
Time bar (total: 14.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 6 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 7 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 8 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 9 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 10 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 11 |
| 80% | 49.9% | 12.5% | 0.2% | 0% | 37.4% | 0% | 12 |
Compiled 19 to 17 computations (10.5% saved)
| 1.9s | 8 256× | 0 | valid |
| 318.0ms | 2 119× | 0 | invalid |
ival-mult: 1.0s (67.5% of total)ival-sqrt: 161.0ms (10.9% of total)ival-exp: 139.0ms (9.4% of total)ival-div: 97.0ms (6.6% of total)ival-sub: 60.0ms (4.1% of total)exact: 11.0ms (0.7% of total)ival-true: 8.0ms (0.5% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 t t) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 84.0ms | 512× | 0 | valid |
Compiled 149 to 49 computations (67.1% saved)
ival-mult: 48.0ms (76.6% of total)ival-exp: 4.0ms (6.4% of total)ival-sub: 3.0ms (4.8% of total)ival-div: 3.0ms (4.8% of total)ival-sqrt: 3.0ms (4.8% of total)exact: 1.0ms (1.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 466× | times-frac |
| 1 444× | unsub-neg |
| 1 344× | lower-fma.f64 |
| 1 344× | lower-fma.f32 |
| 934× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 232 |
| 1 | 192 | 226 |
| 2 | 495 | 224 |
| 3 | 1536 | 224 |
| 4 | 4035 | 224 |
| 5 | 6477 | 224 |
| 0 | 15 | 17 |
| 0 | 24 | 16 |
| 1 | 36 | 16 |
| 2 | 58 | 16 |
| 3 | 115 | 16 |
| 4 | 246 | 16 |
| 5 | 375 | 16 |
| 6 | 507 | 16 |
| 7 | 817 | 16 |
| 8 | 1505 | 16 |
| 9 | 1943 | 16 |
| 10 | 2083 | 16 |
| 11 | 2101 | 16 |
| 12 | 2101 | 16 |
| 13 | 2121 | 16 |
| 14 | 2129 | 16 |
| 15 | 2129 | 16 |
| 0 | 2129 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (exp.f64 (*.f64 t t))))) |
(abs t)
Compiled 21 to 15 computations (28.6% saved)
Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
Compiled 21 to 15 computations (28.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| cost-diff | 64 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 1 344× | lower-fma.f64 |
| 1 344× | lower-fma.f32 |
| 922× | lower-*.f32 |
| 912× | lower-*.f64 |
| 418× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 62 |
| 0 | 24 | 60 |
| 1 | 36 | 60 |
| 2 | 58 | 60 |
| 3 | 115 | 60 |
| 4 | 246 | 60 |
| 5 | 375 | 60 |
| 6 | 507 | 60 |
| 7 | 817 | 60 |
| 8 | 1505 | 60 |
| 9 | 1943 | 60 |
| 10 | 2083 | 60 |
| 11 | 2101 | 60 |
| 12 | 2101 | 60 |
| 13 | 2121 | 60 |
| 14 | 2129 | 60 |
| 15 | 2129 | 60 |
| 0 | 2129 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
t |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (exp.f64 (*.f64 t t))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(sqrt.f64 (exp.f64 (*.f64 t t))) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) | |
| accuracy | 0.00390625 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| accuracy | 0.20703125 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 24.0ms | 256× | 0 | valid |
Compiled 64 to 17 computations (73.4% saved)
ival-mult: 7.0ms (48.9% of total)ival-div: 2.0ms (14% of total)ival-exp: 2.0ms (14% of total)ival-sqrt: 2.0ms (14% of total)ival-sub: 1.0ms (7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (*.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (pow t 2))) (taylor 0 t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (taylor 0 t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (taylor 0 t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (patch (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (pow t 2)) (taylor inf t) (#s(alt (/.f64 (*.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (*.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow t 2)) (taylor inf t) (#s(alt (/.f64 (*.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (*.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow t 2)) (taylor -inf t) (#s(alt (/.f64 (*.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (*.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow t 2)) (taylor -inf t) (#s(alt (/.f64 (*.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (*.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow t 2)) (taylor -inf t) (#s(alt (/.f64 (*.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (*.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (pow t 2)) (taylor -inf t) (#s(alt (/.f64 (*.f64 t t) #s(literal 2 binary64)) (patch (/.f64 (*.f64 t t) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | z | @ | 0 | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
| 2.0ms | x | @ | 0 | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
| 1.0ms | x | @ | -inf | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
| 1.0ms | y | @ | 0 | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
| 1.0ms | z | @ | -inf | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
| 1× | egg-herbie |
| 18 902× | lower-fma.f64 |
| 18 902× | lower-fma.f32 |
| 6 248× | lower-*.f64 |
| 6 248× | lower-*.f32 |
| 4 670× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 2071 |
| 1 | 446 | 1592 |
| 2 | 1556 | 1499 |
| 3 | 4446 | 1496 |
| 0 | 8851 | 1484 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* 1/2 x) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(* -1 y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
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(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(* 1/2 (pow t 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(* 1/2 (pow t 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(* 1/2 (pow t 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(* 1/2 (pow t 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(* 1/2 (pow t 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(* 1/2 (pow t 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
| 6 922× | lower-fma.f64 |
| 6 922× | lower-fma.f32 |
| 4 292× | lower-/.f32 |
| 4 290× | lower-/.f64 |
| 3 846× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 43 |
| 0 | 24 | 41 |
| 1 | 63 | 40 |
| 2 | 285 | 40 |
| 3 | 2343 | 40 |
| 0 | 8616 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| Outputs |
|---|
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (*.f64 t t))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 t (neg.f64 t)))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (E.f64)) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 t #s(literal 1/2 binary64)))) t)) |
(fabs.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(sqrt.f64 (exp.f64 (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 t (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))) |
(pow.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (*.f64 t t)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 t) (+.f64 (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 t t)) |
(pow.f64 (exp.f64 (*.f64 t (neg.f64 t))) #s(literal -1/2 binary64)) |
(pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (*.f64 t #s(literal 1/2 binary64))) t) |
(pow.f64 (exp.f64 (*.f64 t #s(literal 1/2 binary64))) (neg.f64 (neg.f64 t))) |
(pow.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (*.f64 t (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 t) #s(literal 1 binary64)) (*.f64 t #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 t t)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 t (neg.f64 t))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (neg.f64 t)) (neg.f64 t)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (neg.f64 (neg.f64 t))) t) |
(pow.f64 (pow.f64 (E.f64) t) (*.f64 t #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) #s(literal 1/2 binary64)) (*.f64 t t)) |
(pow.f64 (pow.f64 (E.f64) (*.f64 t (neg.f64 t))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (E.f64) #s(literal 1 binary64)) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) #s(literal -1 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) (neg.f64 t)) (/.f64 t #s(literal -2 binary64))) |
(pow.f64 (pow.f64 (E.f64) (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) #s(literal -1/2 binary64)) (*.f64 t (neg.f64 t))) |
(pow.f64 (pow.f64 (E.f64) (pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) t)) (*.f64 t #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 t)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 (*.f64 t #s(literal 1/2 binary64))) (sqrt.f64 t)) (sqrt.f64 t)) |
(pow.f64 (*.f64 (exp.f64 (*.f64 t t)) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (exp.f64 t) (exp.f64 t)) (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (neg.f64 t)) (/.f64 t #s(literal -2 binary64))) |
(pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 t (neg.f64 t))) |
(pow.f64 (exp.f64 (pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (*.f64 #s(literal 1 binary64) t)) (*.f64 t #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 t)))) #s(literal -1/2 binary64)) |
(*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/4 binary64)))) |
(*.f64 (exp.f64 (*.f64 t (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (exp.f64 (*.f64 t (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (sqrt.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (neg.f64 y))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(+.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(fma.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(fma.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (neg.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (neg.f64 y) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (+.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (*.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (+.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 y y))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))) (neg.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)))) (pow.f64 (neg.f64 (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 (neg.f64 (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 y (*.f64 x #s(literal 1/2 binary64))) (-.f64 y (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) |
(*.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) |
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))))) (fma.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y))))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/512 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(/.f64 t (/.f64 #s(literal 2 binary64) t)) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))) |
(/.f64 (*.f64 t (neg.f64 t)) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (*.f64 t #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 t t))) |
(/.f64 (neg.f64 t) (neg.f64 (/.f64 #s(literal 2 binary64) t))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 2 binary64) t)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 t))) #s(literal -2 binary64)) |
(/.f64 (*.f64 t #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) t)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) t)) (neg.f64 (/.f64 #s(literal 2 binary64) t))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 t)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 2 binary64) t))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))) |
(pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) (/.f64 #s(literal 2 binary64) (*.f64 t t))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) #s(literal -1 binary64)) |
(*.f64 t (*.f64 t #s(literal 1/2 binary64))) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(*.f64 (*.f64 t (neg.f64 t)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 t #s(literal 1/2 binary64)) t) |
