
Time bar (total: 1.1min)
| 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)
| 9.4s | 1 973× | 0 | invalid |
| 5.6s | 8 256× | 0 | valid |
ival-mult: 13.8s (95% of total)ival-div: 265.0ms (1.8% of total)ival-exp: 229.0ms (1.6% of total)ival-sub: 142.0ms (1% of total)ival-sqrt: 72.0ms (0.5% of total)exact: 10.0ms (0.1% of total)ival-true: 8.0ms (0.1% of total)ival-assert: 4.0ms (0% of total)| 1× | egg-herbie |
| 1 466× | times-frac |
| 1 444× | unsub-neg |
| 1 344× | lower-fma.f64 |
| 1 344× | lower-fma.f32 |
| 934× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 232 |
| 1 | 192 | 226 |
| 2 | 495 | 224 |
| 3 | 1536 | 224 |
| 4 | 4035 | 224 |
| 5 | 6477 | 224 |
| 0 | 15 | 17 |
| 0 | 24 | 16 |
| 1 | 36 | 16 |
| 2 | 58 | 16 |
| 3 | 115 | 16 |
| 4 | 246 | 16 |
| 5 | 375 | 16 |
| 6 | 507 | 16 |
| 7 | 817 | 16 |
| 8 | 1505 | 16 |
| 9 | 1943 | 16 |
| 10 | 2083 | 16 |
| 11 | 2101 | 16 |
| 12 | 2101 | 16 |
| 13 | 2121 | 16 |
| 14 | 2129 | 16 |
| 15 | 2129 | 16 |
| 0 | 2129 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (sqrt.f64 (exp.f64 (*.f64 t t))))) |
(abs t)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 2 | 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)))) |
| 1 | 0 | - | 0 | - | (sqrt.f64 (*.f64 z #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 | - | (*.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 | 2 | 0 |
| ↳ | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | underflow | 3 | |
| ↳ | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) | overflow | 132 | |
| ↳ | (/.f64 (*.f64 t t) #s(literal 2 binary64)) | overflow | 78 | |
| ↳ | (*.f64 t t) | overflow | 78 | |
sqrt.f64 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) | oflow-rescue | 1 | 0 |
| ↳ | (*.f64 z #s(literal 2 binary64)) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2 | 0 |
| - | 1 | 253 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2 | 0 | 0 |
| - | 1 | 0 | 253 |
| number | freq |
|---|---|
| 0 | 253 |
| 1 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 55.0ms | 512× | 0 | valid |
Compiled 170 to 64 computations (62.4% saved)
ival-mult: 17.0ms (53.7% of total)ival-exp: 4.0ms (12.6% of total)ival-sqrt: 4.0ms (12.6% of total)ival-div: 3.0ms (9.5% of total)ival-sub: 2.0ms (6.3% of total)exact: 1.0ms (3.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.0% | (*.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)))) |
Compiled 21 to 15 computations (28.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 64 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 1 344× | lower-fma.f64 |
| 1 344× | lower-fma.f32 |
| 922× | lower-*.f32 |
| 912× | lower-*.f64 |
| 418× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 62 |
| 0 | 24 | 60 |
| 1 | 36 | 60 |
| 2 | 58 | 60 |
| 3 | 115 | 60 |
| 4 | 246 | 60 |
| 5 | 375 | 60 |
| 6 | 507 | 60 |
| 7 | 817 | 60 |
| 8 | 1505 | 60 |
| 9 | 1943 | 60 |
| 10 | 2083 | 60 |
| 11 | 2101 | 60 |
| 12 | 2101 | 60 |
| 13 | 2121 | 60 |
| 14 | 2129 | 60 |
| 15 | 2129 | 60 |
| 0 | 2129 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
t |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (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)))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal -1/2 binary64) y))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(sqrt.f64 (exp.f64 (*.f64 t t))) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.6% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.2% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 32.0ms | 256× | 0 | valid |
Compiled 64 to 17 computations (73.4% saved)
ival-mult: 7.0ms (42% of total)ival-div: 4.0ms (24% of total)ival-exp: 2.0ms (12% of total)ival-sqrt: 2.0ms (12% of total)ival-sub: 1.0ms (6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))> |
#<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))))> |
#<alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))> |
#<alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)> |
#<alt (sqrt.f64 (*.f64 z #s(literal 2 binary64)))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow t 2)))> |
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2)))))> |
#<alt (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))> |
#<alt (exp (* 1/2 (pow t 2)))> |
#<alt (exp (* 1/2 (pow t 2)))> |
#<alt (exp (* 1/2 (pow t 2)))> |
#<alt (exp (* 1/2 (pow t 2)))> |
#<alt (exp (* 1/2 (pow t 2)))> |
#<alt (exp (* 1/2 (pow t 2)))> |
#<alt (exp (* 1/2 (pow t 2)))> |
#<alt (exp (* 1/2 (pow t 2)))> |
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))> |
#<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))))> |
#<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))))> |
#<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))))> |
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))> |
#<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))))))> |
#<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))))))> |
#<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))))))> |
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))> |
#<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)))))> |
#<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)))))> |
#<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)))))> |
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))> |
#<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))))> |
#<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))))> |
#<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))))> |
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))> |
#<alt (* 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)))))> |
#<alt (* 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)))))> |
#<alt (* 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)))))> |
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))> |
#<alt (* -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))))))> |
#<alt (* -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))))))> |
