
| 28.3% | (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z (*.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 z y))) x))))) | |
| ✓ | 50.0% | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z)))) |
| 54.3% | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) #s(approx (/ (* y y) (* (- y z) x)) (/.f64 y x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z)))) | |
| 38.5% | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(approx (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (*.f64 z x)) (*.f64 y z)))) | |
| 38.6% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 (+.f64 y x) z)))) | |
| ✓ | 36.3% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)))) |
| 34.8% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z))))) | |
| 26.1% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) x)))))) | |
| ✓ | 34.9% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) |
| ✓ | 3.8% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) |
| ✓ | 33.4% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) |
| 31.9% | (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) #s(approx (* (+ (* x (/ y z)) x) z) (*.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) z) x)))))) | |
| 31.3% | (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 x y))) #s(literal 1/2 binary64)))) | |
| 30.6% | #s(approx (/ 2 (pow (+ (* (+ x y) z) (* x y)) -1/2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x))) (*.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y)) | |
| 3.7% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x))) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) | |
| 3.7% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z x))) (+.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) | |
| 3.8% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal -1/2 binary64))) (+.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) | |
| 3.4% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z x))) (+ z x)) (/.f64 (+.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) (sqrt.f64 (*.f64 z x))) z)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) | |
| 3.5% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z x))) (+ z x)) (*.f64 (sqrt.f64 (/.f64 x z)) #s(literal -1 binary64))) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) | |
| 39.6% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (pow.f64 (/.f64 z (+.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) z)) | |
| 44.6% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64))) z)) | |
| 27.6% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 z #s(literal -1 binary64)))) (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64))) z)) | |
| 39.5% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 x y)))) #s(literal 2 binary64))) z)) | |
| 34.2% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 y)) x (/.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))) y)) z)) | |
| 44.4% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 y)) #s(literal 2 binary64))) y)) z)) | |
| 2.4% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z)) | |
| 46.1% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)) | |
| 44.4% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z)) | |
| 43.8% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (* (+ (* (sqrt (/ 1 (* (pow z 3) y))) x) (* (sqrt (/ 1 (* z y))) 2)) y) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 y z)) x) #s(literal 2 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))) x))) z)) | |
| 2.1% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (* (+ (* (sqrt (/ 1 (* (pow z 3) y))) x) (* (sqrt (/ 1 (* z y))) 2)) y) (*.f64 (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal -1 binary64)) #s(literal 2 binary64)))) z)) | |
| 3.5% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) z (*.f64 (sqrt.f64 (*.f64 z x)) y)) z))) | |
| 3.4% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x))) | |
| 2.7% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (*.f64 (sqrt.f64 (/.f64 z x)) y))) | |
| 1.1% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (*.f64 z y) (+.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))) | |
| 2.7% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (*.f64 (*.f64 (neg.f64 x) z) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) #s(literal 2 binary64)))))) | |
| 2.7% | #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) #s(approx (+ (* (* z y) (+ (sqrt (/ x (pow z 3))) (sqrt (/ 1 (* z x))))) (* (sqrt (* z x)) 2)) (*.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))))))) |
Compiled 2 156 to 863 computations (60% saved)
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 (+.f64 y x) z)))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (*.f64 (sqrt.f64 (/.f64 z x)) y))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z))))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(approx (+ (* x y) (* x z)) (*.f64 z x)) (*.f64 y z)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(approx (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (*.f64 z x)) (*.f64 y z)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z)) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (* (+ (* (sqrt (/ 1 (* (pow z 3) y))) x) (* (sqrt (/ 1 (* z y))) 2)) y) (*.f64 (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal -1 binary64)) #s(literal 2 binary64)))) z)) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (/.f64 (*.f64 y x) z)) z))))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) |
(*.f64 (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) #s(approx (* (+ z y) x) (*.f64 #s(approx (+ (* x (/ y z)) x) (*.f64 (/.f64 y z) x)) z)))) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) (*.f64 (fma.f64 x (/.f64 y z) x) z))))) |