(*.f64 (*.f64 t #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 t) (/.f64 t #s(literal -2 binary64))) |
(*.f64 (neg.f64 t) (*.f64 t #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 t (neg.f64 t))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) t) (*.f64 t #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 t))) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
Compiled 20 857 to 1 749 computations (91.6% saved)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 557 | 18 | 575 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 558 | 18 | 576 |
| Status | Accuracy | Program |
|---|---|---|
| 75.0% | (/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| 99.7% | (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) | |
| 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))) | |
| 99.6% | (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) | |
| ▶ | 77.7% | (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) |
| ▶ | 99.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
| 74.9% | (*.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) | |
| 97.0% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 93.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
| 89.6% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) | |
| ▶ | 60.9% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 99.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) | |
| 92.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))) | |
| 89.4% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))) | |
| ▶ | 60.4% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) |
| 93.9% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))) | |
| 60.8% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
Compiled 922 to 610 computations (33.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 1/4 binary64))) | |
| cost-diff | 0 | (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) | |
| cost-diff | 0 | (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
| 5 076× | lower-fma.f32 |
| 5 070× | lower-fma.f64 |
| 3 414× | lower-*.f32 |
| 3 376× | lower-*.f64 |
| 1 008× | lower-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 418 |
| 0 | 87 | 412 |
| 1 | 154 | 412 |
| 2 | 286 | 408 |
| 3 | 718 | 408 |
| 4 | 1532 | 408 |
| 5 | 2072 | 408 |
| 6 | 2790 | 408 |
| 7 | 3936 | 408 |
| 8 | 5288 | 408 |
| 9 | 7039 | 408 |
| 10 | 7735 | 408 |
| 0 | 8022 | 408 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
#s(literal 2 binary64) |
(*.f64 z (exp.f64 (*.f64 t t))) |
z |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
t |
(*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(*.f64 t #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)) |
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
#s(literal 1/2 binary64) |
(*.f64 t t) |
t |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 z) |
z |
(neg.f64 y) |
y |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
x |
(*.f64 x #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 y y) |
y |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
#s(literal 2 binary64) |
(*.f64 z (exp.f64 (*.f64 t t))) |
z |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(fma.f64 x #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
#s(literal 2 binary64) |
(*.f64 z (exp.f64 (*.f64 t t))) |
z |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(neg.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x #s(literal -1/2 binary64) y)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
t |
(*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(*.f64 t #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 z))) (neg.f64 y))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 z))) (neg.f64 y)) |
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 z))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
#s(literal 1/2 binary64) |
(*.f64 t t) |
t |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 z) |
z |
(neg.f64 y) |
y |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) |
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
x |
(*.f64 x #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 y y) |
y |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
#s(literal 2 binary64) |
(*.f64 z (exp.f64 (*.f64 t t))) |
z |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(fma.f64 x #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (*.f64 z (exp.f64 (*.f64 t t))) | |
| accuracy | 0.125 | (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| accuracy | 3.6913938649812352 | (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) | |
| accuracy | 12.05107447422661 | (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) | |
| accuracy | 0.00390625 | (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) | |
| accuracy | 0.1328125 | (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)) | |
| accuracy | 0.21388627930532603 | (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) | |
| accuracy | 25.28120250516537 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) | |
| accuracy | 0.03125 | (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0.03515625 | (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) | |
| accuracy | 0.20703125 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 6.797633997395198 | #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| accuracy | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| accuracy | 0.20703125 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 29.07349955077449 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) | |
| accuracy | 0 | (exp.f64 (*.f64 t t)) | |
| accuracy | 0.00390625 | (*.f64 z (exp.f64 (*.f64 t t))) | |
| accuracy | 0.1171875 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
| 156.0ms | 256× | 0 | valid |
Compiled 383 to 46 computations (88% saved)
ival-mult: 56.0ms (57.7% of total)ival-div: 22.0ms (22.7% of total)ival-sqrt: 6.0ms (6.2% of total)ival-exp: 5.0ms (5.1% of total)ival-add: 3.0ms (3.1% of total)ival-sub: 2.0ms (2.1% of total)exact: 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)| Inputs |
|---|
#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/2 binary64)) (patch (*.f64 x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)) (patch (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (patch (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) (patch (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (patch (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (patch (*.f64 x (*.f64 x #s(literal 1/4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 1/4 binary64)) (patch (*.f64 x #s(literal 1/4 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z (exp.f64 (*.f64 t t))) (patch (*.f64 z (exp.f64 (*.f64 t t))) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 t t)) (patch (exp.f64 (*.f64 t t)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (patch (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (patch (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (patch (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor 0 x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor 0 y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor inf y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) (taylor inf y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) (taylor inf y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) (taylor inf y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2))))) (taylor inf y) (#s(alt (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) y) (taylor inf y) (#s(alt (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))) y) (taylor inf y) (#s(alt (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (+ (* -1/8 (* (/ (* (pow x 3) (sqrt 2)) (pow y 3)) (sqrt (* z (exp (pow t 2)))))) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) y) (taylor inf y) (#s(alt (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2))))) (taylor -inf y) (#s(alt (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y)) (taylor -inf y) (#s(alt (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y))) y)) (taylor -inf y) (#s(alt (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/8 (* (/ (* (pow x 3) (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y)) (* -1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) y))) y)) (taylor -inf y) (#s(alt (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
153 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | z | @ | 0 | (* (- (* x (* x 1/4)) (* y y)) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y))) |
| 7.0ms | t | @ | 0 | (* (- (* x (* x 1/4)) (* y y)) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y))) |
| 4.0ms | t | @ | 0 | (* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t)))))) |
| 1.0ms | z | @ | -inf | (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) |
| 1.0ms | x | @ | 0 | (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y)) |
| 1× | egg-herbie |
| 10 580× | lower-fma.f64 |
| 10 580× | lower-fma.f32 |
| 9 842× | lower-*.f64 |
| 9 842× | lower-*.f32 |
| 2 004× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 540 | 11788 |
| 1 | 1751 | 10232 |
| 2 | 6119 | 9799 |
| 0 | 8097 | 9563 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* 1/2 x) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(* -1 y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* (sqrt z) (sqrt 2)) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z))))))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
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(sqrt 2) |
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(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))))) |
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(+ (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))) (sqrt z))) (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))) |
(+ (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (* (- (* 1/4 (pow x 2)) (pow y 2)) (- (* 1/2 z) (* 1/4 z))))) (+ y (* 1/2 x))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (* (sqrt 2) (* (- (* 1/4 (pow x 2)) (pow y 2)) (- (* 1/2 z) (* 1/4 z)))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/4 (pow x 2)) (pow y 2))))) (+ y (* 1/2 x))) (sqrt (/ 1 z))))))))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* -1 (pow y 2)) |
(- (* 1/4 (pow x 2)) (pow y 2)) |
(- (* 1/4 (pow x 2)) (pow y 2)) |
(- (* 1/4 (pow x 2)) (pow y 2)) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) |
(* 1/4 (pow x 2)) |
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2))) |
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2))) |
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
z |
(+ z (* (pow t 2) z)) |
(+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z))))) |
(+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z)))))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
1 |
(+ 1 (pow t 2)) |
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(* 1/2 t) |
(* t (+ 1/2 (* 1/8 (pow t 2)))) |
(* t (+ 1/2 (* 1/8 (pow t 2)))) |
(* t (+ 1/2 (* 1/8 (pow t 2)))) |
(* 1/8 (pow t 3)) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* 1/8 (pow t 3)) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 3) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(* 1/8 (pow t 4)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* 1/8 (pow t 4)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (sqrt -1)) (+ y (* 1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (sqrt -1)) (+ y (* 1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (sqrt -1)) (+ y (* 1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (sqrt -1)) (+ y (* 1/2 x))))) |
(* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(+ (* 1/2 (* (/ (* (pow t 2) (sqrt 2)) (+ y (* 1/2 x))) (sqrt z))) (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x))))) |
(+ (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (+ y (* 1/2 x))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x))))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (+ y (* 1/2 x))) (sqrt (/ 1 z))))))))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2))))) |
(+ (* -1/2 (* (/ (* x (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2)))))) |
(+ (* x (+ (* -1/2 (* (/ (sqrt 2) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (/ (* x (sqrt 2)) (pow y 3)) (sqrt (* z (exp (pow t 2)))))))) (* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2)))))) |
(+ (* x (+ (* -1/2 (* (/ (sqrt 2) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* x (+ (* -1/8 (* (/ (* x (sqrt 2)) (pow y 4)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (/ (sqrt 2) (pow y 3)) (sqrt (* z (exp (pow t 2)))))))))) (* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2)))))) |
(* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))) |
(/ (+ (* -4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))) x) |
(/ (+ (* -4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (+ (* 2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 8 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2)))))))) x) |
(/ (+ (* -16 (* (/ (* (pow y 3) (sqrt 2)) (pow x 3)) (sqrt (* z (exp (pow t 2)))))) (+ (* -4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (+ (* 2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 8 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2))))))))) x) |
(* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (/ (+ (* -2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))) x)) |
(* -1 (/ (+ (* -2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -4 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 8 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))) x))) x)) |
(* -1 (/ (+ (* -2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -4 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* -1 (/ (+ (* -8 (* (* (pow y 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 16 (* (/ (* (pow y 3) (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))) x))) x))) x)) |
(* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -4 (* (/ (* y (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2))))))) |
(+ (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -4 (* (/ (sqrt 2) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* 8 (* (/ (* y (sqrt 2)) (pow x 3)) (sqrt (* z (exp (pow t 2))))))))) |
(+ (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -4 (* (/ (sqrt 2) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -16 (* (/ (* y (sqrt 2)) (pow x 4)) (sqrt (* z (exp (pow t 2)))))) (* 8 (* (/ (sqrt 2) (pow x 3)) (sqrt (* z (exp (pow t 2))))))))))) |
(* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2))))) |
(/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) y) |
(/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))) y) |
(/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (+ (* -1/8 (* (/ (* (pow x 3) (sqrt 2)) (pow y 3)) (sqrt (* z (exp (pow t 2)))))) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) y) |
(* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2))))) |
(* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y)) |
(* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y))) y)) |
(* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/8 (* (/ (* (pow x 3) (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y)) (* -1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) y))) y)) |
| Outputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(neg.f64 (*.f64 x (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 y x)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(neg.f64 (*.f64 x (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 y x)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(neg.f64 (*.f64 x (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 y x)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
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(/.f64 (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 y y)) #s(literal 1/4 binary64)))) y) |
(/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (+ (* -1/8 (* (/ (* (pow x 3) (sqrt 2)) (pow y 3)) (sqrt (* z (exp (pow t 2)))))) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) y) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (*.f64 y (*.f64 y y)))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 y y)) (sqrt.f64 #s(literal 2 binary64))))) y) |
(* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) |
(* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y))) y)) |
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) y))) y)) y) |
(* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/8 (* (/ (* (pow x 3) (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y)) (* -1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) y))) y)) |
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) y))) y)) y)) y) |
| 6 672× | lower-fma.f32 |
| 6 666× | lower-fma.f64 |
| 5 150× | lower-*.f32 |
| 5 112× | lower-*.f64 |
| 4 660× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 278 |
| 0 | 87 | 258 |
| 1 | 233 | 252 |
| 2 | 1266 | 252 |
| 0 | 8683 | 252 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y)) |
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
(*.f64 x #s(literal 1/4 binary64)) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(exp.f64 (*.f64 t t)) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 y (neg.f64 y)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (*.f64 y (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (neg.f64 (*.f64 y (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 y (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))) (/.f64 (*.f64 y y) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 y (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 (*.f64 y (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (*.f64 y (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 y (neg.f64 y)))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y))) (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y))) (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 y)))))) |
(/.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (*.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x))) (*.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x))))))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 (*.f64 (*.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x))) (*.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)))))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 (*.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x))) (*.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)))))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y)))) (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)))) (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))) |
(pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y)))) (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y)))) (/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))))) |
(*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y)))) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (/.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y)))) (/.f64 (sqrt.f64 z) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (/.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))))) |
(*.f64 (/.f64 (sqrt.f64 z) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 z) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y)))) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y)))) (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal -1/2 binary64))) |
Compiled 76 371 to 3 552 computations (95.3% saved)
34 alts after pruning (32 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 105 | 29 | 2 134 |
| Fresh | 10 | 3 | 13 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 118 | 34 | 2 152 |
| Status | Accuracy | Program |
|---|---|---|
| 50.4% | (/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| 60.8% | (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) | |
| 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) | |
| 94.8% | (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) | |
| ▶ | 99.7% | (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
| 47.0% | (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))) | |
| ✓ | 99.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
| 89.9% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))) | |
| 60.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) | |
| 58.2% | (*.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 93.7% | (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) | |
| 97.0% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) | |
| 89.6% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| 60.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (/.f64 (fma.f64 (*.f64 (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal -1 binary64)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) | |
| ✓ | 60.9% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 60.8% | (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 21.1% | (*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 57.9% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| ▶ | 59.0% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 57.6% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| 32.7% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 54.8% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| ▶ | 31.2% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| ▶ | 94.4% | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
| 61.8% | (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) | |
| 60.4% | (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) | |
| 57.6% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| 54.8% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| 67.6% | #s(approx (* (- (* x (* x 1/4)) (* y y)) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y)))) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y)))) (fma.f64 #s(literal 1/2 binary64) x y))))) | |
| ▶ | 57.8% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) |
| 52.1% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) | |
| 31.1% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) | |
| 60.8% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) | |
| 31.1% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z)))))) |
Compiled 1 622 to 1 049 computations (35.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) | |
| cost-diff | 640 | (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 960 | (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| cost-diff | 0 | #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| cost-diff | 704 | (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- (* x 1/2) y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 x #s(literal 1/2 binary64) y) | |