#<alt (* -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))))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))> |
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))> |
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))> |
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (+ (* (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)))))))> |
#<alt (+ (* (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)))))))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 y)> |
#<alt (- (* 1/2 x) y)> |
#<alt (- (* 1/2 x) y)> |
#<alt (- (* 1/2 x) y)> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1 (/ y x))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (/ y x) 1/2)))> |
#<alt (* -1 (* x (- (/ y x) 1/2)))> |
#<alt (* -1 (* x (- (/ y x) 1/2)))> |
#<alt (* 1/2 x)> |
#<alt (+ (* -1 y) (* 1/2 x))> |
#<alt (+ (* -1 y) (* 1/2 x))> |
#<alt (+ (* -1 y) (* 1/2 x))> |
#<alt (* -1 y)> |
#<alt (* y (- (* 1/2 (/ x y)) 1))> |
#<alt (* y (- (* 1/2 (/ x y)) 1))> |
#<alt (* y (- (* 1/2 (/ x y)) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))> |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (* (- (* x 1/2) y) (sqrt (* z 2))) |
| 3.0ms | z | @ | 0 | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
| 2.0ms | x | @ | 0 | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
| 1.0ms | x | @ | -inf | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
| 1.0ms | y | @ | 0 | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
| 1× | batch-egg-rewrite |
| 6 922× | lower-fma.f64 |
| 6 922× | lower-fma.f32 |
| 4 292× | lower-/.f32 |
| 4 290× | lower-/.f64 |
| 3 846× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 42 |
| 0 | 24 | 40 |
| 1 | 63 | 39 |
| 2 | 285 | 39 |
| 3 | 2343 | 39 |
| 0 | 8616 | 39 |
| 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) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| Outputs |
|---|
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (*.f64 t t))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 t (neg.f64 t)))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (E.f64)) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 t #s(literal 1/2 binary64)))) t)) |
(fabs.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(sqrt.f64 (exp.f64 (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 t (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))) |
(pow.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (*.f64 t t)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 t) (+.f64 (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 t t)) |
(pow.f64 (exp.f64 (*.f64 t (neg.f64 t))) #s(literal -1/2 binary64)) |
(pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (*.f64 t #s(literal 1/2 binary64))) t) |
(pow.f64 (exp.f64 (*.f64 t #s(literal 1/2 binary64))) (neg.f64 (neg.f64 t))) |
(pow.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (*.f64 t (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 t) #s(literal 1 binary64)) (*.f64 t #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 t t)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 t (neg.f64 t))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (neg.f64 t)) (neg.f64 t)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (neg.f64 (neg.f64 t))) t) |
(pow.f64 (pow.f64 (E.f64) t) (*.f64 t #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) #s(literal 1/2 binary64)) (*.f64 t t)) |
(pow.f64 (pow.f64 (E.f64) (*.f64 t (neg.f64 t))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (E.f64) #s(literal 1 binary64)) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) #s(literal -1 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) (neg.f64 t)) (/.f64 t #s(literal -2 binary64))) |
(pow.f64 (pow.f64 (E.f64) (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) #s(literal -1/2 binary64)) (*.f64 t (neg.f64 t))) |
(pow.f64 (pow.f64 (E.f64) (pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) t)) (*.f64 t #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 t)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 (*.f64 t #s(literal 1/2 binary64))) (sqrt.f64 t)) (sqrt.f64 t)) |
(pow.f64 (*.f64 (exp.f64 (*.f64 t t)) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (exp.f64 t) (exp.f64 t)) (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (neg.f64 t)) (/.f64 t #s(literal -2 binary64))) |
(pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 t (neg.f64 t))) |
(pow.f64 (exp.f64 (pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (*.f64 #s(literal 1 binary64) t)) (*.f64 t #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 t)))) #s(literal -1/2 binary64)) |
(*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/4 binary64))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/4 binary64)))) |
(*.f64 (exp.f64 (*.f64 t (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (exp.f64 (*.f64 t (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (sqrt.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (neg.f64 y))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(+.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(fma.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(fma.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (neg.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (neg.f64 y) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (+.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (*.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (+.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 y y))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)))))) (neg.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (fma.f64 (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) (neg.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/512 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)))) (pow.f64 (neg.f64 (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 (neg.f64 (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 y (*.f64 x #s(literal 1/2 binary64))) (-.f64 y (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) |
