
Time bar (total: 19.3s)
| 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)
| 1.1s | 8 256× | 0 | valid |
| 237.0ms | 2 153× | 0 | invalid |
ival-mult: 454.0ms (56.9% of total)ival-exp: 96.0ms (12% of total)ival-sub: 81.0ms (10.1% of total)ival-sqrt: 74.0ms (9.3% of total)ival-div: 67.0ms (8.4% of total)exact: 12.0ms (1.5% of total)ival-true: 9.0ms (1.1% of total)ival-assert: 4.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 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 | - | (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 | - | #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 |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.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)))) | u*o | 1 | 0 |
| ↳ | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | underflow | 2 | |
| ↳ | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) | overflow | 138 | |
| ↳ | (/.f64 (*.f64 t t) #s(literal 2 binary64)) | overflow | 62 | |
| ↳ | (*.f64 t t) | overflow | 62 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 0 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 88.0ms | 512× | 0 | valid |
Compiled 149 to 49 computations (67.1% saved)
ival-mult: 15.0ms (50.2% of total)ival-exp: 4.0ms (13.4% of total)ival-sqrt: 4.0ms (13.4% of total)ival-sub: 3.0ms (10% of total)ival-div: 3.0ms (10% of total)ival-true: 1.0ms (3.3% of total)exact: 1.0ms (3.3% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 733× | times-frac |
| 722× | unsub-neg |
| 672× | lower-fma.f64 |
| 672× | lower-fma.f32 |
| 467× | 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 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 (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 |
|---|---|---|
| ▶ | 99.5% | (*.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))) |
| 672× | lower-fma.f64 |
| 672× | lower-fma.f32 |
| 461× | lower-*.f32 |
| 456× | lower-*.f64 |
| 209× | 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 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 (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 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
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) |
(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 (/.f64 t #s(literal 2 binary64)) t) |
(*.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 | 0.0078125 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) | |
| accuracy | 0.20312500000000003 | (*.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 | 0.234375 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 28.0ms | 256× | 0 | valid |
Compiled 64 to 17 computations (73.4% saved)
ival-mult: 7.0ms (46.8% of total)ival-div: 2.0ms (13.4% of total)ival-exp: 2.0ms (13.4% of total)ival-sqrt: 2.0ms (13.4% of total)ival-sub: 1.0ms (6.7% 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>) () ())) ()) |
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#s(alt (* -1 (* y (+ 1 (* -1/2 (/ x y))))) (taylor -inf y) (#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 (* -1 (* y (+ 1 (* -1/2 (/ x y))))) (taylor -inf y) (#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 (* 1/2 (pow t 2)) (taylor 0 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 0 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 0 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 0 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>) () ())) ()) |
#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 | |
|---|---|---|---|---|
| 8.0ms | t | @ | inf | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
| 3.0ms | z | @ | 0 | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
| 2.0ms | t | @ | -inf | (* (* (- (* 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× | egg-herbie |
| 9 451× | lower-fma.f64 |
| 9 451× | lower-fma.f32 |
| 3 124× | lower-*.f64 |
| 3 124× | lower-*.f32 |
| 2 335× | 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 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) |
(+ (* -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 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) |
(+ (* -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 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) |
(+ (* -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 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(* 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 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) |
(* 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 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) |
(* 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 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(* -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 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) |
(* -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 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) |
(* -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 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(+ (* -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 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) |
(+ (* -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 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) |
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(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
(* -1 (* x (- (/ y x) 1/2))) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(+ (* -1 y) (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
(+ (* -1 y) (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
(+ (* -1 y) (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
(* 1/2 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(* 1/2 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(* 1/2 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(* 1/2 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(* 1/2 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(* 1/2 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(* 1/2 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(* 1/2 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(* 1/2 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(* 1/2 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(* 1/2 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(* 1/2 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
| 3 461× | lower-fma.f64 |
| 3 461× | lower-fma.f32 |
| 2 146× | lower-/.f32 |
| 2 145× | lower-/.f64 |
| 1 923× | 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 |
|---|
(*.f64 (sqrt.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (sqrt.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 1/2 binary64))) |
(*.f64 (exp.f64 (*.f64 t (/.f64 (*.f64 #s(literal 1/2 binary64) t) #s(literal 2 binary64)))) (exp.f64 (*.f64 t (/.f64 (*.f64 #s(literal 1/2 binary64) t) #s(literal 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)))) |
(pow.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal 1 binary64) t)) (*.f64 #s(literal 1/2 binary64) t)) |
(pow.f64 (exp.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 (neg.f64 t) t)) |
(pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (neg.f64 t)) (/.f64 t #s(literal -2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 (exp.f64 t) (exp.f64 t)) (/.f64 (*.f64 #s(literal 1/2 binary64) t) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (exp.f64 (*.f64 t t)) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) t)) (sqrt.f64 t)) (sqrt.f64 t)) |
(pow.f64 (pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) t)) (*.f64 #s(literal 1/2 binary64) t)) |
(pow.f64 (pow.f64 (E.f64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) #s(literal -1/2 binary64)) (*.f64 (neg.f64 t) t)) |
(pow.f64 (pow.f64 (E.f64) (neg.f64 t)) (*.f64 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) #s(literal -1 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(pow.f64 (pow.f64 (E.f64) (*.f64 (neg.f64 t) 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) t) (*.f64 #s(literal 1/2 binary64) t)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (neg.f64 (neg.f64 t))) 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)) #s(literal -1 binary64)) (*.f64 (neg.f64 t) t)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 t t)) |
(pow.f64 (pow.f64 (exp.f64 t) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) t)) |
(pow.f64 (exp.f64 (*.f64 t (/.f64 (*.f64 #s(literal 1/2 binary64) t) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) t)) (neg.f64 (neg.f64 t))) |
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) t)) t) |
(pow.f64 (E.f64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(pow.f64 (exp.f64 (*.f64 (neg.f64 t) t)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 t t)) |
(pow.f64 (exp.f64 t) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) t) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) t) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t)) |
(pow.f64 (exp.f64 (*.f64 t t)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.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) (exp.f64 (*.f64 #s(literal 1 binary64) (*.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) (pow.f64 (E.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 (neg.f64 t) t))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(sqrt.f64 (exp.f64 (*.f64 t t))) |
(fabs.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) t))) t)) |
(exp.f64 (*.f64 (log.f64 (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (neg.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 #s(literal 1/2 binary64) (*.f64 t t))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y) y) (fma.f64 #s(literal 1/2 binary64) x y)))) (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) x) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) (fma.f64 #s(literal 1/2 binary64) x y)) (fma.f64 #s(literal 1/2 binary64) x y)) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x y))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))))) |
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x y))) |
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) #s(literal -1 binary64)) |
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(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) t) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) t) t) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(*.f64 (*.f64 (neg.f64 t) t) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1 binary64)) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(*.f64 t (*.f64 #s(literal 1/2 binary64) t)) |
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))))) #s(literal -1 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 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1 binary64)) |
(/.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)))))) |
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 2 binary64) t))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) t)) (neg.f64 (/.f64 #s(literal 2 binary64) t))) |
(/.f64 (*.f64 t #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) t)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t)) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 2 binary64) t)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)))) |
(/.f64 (neg.f64 t) (neg.f64 (/.f64 #s(literal 2 binary64) t))) |
(/.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 (*.f64 (neg.f64 t) t) #s(literal -2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1 binary64)) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(/.f64 t (/.f64 #s(literal 2 binary64) t)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(neg.f64 (*.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))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) #s(literal -1 binary64))) |
Compiled 20 857 to 1 754 computations (91.6% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 561 | 14 | 575 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 562 | 14 | 576 |
| Status | Accuracy | Program |
|---|---|---|
| 75.6% | (/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) (fma.f64 #s(literal 1/2 binary64) x y)) | |
| ▶ | 99.8% | (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
| 99.6% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))) | |
| 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) | |
| ▶ | 99.9% | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) |
| 93.2% | (*.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 90.6% | (*.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 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) | |
| 82.0% | (*.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 #s(literal 1/2 binary64)) t #s(literal 1 binary64)))) | |
| ▶ | 53.1% | (*.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))) |
| 99.3% | (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) #s(literal 2 binary64)))) | |
| 88.0% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y))))) | |
| ▶ | 81.8% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)))) |
| 52.9% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y))) | |
| ▶ | 90.4% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
Compiled 710 to 468 computations (34.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 128 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) | |
| cost-diff | 960 | (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) | |
| cost-diff | 0 | (sqrt.f64 z) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))) | |
| cost-diff | 0 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| cost-diff | 1472 | (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 t #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)))) | |
| cost-diff | 128 | (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x 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)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) |
| 11 029× | lower-fma.f32 |
| 11 023× | lower-fma.f64 |
| 3 223× | lower-*.f32 |
| 3 208× | lower-*.f64 |
| 1 424× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 435 |
| 0 | 88 | 429 |
| 1 | 174 | 429 |
| 2 | 465 | 411 |
| 3 | 2190 | 411 |
| 4 | 3890 | 410 |
| 0 | 8094 | 405 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
#s(literal 1/2 binary64) |
x |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(*.f64 z #s(literal 2 binary64)) |
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)) #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) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)))) |
(*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y))) |
(fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) |
(*.f64 t #s(literal 1/2 binary64)) |
t |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)) |
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(neg.f64 (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 #s(literal -1/2 binary64) x y) |
#s(literal -1/2 binary64) |
x |
y |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))) |
(sqrt.f64 z) |
z |
(fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 t t) |
t |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
x |
#s(literal 1/2 binary64) |
(neg.f64 y) |
y |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/8 binary64) t) |
#s(literal 1/8 binary64) |
(/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
#s(literal 1/2 binary64) |
x |
(neg.f64 y) |
y |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (exp.f64 (*.f64 t t))))) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
#s(literal 1/2 binary64) |
x |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (exp.f64 (*.f64 t t)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) z) (exp.f64 (*.f64 t t))) |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.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) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 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) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) x y))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) x y))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 t #s(literal 1/2 binary64)) |
t |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 z))) |
(neg.f64 (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 #s(literal -1/2 binary64) x y) |
#s(literal -1/2 binary64) |
x |
y |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(sqrt.f64 z) |
z |
(fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(*.f64 t t) |
t |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
x |
#s(literal 1/2 binary64) |
(neg.f64 y) |
y |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/8 binary64) t) |
#s(literal 1/8 binary64) |
(/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (exp.f64 (*.f64 t t))))) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (exp.f64 (*.f64 t t)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) z) (exp.f64 (*.f64 t t))) |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x y)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
#s(literal 1/2 binary64) |
x |
(neg.f64 y) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 0.00390625 | (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) | |
| accuracy | 0.125 | (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) | |
| accuracy | 0.4765625 | (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 1.7879786114010812 | (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))) | |
| accuracy | 2.0995890254445815 | (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) | |
| accuracy | 7.579531782222349 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| accuracy | 0.234375 | (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)) | |
| accuracy | 0.45931625976844204 | (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 1.9130778661836438 | (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y))) | |