| cost-diff | 320 | (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) | |
| cost-diff | 1088 | (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) | |
| cost-diff | 1472 | (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) |
| 6 116× | lower-fma.f32 |
| 6 102× | lower-fma.f64 |
| 3 300× | lower-*.f32 |
| 3 266× | lower-*.f64 |
| 2 558× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 623 |
| 0 | 106 | 599 |
| 1 | 217 | 591 |
| 2 | 509 | 575 |
| 3 | 1338 | 575 |
| 4 | 2832 | 569 |
| 5 | 7324 | 569 |
| 0 | 8193 | 558 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) |
(fma.f64 x #s(literal 1/2 binary64) y) |
x |
#s(literal 1/2 binary64) |
y |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
x |
(-.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
(fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(*.f64 t #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
x |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y)) |
(*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) |
#s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 t t) |
t |
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
#s(literal 1/48 binary64) |
#s(literal 1/8 binary64) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 z) |
z |
(neg.f64 y) |
y |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal 1/2 binary64) y) |
x |
#s(literal 1/2 binary64) |
y |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(neg.f64 y) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (- (* x 1/2) y) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
#s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
#s(approx (- (* x 1/2) y) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
x |
(-.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
(fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(*.f64 t #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
x |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 y (sqrt.f64 z))))) |
(*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y)) |
(*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 y (sqrt.f64 z)))) |
(*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) |
(*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 z)) |
#s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 t t) |
t |
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
(fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) |
#s(literal 1/48 binary64) |
#s(literal 1/8 binary64) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) |
#s(literal 1/2 binary64) |
(sqrt.f64 z) |
z |
(neg.f64 y) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1328125 | (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y)) | |
| accuracy | 0.21388627930532603 | (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) | |
| accuracy | 0.6155270456366302 | #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 16.832778599846534 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) | |
| accuracy | 0.0078125 | (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.1171875 | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| accuracy | 0.6355187604591207 | #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| accuracy | 0.1171875 | (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 0.7375620507744869 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 5.147939953049018 | (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| accuracy | 0.1171875 | (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 0.7375620507744869 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 17.1702254726427 | #s(approx (- (* x 1/2) y) (neg.f64 y)) | |
| accuracy | 0 | (exp.f64 (*.f64 t t)) | |
| accuracy | 0.00390625 | (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) | |
| accuracy | 0.12109375 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) | |
| accuracy | 0.14453125 | (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
| 152.0ms | 117× | 0 | exit |
| 60.0ms | 138× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 457 to 57 computations (87.5% saved)
ival-add: 112.0ms (61% of total)ival-mult: 35.0ms (19.1% of total)ival-sqrt: 12.0ms (6.5% of total)ival-div: 8.0ms (4.4% of total)ival-sub: 6.0ms (3.3% of total)ival-exp: 5.0ms (2.7% of total)const: 4.0ms (2.2% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) (patch (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 1/2 binary64) y) (patch (fma.f64 x #s(literal 1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x 1/2) y) (neg.f64 y)) (patch #s(approx (- (* x 1/2) y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (patch (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (patch #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (patch (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (patch (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (patch (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (patch (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y)) (patch (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) (patch (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ()) |
#s(alt (exp.f64 (*.f64 t t)) (patch (exp.f64 (*.f64 t t)) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (patch (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (patch (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) #<representation binary64>) () ())) ()) |
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180 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | (* (exp (* t t)) (* 2 z)) |
| 1.0ms | t | @ | inf | (/ 1 (sqrt (* (exp (* t t)) (* 2 z)))) |
| 1.0ms | z | @ | 0 | (/ 1 (sqrt (* (exp (* t t)) (* 2 z)))) |
| 1.0ms | t | @ | 0 | (/ 1 (sqrt (* (exp (* t t)) (* 2 z)))) |
| 1.0ms | z | @ | -inf | (/ 1 (sqrt (* (exp (* t t)) (* 2 z)))) |
| 1× | egg-herbie |
| 15 288× | lower-fma.f64 |
| 15 288× | lower-fma.f32 |
| 7 590× | lower-*.f64 |
| 7 590× | lower-*.f32 |
| 3 306× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 381 | 13132 |
| 1 | 1291 | 11115 |
| 2 | 4496 | 9950 |
| 0 | 8067 | 9801 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
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1 |
1 |
1 |
1 |
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1 |
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1 |
1 |
1 |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
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(* -1 y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
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(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 x) |
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(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* 1/2 x) |
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(+ (* -1 y) (* 1/2 x)) |
(* -1 y) |
(* y (- (* 1/2 (/ x y)) 1)) |
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(* -1 y) |
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(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
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(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
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(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
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(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(- (* 1/2 x) y) |
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y) |
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y) |
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y) |
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y)) |
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(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y)) |
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(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2)))))) |
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(* 1/2 (* x (exp (* 1/2 (pow t 2))))) |
(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x)))) |
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(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x)))) |
(* 1/2 (* x (exp (* 1/2 (pow t 2))))) |
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2)))))) |
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2)))))) |
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2)))))) |
(* -1 (* y (exp (* 1/2 (pow t 2))))) |
(* y (+ (* -1 (exp (* 1/2 (pow t 2)))) (* 1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y)))) |
(* y (+ (* -1 (exp (* 1/2 (pow t 2)))) (* 1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y)))) |
(* y (+ (* -1 (exp (* 1/2 (pow t 2)))) (* 1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y)))) |
(* -1 (* y (exp (* 1/2 (pow t 2))))) |
(* -1 (* y (+ (exp (* 1/2 (pow t 2))) (* -1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y))))) |
(* -1 (* y (+ (exp (* 1/2 (pow t 2))) (* -1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y))))) |
(* -1 (* y (+ (exp (* 1/2 (pow t 2))) (* -1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y))))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(* 1/8 (pow t 4)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* 1/8 (pow t 4)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* 1/2 (sqrt 2)) |
(+ (* 1/8 (* (pow t 2) (sqrt 2))) (* 1/2 (sqrt 2))) |
(+ (* 1/2 (sqrt 2)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (sqrt 2))) (* 1/8 (sqrt 2))))) |
(+ (* 1/2 (sqrt 2)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (sqrt 2))) (* 1/8 (sqrt 2))))) |
(* 1/48 (* (pow t 4) (sqrt 2))) |
(* (pow t 4) (+ (* 1/48 (sqrt 2)) (* 1/8 (/ (sqrt 2) (pow t 2))))) |
(* (pow t 4) (+ (* 1/48 (sqrt 2)) (+ (* 1/8 (/ (sqrt 2) (pow t 2))) (* 1/2 (/ (sqrt 2) (pow t 4)))))) |
(* (pow t 4) (+ (* 1/48 (sqrt 2)) (+ (* 1/8 (/ (sqrt 2) (pow t 2))) (* 1/2 (/ (sqrt 2) (pow t 4)))))) |
(* 1/48 (* (pow t 4) (sqrt 2))) |
(* (pow t 4) (+ (* 1/48 (sqrt 2)) (* 1/8 (/ (sqrt 2) (pow t 2))))) |
(* (pow t 4) (+ (* 1/48 (sqrt 2)) (+ (* 1/8 (/ (sqrt 2) (pow t 2))) (* 1/2 (/ (sqrt 2) (pow t 4)))))) |
(* (pow t 4) (+ (* 1/48 (sqrt 2)) (+ (* 1/8 (/ (sqrt 2) (pow t 2))) (* 1/2 (/ (sqrt 2) (pow t 4)))))) |
(sqrt 2) |
(+ (sqrt 2) (* 1/2 (* (pow t 2) (sqrt 2)))) |
(+ (sqrt 2) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (sqrt 2))) (* 1/2 (sqrt 2))))) |
(+ (sqrt 2) (* (pow t 2) (+ (* 1/2 (sqrt 2)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (sqrt 2))) (* 1/8 (sqrt 2))))))) |
(* 1/48 (* (pow t 6) (sqrt 2))) |
(* (pow t 6) (+ (* 1/48 (sqrt 2)) (* 1/8 (/ (sqrt 2) (pow t 2))))) |
(* (pow t 6) (+ (* 1/48 (sqrt 2)) (+ (* 1/8 (/ (sqrt 2) (pow t 2))) (* 1/2 (/ (sqrt 2) (pow t 4)))))) |
(* (pow t 6) (+ (* 1/48 (sqrt 2)) (+ (* 1/8 (/ (sqrt 2) (pow t 2))) (+ (* 1/2 (/ (sqrt 2) (pow t 4))) (/ (sqrt 2) (pow t 6)))))) |
(* 1/48 (* (pow t 6) (sqrt 2))) |
(* (pow t 6) (+ (* 1/48 (sqrt 2)) (* 1/8 (/ (sqrt 2) (pow t 2))))) |
(* (pow t 6) (+ (* 1/48 (sqrt 2)) (+ (* 1/8 (/ (sqrt 2) (pow t 2))) (* 1/2 (/ (sqrt 2) (pow t 4)))))) |
(* (pow t 6) (+ (* 1/48 (sqrt 2)) (+ (* 1/8 (/ (sqrt 2) (pow t 2))) (+ (* 1/2 (/ (sqrt 2) (pow t 4))) (/ (sqrt 2) (pow t 6)))))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
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(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