(*.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) |
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))))) (fma.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y))))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/512 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) z)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 z) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 18 894× | lower-fma.f64 |
| 18 894× | lower-fma.f32 |
| 6 254× | lower-*.f64 |
| 6 254× | lower-*.f32 |
| 4 660× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 2087 |
| 1 | 454 | 1608 |
| 2 | 1580 | 1515 |
| 3 | 4468 | 1512 |
| 0 | 8848 | 1500 |
| 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))))) |
(* (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)))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 y)))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 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 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) 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 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) 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 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) 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 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) 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))))))) |
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(+ (* (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))))))))) |
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64)))))) |
(* -1 y) |
(neg.f64 y) |
(- (* 1/2 x) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(- (* 1/2 x) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(- (* 1/2 x) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* -1 (* x (- (/ y x) 1/2))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* -1 (* x (- (/ y x) 1/2))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* -1 (* x (- (/ y x) 1/2))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(+ (* -1 y) (* 1/2 x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(+ (* -1 y) (* 1/2 x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(+ (* -1 y) (* 1/2 x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -2 binary64))))) |
Compiled 20 165 to 1 668 computations (91.7% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 530 | 15 | 545 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 531 | 15 | 546 |
| Status | Accuracy | Program |
|---|---|---|
| 95.2% | (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))) | |
| 99.8% | (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) | |
| 63.8% | (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| 63.8% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| ▶ | 71.8% | (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) |
| 71.8% | (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) | |
| ▶ | 99.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
| 95.3% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 92.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 85.8% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) | |
| ▶ | 56.4% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| ▶ | 94.3% | (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
| ▶ | 88.6% | (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
| 56.0% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
Compiled 908 to 536 computations (41% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 z) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
| ✓ | cost-diff | 1472 | (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
| ✓ | cost-diff | 0 | (sqrt.f64 z) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.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 | 320 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
| 11 828× | lower-fma.f32 |
| 11 820× | lower-fma.f64 |
| 5 206× | lower-*.f32 |
| 5 166× | lower-*.f64 |
| 2 936× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 400 |
| 0 | 77 | 398 |
| 1 | 149 | 398 |
| 2 | 369 | 386 |
| 3 | 1589 | 386 |
| 4 | 2810 | 386 |
| 5 | 4824 | 386 |
| 0 | 8026 | 384 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
#s(literal 2 binary64) |
(*.f64 z (exp.f64 (*.f64 t t))) |
z |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(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(literal 1 binary64) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(sqrt.f64 z) |
z |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(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 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
y |
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(sqrt.f64 z) |
z |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
(*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 t t) |
t |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(*.f64 t #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
x |
(*.f64 x #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 y y) |
y |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
#s(literal 2 binary64) |
(*.f64 z (exp.f64 (*.f64 t t))) |
z |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(fma.f64 x #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
#s(literal 2 binary64) |
(*.f64 z (exp.f64 (*.f64 t t))) |
z |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) 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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (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 |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #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 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
y |
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(sqrt.f64 z) |
z |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
y |