(/.f64 #s(literal 2 binary64) #s(approx (pow (+ (* (+ x y) z) (* x y)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal -1 binary64)) #s(literal 2 binary64))) z)) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) #s(approx (* (+ z y) x) #s(approx (* (+ (* x (/ y z)) x) z) (*.f64 (*.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) z) x)))))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 y z) #s(literal 1 binary64)) x y) z)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (fma.f64 (+.f64 (/.f64 z x) #s(literal 1 binary64)) y z) x)))) |
(/.f64 #s(literal 2 binary64) #s(approx (pow (+ (* (+ x y) z) (* x y)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) z))))) |
(/.f64 #s(literal 2 binary64) #s(approx (pow (+ (* (+ x y) z) (* x y)) -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) x))))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 y x)))))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 z x)))))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ y x) z) (* y x)) (*.f64 (+.f64 z y) x)))))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) #s(approx (/ (* y y) (* (- y z) x)) (/.f64 y x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z)))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) z (*.f64 y x)))))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z x))) (+ z x)) (*.f64 (sqrt.f64 (/.f64 x z)) #s(literal -1 binary64))) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (/.f64 (+.f64 z x) (sqrt.f64 (*.f64 z x))) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) x)))))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) (+.f64 y x)) z (*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64)))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) (+.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z x))) (+.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) y (*.f64 (sqrt.f64 (/.f64 z x)) #s(literal 2 binary64))) x))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) #s(approx (neg (/ (/ (pow (* z x) 2) x) (- y z))) (*.f64 z x))) (*.f64 y z)))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (/.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))) z (*.f64 (sqrt.f64 (*.f64 z x)) y)) z))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (/.f64 y (-.f64 y z)) (*.f64 (/.f64 y x) (*.f64 x x)) (fma.f64 z y (/.f64 (neg.f64 (*.f64 (*.f64 z z) x)) (-.f64 y z)))))) |
(/.f64 #s(literal 2 binary64) (pow.f64 #s(approx (+ (* (+ x y) z) (* x y)) (*.f64 z y)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)) #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y))) #s(literal 1/4 binary64))) |
(/.f64 #s(literal 2 binary64) (pow.f64 (fma.f64 (+.f64 x y) z (*.f64 x y)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)) (fma.f64 (+.f64 y x) z (*.f64 y x))) #s(literal 1/4 binary64))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) #s(approx (+ (* (* z y) (+ (sqrt (/ x (pow z 3))) (sqrt (/ 1 (* z x))))) (* (sqrt (* z x)) 2)) (*.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))))))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 y)) x (/.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z y)))) y)) z)) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) #s(approx (* (+ (* (sqrt (/ 1 (* (pow z 3) y))) x) (* (sqrt (/ 1 (* z y))) 2)) y) (*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 y z)) x) #s(literal 2 binary64) (sqrt.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))))) x))) z)) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y))) #s(literal 2 binary64))) y)) z)) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 #s(approx (* (sqrt (/ 1 (* z x))) (+ z x)) (/.f64 (+.f64 (sqrt.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) x)) (sqrt.f64 (*.f64 z x))) z)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (+ y x) z) (* y x))) (/.f64 (fma.f64 (neg.f64 y) (/.f64 z (*.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 z y))) x))))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z x)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y)) |
#s(approx (* 2 (/ 1 (sqrt (/ 1 (+ (* (+ y x) z) (* y x)))))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x))) (*.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y)) |
#s(approx (/ 2 (pow (+ (* (+ x y) z) (* x y)) -1/2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 z x))) (*.f64 z x) (*.f64 (sqrt.f64 (/.f64 (+.f64 z x) y)) #s(literal 2 binary64))) y)) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (*.f64 (*.f64 (neg.f64 x) z) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) #s(literal 2 binary64)))))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (*.f64 z y) (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (*.f64 (*.f64 (neg.f64 z) x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) x)))) (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x))) #s(literal -1 binary64)) #s(literal 2 binary64)))))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (fma.f64 (+.f64 (sqrt.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) y (*.f64 (sqrt.f64 (/.f64 x z)) #s(literal 2 binary64)))) z)) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 z)) #s(literal 2 binary64))) z)) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 (*.f64 x x) y) (/.f64 y (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (fma.f64 (*.f64 (*.f64 y y) x) (/.f64 x (*.f64 (-.f64 y z) x)) (neg.f64 (/.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) x) (-.f64 y z)))) (*.f64 y z)))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 z (+.f64 x y)))) #s(literal 2 binary64))) z)) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (* (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) z) (fma.f64 (*.f64 z y) (+.