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(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* -1/2 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* -1/2 (* (* y (sqrt 2)) (sqrt z))) (* -1/8 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* -1/2 (* (* y (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* -1/8 (* (* y (sqrt 2)) (sqrt z))) (* -1/48 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z)))))))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* (* y (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (sqrt 2)))) (sqrt z)) |
(* (* y (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (sqrt 2)))) (sqrt z)) |
(* (* y (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (sqrt 2)))) (sqrt z)) |
(* (* y (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (sqrt 2)))) (sqrt z)) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* (sqrt (/ 1 z)) (/ 1 (sqrt 2))) |
(+ (* -1/2 (* (/ (pow t 2) (sqrt 2)) (sqrt (/ 1 z)))) (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) |
(+ (* (sqrt (/ 1 z)) (/ 1 (sqrt 2))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* 1/8 (* (/ (pow t 2) (sqrt 2)) (sqrt (/ 1 z))))))) |
(+ (* (sqrt (/ 1 z)) (/ 1 (sqrt 2))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* (pow t 2) (+ (* -1/48 (* (/ (pow t 2) (sqrt 2)) (sqrt (/ 1 z)))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2))))))))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (sqrt -2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (sqrt -2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (sqrt -2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (sqrt -2))) |
(* 2 z) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z)))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z))))))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
1 |
(+ 1 (pow t 2)) |
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(sqrt 2) |
(+ (sqrt 2) (* 1/2 (* (pow t 2) (sqrt 2)))) |
(+ (sqrt 2) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (sqrt 2))) (* 1/2 (sqrt 2))))) |
(+ (sqrt 2) (* (pow t 2) (+ (* 1/2 (sqrt 2)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (sqrt 2))) (* 1/8 (sqrt 2))))))) |
(* (exp (* 1/2 (pow t 2))) (sqrt 2)) |
(* (exp (* 1/2 (pow t 2))) (sqrt 2)) |
(* (exp (* 1/2 (pow t 2))) (sqrt 2)) |
(* (exp (* 1/2 (pow t 2))) (sqrt 2)) |
(* (exp (* 1/2 (pow t 2))) (sqrt 2)) |
(* (exp (* 1/2 (pow t 2))) (sqrt 2)) |
(* (exp (* 1/2 (pow t 2))) (sqrt 2)) |
(* (exp (* 1/2 (pow t 2))) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2)))))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (sqrt 2))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (sqrt 2))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (sqrt 2))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (sqrt 2))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))) |
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1 |
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(exp (* 1/2 (pow t 2))) |
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(exp (* 1/2 (pow t 2))) |
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(exp (* 1/2 (pow t 2))) |
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(exp (* 1/2 (pow t 2))) |
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1 |
#s(literal 1 binary64) |
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(sqrt 2) |
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(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* 1/2 (* (pow t 2) (sqrt 2)))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (sqrt 2))) (* 1/2 (sqrt 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+ (sqrt 2) (* (pow t 2) (+ (* 1/2 (sqrt 2)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (sqrt 2))) (* 1/8 (sqrt 2))))))) |
(fma.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(* (exp (* 1/2 (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(* (exp (* 1/2 (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(* (exp (* 1/2 (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(* (exp (* 1/2 (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(* (exp (* 1/2 (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(* (exp (* 1/2 (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(* (exp (* 1/2 (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(* (exp (* 1/2 (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2)))))))) |
(fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (sqrt 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (sqrt 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (sqrt 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (sqrt 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
| 5 210× | lower-*.f32 |
| 5 176× | lower-*.f64 |
| 4 256× | lower-fma.f32 |
| 4 242× | lower-fma.f64 |
| 4 116× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 485 |
| 0 | 106 | 456 |
| 1 | 365 | 446 |
| 2 | 2463 | 446 |
| 0 | 9199 | 446 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(fma.f64 x #s(literal 1/2 binary64) y) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
(neg.f64 y) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(exp.f64 (*.f64 t t)) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) |
| Outputs |
|---|
#s(literal 1 binary64) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 (-.f64 y (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) #s(literal 1 binary64)) (/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 (*.f64 y y) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) #s(literal 1 binary64))) |
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#s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) |
Compiled 44 341 to 2 360 computations (94.7% saved)
42 alts after pruning (39 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 425 | 19 | 1 444 |
| Fresh | 7 | 20 | 27 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 436 | 42 | 1 478 |
| Status | Accuracy | Program |
|---|---|---|
| 50.4% | (/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| 60.8% | (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) | |
| ▶ | 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
| 94.8% | (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) | |
| 60.8% | (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* (exp (* t t)) (* 2 z)) (*.f64 #s(literal 2 binary64) z)))))) | |
| 47.0% | (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))) | |
| ✓ | 99.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
| 89.9% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))) | |
| 58.2% | (*.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 89.6% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| 21.1% | (*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 94.3% | (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| 31.1% | (*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 44.8% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) x) (+.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 57.9% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| ✓ | 59.0% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| ▶ | 57.6% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
| 32.7% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 57.1% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) | |
| 54.8% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) | |
| 50.7% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| 54.8% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| ✓ | 31.2% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 97.4% | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| ▶ | 90.3% | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
| 43.6% | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 61.8% | (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) | |
| 60.4% | (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) | |
| ▶ | 57.6% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
| 54.8% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| ▶ | 60.9% | (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
| 60.8% | #s(approx (* (/ (+ (* x 1/2) y) (+ (* x 1/2) y)) (/ (+ (* x 1/2) (neg y)) (/ 1 (sqrt (* (exp (* t t)) (* 2 z)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) | |
| 92.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 t t) (*.f64 t t))))) | |
| 57.8% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) #s(approx (+ (* (* t t) (* (sqrt 2) (+ (* (* t t) 1/48) 1/8))) (* (sqrt 2) 1/2)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/48 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) | |
| 52.1% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) | |
| 56.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 z)) (neg.f64 y))) | |
| 31.1% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) | |
| 60.8% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) | |
| 57.8% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))) (neg.f64 y))) | |
| 52.1% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) (neg.f64 y))) | |
| 50.7% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))) | |
| 31.1% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))))) |
Compiled 1 952 to 1 281 computations (34.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) | |
| cost-diff | 0 | #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 128 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) | |
| cost-diff | 1280 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
| 2 984× | lower-fma.f32 |
| 2 976× | lower-fma.f64 |
| 2 360× | lower-*.f32 |
| 2 324× | lower-*.f64 |
| 1 174× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 487 |
| 0 | 96 | 478 |
| 1 | 175 | 474 |
| 2 | 325 | 474 |
| 3 | 641 | 474 |
| 4 | 974 | 474 |
| 5 | 1446 | 474 |
| 6 | 2134 | 474 |
| 7 | 2899 | 474 |
| 8 | 3733 | 474 |
| 9 | 4147 | 474 |
| 10 | 4259 | 474 |
| 11 | 4366 | 474 |
| 12 | 4465 | 474 |
| 13 | 5108 | 474 |
| 14 | 5439 | 474 |
| 15 | 5489 | 474 |
| 16 | 5549 | 474 |
| 17 | 5564 | 474 |
| 18 | 5576 | 474 |
| 19 | 5588 | 474 |
| 20 | 5600 | 474 |
| 21 | 5606 | 474 |
| 22 | 5608 | 474 |
| 23 | 5764 | 474 |
| 24 | 6124 | 474 |
| 25 | 6148 | 474 |
| 26 | 6148 | 474 |
| 0 | 6148 | 472 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
#s(literal 2 binary64) |
(*.f64 z (exp.f64 (*.f64 t t))) |
z |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
x |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
t |
(*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(*.f64 t #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
t |
(*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(*.f64 t #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal -1/2 binary64) y))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
#s(literal 2 binary64) |
(*.f64 z (exp.f64 (*.f64 t t))) |
z |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
#s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
x |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64)))) |
#s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
t |
(*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(*.f64 t #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
t |
(*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(*.f64 t #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.14453125 | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) | |
| accuracy | 0.2421875 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) | |