(*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 t t) |
t |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(*.f64 t #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y))) |
(-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
x |
(*.f64 x #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 y y) |
y |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
#s(literal 2 binary64) |
(*.f64 z (exp.f64 (*.f64 t t))) |
z |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(fma.f64 x #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 z (exp.f64 (*.f64 t t))) |
| ✓ | accuracy | 99.8% | (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
| ✓ | accuracy | 94.2% | (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) |
| ✓ | accuracy | 77.6% | (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) |
| ✓ | accuracy | 99.4% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
| ✓ | accuracy | 98.0% | (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
| ✓ | accuracy | 97.8% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 90.6% | (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
| ✓ | accuracy | 97.7% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
| ✓ | accuracy | 96.1% | (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.6% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
| ✓ | accuracy | 100.0% | (exp.f64 (*.f64 t t)) |
| ✓ | accuracy | 100.0% | (*.f64 z (exp.f64 (*.f64 t t))) |
| ✓ | accuracy | 99.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
| 98.0ms | 256× | 0 | valid |
Compiled 415 to 46 computations (88.9% saved)
ival-mult: 30.0ms (61.8% of total)ival-sqrt: 7.0ms (14.4% of total)ival-add: 4.0ms (8.2% of total)ival-sub: 3.0ms (6.2% of total)ival-div: 2.0ms (4.1% of total)ival-exp: 2.0ms (4.1% of total)exact: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))> |
#<alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)> |
#<alt (*.f64 x #s(literal 1/2 binary64))> |
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))> |
#<alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))> |
#<alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))> |
#<alt (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))> |
#<alt (sqrt.f64 z)> |
#<alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))> |
#<alt (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))> |
#<alt (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))))> |
#<alt (sqrt.f64 #s(literal 2 binary64))> |
#<alt (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)))> |
#<alt (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))> |
#<alt (*.f64 x (*.f64 x #s(literal 1/4 binary64)))> |
#<alt (*.f64 x #s(literal 1/4 binary64))> |
#<alt (*.f64 z (exp.f64 (*.f64 t t)))> |
#<alt (exp.f64 (*.f64 t t))> |
#<alt (sqrt.f64 (*.f64 z #s(literal 2 binary64)))> |
#<alt (*.f64 z #s(literal 2 binary64))> |
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))> |
#<alt (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))> |
#<alt (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))> |
#<alt (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))> |
| Outputs |
|---|
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (+ (* (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)))))))> |
#<alt (+ (* (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)))))))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* -1 y)> |
#<alt (- (* 1/2 x) y)> |
#<alt (- (* 1/2 x) y)> |
#<alt (- (* 1/2 x) y)> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1 (/ y x))))> |
#<alt (* x (+ 1/2 (* -1 (/ y x))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (/ y x) 1/2)))> |
#<alt (* -1 (* x (- (/ y x) 1/2)))> |
#<alt (* -1 (* x (- (/ y x) 1/2)))> |
#<alt (* 1/2 x)> |
#<alt (+ (* -1 y) (* 1/2 x))> |
#<alt (+ (* -1 y) (* 1/2 x))> |
#<alt (+ (* -1 y) (* 1/2 x))> |
#<alt (* -1 y)> |
#<alt (* y (- (* 1/2 (/ x y)) 1))> |
#<alt (* y (- (* 1/2 (/ x y)) 1))> |
#<alt (* y (- (* 1/2 (/ x y)) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))> |
#<alt (* -1 (* y (+ 1 (* -1/2 (/ x y)))))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2)))> |
#<alt (+ (* (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)))))))> |
#<alt (+ (* (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)))))))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z)))))> |
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#<alt (sqrt z)> |
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#<alt (+ (* -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))))))))))> |
#<alt (+ (* -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))))))))))> |
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#<alt (* 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))))))))))> |
#<alt (* 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))))))))))> |
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#<alt (* -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))))))))))> |
#<alt (* -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))))))))))> |
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#<alt (+ (* 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))))))))))> |
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#<alt (* 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))))))> |
#<alt (* 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))))))> |
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#<alt (* -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)))))))))> |
#<alt (* -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)))))))))> |
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#<alt (+ (* (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))))))> |
#<alt (* 1/8 (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))))> |
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#<alt (* (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)))))> |
#<alt (* (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)))))> |