| accuracy | 13.045320754481983 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)))) | |
| accuracy | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 0.20312500000000003 | (*.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 | 0.234375 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 33.66991135925447 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 0 | (exp.f64 (*.f64 t t)) | |
| accuracy | 0.00390625 | (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 0.00390625 | (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 0.0859375 | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) |
| 243.0ms | 256× | 0 | valid |
Compiled 406 to 49 computations (87.9% saved)
ival-mult: 160.0ms (86.1% of total)ival-add: 7.0ms (3.8% of total)ival-sqrt: 6.0ms (3.2% of total)ival-div: 5.0ms (2.7% of total)ival-exp: 4.0ms (2.2% of total)ival-neg: 2.0ms (1.1% of total)ival-sub: 1.0ms (0.5% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (patch (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.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)) #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 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 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y))) (patch (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (patch (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 t #s(literal 1/2 binary64)) (patch (*.f64 t #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (patch (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))) (patch (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 z) (patch (sqrt.f64 z) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) (patch (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) (patch (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) #<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 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)) (patch (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (patch (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
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#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 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (sqrt 2))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
183 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 91.0ms | z | @ | 0 | (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) |
| 7.0ms | x | @ | -inf | (+ (* (* t t) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* (* 1/8 t) t) 1/2))) (* (+ (* x 1/2) (neg y)) (sqrt 2))) |
| 3.0ms | z | @ | 0 | (* (+ (* 1/2 x) (neg y)) (sqrt (* (exp (* t t)) (* z 2)))) |
| 1.0ms | z | @ | 0 | (* (sqrt z) (+ (* (* t t) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* (* 1/8 t) t) 1/2))) (* (+ (* x 1/2) (neg y)) (sqrt 2)))) |
| 1.0ms | t | @ | 0 | (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) |
| 1× | egg-herbie |
| 6 944× | lower-fma.f64 |
| 6 944× | lower-fma.f32 |
| 3 236× | lower-*.f64 |
| 3 236× | lower-*.f32 |
| 3 065× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 594 | 14708 |
| 1 | 2078 | 13588 |
| 2 | 5211 | 13031 |
| 0 | 9157 | 12510 |
| 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) (* (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))) |
(* (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))))) |
(* -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 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* (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)) |
(* (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)))) |
(* -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)) |
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(* -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) |
(* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) |
(+ (* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ y (* -1/2 x)))) (sqrt z)))) |
(+ (* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ y (* -1/2 x)))) (sqrt z)))) |
(+ (* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ y (* -1/2 x)))) (sqrt z)))) |
(* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ y (* -1/2 x)))) (sqrt z))) |
(* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ y (* -1/2 x))) (pow t 2)) (sqrt z))) (* -1/2 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))))) |
(* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ y (* -1/2 x))) (pow t 2)) (sqrt z))) (* -1/2 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))))) |
(* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ y (* -1/2 x))) (pow t 2)) (sqrt z))) (* -1/2 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))))) |
(* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ y (* -1/2 x)))) (sqrt z))) |
(* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ y (* -1/2 x))) (pow t 2)) (sqrt z))) (* -1/2 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))))) |
(* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ y (* -1/2 x))) (pow t 2)) (sqrt z))) (* -1/2 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))))) |
(* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ y (* -1/2 x))) (pow t 2)) (sqrt z))) (* -1/2 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (+ y (* -1/2 x)))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (+ y (* -1/2 x)))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (+ y (* -1/2 x)))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (+ y (* -1/2 x)))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (+ y (* -1/2 x)))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (+ y (* -1/2 x)))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (+ y (* -1/2 x)))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (+ y (* -1/2 x)))))) |
(* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (+ y (* -1/2 x)))))) |
(* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (+ y (* -1/2 x)))))) |
(* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (+ y (* -1/2 x)))))) |
(* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (+ y (* -1/2 x)))))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))))) |
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(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* 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)))) |
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(* -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 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* 1/2 (pow t 2))) |
(* 1/2 (pow t 2)) |
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2)))) |
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2)))) |
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2)))) |
(* 1/2 (pow t 2)) |
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2)))) |
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2)))) |
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2)))) |
(* 1/2 t) |
(* 1/2 t) |
(* 1/2 t) |
(* 1/2 t) |
(* 1/2 t) |
(* 1/2 t) |
(* 1/2 t) |
(* 1/2 t) |
(* 1/2 t) |
(* 1/2 t) |
(* 1/2 t) |
(* 1/2 t) |
(* (sqrt 2) (- (* 1/2 x) y)) |
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))))) |
(+ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))))) |
(* 1/8 (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (+ (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4))))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (+ (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4))))) |
(* 1/8 (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (+ (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4))))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (+ (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4))))) |
(+ (* -1 (* y (sqrt 2))) (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) |
(+ (* -1 (* y (sqrt 2))) (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* x (+ (* 1/2 (sqrt 2)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))))) |
(+ (* -1 (* y (sqrt 2))) (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* x (+ (* 1/2 (sqrt 2)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))))) |
(+ (* -1 (* y (sqrt 2))) (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* x (+ (* 1/2 (sqrt 2)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))))) |
(* x (+ (* 1/2 (sqrt 2)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x)) (+ (* 1/2 (sqrt 2)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))))) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x)) (+ (* 1/2 (sqrt 2)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))))) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x)) (+ (* 1/2 (sqrt 2)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* y (sqrt 2))) (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) x)) (+ (* -1/2 (sqrt 2)) (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* y (sqrt 2))) (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) x)) (+ (* -1/2 (sqrt 2)) (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* y (sqrt 2))) (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) x)) (+ (* -1/2 (sqrt 2)) (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))))) |
(+ (* 1/2 (* x (sqrt 2))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) |
(+ (* 1/2 (* x (sqrt 2))) (+ (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* y (+ (* -1 (sqrt 2)) (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))))) |
(+ (* 1/2 (* x (sqrt 2))) (+ (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* y (+ (* -1 (sqrt 2)) (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))))) |
(+ (* 1/2 (* x (sqrt 2))) (+ (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* y (+ (* -1 (sqrt 2)) (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))))) |
(* y (+ (* -1 (sqrt 2)) (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) |
(* y (+ (* -1 (sqrt 2)) (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (+ (* 1/2 (/ (* x (sqrt 2)) y)) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y)))))) |
(* y (+ (* -1 (sqrt 2)) (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (+ (* 1/2 (/ (* x (sqrt 2)) y)) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y)))))) |
(* y (+ (* -1 (sqrt 2)) (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (+ (* 1/2 (/ (* x (sqrt 2)) y)) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y)))))) |
(* -1 (* y (+ (sqrt 2) (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) |
(* -1 (* y (+ (sqrt 2) (+ (* -1 (/ (+ (* 1/2 (* x (sqrt 2))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))) |
(* -1 (* y (+ (sqrt 2) (+ (* -1 (/ (+ (* 1/2 (* x (sqrt 2))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))) |
(* -1 (* y (+ (sqrt 2) (+ (* -1 (/ (+ (* 1/2 (* x (sqrt 2))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (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)))))) |
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(/ (- (* -1/2 (/ x y)) 1) y) |
(/ (- (* -1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* 1/2 (/ x y)))) y) |
(/ (- (* -1/8 (/ (pow x 3) (pow y 3))) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))) y) |
(/ -1 y) |
(* -1 (/ (+ 1 (* 1/2 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) y)) (* -1/4 (pow x 2))) y)) (* 1/2 x)) y))) y)) |
(* 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 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 (* (sqrt z) (sqrt 2))) |
(* -1 (* (sqrt z) (sqrt 2))) |
(* -1 (* (sqrt z) (sqrt 2))) |
(* -1 (* (sqrt z) (sqrt 2))) |
(* -1 (* (sqrt z) (sqrt 2))) |
(* -1 (* (sqrt z) (sqrt 2))) |
(* -1 (* (sqrt z) (sqrt 2))) |
(* -1 (* (sqrt z) (sqrt 2))) |
(* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2))) |
(* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2))) |
(* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2))) |
(* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2))) |
(* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -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))))) |
(* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) |
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x)))) |
(* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) |
(* y (+ (* -1 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) y)))) |
(* y (+ (* -1 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) y)))) |
(* y (+ (* -1 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) y)))) |
(* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) |
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) y)) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) y)) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) y)) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (pow t 2) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(* (pow t 2) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(* (pow t 2) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (pow t 2) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(* (pow t 2) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(* (pow t 2) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(* -1 (* y (sqrt 2))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(* 1/2 (* x (sqrt 2))) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))) |
(* 1/2 (* x (sqrt 2))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(* 1/2 (* x (sqrt 2))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(* -1 (* y (sqrt 2))) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(* -1 (* y (sqrt 2))) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
| Outputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)))) x) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)))) x) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)))) x) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) y) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) y) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) y) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (neg.f64 (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) y) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (neg.f64 (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) y) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (neg.f64 (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) y) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (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) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* (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))))))) |
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(* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x)))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 y x) #s(literal 1/2 binary64)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x)))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 y x) #s(literal 1/2 binary64)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x)))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 (/.f64 y x) #s(literal 1/2 binary64)))) |
(* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) |
(* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) |
(* y (+ (* -1 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) y)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)))) y) |
(* y (+ (* -1 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) y)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)))) y) |
(* y (+ (* -1 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) y)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) y) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)))) y) |
(* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) |
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) y)) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) y) |
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) y)) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) y) |
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) y)) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) y) |
(* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) |
(+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) |
(+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) |
(+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) |
(* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t t)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow t 2) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1/8 binary64))) (*.f64 t t)) |
(* (pow t 2) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1/8 binary64))) (*.f64 t t)) |
(* (pow t 2) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1/8 binary64))) (*.f64 t t)) |
(* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 t t)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow t 2) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1/8 binary64))) (*.f64 t t)) |
(* (pow t 2) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1/8 binary64))) (*.f64 t t)) |
(* (pow t 2) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1/8 binary64))) (*.f64 t t)) |
(* -1 (* y (sqrt 2))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(* 1/2 (* x (sqrt 2))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(* 1/2 (* x (sqrt 2))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal 1/2 binary64)))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal 1/2 binary64)))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal 1/2 binary64)))) |
(* 1/2 (* x (sqrt 2))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* y (sqrt 2))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) y) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) y) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(*.f64 (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) y) |
(* -1 (* y (sqrt 2))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) |
| 3 421× | lower-fma.f32 |
| 3 415× | lower-fma.f64 |
| 2 206× | lower-*.f32 |
| 2 191× | lower-*.f64 |
| 1 714× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 326 |
| 0 | 88 | 316 |
| 1 | 288 | 314 |
| 2 | 1796 | 314 |