| accuracy | 0.6355187604591207 | #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| accuracy | 16.63263426028559 | #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| accuracy | 0.12109375 | (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 0.6355187604591207 | #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| accuracy | 17.010259163470106 | #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| accuracy | 0.6558513901509956 | #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) | |
| accuracy | 0.12109375 | (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| accuracy | 0.7144367602347523 | #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) | |
| accuracy | 0.00390625 | (*.f64 z (exp.f64 (*.f64 t t))) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) | |
| accuracy | 0.1640625 | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) | |
| accuracy | 0.29163925332186214 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
| 76.0ms | 117× | 0 | exit |
| 53.0ms | 139× | 0 | valid |
Compiled 390 to 47 computations (87.9% saved)
ival-mult: 29.0ms (50.5% of total)ival-div: 8.0ms (13.9% of total)ival-sqrt: 8.0ms (13.9% of total)ival-add: 5.0ms (8.7% of total)ival-exp: 4.0ms (7% of total)ival-sub: 3.0ms (5.2% of total)exact: 1.0ms (1.7% of total)ival-neg: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (patch (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (patch (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (patch (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (patch #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (patch (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) x) (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (patch (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (patch (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (patch #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (patch (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) (patch #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 z (exp.f64 (*.f64 t t))) (patch (*.f64 z (exp.f64 (*.f64 t t))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #<representation binary64>) () ())) ()) |
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#s(alt (* z (exp (pow t 2))) (taylor -inf t) (#s(alt (*.f64 z (exp.f64 (*.f64 t t))) (patch (*.f64 z (exp.f64 (*.f64 t t))) #<representation binary64>) () ())) ()) |
#s(alt (* z (exp (pow t 2))) (taylor -inf t) (#s(alt (*.f64 z (exp.f64 (*.f64 t t))) (patch (*.f64 z (exp.f64 (*.f64 t t))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (sqrt 2)) (taylor 0 z) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (sqrt 2)) (taylor 0 z) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (sqrt 2)) (taylor 0 z) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (sqrt 2)) (taylor 0 z) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (sqrt 2)) (taylor inf z) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (sqrt 2)) (taylor inf z) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (sqrt 2)) (taylor inf z) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (sqrt 2)) (taylor inf z) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) (taylor -inf z) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) (taylor -inf z) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) (taylor -inf z) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) (taylor -inf z) (#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (taylor 0 t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (taylor 0 t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (exp (* 1/2 (pow t 2))) (taylor -inf t) (#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
165 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/ 1 (- (* x 1/2) y)) |
| 1.0ms | x | @ | 0 | (* (* (sqrt 2) x) (* (sqrt z) 1/2)) |
| 1.0ms | x | @ | 0 | (/ (/ 1 (- (* x 1/2) y)) (sqrt (* 2 (* z (exp (* t t)))))) |
| 1.0ms | z | @ | -inf | (/ (/ 1 (- (* x 1/2) y)) (sqrt (* 2 (* z (exp (* t t)))))) |
| 1.0ms | z | @ | -inf | (* (* (sqrt 2) x) (* (sqrt z) 1/2)) |
| 1× | egg-herbie |
| 9 230× | lower-fma.f64 |
| 9 230× | lower-fma.f32 |
| 7 822× | lower-*.f64 |
| 7 822× | lower-*.f32 |
| 2 532× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 580 | 11428 |
| 1 | 1830 | 10697 |
| 2 | 6015 | 9730 |
| 0 | 8050 | 9584 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) |
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/2 (* (/ x (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) |
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/4 (* (/ x (* (pow y 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))) |
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* x (+ (* -1/4 (* (/ 1 (* (pow y 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/8 (* (/ x (* (pow y 4) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))))) |
(* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) |
(/ (+ (* 2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) x) |
(/ (+ (* 2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (+ (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 8 (* (/ (pow y 2) (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))) x) |
(/ (+ (* 2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (+ (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (+ (* 8 (* (/ (pow y 2) (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 16 (* (/ (pow y 3) (* (pow x 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))) x) |
(* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) |
(* -1 (/ (+ (* -4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))))) x)) |
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (* -1 (/ (+ (* 4 (* (/ y (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 8 (* (/ (pow y 2) (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) x))) x)) |
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -16 (* (/ (pow y 3) (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -8 (* (/ (pow y 2) (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2)))))))) x)) (* 4 (* (/ y (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2)))))))) x))) x)) |
(* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) |
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 4 (* (/ y (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) |
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 8 (* (/ y (* (pow x 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))) |
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* y (+ (* 8 (* (/ 1 (* (pow x 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 16 (* (/ y (* (pow x 4) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))))) |
(* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) |
(/ (+ (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) y) |
(/ (+ (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (+ (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/4 (* (/ (pow x 2) (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))) y) |
(/ (+ (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (+ (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (+ (* -1/4 (* (/ (pow x 2) (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/8 (* (/ (pow x 3) (* (pow y 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))) y) |
(* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) |
(* -1 (/ (+ (* 1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ x (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/4 (* (/ (pow x 2) (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) y)) (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) y)) |
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(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z))) |
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z))) |
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z))) |
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z))) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* x (sqrt 2)) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
z |
(+ z (* (pow t 2) z)) |
(+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z))))) |
(+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z)))))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
| Outputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) |
(fma.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 z (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) (*.f64 (*.f64 t t) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(fma.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 z (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 z #s(literal 1/24 binary64))) (*.f64 t t))))) (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
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(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x)) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* x (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(* z (exp (pow t 2))) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(* z (exp (pow t 2))) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(* z (exp (pow t 2))) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(* z (exp (pow t 2))) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(* z (exp (pow t 2))) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(* z (exp (pow t 2))) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(* z (exp (pow t 2))) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(* z (exp (pow t 2))) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(* z (exp (pow t 2))) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(* z (exp (pow t 2))) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(* z (exp (pow t 2))) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(* z (exp (pow t 2))) |
(*.f64 z (exp.f64 (*.f64 t t))) |
z |
(+ z (* (pow t 2) z)) |
(fma.f64 z (*.f64 t t) z) |
(+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z))))) |
(fma.f64 (*.f64 t t) (fma.f64 z (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) z) z) |
(+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z)))))) |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 z (*.f64 t t)) (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) z) z) |
(* z (exp (pow t 2))) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(* z (exp (pow t 2))) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(* z (exp (pow t 2))) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(* z (exp (pow t 2))) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(* z (exp (pow t 2))) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(* z (exp (pow t 2))) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(* z (exp (pow t 2))) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(* z (exp (pow t 2))) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
| 6 672× | lower-fma.f32 |
| 6 664× | lower-fma.f64 |
| 4 390× | lower-*.f32 |
| 4 354× | lower-*.f64 |
| 3 362× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 317 |
| 0 | 96 | 309 |
| 1 | 284 | 301 |
| 2 | 1538 | 301 |
| 0 | 8743 | 301 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(neg.f64 y) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| Outputs |
|---|
(+.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(+.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) #s(literal 1/2 binary64)) (*.f64 (log.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(neg.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (-.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) (-.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))))) (-.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (+.f64 y (*.f64 #s(literal -1/2 binary64) x))) |