#<alt (* 1/8 (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))))> |
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#<alt (* (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)))))> |
#<alt (* (sqrt z) (+ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (* (sqrt 2) (* (+ 1/2 (* 1/8 (pow t 2))) (- (* 1/2 x) y))))))> |
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#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (* 1/2 (* x (sqrt 2)))> |
#<alt (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))> |
#<alt (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))> |
#<alt (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))> |
#<alt (* 1/2 (* x (sqrt 2)))> |
#<alt (* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))> |
#<alt (* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))> |
#<alt (* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))> |
#<alt (* 1/2 (* x (sqrt 2)))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt (* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))> |
#<alt (* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))> |
#<alt (* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt (* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))> |
#<alt (* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))> |
#<alt (* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))> |
#<alt (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (pow t 2) (+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))))> |
#<alt (* (pow t 2) (+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))))> |
#<alt (* (pow t 2) (+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))))> |
#<alt (* 1/8 (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* 1/8 (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))> |
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))> |
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))> |
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))> |
#<alt (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))> |
#<alt (* x (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))> |
#<alt (* x (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))> |
#<alt (* x (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))> |
#<alt (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x))))> |
#<alt (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))> |
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))> |
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))> |
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))> |
#<alt (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))> |
#<alt (* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y))))> |
#<alt (* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y))))> |
#<alt (* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y))))> |
#<alt (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))> |
#<alt (* -1 (* y (+ (* -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))))))))> |
#<alt (* -1 (* y (+ (* -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))))))))> |
#<alt (* -1 (* y (+ (* -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))))))))> |
#<alt (* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))> |
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))> |
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))> |
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))> |
#<alt (* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))> |
#<alt (* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))> |
#<alt (* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))> |
#<alt (* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))> |
#<alt (* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) x))))> |
#<alt (* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))> |
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))> |
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))> |
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))> |
#<alt (* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))> |
#<alt (* y (+ (* -1 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) y))))> |
#<alt (* y (+ (* -1 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) y))))> |
#<alt (* y (+ (* -1 (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) y))))> |
#<alt (* -1 (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))> |
#<alt (* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) y)) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))> |
#<alt (* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) y)) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))> |
#<alt (* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))) y)) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))> |
#<alt (* 1/2 (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (+ (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (pow t 2) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* (pow t 2) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* (pow t 2) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (pow t 2) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* (pow t 2) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* (pow t 2) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (sqrt -1)) (+ y (* 1/2 x)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (sqrt -1)) (+ y (* 1/2 x)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (sqrt -1)) (+ y (* 1/2 x)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (sqrt -1)) (+ y (* 1/2 x)))))> |
#<alt (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (+ (* 1/2 (* (/ (* (pow t 2) (sqrt 2)) (+ y (* 1/2 x))) (sqrt z))) (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x)))))> |
#<alt (+ (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (+ y (* 1/2 x))) (sqrt (/ 1 z)))))))> |