| 0 | 8573 | 314 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(neg.f64 y) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.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)) #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)) |
(*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)))) |
(fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) |
(*.f64 t #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))) |
(sqrt.f64 z) |
(/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))) |
(exp.f64 (*.f64 t t)) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 y (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (exp.f64 (*.f64 t t)))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 y (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (exp.f64 (*.f64 t t)))))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (exp.f64 (*.f64 (*.f64 t #s(literal 1/2 binary64)) t))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) #s(literal -1/2 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))) |
(+.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))) |
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x #s(literal 1/2 binary64)))) |
Compiled 69 331 to 3 729 computations (94.6% saved)
31 alts after pruning (31 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 101 | 27 | 2 128 |
| Fresh | 5 | 4 | 9 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 111 | 31 | 2 142 |
| Status | Accuracy | Program |
|---|---|---|
| 49.4% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| 53.0% | (/.f64 (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) | |
| ▶ | 93.9% | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
| 80.8% | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) | |
| 86.8% | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (fma.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64)))))) | |
| 53.1% | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) | |
| 52.9% | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (sqrt (* (exp (* t t)) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) | |
| 52.9% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 51.5% | (*.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) 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))) | |
| 21.9% | (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 y y))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.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))) | |
| ▶ | 51.5% | (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.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))) |
| 93.2% | (*.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 90.6% | (*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 90.6% | (*.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 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) | |
| 82.0% | (*.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 #s(literal 1/2 binary64)) t #s(literal 1 binary64)))) | |
| ▶ | 52.9% | (*.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))) |
| 55.1% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 53.4% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 29.6% | (*.f64 (*.f64 #s(approx (- (* x 1/2) 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))) | |
| ▶ | 26.3% | (*.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))) |
| 65.2% | (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) | |
| 61.4% | (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) | |
| 26.2% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 88.0% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y))))) | |
| 28.4% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (/.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (fma.f64 y (-.f64 y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) | |
| 44.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) #s(approx (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))))) | |
| 82.8% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))))) | |
| 84.2% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) | |
| 52.9% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) #s(approx (+ (* (* t t) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* (* 1/8 t) t) 1/2))) (* (+ (* x 1/2) (neg y)) (sqrt 2))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| 68.0% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) x)) (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x))) | |
| ▶ | 46.1% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) |
Compiled 1 488 to 978 computations (34.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 1/2 binary64))) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.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 | 192 | (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) | |
| cost-diff | 1344 | (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) | |
| cost-diff | 0 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.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))) | |
| 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 | (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
| 6 425× | lower-fma.f32 |
| 6 419× | lower-fma.f64 |
| 2 444× | lower-*.f32 |
| 2 427× | lower-*.f64 |
| 923× | lower-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 539 |
| 0 | 105 | 520 |
| 1 | 212 | 512 |
| 2 | 581 | 494 |
| 3 | 2327 | 494 |
| 4 | 4748 | 494 |
| 0 | 8161 | 494 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
#s(literal 1/2 binary64) |
x |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64)))) |
(*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))) |
#s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 t t) |
t |
#s(literal 1 binary64) |
(*.f64 z #s(literal 2 binary64)) |
z |
#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)) #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 (*.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 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
x |
#s(literal 1/2 binary64) |
(neg.f64 y) |
y |
(sqrt.f64 z) |
z |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) |
#s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(neg.f64 y) |
y |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 z) |
z |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 t t) |
t |
#s(literal 1 binary64) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.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 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 1/2 binary64))) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 1/2 binary64))) y) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(*.f64 x x) |
x |
#s(literal 1/4 binary64) |
#s(literal 0 binary64) |
(*.f64 x #s(literal 1/2 binary64)) |
#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) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
#s(literal 1/2 binary64) |
x |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))))) |
(*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
#s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
(*.f64 t t) |
t |
#s(literal 1 binary64) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#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)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (- (* x 1/2) y) (neg.f64 y))) |
#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 (*.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)) #s(literal 1 binary64)) (sqrt.f64 z)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 z)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (neg.f64 (sqrt.f64 z))) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
x |
#s(literal 1/2 binary64) |
(neg.f64 y) |
y |
(sqrt.f64 z) |
z |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) |
#s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64))) |
(neg.f64 y) |
y |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(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)) |
#s(literal 1/2 binary64) |
(*.f64 t t) |
t |
#s(literal 1 binary64) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.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 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 1/2 binary64))) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) |
(-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 1/2 binary64))) y) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x) |
(*.f64 x x) |
x |
#s(literal 1/4 binary64) |
#s(literal 0 binary64) |
(*.f64 x #s(literal 1/2 binary64)) |
#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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.20312500000000003 | (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.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 | 0.234375 | (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 1/2 binary64))) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 33.05788765716007 | (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 1/2 binary64))) | |
| accuracy | 33.66991135925448 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 2.4154945335775997 | (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) | |
| accuracy | 4.343647565781928 | (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) | |
| accuracy | 13.045320754481983 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) | |
| accuracy | 29.908664660691453 | #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) | |
| accuracy | 0.20312500000000003 | (*.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))) | |
| accuracy | 0.26953125 | (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) | |
| accuracy | 0.4326362793053261 | (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 33.66991135925448 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 0.20312500000000003 | (*.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 | 0.234375 | (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 33.152389926450056 | #s(approx (- (* x 1/2) y) (neg.f64 y)) | |
| accuracy | 33.66991135925448 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 0.03125 | (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) | |
| accuracy | 0.08203125 | (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) | |
| accuracy | 0.0859375 | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) | |
| accuracy | 5.943370316618456 | #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
| 105.0ms | 256× | 0 | valid |
Compiled 414 to 62 computations (85% saved)
ival-mult: 43.0ms (56.4% of total)ival-add: 9.0ms (11.8% of total)ival-sqrt: 6.0ms (7.9% of total)ival-exp: 4.0ms (5.2% of total)const: 4.0ms (5.2% of total)ival-div: 3.0ms (3.9% of total)ival-sub: 3.0ms (3.9% of total)ival-neg: 2.0ms (2.6% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (patch (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64)))) #<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 (*.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))) (patch (*.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))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (patch (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (patch (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) (patch #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) (patch (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 1/2 binary64))) (patch (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (patch (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.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 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.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 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 1/2 binary64))) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (patch (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 1/2 binary64))) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (patch #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) #<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 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) #<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 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) #<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 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) #<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 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor inf x) (#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) #<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 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) #<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 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) #<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 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) #<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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) #<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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) #<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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) #<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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) #<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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) #<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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/6 (pow t 4)) (taylor -inf t) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 4) (+ 1/6 (* 1/2 (/ 1 (pow t 2))))) (taylor -inf t) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) (taylor -inf t) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) (taylor -inf t) (#s(alt (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 t) (#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 (+ 1 (* 1/2 (pow t 2))) (taylor 0 t) (#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 (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) (taylor 0 t) (#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 (+ 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)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64)) (patch #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (taylor 0 z) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (taylor 0 z) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (taylor 0 z) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (taylor 0 z) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (taylor inf z) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (taylor inf z) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (taylor inf z) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (taylor inf z) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) (taylor -inf z) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) (taylor -inf z) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) (taylor -inf z) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) (taylor -inf z) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt z) (sqrt 2)) (taylor 0 t) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (taylor inf t) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) (taylor inf t) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) (taylor inf t) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) (taylor inf t) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) (taylor -inf t) (#s(alt (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
168 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | inf | (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) |
| 1.0ms | y | @ | 0 | (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) |
| 1.0ms | z | @ | -inf | (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) |
| 1.0ms | z | @ | -inf | (* (* (* (+ (* x 1/2) (neg y)) (sqrt z)) (sqrt 2)) (exp (/ (* t t) 2))) |
| 1.0ms | z | @ | 0 | (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) |
| 1× | egg-herbie |
| 6 646× | lower-fma.f64 |
| 6 646× | lower-fma.f32 |
| 4 170× | lower-*.f64 |
| 4 170× | lower-*.f32 |
| 1 204× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 344 | 12641 |
| 1 | 1204 | 10708 |
| 2 | 4592 | 9677 |
| 0 | 8057 | 9477 |
| 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) (* (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))) |
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(* 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 |
(+ 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)) |
1/2 |
(+ 1/2 (* 1/6 (pow t 2))) |
(+ 1/2 (* 1/6 (pow t 2))) |
(+ 1/2 (* 1/6 (pow t 2))) |
(* 1/6 (pow t 2)) |
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2))))) |
(* 1/6 (pow t 2)) |
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2))))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))) |
(* 1/6 (pow t 4)) |
(* (pow t 4) (+ 1/6 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* (pow t 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* 1/6 (pow t 4)) |
(* (pow t 4) (+ 1/6 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* (pow t 4) (+ 1/6 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
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) (+ 1 (* 1/2 (pow t 2))))) |
(* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) |
(* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) |
(* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) |
(* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) |
(* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) |
(* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) |
(* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* (sqrt z) (sqrt 2)) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) |
(* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) |
| Outputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) y) (neg.f64 (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 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (fma.f64 x #s(literal 1/2 binary64) (neg.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 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (fma.f64 x #s(literal 1/2 binary64) (neg.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 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.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))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.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))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 y x))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 y x))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 y x))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 y x))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (fma.f64 x #s(literal 1/2 binary64) (neg.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 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (fma.f64 x #s(literal 1/2 binary64) (neg.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 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) y) (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 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) y) (sqrt.f64 #s(literal 2 binary64)))) y) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) y) (sqrt.f64 #s(literal 2 binary64)))) y) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) y) (sqrt.f64 #s(literal 2 binary64)))) y) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) y) (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 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) y) (sqrt.f64 #s(literal 2 binary64)))) y) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) y) (sqrt.f64 #s(literal 2 binary64)))) y) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) z)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) y) (sqrt.f64 #s(literal 2 binary64)))) y) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 x #s(literal 1/2 binary64) (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 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 t t)) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) #s(literal 1/4 binary64)) z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 t t)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
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(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 t t)) (sqrt.f64 z)) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)))) (*.f64 t t)) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)))) (*.f64 t t)) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)))) (*.f64 t t)) |
(* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 t t)) (sqrt.f64 z)) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)))) (*.f64 t t)) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)))) (*.f64 t t)) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)))) (*.f64 t t)) |
| 3 177× | lower-*.f32 |
| 3 160× | lower-*.f64 |
| 2 876× | lower-fma.f32 |
| 2 870× | lower-fma.f64 |
| 1 422× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 378 |
| 0 | 105 | 355 |
| 1 | 367 | 348 |
| 2 | 2538 | 342 |
| 0 | 8818 | 340 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(neg.f64 y) |
(sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #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)) #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)) |
(*.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 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) |
#s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.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 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.f64 x #s(literal 1/2 binary64))) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 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) (neg.f64 y)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64)))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64)))))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64)))))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 x #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))))))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (neg.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (neg.f64 y) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))))))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64)))))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))))))) |
(+.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64)))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (neg.f64 y))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 x #s(literal 1/2 binary64))))))) |
(pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 x #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (-.f64 (neg.f64 y) (*.f64 x #s(literal 1/2 binary64)))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t)) (*.f64 t t)) (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 t t)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) t) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) t)) (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t)) (*.f64 t t)) (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 t t)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t)) (*.f64 t t)) (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 t t)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) t) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) t)) (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t)) (*.f64 t t)) (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) t) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) t)) (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t)))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 t t)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) t) (*.f64 t #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 (*.f64 t t) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (*.f64 t t) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 t (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) t) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t)) (*.f64 t t)) (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t))) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal -1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) t) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 2 binary64) z)) (*.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) t)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 t #s(literal 1/2 binary64))) t (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 t t)) #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) t) (*.f64 t #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64)) (*.f64 t t) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(fma.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(fma.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(fma.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 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(fma.f64 (*.f64 t #s(literal 1/2 binary64)) (*.f64 t (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(fma.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(fma.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(fma.f64 t (*.f64 (*.f64 t #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(+.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
Compiled 29 223 to 2 394 computations (91.8% saved)
48 alts after pruning (46 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 250 | 25 | 1 275 |
| Fresh | 5 | 21 | 26 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 258 | 48 | 1 306 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.4% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
| 53.0% | (/.f64 (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) | |
| 51.5% | (*.f64 (fma.f64 (/.f64 (*.f64 x x) x) #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 55.6% | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t)) (*.f64 t t)) (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal -1 binary64))) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) | |
| 80.8% | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) | |
| 86.8% | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (fma.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64)))))) | |
| ▶ | 53.1% | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
| 52.9% | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (sqrt (* (exp (* t t)) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) | |
| 52.9% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 19.8% | (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (*.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))) | |
| 7.7% | (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)))) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 51.5% | (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| ▶ | 93.2% | (*.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| 90.6% | (*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 90.6% | (*.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 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) | |
| 82.0% | (*.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 #s(literal 1/2 binary64)) t #s(literal 1 binary64)))) | |
| 92.9% | (*.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)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 90.3% | (*.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)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) | |
| ✓ | 52.9% | (*.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))) |
| 26.2% | (*.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))) | |
| ▶ | 29.4% | (*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 11.8% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 26.9% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 55.1% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 53.4% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 29.6% | (*.f64 (*.f64 #s(approx (- (* x 1/2) 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))) | |
| 54.7% | (*.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 53.2% | (*.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)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) | |
| 44.7% | (*.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 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) | |
| ✓ | 26.3% | (*.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))) |
| 65.2% | (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) | |
| 60.3% | (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) | |
| 61.4% | (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) | |
| 56.9% | (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) | |
| 88.0% | #s(approx (* (* (- (/ (- (* (* x x) 1/4) 0) (* x 1/2)) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))) | |
| 44.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) #s(approx (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))))) | |
| 82.8% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))))) | |
| 84.2% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) | |
| 52.9% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) #s(approx (+ (* (* t t) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* (* 1/8 t) t) 1/2))) (* (+ (* x 1/2) (neg y)) (sqrt 2))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| 68.0% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) x)) (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x))) | |
| 46.2% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) | |
| 46.9% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) | |
| ▶ | 46.1% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))) |
| 26.0% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 t t)) (sqrt.f64 z)))))) | |
| 26.2% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))) | |
| 44.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64)))))) | |
| 25.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))))))) | |
| 26.2% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) y))))) |
Compiled 2 267 to 1 471 computations (35.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))))) | |
| cost-diff | 0 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| cost-diff | 128 | (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 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)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| 7 903× | lower-fma.f32 |
| 7 896× | lower-fma.f64 |
| 1 953× | lower-*.f32 |
| 1 935× | lower-*.f64 |
| 1 091× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 523 |
| 0 | 115 | 510 |
| 1 | 210 | 510 |
| 2 | 484 | 508 |
| 3 | 1775 | 508 |
| 4 | 4757 | 508 |
| 0 | 8258 | 503 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
#s(literal 1/48 binary64) |
(*.f64 t t) |
t |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
#s(literal 1/2 binary64) |
x |
(neg.f64 y) |
y |
(sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64)))) |
#s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) |
#s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
(sqrt.f64 z) |
z |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) |
(neg.f64 y) |
y |
(*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) |
(fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) |
(*.f64 t #s(literal 1/2 binary64)) |
t |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 z) |
z |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) |
(*.f64 x x) |
x |
#s(literal 1/4 binary64) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(fma.f64 x #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(*.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) t) t #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
(fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) |
#s(literal 1/48 binary64) |
(*.f64 t t) |
t |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
#s(literal 1/2 binary64) |
x |
(neg.f64 y) |
y |
(sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 #s(literal 2 binary64) z))) |
#s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))) |
#s(approx (* (exp (* t t)) (* z 2)) (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (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)) #s(literal 1 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* x 1/2) (neg y)) (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (+ (* x 1/2) (neg y)) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 z)) |
(*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) #s(approx (+ (* x 1/2) (neg y)) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) |
#s(approx (+ (* x 1/2) (neg y)) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
(sqrt.f64 z) |
z |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) y))) |
#s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) y)) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) y) |
(neg.f64 y) |
y |
(*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) |
(fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 t #s(literal 1/2 binary64)) |
t |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 z) |
z |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 (/.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x y)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) |
(*.f64 x x) |
x |
#s(literal 1/4 binary64) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
(*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(fma.f64 x #s(literal 1/2 binary64) y) |
(fma.f64 #s(literal 1/2 binary64) x y) |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.796858486641647 | (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) | |
| accuracy | 4.417765709375808 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| accuracy | 9.747084783460107 | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| accuracy | 33.66991135925447 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 2.4352082735621288 | (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) | |
| accuracy | 4.343647565781928 | (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 13.045320754481983 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| accuracy | 29.908664660691453 | #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))))) | |
| accuracy | 0.26953125 | (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) | |
| accuracy | 0.4326362793053261 | (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 30.372464516816994 | #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) | |
| accuracy | 33.66991135925447 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.00390625 | (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 0.0859375 | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) | |
| accuracy | 33.51384056260198 | #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 0.08203125 | (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) | |
| accuracy | 0.20312500000000003 | (*.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| accuracy | 0.234375 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 5.944457404653812 | #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
| 112.0ms | 256× | 0 | valid |
Compiled 417 to 63 computations (84.9% saved)