(*.f64 (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 t (*.f64 t t)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 t t) (*.f64 t t))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 t (*.f64 t t)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 t (*.f64 t t)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))) |
(*.f64 (fma.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 t (*.f64 t t)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 t (*.f64 t t)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 z)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) x) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(*.f64 (exp.f64 (*.f64 t t)) z) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64))) |
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 z) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64))) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (neg.f64 y)) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y)) |
(neg.f64 y) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 y (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y)))) |
(/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (*.f64 y (*.f64 y y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) |
(/.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y))))) |
(/.f64 (*.f64 y y) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 y y)) y) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))) |
(*.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
Compiled 32 573 to 2 202 computations (93.2% saved)
45 alts after pruning (42 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 241 | 16 | 1 257 |
| Fresh | 8 | 26 | 34 |
| Picked | 3 | 2 | 5 |
| Done | 2 | 1 | 3 |
| Total | 1 254 | 45 | 1 299 |
| Status | Accuracy | Program |
|---|---|---|
| 50.4% | (/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| 60.8% | (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) | |
| 89.5% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (* z (exp (* t t))) (fma.f64 z (*.f64 t t) z)))))) | |
| 94.8% | (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) | |
| 60.8% | (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* (exp (* t t)) (* 2 z)) (*.f64 #s(literal 2 binary64) z)))))) | |
| 47.0% | (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))) | |
| 90.3% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| ✓ | 99.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
| 89.9% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))) | |
| 21.1% | (*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 31.1% | (*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 58.4% | (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64)))) | |
| 44.8% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) x) (+.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 57.6% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) | |
| 59.5% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| 53.1% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))) | |
| 57.1% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) | |
| 54.8% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) | |
| 50.7% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| 54.8% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| 60.8% | (*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| 60.8% | (*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) | |
| 97.4% | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 43.6% | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 40.3% | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 61.8% | (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) | |
| 60.4% | (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) | |
| 59.4% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| ✓ | 57.6% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
| 53.1% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))) | |
| 54.8% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| 58.2% | (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (fma.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| ✓ | 60.9% | (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
| 57.9% | (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 59.0% | (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 32.7% | (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 31.2% | (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 57.8% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) #s(approx (+ (* (* t t) (* (sqrt 2) (+ (* (* t t) 1/48) 1/8))) (* (sqrt 2) 1/2)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/48 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) | |
| 52.1% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) | |
| 56.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 z)) (neg.f64 y))) | |
| 31.1% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) | |
| 57.8% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))) (neg.f64 y))) | |
| 52.1% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) (neg.f64 y))) | |
| 50.7% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))) | |
| 31.1% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))))) |
Compiled 2 757 to 965 computations (65% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
#s(approx (* (/ (+ (* x 1/2) y) (+ (* x 1/2) y)) (/ (+ (* x 1/2) (neg y)) (/ 1 (sqrt (* (exp (* t t)) (* 2 z)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) (neg.f64 y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (fma.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (* z (exp (* t t))) (fma.f64 z (*.f64 t t) z)))))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* (exp (* t t)) (* 2 z)) (*.f64 #s(literal 2 binary64) z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) #s(approx (+ (* (* t t) (* (sqrt 2) (+ (* (* t t) 1/48) 1/8))) (* (sqrt 2) 1/2)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/48 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) x) (+.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))) (neg.f64 y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (/.f64 (fma.f64 (*.f64 (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal -1 binary64)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 t t) (*.f64 t t))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))) |
#s(approx (* (- (* x (* x 1/4)) (* y y)) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y)))) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y)))) (fma.f64 #s(literal 1/2 binary64) x y))))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
13 calls:
| 202.0ms | x |
| 73.0ms | z |
| 67.0ms | (*.f64 z #s(literal 2 binary64)) |
| 61.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 55.0ms | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | t |
| 99.8% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 99.8% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 99.8% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 99.8% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 99.8% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 99.8% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.8% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 99.8% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 99.8% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
#s(approx (* (/ (+ (* x 1/2) y) (+ (* x 1/2) y)) (/ (+ (* x 1/2) (neg y)) (/ 1 (sqrt (* (exp (* t t)) (* 2 z)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) (neg.f64 y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (fma.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (* z (exp (* t t))) (fma.f64 z (*.f64 t t) z)))))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (* (exp (* t t)) (* 2 z)) (*.f64 #s(literal 2 binary64) z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) #s(approx (+ (* (* t t) (* (sqrt 2) (+ (* (* t t) 1/48) 1/8))) (* (sqrt 2) 1/2)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/48 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) x) (+.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 y (+.f64 y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))))) (neg.f64 y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (/.f64 (fma.f64 (*.f64 (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal -1 binary64)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 t t) (*.f64 t t))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))))) |
#s(approx (* (- (* x (* x 1/4)) (* y y)) (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y)))) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y)))) (fma.f64 #s(literal 1/2 binary64) x y))))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
13 calls:
| 79.0ms | x |
| 67.0ms | y |
| 55.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 54.0ms | z |
| 52.0ms | (*.f64 z #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 1 | x |
| 97.4% | 1 | y |
| 97.4% | 1 | z |
| 97.4% | 1 | t |
| 97.4% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 97.4% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 97.4% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 97.4% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 97.4% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 97.4% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 97.4% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 97.4% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 97.4% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
#s(approx (* (/ (+ (* x 1/2) y) (+ (* x 1/2) y)) (/ (+ (* x 1/2) (neg y)) (/ 1 (sqrt (* (exp (* t t)) (* 2 z)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) (neg.f64 y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (fma.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
13 calls:
| 75.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 72.0ms | (*.f64 z #s(literal 2 binary64)) |
| 67.0ms | (*.f64 t t) |
| 64.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 20.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.8% | 1 | x |
| 94.8% | 1 | y |
| 94.8% | 1 | z |
| 94.8% | 1 | t |
| 94.8% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 94.8% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 94.8% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 94.8% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 94.8% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 94.8% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 94.8% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 94.8% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 94.8% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
#s(approx (* (/ (+ (* x 1/2) y) (+ (* x 1/2) y)) (/ (+ (* x 1/2) (neg y)) (/ 1 (sqrt (* (exp (* t t)) (* 2 z)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) (neg.f64 y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (fma.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
13 calls:
| 32.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 26.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 20.0ms | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 20.0ms | t |
| 19.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.4% | 1 | t |
| 94.4% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 94.4% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 94.4% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 94.4% | 1 | (*.f64 t t) |
| 94.4% | 1 | x |
| 94.4% | 1 | y |