#<alt (+ (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x))))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (+ y (* 1/2 x))) (sqrt (/ 1 z)))))))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x))))> |
#<alt (* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2)))))> |
#<alt (+ (* -1/2 (* (/ (* x (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2))))))> |
#<alt (+ (* x (+ (* -1/2 (* (/ (sqrt 2) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (/ (* x (sqrt 2)) (pow y 3)) (sqrt (* z (exp (pow t 2)))))))) (* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2))))))> |
#<alt (+ (* x (+ (* -1/2 (* (/ (sqrt 2) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* x (+ (* -1/8 (* (/ (* x (sqrt 2)) (pow y 4)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (/ (sqrt 2) (pow y 3)) (sqrt (* z (exp (pow t 2)))))))))) (* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2))))))> |
#<alt (/ (+ (* -4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))) x)> |
#<alt (/ (+ (* -4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (+ (* 2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 8 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2)))))))) x)> |
#<alt (/ (+ (* -16 (* (/ (* (pow y 3) (sqrt 2)) (pow x 3)) (sqrt (* z (exp (pow t 2)))))) (+ (* -4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (+ (* 2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 8 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2))))))))) x)> |
#<alt (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* -1 (/ (+ (* -2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))) x))> |
#<alt (* -1 (/ (+ (* -2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -4 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 8 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))) x))) x))> |
#<alt (* -1 (/ (+ (* -2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -4 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* -1 (/ (+ (* -8 (* (* (pow y 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 16 (* (/ (* (pow y 3) (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))) x))) x))) x))> |
#<alt (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2))))))> |
#<alt (+ (* -4 (* (/ (* y (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (+ (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -4 (* (/ (sqrt 2) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* 8 (* (/ (* y (sqrt 2)) (pow x 3)) (sqrt (* z (exp (pow t 2)))))))))> |
#<alt (+ (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -4 (* (/ (sqrt 2) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -16 (* (/ (* y (sqrt 2)) (pow x 4)) (sqrt (* z (exp (pow t 2)))))) (* 8 (* (/ (sqrt 2) (pow x 3)) (sqrt (* z (exp (pow t 2)))))))))))> |
#<alt (* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2)))))> |
#<alt (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) y)> |
#<alt (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))) y)> |
#<alt (/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (+ (* -1/8 (* (/ (* (pow x 3) (sqrt 2)) (pow y 3)) (sqrt (* z (exp (pow t 2)))))) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) y)> |
#<alt (* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2)))))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y))) y))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/8 (* (/ (* (pow x 3) (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y)) (* -1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) y))) y))> |
168 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | z | @ | 0 | (* (sqrt z) (+ (* (sqrt 2) (- (* 1/2 x) y)) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2))))) |
| 7.0ms | t | @ | 0 | (* (sqrt z) (+ (* (sqrt 2) (- (* 1/2 x) y)) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* t (* t 1/8)) 1/2))))) |
| 3.0ms | t | @ | 0 | (* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t)))))) |
| 3.0ms | y | @ | 0 | (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))) |
| 3.0ms | z | @ | -inf | (/ (sqrt (* 2 (* z (exp (* t t))))) (+ (* x 1/2) y)) |
| 1× | batch-egg-rewrite |
| 10 850× | lower-fma.f32 |
| 10 842× | lower-fma.f64 |
| 5 098× | lower-*.f32 |
| 5 058× | lower-*.f64 |
| 4 124× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 268 |
| 0 | 77 | 257 |
| 1 | 242 | 256 |
| 2 | 1580 | 256 |
| 0 | 8481 | 256 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(sqrt.f64 z) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
(*.f64 x #s(literal 1/4 binary64)) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(exp.f64 (*.f64 t t)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
| Outputs |
|---|
(+.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 y (neg.f64 y)))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))) (/.f64 (*.f64 y y) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))) |
(fma.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 y (neg.f64 y)))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (*.f64 y (neg.f64 y)) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))))) |
(/.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))))) |
(/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))) |
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y)))) (/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1 binary64)) (/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y)))) (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y)))) (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 9 632× | lower-fma.f64 |
| 9 632× | lower-fma.f32 |
| 7 220× | lower-*.f64 |
| 7 220× | lower-*.f32 |
| 4 122× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 658 | 14117 |
| 1 | 2255 | 13059 |
| 2 | 5607 | 12606 |
| 0 | 8309 | 12007 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* 1/2 x) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(* -1 y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* (sqrt z) (sqrt 2)) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z))))))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* -1 (* (* y (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))))) |