ival-mult: 49.0ms (59% of total)ival-add: 10.0ms (12% of total)ival-sqrt: 8.0ms (9.6% of total)ival-exp: 4.0ms (4.8% of total)const: 4.0ms (4.8% of total)ival-div: 3.0ms (3.6% of total)ival-neg: 2.0ms (2.4% of total)ival-sub: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 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 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (patch (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64)))) (patch (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (patch (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (patch #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) (patch (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))) (patch #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))))) (patch #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) (patch (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (patch (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (patch (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (patch #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (patch (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))) (patch #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))) #<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 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (patch (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#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)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 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)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 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)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 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)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 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)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 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)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 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)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 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)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 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)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 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)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 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)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 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)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (taylor 0 y) (#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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 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 y) (#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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 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 y) (#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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 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 y) (#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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2)))))) (taylor -inf z) (#s(alt (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (patch (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2)))))) (taylor -inf z) (#s(alt (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (patch (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2)))))) (taylor -inf z) (#s(alt (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (patch (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) #<representation binary64>) () ())) ()) |
180 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | t | @ | 0 | (/ (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (+ (* x 1/2) y)) |
| 2.0ms | t | @ | inf | (/ (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (+ (* x 1/2) y)) |
| 2.0ms | z | @ | 0 | (/ (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (+ (* x 1/2) y)) |
| 1.0ms | z | @ | -inf | (/ (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (+ (* x 1/2) y)) |
| 1.0ms | x | @ | 0 | (/ (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (+ (* x 1/2) y)) |
| 1× | egg-herbie |
| 4 656× | lower-fma.f64 |
| 4 656× | lower-fma.f32 |
| 3 289× | lower-*.f64 |
| 3 289× | lower-*.f32 |
| 2 451× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 424 | 13156 |
| 1 | 1504 | 12528 |
| 2 | 3463 | 12021 |
| 3 | 7648 | 12021 |
| 0 | 8398 | 11722 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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 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) |
(* -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))) |
(* (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))) |
(* (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))))) |
(* -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 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* (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)) |
(* (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)))) |
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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)))) |
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(+ (* -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)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 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))) |
1/8 |
(+ 1/8 (* 1/48 (pow t 2))) |
(+ 1/8 (* 1/48 (pow t 2))) |
(+ 1/8 (* 1/48 (pow t 2))) |
(* 1/48 (pow t 2)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* 1/48 (pow t 2)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 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 (* 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 z) (* 1/2 (* (pow t 2) (sqrt z)))) |
(+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z)))) |
(+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z)))) |
(* 1/2 (* (pow t 2) (sqrt z))) |
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z)))) |
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z)))) |
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z)))) |
(* 1/2 (* (pow t 2) (sqrt z))) |
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z)))) |
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z)))) |
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z)))) |
(* (sqrt z) (+ 1 (* 1/2 (pow t 2)))) |
(* (sqrt z) (+ 1 (* 1/2 (pow t 2)))) |
(* (sqrt z) (+ 1 (* 1/2 (pow t 2)))) |
(* (sqrt z) (+ 1 (* 1/2 (pow t 2)))) |
(* (sqrt z) (+ 1 (* 1/2 (pow t 2)))) |
(* (sqrt z) (+ 1 (* 1/2 (pow t 2)))) |
(* (sqrt z) (+ 1 (* 1/2 (pow t 2)))) |
(* (sqrt z) (+ 1 (* 1/2 (pow t 2)))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2)))))) |
| Outputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #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 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))))) |
(+ (* -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 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))))) |
(+ (* -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 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64)) |
(* 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 (fma.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (/.f64 y x)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) x) |
(* 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 (fma.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (/.f64 y x)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) x) |
(* 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 (fma.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (/.f64 y x)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) x) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64)) |
(* -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 (neg.f64 x) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (/.f64 y x)) (sqrt.f64 z) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))))) |
(* -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 (neg.f64 x) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (/.f64 y x)) (sqrt.f64 z) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))))) |
(* -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 (neg.f64 x) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (/.f64 y x)) (sqrt.f64 z) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64)) |
(+ (* -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 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))))) |
(+ (* -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 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))))) |
(+ (* -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 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) (sqrt.f64 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))))) |
(*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (/.f64 x y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) 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 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (/.f64 x y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) 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 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (/.f64 x y))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) y) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) (sqrt.f64 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)))))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (/.f64 x y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) y) |
(* -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)))))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (/.f64 x y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) y) |
(* -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)))))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (/.f64 x y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) y) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (sqrt.f64 z) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (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 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* (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))))))) |
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(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t t)) z z) (*.f64 t t) (*.f64 z #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (exp.f64 (*.f64 t t))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 z) |
(sqrt.f64 z) |
(+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z)))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) |
(+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z)))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) |
(+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z)))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) |
(* 1/2 (* (pow t 2) (sqrt z))) |
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z)) |
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z)))) |
(*.f64 (*.f64 (sqrt.f64 z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) #s(literal 1/2 binary64))) (*.f64 t t)) |
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z)))) |
(*.f64 (*.f64 (sqrt.f64 z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) #s(literal 1/2 binary64))) (*.f64 t t)) |
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z)))) |
(*.f64 (*.f64 (sqrt.f64 z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) #s(literal 1/2 binary64))) (*.f64 t t)) |
(* 1/2 (* (pow t 2) (sqrt z))) |
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z)) |
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z)))) |
(*.f64 (*.f64 (sqrt.f64 z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) #s(literal 1/2 binary64))) (*.f64 t t)) |
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z)))) |
(*.f64 (*.f64 (sqrt.f64 z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) #s(literal 1/2 binary64))) (*.f64 t t)) |
(* (pow t 2) (+ (* 1/2 (sqrt z)) (* (/ 1 (pow t 2)) (sqrt z)))) |
(*.f64 (*.f64 (sqrt.f64 z) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) #s(literal 1/2 binary64))) (*.f64 t t)) |
(* (sqrt z) (+ 1 (* 1/2 (pow t 2)))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (+ 1 (* 1/2 (pow t 2)))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (+ 1 (* 1/2 (pow t 2)))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (+ 1 (* 1/2 (pow t 2)))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (+ 1 (* 1/2 (pow t 2)))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (+ 1 (* 1/2 (pow t 2)))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (+ 1 (* 1/2 (pow t 2)))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (+ 1 (* 1/2 (pow t 2)))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2)))))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2)))))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2)))))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ 1 (* 1/2 (pow t 2)))))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) |
| 2 955× | lower-fma.f32 |
| 2 948× | lower-fma.f64 |
| 2 223× | lower-/.f32 |
| 2 222× | lower-/.f64 |
| 2 221× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 379 |
| 0 | 115 | 361 |
| 1 | 342 | 351 |
| 2 | 2076 | 351 |
| 0 | 8650 | 349 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(neg.f64 y) |
(sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) |
#s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) |
(*.f64 x x) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
#s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)))) (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) x))))))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) |
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(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1 binary64) (sqrt.f64 z))) (*.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z)) (*.f64 #s(literal 1 binary64) (sqrt.f64 z)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z))) (*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1 binary64))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 z) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (sqrt.f64 z))) (neg.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) t) #s(literal 1 binary64)) (sqrt.f64 z))) (neg.f64 (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) t) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (sqrt.f64 z)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) t) #s(literal 1 binary64)) (sqrt.f64 z)) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) t) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) t) #s(literal 1 binary64)) (sqrt.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/4 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 (*.f64 t t) t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) t) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z) (*.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(fma.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 z) #s(literal 1 binary64) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 z) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z))) |
(+.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z)) (*.f64 #s(literal 1 binary64) (sqrt.f64 z))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z))) |
(+.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 z) #s(literal 1 binary64))) |
(+.f64 (*.f64 (sqrt.f64 z) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
Compiled 38 182 to 1 986 computations (94.8% saved)
52 alts after pruning (49 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 282 | 23 | 1 305 |
| Fresh | 15 | 26 | 41 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 301 | 52 | 1 353 |
| Status | Accuracy | Program |
|---|---|---|
| 27.3% | (/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| 53.0% | (/.f64 (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) | |
| 52.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) | |
| 51.5% | (*.f64 (fma.f64 (/.f64 (*.f64 x x) x) #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 51.5% | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) | |
| 93.9% | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 55.6% | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t)) (*.f64 t t)) (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal -1 binary64))) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) | |
| 80.8% | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) | |
| 86.8% | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (fma.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64)))))) | |
| ✓ | 53.1% | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
| 52.9% | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (sqrt (* (exp (* t t)) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) | |
| 19.8% | (*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (*.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))) | |
| 7.7% | (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)))) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 51.5% | (*.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 93.2% | (*.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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 93.1% | (*.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 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 90.6% | (*.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 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 90.6% | (*.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 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) | |
| 82.0% | (*.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) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| 70.9% | (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| ✓ | 52.9% | (*.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))) |
| 54.9% | (*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| ✓ | 29.4% | (*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 11.8% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 58.4% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 54.7% | (*.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 53.2% | (*.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)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) | |
| 44.7% | (*.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 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) | |