| 94.4% | 1 | z |
| 94.4% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 94.4% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 94.4% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 94.4% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 94.4% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
#s(approx (* (/ (+ (* x 1/2) y) (+ (* x 1/2) y)) (/ (+ (* x 1/2) (neg y)) (/ 1 (sqrt (* (exp (* t t)) (* 2 z)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) (neg.f64 y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (fma.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
13 calls:
| 35.0ms | y |
| 21.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 16.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 15.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 15.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.4% | 2 | t |
| 94.4% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 94.4% | 2 | (*.f64 t t) |
| 90.3% | 1 | x |
| 90.3% | 1 | y |
| 92.1% | 2 | z |
| 90.3% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 90.3% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 90.3% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 90.3% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 92.1% | 2 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 92.1% | 2 | (*.f64 z #s(literal 2 binary64)) |
| 94.4% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
#s(approx (* (/ (+ (* x 1/2) y) (+ (* x 1/2) y)) (/ (+ (* x 1/2) (neg y)) (/ 1 (sqrt (* (exp (* t t)) (* 2 z)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z))) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) (neg.f64 y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (fma.f64 (neg.f64 (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))) |
7 calls:
| 12.0ms | z |
| 11.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 11.0ms | t |
| 11.0ms | (*.f64 z #s(literal 2 binary64)) |
| 10.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 2 | z |
| 92.1% | 2 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 92.1% | 2 | (*.f64 z #s(literal 2 binary64)) |
| 90.3% | 1 | t |
| 90.3% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 90.3% | 1 | (*.f64 t t) |
| 90.3% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 51 to 41 computations (19.6% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
#s(approx (* (/ (+ (* x 1/2) y) (+ (* x 1/2) y)) (/ (+ (* x 1/2) (neg y)) (/ 1 (sqrt (* (exp (* t t)) (* 2 z)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))) |
13 calls:
| 9.0ms | y |
| 8.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 8.0ms | x |
| 8.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 7.0ms | (*.f64 z #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.9% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 89.9% | 1 | t |
| 89.9% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 89.9% | 1 | (*.f64 t t) |
| 89.9% | 1 | x |
| 89.9% | 1 | y |
| 89.9% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 89.9% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 89.9% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 89.9% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 89.9% | 1 | z |
| 89.9% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 89.9% | 1 | (*.f64 z #s(literal 2 binary64)) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
#s(approx (* (/ (+ (* x 1/2) y) (+ (* x 1/2) y)) (/ (+ (* x 1/2) (neg y)) (/ 1 (sqrt (* (exp (* t t)) (* 2 z)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (sqrt (* 2 (* z (exp (* t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
| Outputs |
|---|
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
13 calls:
| 45.0ms | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 15.0ms | (*.f64 t t) |
| 6.0ms | x |
| 6.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 6.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.3% | 3 | x |
| 67.8% | 3 | y |
| 60.9% | 1 | z |
| 60.9% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 60.9% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 68.3% | 3 | (*.f64 x #s(literal 1/2 binary64)) |
| 60.9% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 60.9% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 75.3% | 3 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 76.8% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 79.0% | 2 | t |
| 79.0% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 79.0% | 2 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (sqrt.f64 z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt z)) (neg y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (* (exp (* 1/2 (* t t))) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (neg.f64 y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
#s(approx (* (/ (+ (* x 1/2) y) (+ (* x 1/2) y)) (/ (+ (* x 1/2) (neg y)) (/ 1 (sqrt (* (exp (* t t)) (* 2 z)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
9 calls:
| 7.0ms | t |
| 6.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 5.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 5.0ms | y |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.9% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 60.9% | 1 | y |
| 60.9% | 1 | x |
| 60.9% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 60.9% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 60.9% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 60.9% | 1 | t |
| 60.9% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 60.9% | 1 | (*.f64 t t) |
Compiled 78 to 60 computations (23.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
13 calls:
| 2.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 2.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 2.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 2.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 2.0ms | (*.f64 z #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.9% | 3 | t |
| 48.5% | 3 | y |
| 37.1% | 2 | z |
| 37.1% | 2 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 37.1% | 2 | (*.f64 z #s(literal 2 binary64)) |
| 37.9% | 3 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 37.9% | 3 | (*.f64 t t) |
| 37.8% | 2 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 37.8% | 2 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 50.6% | 3 | x |
| 50.6% | 3 | (*.f64 x #s(literal 1/2 binary64)) |
| 32.7% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 38.2% | 2 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
Compiled 112 to 88 computations (21.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
| Outputs |
|---|
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
13 calls:
| 4.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 1.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 1.0ms | y |
| 1.0ms | (*.f64 z #s(literal 2 binary64)) |
| 1.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.2% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 31.2% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 31.2% | 1 | (*.f64 t t) |
| 31.2% | 1 | t |
| 31.2% | 1 | z |
| 31.2% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 31.2% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 31.2% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 31.2% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 31.2% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 31.2% | 1 | y |
| 31.2% | 1 | x |
| 31.2% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
Compiled 112 to 88 computations (21.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0902057578019961 | +inf |
Compiled 24 to 23 computations (4.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.5557716692913564e+28 | 3.9275197223786973e+28 |
Compiled 24 to 23 computations (4.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.9980388563510367e+181 | 2.6093532071243142e+185 |
| 9.0ms | 128× | 0 | valid |
Compiled 304 to 230 computations (24.3% saved)
ival-mult: 3.0ms (48.5% of total)ival-sub: 1.0ms (16.2% of total)ival-div: 1.0ms (16.2% of total)ival-exp: 1.0ms (16.2% of total)ival-sqrt: 1.0ms (16.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0038338348905819154 | 24.418891013945267 |
| 0.0ms | -1.6279076650714916e-35 | -1.979892325413933e-47 |
Compiled 24 to 22 computations (8.3% saved)
| 1× | egg-herbie |
| 56× | *-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 4× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 450 |
| 1 | 136 | 450 |
| 2 | 139 | 450 |
| 3 | 140 | 450 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(if (<=.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 30000000000000000948382466048 binary64)) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64)))))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 t t) #s(literal 19999999999999998342215830152938730492127634084972762925122488116203077196092885244360425129808612448042572512733124694266270966234203982181371736935814021636111081311758980059496448 binary64)) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) #s(approx (+ (* (* t t) (+ (* t (* t 1/8)) 1/2)) 1) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/8 binary64))))))))) |
(if (<=.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 30000000000000000948382466048 binary64)) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64)))))))) |
(if (<=.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 30000000000000000948382466048 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64)))))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 t t) #s(literal 19999999999999998342215830152938730492127634084972762925122488116203077196092885244360425129808612448042572512733124694266270966234203982181371736935814021636111081311758980059496448 binary64)) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 t t) #s(literal 19999999999999998342215830152938730492127634084972762925122488116203077196092885244360425129808612448042572512733124694266270966234203982181371736935814021636111081311758980059496448 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (- (* x 1/2) y) (neg.f64 y))))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -7482888383134223/748288838313422294120286634350736906063837462003712 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))))) (if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (neg.f64 y)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (*.f64 x #s(literal 1/2 binary64))))))) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (* (exp (/ (* t t) 2)) (+ (* x 1/2) (neg y))) #s(approx (- (* 1/2 x) y) (neg.f64 y)))) |
| 18 902× | lower-fma.f64 |
| 18 902× | lower-fma.f32 |
| 15 288× | lower-fma.f64 |
| 15 288× | lower-fma.f32 |
| 10 580× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 540 | 11788 |
| 1 | 1751 | 10232 |
| 2 | 6119 | 9799 |
| 0 | 8097 | 9563 |
| 0 | 53 | 278 |
| 0 | 87 | 258 |
| 1 | 233 | 252 |
| 2 | 1266 | 252 |
| 0 | 8683 | 252 |
| 0 | 381 | 13132 |
| 1 | 1291 | 11115 |
| 2 | 4496 | 9950 |
| 0 | 8067 | 9801 |
| 0 | 133 | 2071 |
| 1 | 446 | 1592 |
| 2 | 1556 | 1499 |
| 3 | 4446 | 1496 |
| 0 | 8851 | 1484 |
| 0 | 15 | 43 |
| 0 | 24 | 41 |
| 1 | 63 | 40 |
| 2 | 285 | 40 |
| 3 | 2343 | 40 |
| 0 | 8616 | 40 |
| 0 | 580 | 11428 |
| 1 | 1830 | 10697 |
| 2 | 6015 | 9730 |
| 0 | 8050 | 9584 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 254 to 699 computations (44.3% saved)
(abs t)
Compiled 820 to 308 computations (62.4% saved)
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