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(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
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(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
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(* -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))) |
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(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
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(* (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))))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) |
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(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) |
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(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 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)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (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)))) |
(* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))) |
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(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))) |
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(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
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(+ (* -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))))) |
(* 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))))) |
(* 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)))))))) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(sqrt z) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt z) (pow (sqrt -1) 2))) |
(* (sqrt 2) (- (* 1/2 x) y)) |
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) |
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(* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))) |
(* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))) |
(* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)))) |
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* y (+ (* -1 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y)))) |
(* y (+ (* -1 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y)))) |
(* y (+ (* -1 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y)))) |
(* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y)) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y)) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y)) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
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 (* 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))))))))) |
(* (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))))) |
(* (sqrt z) (+ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (* (sqrt 2) (* (+ 1/2 (* 1/8 (pow t 2))) (- (* 1/2 x) y)))))) |
(* (sqrt z) (+ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (* (sqrt 2) (* (+ 1/2 (* 1/8 (pow t 2))) (- (* 1/2 x) y)))))) |
(* (sqrt z) (+ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (* (sqrt 2) (* (+ 1/2 (* 1/8 (pow t 2))) (- (* 1/2 x) y)))))) |
(* (sqrt z) (+ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (* (sqrt 2) (* (+ 1/2 (* 1/8 (pow t 2))) (- (* 1/2 x) y)))))) |
(* (sqrt z) (+ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (* (sqrt 2) (* (+ 1/2 (* 1/8 (pow t 2))) (- (* 1/2 x) y)))))) |
(* (sqrt z) (+ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (* (sqrt 2) (* (+ 1/2 (* 1/8 (pow t 2))) (- (* 1/2 x) y)))))) |
(* (sqrt z) (+ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (* (sqrt 2) (* (+ 1/2 (* 1/8 (pow t 2))) (- (* 1/2 x) y)))))) |
(* (sqrt z) (+ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (* (sqrt 2) (* (+ 1/2 (* 1/8 (pow t 2))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (* (sqrt 2) (* (+ 1/2 (* 1/8 (pow t 2))) (- (* 1/2 x) y)))))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (* (sqrt 2) (* (+ 1/2 (* 1/8 (pow t 2))) (- (* 1/2 x) y)))))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (* (sqrt 2) (* (+ 1/2 (* 1/8 (pow t 2))) (- (* 1/2 x) y)))))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (* (sqrt 2) (* (+ 1/2 (* 1/8 (pow t 2))) (- (* 1/2 x) y)))))))) |
(* (sqrt z) (+ (* -1 (* y (sqrt 2))) (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))) |
(+ (* (sqrt z) (+ (* -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)))))))) (sqrt z))) |
(+ (* (sqrt z) (+ (* -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)))))))) (sqrt z))) |
(+ (* (sqrt z) (+ (* -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)))))))) (sqrt z))) |
(* (* x (+ (* 1/2 (sqrt 2)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (sqrt z)) |
(* x (+ (* (sqrt z) (+ (* 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) (sqrt z)))) |
(* x (+ (* (sqrt z) (+ (* 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) (sqrt z)))) |
(* x (+ (* (sqrt z) (+ (* 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) (sqrt z)))) |
(* -1 (* (* x (+ (* -1/2 (sqrt 2)) (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (sqrt z))) |
(* -1 (* x (+ (* -1 (* (/ (+ (* -1 (* y (sqrt 2))) (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) x) (sqrt z))) (* (sqrt z) (+ (* -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) (sqrt z))) (* (sqrt z) (+ (* -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) (sqrt z))) (* (sqrt z) (+ (* -1/2 (sqrt 2)) (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))))) |
(* (sqrt z) (+ (* 1/2 (* x (sqrt 2))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))))) |
(+ (* (sqrt z) (+ (* 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)))))))) (sqrt z))) |
(+ (* (sqrt z) (+ (* 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)))))))) (sqrt z))) |
(+ (* (sqrt z) (+ (* 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)))))))) (sqrt z))) |