| 55.1% | (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) | |
| 53.4% | (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) | |
| 65.2% | (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) | |
| 60.3% | (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) | |
| 29.6% | (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) | |
| 61.4% | (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) | |
| 56.9% | (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) | |
| 26.3% | (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) | |
| 58.3% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 44.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) #s(approx (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))))) | |
| 82.8% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))))) | |
| 84.2% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) | |
| 52.9% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) #s(approx (+ (* (* t t) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* (* 1/8 t) t) 1/2))) (* (+ (* x 1/2) (neg y)) (sqrt 2))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| 68.0% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) x)) (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x))) | |
| 46.2% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) | |
| 46.1% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))) | |
| 46.9% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) | |
| 26.0% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))) | |
| 26.2% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| 26.2% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))) | |
| 26.7% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 t t) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))))) | |
| 44.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64)))))) | |
| 25.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))))))) | |
| 26.2% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) y))))) |
Compiled 3 073 to 1 113 computations (63.8% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #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)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt.f64 z)) (sqrt.f64 #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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #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))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) 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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) #s(approx (+ (* (* t t) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* (* 1/8 t) t) 1/2))) (* (+ (* x 1/2) (neg y)) (sqrt 2))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x 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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (sqrt (* (exp (* t t)) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (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) x y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) 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 (*.f64 t #s(literal 1/2 binary64)) 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)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 t t) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))))) |
(/.f64 (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 t t)) (sqrt.f64 z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) #s(approx (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 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)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) x) #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (fma.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)))) |
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) 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 (-.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 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.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 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.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)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) 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 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.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)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (*.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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 y y))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.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 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (/.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (fma.f64 y (-.f64 y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)))) y) (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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) x)) (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t)) (*.f64 t t)) (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal -1 binary64))) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y))))) |
#s(approx (* (* (- (/ (- (* (* x x) 1/4) 0) (* x 1/2)) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 (*.f64 (exp.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 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) y (*.f64 (*.f64 #s(literal 1/4 binary64) x) x))) (fma.f64 #s(literal 1/2 binary64) x y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64)))))) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) |
13 calls:
| 1.4s | x |
| 891.0ms | z |
| 298.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 82.0ms | (*.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)))) |
| 45.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | t |
| 99.9% | 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)))) |
| 99.9% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 99.9% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 99.9% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 99.9% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 99.9% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.9% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 99.9% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 99.9% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #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)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt.f64 z)) (sqrt.f64 #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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #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))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) 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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) #s(approx (+ (* (* t t) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* (* 1/8 t) t) 1/2))) (* (+ (* x 1/2) (neg y)) (sqrt 2))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x 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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (sqrt (* (exp (* t t)) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (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) x y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) 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 (*.f64 t #s(literal 1/2 binary64)) 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)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 t t) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))))) |
(/.f64 (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 t t)) (sqrt.f64 z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) #s(approx (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 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)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) x) #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (fma.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)))) |
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) 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 (-.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 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.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 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.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)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) 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 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.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)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (*.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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 y y))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.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 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (/.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (fma.f64 y (-.f64 y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)))) y) (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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) x)) (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t)) (*.f64 t t)) (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal -1 binary64))) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y))))) |
#s(approx (* (* (- (/ (- (* (* x x) 1/4) 0) (* x 1/2)) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
13 calls:
| 41.0ms | (*.f64 t t) |
| 37.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 36.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 31.0ms | x |
| 30.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.9% | 1 | x |
| 93.9% | 1 | y |
| 93.9% | 1 | z |
| 98.3% | 3 | t |
| 93.9% | 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)))) |
| 93.9% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 93.9% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 93.9% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 93.9% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 93.9% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 93.9% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 98.3% | 3 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 98.3% | 3 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #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)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt.f64 z)) (sqrt.f64 #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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #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))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) 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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) #s(approx (+ (* (* t t) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* (* 1/8 t) t) 1/2))) (* (+ (* x 1/2) (neg y)) (sqrt 2))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x 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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (sqrt (* (exp (* t t)) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (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) x y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) 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 (*.f64 t #s(literal 1/2 binary64)) 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)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 t t) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))))) |
(/.f64 (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 t t)) (sqrt.f64 z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) #s(approx (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 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)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) x) #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (fma.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)))) |
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) 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 (-.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 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.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 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.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)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) 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 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.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)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (*.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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 y y))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.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 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (/.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (fma.f64 y (-.f64 y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)))) y) (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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) x)) (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t)) (*.f64 t t)) (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal -1 binary64))) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y))))) |
#s(approx (* (* (- (/ (- (* (* x x) 1/4) 0) (* x 1/2)) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
3 calls:
| 36.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 25.0ms | (*.f64 t t) |
| 23.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 3 | t |
| 97.9% | 3 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 97.9% | 3 | (*.f64 t t) |
Compiled 21 to 16 computations (23.8% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #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)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt.f64 z)) (sqrt.f64 #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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #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))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) 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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) #s(approx (+ (* (* t t) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* (* 1/8 t) t) 1/2))) (* (+ (* x 1/2) (neg y)) (sqrt 2))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x 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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (sqrt (* (exp (* t t)) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (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) x y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) 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 (*.f64 t #s(literal 1/2 binary64)) 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)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 t t) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))))) |
(/.f64 (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 t t)) (sqrt.f64 z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) #s(approx (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 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)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) x) #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (fma.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)))) |
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) 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 (-.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 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.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 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.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)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) 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 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.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)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) (*.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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 y y))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.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 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (/.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (fma.f64 y (-.f64 y (*.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/16 binary64)))) y) (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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) x)) (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t)) (*.f64 t t)) (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal -1 binary64))) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y))))) |
#s(approx (* (* (- (/ (- (* (* x x) 1/4) 0) (* x 1/2)) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
12 calls:
| 49.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 45.0ms | x |
| 44.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 34.0ms | t |
| 33.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.9% | 1 | x |
| 93.9% | 1 | z |
| 93.9% | 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)))) |
| 93.9% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 93.9% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 93.9% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 93.9% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 93.9% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 93.9% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 93.9% | 1 | t |
| 93.9% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 93.9% | 1 | (*.f64 t t) |