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 z x)))) (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 x y))) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (fma.f64 (+.f64 y x) z (*.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 y x) z (*.f64 y x))) #s(literal 1/2 binary64)))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal -1/2 binary64))) (+.f64 z x)) y (*.f64 (sqrt.f64 (*.f64 z x)) #s(literal 2 binary64)))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) x (*.f64 (/.f64 (pow.f64 z #s(literal -1/2 binary64)) (sqrt.f64 y)) #s(literal 2 binary64))) y)) z)) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (pow.f64 (/.f64 z (+.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) z)) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 y x) (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 z #s(literal -1 binary64)))) (sqrt.f64 (-.f64 y x))) #s(literal 2 binary64))) z)) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 (pow.f64 z #s(literal -3 binary64)) (+.f64 x y))) (*.f64 #s(literal 4 binary64) (/.f64 (+.f64 x y) z))) z) (fma.f64 (/.f64 (pow.f64 z #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x y))) (*.f64 x y) (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 (+.f64 x y) z)))))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z)) |
6 calls:
| 28.0ms | y |
| 24.0ms | (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) |
| 24.0ms | (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) |
| 24.0ms | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) |
| 22.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.8% | 3 | x |
| 81.6% | 2 | y |
| 80.2% | 2 | z |
| 80.8% | 2 | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) |
| 80.8% | 2 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) |
| 80.8% | 2 | (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) |
Compiled 58 to 37 computations (36.2% saved)
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 (+.f64 y x) z)))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (*.f64 (sqrt.f64 (/.f64 z x)) y))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z))))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(approx (+ (* x y) (* x z)) (*.f64 z x)) (*.f64 y z)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(approx (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (*.f64 z x)) (*.f64 y z)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z)) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z)) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.1% | 2 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 (+.f64 y x) z)))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (*.f64 (sqrt.f64 (/.f64 z x)) y))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z))))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(approx (+ (* x y) (* x z)) (*.f64 z x)) (*.f64 y z)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(approx (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (*.f64 z x)) (*.f64 y z)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) |
6 calls:
| 7.0ms | (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) |
| 5.0ms | z |
| 4.0ms | x |
| 4.0ms | (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.4% | 1 | x |
| 69.4% | 1 | z |
| 69.4% | 1 | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) |
| 69.4% | 1 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) |
| 69.4% | 1 | (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) |
| 69.4% | 1 | y |
Compiled 58 to 37 computations (36.2% saved)
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 (+.f64 y x) z)))) |
#s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) #s(approx (+ (* (* (sqrt (/ 1 (* z x))) (+ z x)) y) (* (sqrt (* z x)) 2)) (*.f64 (sqrt.f64 (/.f64 z x)) y))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (fma.f64 y x (*.f64 x z))))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(approx (+ (* x y) (* x z)) (*.f64 z x)) (*.f64 y z)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(approx (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (*.f64 z x)) (*.f64 y z)))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))) |
6 calls:
| 5.0ms | (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) |
| 5.0ms | z |
| 4.0ms | y |
| 4.0ms | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) |
| 4.0ms | (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.5% | 2 | x |
| 69.6% | 2 | y |
| 67.4% | 2 | z |
| 42.6% | 3 | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) |
| 42.6% | 3 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) |
| 42.6% | 3 | (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) |
Compiled 58 to 37 computations (36.2% saved)
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z)))) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.6% | 2 | y |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* (* x x) (/ (* y y) (* (- y z) x))) (neg (/ (/ (pow (* z x) 2) x) (- y z)))) (* y z)) (*.f64 z y)))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y)))) |
3 calls:
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.7% | 2 | z |
| 65.7% | 2 | x |
| 66.9% | 2 | y |
Compiled 12 to 9 computations (25% saved)
Total -19.3b remaining (-45.3%)
Threshold costs -19.3b (-45.3%)
| Inputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z x)))) |
| Outputs |
|---|
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) |
6 calls:
| 2.0ms | (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) |
| 2.0ms | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) |