Compiled 107 to 84 computations (21.5% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #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)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt.f64 z)) (sqrt.f64 #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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #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))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) 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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) #s(approx (+ (* (* t t) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* (* 1/8 t) t) 1/2))) (* (+ (* x 1/2) (neg y)) (sqrt 2))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x 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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (sqrt (* (exp (* t t)) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (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) x y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) 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 (*.f64 t #s(literal 1/2 binary64)) 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)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 t t) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))))) |
(/.f64 (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 t t)) (sqrt.f64 z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) #s(approx (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 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)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) x) #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (fma.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)))) |
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) 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 (-.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 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.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 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.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)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) 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 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
13 calls:
| 120.0ms | z |
| 47.0ms | t |
| 34.0ms | (*.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)))) |
| 24.0ms | x |
| 23.0ms | (*.f64 z #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.9% | 1 | y |
| 93.9% | 1 | x |
| 93.9% | 1 | z |
| 93.9% | 1 | t |
| 93.9% | 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)))) |
| 93.9% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 93.9% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 93.9% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 93.9% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 93.9% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 93.9% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 93.9% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 93.9% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #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)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt.f64 z)) (sqrt.f64 #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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #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))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) 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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) #s(approx (+ (* (* t t) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* (* 1/8 t) t) 1/2))) (* (+ (* x 1/2) (neg y)) (sqrt 2))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x 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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (sqrt (* (exp (* t t)) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (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) x y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) 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 (*.f64 t #s(literal 1/2 binary64)) 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)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 t t) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))))) |
(/.f64 (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 t t)) (sqrt.f64 z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) #s(approx (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 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)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) x) #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (fma.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)))) |
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) 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 (-.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 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.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 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.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)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) 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 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
13 calls:
| 78.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 52.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 29.0ms | (*.f64 t t) |
| 24.0ms | z |
| 23.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.2% | 1 | x |
| 93.2% | 1 | y |
| 93.2% | 1 | z |
| 93.2% | 1 | t |
| 93.2% | 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)))) |
| 93.2% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 93.2% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 93.2% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 93.2% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 93.2% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 93.2% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 93.2% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 93.2% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #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)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt.f64 z)) (sqrt.f64 #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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #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))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) 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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) #s(approx (+ (* (* t t) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* (* 1/8 t) t) 1/2))) (* (+ (* x 1/2) (neg y)) (sqrt 2))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x 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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (sqrt (* (exp (* t t)) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (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) x y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) 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 (*.f64 t #s(literal 1/2 binary64)) 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)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 t t) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))))) |
(/.f64 (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 t t)) (sqrt.f64 z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) #s(approx (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 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)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) x) #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (fma.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)))) |
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) 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 (-.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 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.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 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.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)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) 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 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.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 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
13 calls:
| 118.0ms | (*.f64 z #s(literal 2 binary64)) |
| 45.0ms | t |
| 34.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 24.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 22.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.1% | 1 | x |
| 93.1% | 1 | y |
| 93.1% | 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)))) |
| 93.1% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 93.1% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 93.1% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 93.1% | 1 | z |
| 93.1% | 1 | t |
| 93.1% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 93.1% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 93.1% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 93.1% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 93.1% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #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)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt.f64 z)) (sqrt.f64 #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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #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))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) 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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) #s(approx (+ (* (* t t) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* (* 1/8 t) t) 1/2))) (* (+ (* x 1/2) (neg y)) (sqrt 2))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x 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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (sqrt (* (exp (* t t)) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (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) x y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) 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 (*.f64 t #s(literal 1/2 binary64)) 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)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 t t) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))))) |
(/.f64 (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 t t)) (sqrt.f64 z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) #s(approx (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 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)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) x) #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (fma.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)))) |
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) 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 (-.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 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #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 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (*.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 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.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)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.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 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
13 calls:
| 123.0ms | z |
| 40.0ms | t |
| 23.0ms | (*.f64 z #s(literal 2 binary64)) |
| 22.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 22.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.6% | 1 | x |
| 90.6% | 1 | z |
| 90.6% | 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)))) |
| 90.6% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 90.6% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 90.6% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 90.6% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 90.6% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 90.6% | 1 | y |
| 90.6% | 1 | t |
| 90.6% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 90.6% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 90.6% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #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)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt.f64 z)) (sqrt.f64 #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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #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))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) 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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) #s(approx (+ (* (* t t) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* (* 1/8 t) t) 1/2))) (* (+ (* x 1/2) (neg y)) (sqrt 2))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x 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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (sqrt (* (exp (* t t)) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (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) x y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) 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 (*.f64 t #s(literal 1/2 binary64)) 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)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 t t) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))))) |
(/.f64 (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 t t)) (sqrt.f64 z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) #s(approx (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 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)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) x) #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (fma.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)))) |
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 #s(literal 1/4 binary64) x) x)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) 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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (fma.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64)))))) |
13 calls:
| 41.0ms | (*.f64 t t) |
| 38.0ms | z |
| 30.0ms | (*.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)))) |
| 24.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 23.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 1 | x |
| 86.8% | 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)))) |
| 86.8% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 86.8% | 1 | y |
| 86.8% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 86.8% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 86.8% | 1 | z |
| 86.8% | 1 | t |
| 86.8% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 86.8% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 86.8% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 86.8% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 86.8% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #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)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt.f64 z)) (sqrt.f64 #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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #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))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) 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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) #s(approx (+ (* (* t t) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* (* 1/8 t) t) 1/2))) (* (+ (* x 1/2) (neg y)) (sqrt 2))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x 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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (sqrt (* (exp (* t t)) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (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) x y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) 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 (*.f64 t #s(literal 1/2 binary64)) 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)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 t t) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))))) |
(/.f64 (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 t t)) (sqrt.f64 z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) #s(approx (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 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)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) x) #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (*.f64 #s(approx (+ (* (* x x) 1/4) (* (neg y) y)) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
| Outputs |
|---|
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))))) |
13 calls:
| 35.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 30.0ms | z |
| 23.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 21.0ms | y |
| 15.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 1 | y |
| 84.2% | 1 | z |
| 87.8% | 3 | t |
| 84.2% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 84.2% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 87.8% | 3 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 87.8% | 3 | (*.f64 t t) |
| 84.2% | 1 | x |
| 84.2% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 84.2% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 84.2% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 84.2% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 84.2% | 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)))) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #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)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt.f64 z)) (sqrt.f64 #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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #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))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) 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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) #s(approx (+ (* (* t t) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* (* 1/8 t) t) 1/2))) (* (+ (* x 1/2) (neg y)) (sqrt 2))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x 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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (sqrt (* (exp (* t t)) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (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) x y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) 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 (*.f64 t #s(literal 1/2 binary64)) 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)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 t t) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))))) |
(/.f64 (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 t t)) (sqrt.f64 z)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 (neg.f64 y) y) (+.f64 #s(literal 0 binary64) y))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) #s(approx (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))))) |
| Outputs |
|---|
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
4 calls:
| 111.0ms | (*.f64 t t) |
| 19.0ms | t |
| 12.0ms | y |
| 11.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 1 | y |
| 84.2% | 1 | t |
| 84.2% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 84.2% | 1 | (*.f64 t t) |
Compiled 26 to 20 computations (23.1% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #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)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt.f64 z)) (sqrt.f64 #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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #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))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) 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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) #s(approx (+ (* (* t t) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* (* 1/8 t) t) 1/2))) (* (+ (* x 1/2) (neg y)) (sqrt 2))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x 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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (sqrt (* (exp (* t t)) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x 1/2) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
13 calls:
| 182.0ms | y |
| 179.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 47.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 36.0ms | (*.f64 z #s(literal 2 binary64)) |
| 18.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 1 | z |
| 80.8% | 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)))) |
| 80.8% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 80.8% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 80.8% | 1 | x |
| 80.8% | 1 | t |
| 80.8% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 80.8% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 80.8% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 80.8% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 80.8% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 80.8% | 1 | (*.f64 t t) |
| 80.8% | 1 | y |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #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)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt.f64 z)) (sqrt.f64 #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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #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))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) 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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #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 (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) #s(approx (+ (* (* t t) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* (* 1/8 t) t) 1/2))) (* (+ (* x 1/2) (neg y)) (sqrt 2))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x 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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (sqrt (* (exp (* t t)) (* z 2))) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
13 calls:
| 14.0ms | z |
| 8.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 8.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 8.0ms | x |
| 7.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.0% | 3 | y |
| 53.4% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 62.9% | 3 | x |
| 70.1% | 2 | t |
| 56.7% | 3 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 62.9% | 3 | (*.f64 x #s(literal 1/2 binary64)) |
| 69.3% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 70.1% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 70.1% | 2 | (*.f64 t t) |
| 53.4% | 1 | z |
| 67.0% | 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)))) |
| 53.4% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 53.4% | 1 | (*.f64 z #s(literal 2 binary64)) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #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)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) 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))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) #s(approx (* (neg y) (* (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt 2))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) #s(approx (* (* (sqrt z) (sqrt 2)) (+ (* 1/2 (* t t)) 1)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (neg.f64 y) (*.f64 #s(approx (* (+ (* (* t 1/2) t) 1) (sqrt z)) (sqrt.f64 z)) (sqrt.f64 #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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #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))) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
13 calls:
| 47.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 26.0ms | z |
| 5.0ms | y |
| 5.0ms | (*.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)))) |
| 4.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.1% | 1 | z |
| 53.1% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 53.1% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 53.1% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 53.1% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 53.1% | 1 | y |
| 53.1% | 1 | x |
| 53.1% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 53.1% | 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)))) |
| 53.1% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 53.1% | 1 | t |
| 53.1% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 53.1% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #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)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
13 calls:
| 24.0ms | (/.f64 (*.f64 t t) #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)) |
| 2.0ms | y |
| 2.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.8% | 2 | z |
| 31.8% | 2 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 31.8% | 2 | (*.f64 z #s(literal 2 binary64)) |
| 36.1% | 4 | t |
| 33.0% | 3 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 33.0% | 3 | (*.f64 t t) |
| 32.9% | 3 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 41.1% | 3 | y |
| 32.9% | 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)))) |
| 44.8% | 3 | x |
| 32.9% | 3 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 44.8% | 3 | (*.f64 x #s(literal 1/2 binary64)) |
| 29.6% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 112 to 88 computations (21.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
13 calls:
| 21.0ms | (*.f64 z #s(literal 2 binary64)) |
| 1.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 1.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 1.0ms | (*.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) |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.3% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 26.3% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 26.3% | 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)))) |
| 26.3% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 26.3% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 26.3% | 1 | (*.f64 t t) |
| 26.3% | 1 | z |
| 26.3% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 26.3% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 26.3% | 1 | t |
| 26.3% | 1 | y |
| 26.3% | 1 | x |
| 26.3% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
Compiled 112 to 88 computations (21.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.2036000098468517e+77 | 6.30024773884582e+79 |
| 0.0ms | 1.2927607454049246e-16 | 8.684611581346749e-16 |
Compiled 24 to 22 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.2036000098468517e+77 | 6.30024773884582e+79 |
| 0.0ms | 3896537.0834874446 | 71284546.46005291 |
Compiled 24 to 22 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.910549560191449e+253 | 7.788547414170429e+255 |
| 0.0ms | 6.6821630843354545e+87 | 1.4771052446657233e+106 |
Compiled 24 to 22 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.6821630843354545e+87 | 1.4771052446657233e+106 |
Compiled 24 to 22 computations (8.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 5.315802287447603e-45 | 1.2650104069227549e-42 |
| 49.0ms | -2.320877498759747e+69 | -5.685278302215521e+66 |
| 18.0ms | 240× | 0 | valid |
Compiled 429 to 307 computations (28.4% saved)
ival-mult: 5.0ms (41.3% of total)ival-div: 2.0ms (16.5% of total)ival-exp: 2.0ms (16.5% of total)ival-sqrt: 2.0ms (16.5% of total)ival-sub: 1.0ms (8.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 49× | *-commutative_binary64 |
| 12× | neg-sub0_binary64 |
| 12× | neg-mul-1_binary64 |
| 11× | +-commutative_binary64 |
| 11× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 146 | 770 |
| 1 | 198 | 770 |
| 2 | 228 | 770 |
| 3 | 262 | 770 |
| 4 | 275 | 770 |
| 5 | 281 | 770 |
| 6 | 282 | 770 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 t t) #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) (if (<=.f64 (*.f64 t t) #s(literal 500000000000000004246810716844851488074434962299380307947499551351398452953088 binary64)) (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) |
(if (<=.f64 (*.f64 t t) #s(literal 5000000 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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 t t) #s(literal 500000000000000004246810716844851488074434962299380307947499551351398452953088 binary64)) (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #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 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (fma.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64)))))) |
(if (<=.f64 (*.f64 t t) #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) (if (<=.f64 (*.f64 t t) #s(literal 19999999999999998727174138755351835472851414655140147129678881446716312556105415097786773989173895155962070365218811384910301328330628671487544524818840011120363439405442477136257724874807996552707663947841326301554871916587599432482335939388098056552448 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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 t t) #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -26000000000000000449102776357989308569167396697394711200905536995328 binary64)) (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) (if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 7532522082464017/12554203470773361527671578846415332832204710888928069025792 binary64)) (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(if (<=.f64 (*.f64 t t) #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) (if (<=.f64 (*.f64 t t) #s(literal 500000000000000004246810716844851488074434962299380307947499551351398452953088 binary64)) (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) |
(if (<=.f64 (*.f64 t t) #s(literal 2028240960365167/10141204801825835211973625643008 binary64)) (*.f64 (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (if (<=.f64 (*.f64 t t) #s(literal 500000000000000004246810716844851488074434962299380307947499551351398452953088 binary64)) (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (exp.f64 (*.f64 t t))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
(if (<=.f64 (*.f64 t t) #s(literal 5000000 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 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (if (<=.f64 (*.f64 t t) #s(literal 500000000000000004246810716844851488074434962299380307947499551351398452953088 binary64)) (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 z #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) |
(if (<=.f64 (*.f64 t t) #s(literal 5000000 binary64)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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)))) (if (<=.f64 (*.f64 t t) #s(literal 500000000000000004246810716844851488074434962299380307947499551351398452953088 binary64)) (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (exp.f64 (*.f64 t t))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (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)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #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 (*.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 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #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 (*.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 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) t #s(literal 1/2 binary64)) 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 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (fma.f64 (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 t t) (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (fma.f64 (*.f64 (fma.f64 t t #s(literal 2 binary64)) z) (*.f64 t t) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(if (<=.f64 (*.f64 t t) #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) (if (<=.f64 (*.f64 t t) #s(literal 19999999999999998727174138755351835472851414655140147129678881446716312556105415097786773989173895155962070365218811384910301328330628671487544524818840011120363439405442477136257724874807996552707663947841326301554871916587599432482335939388098056552448 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 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 t t) #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))))) (if (<=.f64 (*.f64 t t) #s(literal 19999999999999998727174138755351835472851414655140147129678881446716312556105415097786773989173895155962070365218811384910301328330628671487544524818840011120363439405442477136257724874807996552707663947841326301554871916587599432482335939388098056552448 binary64)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 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) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)) (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) 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))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 #s(approx (exp (* t t)) (fma.f64 t t #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(if (<=.f64 (*.f64 t t) #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (neg.f64 y) (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) |
(if (<=.f64 (*.f64 t t) #s(literal 9999999999999999594167244563503627314919960896484514396697390098067039229509544255160320 binary64)) (*.f64 (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (+ (* (* t 1/2) t) 1) (* (* (neg (sqrt z)) (sqrt 2)) (+ (* -1/2 x) y))) (*.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -26000000000000000449102776357989308569167396697394711200905536995328 binary64)) (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) (if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 7532522082464017/12554203470773361527671578846415332832204710888928069025792 binary64)) (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))))) |
(if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -26000000000000000449102776357989308569167396697394711200905536995328 binary64)) (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (if (<=.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 7532522082464017/12554203470773361527671578846415332832204710888928069025792 binary64)) (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 #s(approx (+ (* 1/2 x) (neg y)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 #s(literal 2 binary64) z)))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 #s(approx (+ (* 1/2 x) (neg y)) (neg.f64 y)) (sqrt.f64 #s(approx (* (exp (* t t)) (* z 2)) (*.f64 #s(literal 2 binary64) z)))) |
| 9 451× | lower-fma.f64 |
| 9 451× | lower-fma.f32 |
| 6 944× | lower-fma.f64 |
| 6 944× | lower-fma.f32 |
| 6 646× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 378 |
| 0 | 105 | 355 |
| 1 | 367 | 348 |
| 2 | 2538 | 342 |
| 0 | 8818 | 340 |
| 0 | 344 | 12641 |
| 1 | 1204 | 10708 |
| 2 | 4592 | 9677 |
| 0 | 8057 | 9477 |
| 0 | 52 | 326 |
| 0 | 88 | 316 |
| 1 | 288 | 314 |
| 2 | 1796 | 314 |
| 0 | 8573 | 314 |
| 0 | 74 | 379 |
| 0 | 115 | 361 |
| 1 | 342 | 351 |
| 2 | 2076 | 351 |
| 0 | 8650 | 349 |
| 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 | 424 | 13156 |
| 1 | 1504 | 12528 |
| 2 | 3463 | 12021 |
| 3 | 7648 | 12021 |
| 0 | 8398 | 11722 |
| 0 | 594 | 14708 |
| 1 | 2078 | 13588 |
| 2 | 5211 | 13031 |
| 0 | 9157 | 12510 |
| 1× | fuel |
| 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 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter 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 |
Compiled 1 738 to 849 computations (51.2% saved)
(abs t)
Compiled 1 580 to 598 computations (62.2% saved)
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