| 2.0ms | y |
| 2.0ms | (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.4% | 1 | (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)))) |
| 33.4% | 1 | (sqrt.f64 (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z))) |
| 33.4% | 1 | (+.f64 (+.f64 (*.f64 x y) (*.f64 x z)) (*.f64 y z)) |
| 33.4% | 1 | z |
| 33.4% | 1 | x |
| 33.4% | 1 | y |
Compiled 58 to 37 computations (36.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 61.0ms | 5.168545439853371e-20 | 4.8639951183968235e-15 |
| 45.0ms | 144× | 0 | valid |
| 7.0ms | 108× | 0 | invalid |
Compiled 299 to 197 computations (34.1% saved)
ival-mult: 6.0ms (57.7% of total)ival-add: 2.0ms (19.2% of total)ival-sqrt: 2.0ms (19.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 5.168545439853371e-20 | 4.8639951183968235e-15 |
| 10.0ms | 112× | 0 | valid |
| 6.0ms | 89× | 0 | invalid |
Compiled 281 to 188 computations (33.1% saved)
ival-mult: 7.0ms (64.3% of total)ival-add: 2.0ms (18.4% of total)ival-sqrt: 1.0ms (9.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | -4.001500712389871e-262 | -2.2768448543029237e-268 |
| 11.0ms | 135× | 0 | invalid |
| 10.0ms | 144× | 0 | valid |
Compiled 254 to 179 computations (29.5% saved)
ival-mult: 7.0ms (50.9% of total)ival-sqrt: 4.0ms (29.1% of total)ival-add: 2.0ms (14.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | -4.001500712389871e-262 | -2.2768448543029237e-268 |
| 11.0ms | 128× | 0 | valid |
| 8.0ms | 112× | 0 | invalid |
Compiled 236 to 170 computations (28% saved)
ival-mult: 6.0ms (47.4% of total)ival-add: 3.0ms (23.7% of total)ival-sqrt: 3.0ms (23.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -4.001500712389871e-262 | -2.2768448543029237e-268 |
Compiled 218 to 161 computations (26.1% saved)
| 1× | egg-herbie |
| 28× | *-commutative-binary64-*.f64 |
| 6× | +-commutative-binary64-+.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 281 |
| 1 | 92 | 281 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal 1176379757011797/20282409603651670423947251286016 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))) |
(if (<=.f64 y #s(literal 2978978910536339/633825300114114700748351602688 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) |
(if (<=.f64 y #s(literal -8550347223747253/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))) |
(if (<=.f64 y #s(literal -7090649168385425/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))) |
(if (<=.f64 y #s(literal -8550347223747253/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y))))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) |
| Outputs |
|---|
(if (<=.f64 y #s(literal 1176379757011797/20282409603651670423947251286016 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 y x) z)) #s(literal 2 binary64))) z))) |
(if (<=.f64 y #s(literal 1176379757011797/20282409603651670423947251286016 binary64)) (*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x y) z)) #s(literal 2 binary64))) z))) |
(if (<=.f64 y #s(literal 2978978910536339/633825300114114700748351602688 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))) |
(if (<=.f64 y #s(literal 2978978910536339/633825300114114700748351602688 binary64)) (*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)) #s(approx (* 2 (sqrt (+ (+ (* x y) (* x z)) (* y z)))) (*.f64 #s(approx (+ (* (sqrt (/ (/ 1 (+ y x)) (pow z 3))) (* y x)) (* (sqrt (/ (+ y x) z)) 2)) (*.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))) z))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 y (+.f64 z x) (*.f64 z x)))) |
(*.f64 (sqrt.f64 (fma.f64 y (+.f64 x z) (*.f64 x z))) #s(literal 2 binary64)) |
(if (<=.f64 y #s(literal -8550347223747253/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))) |
(if (<=.f64 y #s(literal -8550347223747253/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104 binary64)) (*.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 z y) x))) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 x y) z))) #s(literal 2 binary64))) |
(if (<=.f64 y #s(literal -7090649168385425/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 y x) z))))) |
(if (<=.f64 y #s(literal -7090649168385425/17726622920963562283492833353875882150307419319860869157979152909707315649514250439943889552308992750523075148942386782770807567185698815677056677116184170553481231217950104164393978236130449019315710017470734562946173533283208371259654747728689409291887821024109648618981425152 binary64)) (*.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 x y))) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 (+.f64 x y) z))) #s(literal 2 binary64))) |
(if (<=.f64 y #s(literal -8550347223747253/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y))))) |
(if (<=.f64 y #s(literal -8550347223747253/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104 binary64)) (*.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 x y))) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 z y))) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 y x)))) |
(*.f64 (sqrt.f64 #s(approx (+ (+ (* x y) (* x z)) (* y z)) (*.f64 x y))) #s(literal 2 binary64)) |
| 11 034× | lower-fma.f64 |
| 11 034× | lower-fma.f32 |
| 8 534× | lower-fma.f64 |
| 8 534× | lower-fma.f32 |
| 7 868× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1628 | 23266 |
| 1 | 5646 | 22569 |
| 0 | 9100 | 21721 |
| 0 | 501 | 3429 |
| 1 | 1684 | 3363 |
| 2 | 6236 | 3318 |
| 0 | 8106 | 3177 |
| 0 | 11 | 44 |
| 0 | 18 | 36 |
| 1 | 55 | 36 |
| 2 | 435 | 36 |
| 3 | 6667 | 36 |
| 0 | 8469 | 33 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 331 to 165 computations (50.2% saved)
Compiled 616 to 268 computations (56.5% saved)
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