(* (* y (+ (* -1 (sqrt 2)) (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) (sqrt z)) |
(* y (+ (* (sqrt z) (+ (* -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) (sqrt z)))) |
(* y (+ (* (sqrt z) (+ (* -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) (sqrt z)))) |
(* y (+ (* (sqrt z) (+ (* -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) (sqrt z)))) |
(* -1 (* (* y (+ (sqrt 2) (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (sqrt z))) |
(* -1 (* y (+ (* -1 (* (/ (+ (* 1/2 (* x (sqrt 2))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) y) (sqrt z))) (* (sqrt z) (+ (sqrt 2) (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))))) |
(* -1 (* y (+ (* -1 (* (/ (+ (* 1/2 (* x (sqrt 2))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) y) (sqrt z))) (* (sqrt z) (+ (sqrt 2) (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))))) |
(* -1 (* y (+ (* -1 (* (/ (+ (* 1/2 (* x (sqrt 2))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) y) (sqrt z))) (* (sqrt z) (+ (sqrt 2) (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 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) (+ (* 1/8 (* (* (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) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(* 1/8 (* (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))) |
(* 1/8 (* (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))))) |
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(+ (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2)))) (+ y (* 1/2 x))) (sqrt z))) (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))) |
(+ (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (* (- (* 1/4 (pow x 2)) (pow y 2)) (- (* 1/2 z) (* 1/4 z))))) (+ y (* 1/2 x))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x))))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (* (sqrt 2) (* (- (* 1/4 (pow x 2)) (pow y 2)) (- (* 1/2 z) (* 1/4 z)))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/4 (pow x 2)) (pow y 2))))) (+ y (* 1/2 x))) (sqrt (/ 1 z))))))))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt 2) (- (* 1/4 (pow x 2)) (pow y 2))) (+ y (* 1/2 x)))) |
(* -1 (pow y 2)) |
(- (* 1/4 (pow x 2)) (pow y 2)) |
(- (* 1/4 (pow x 2)) (pow y 2)) |
(- (* 1/4 (pow x 2)) (pow y 2)) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) |
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) |
(* 1/4 (pow x 2)) |
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2))) |
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2))) |
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 (pow x 2)) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
z |
(+ z (* (pow t 2) z)) |
(+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z))))) |
(+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z)))))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
1 |
(+ 1 (pow t 2)) |
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(exp (pow t 2)) |
(* (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)))) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* -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))))) |
(* 1/2 (* (pow t 2) (* (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))))) |
(* (pow t 2) (+ (* 1/8 (* (pow t 2) (* (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)))) (* 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))))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(* 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))))) |
(* (pow t 4) (+ (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/2 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) |
(+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) |
(+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) |
(* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(* x (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) |
(* x (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) |
(* x (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) |
(* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(* -1 (* x (+ (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x)))) |
(* -1 (* x (+ (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x)))) |
(* -1 (* x (+ (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) x)))) |
(* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) |
(+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) |
(+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))))) |
(* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y)))) |
(* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y)))) |
(* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2)))))) y)))) |
(* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/2 (* 1/8 (pow t 2))))))) |
(* -1 (* y (+ (* -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 (+ (* -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 (+ (* -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) (+ 1/2 (* 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))))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (sqrt -1)) (+ y (* 1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (sqrt -1)) (+ y (* 1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (sqrt -1)) (+ y (* 1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (/ (* (sqrt -2) (sqrt -1)) (+ y (* 1/2 x))))) |
(* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(+ (* 1/2 (* (/ (* (pow t 2) (sqrt 2)) (+ y (* 1/2 x))) (sqrt z))) (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x))))) |
(+ (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (+ y (* 1/2 x))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (sqrt 2) (+ y (* 1/2 x))))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))) (+ y (* 1/2 x))))) (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (+ y (* 1/2 x))) (sqrt (/ 1 z))))))))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (sqrt (* z (exp (pow t 2)))) (/ (sqrt 2) (+ y (* 1/2 x)))) |
(* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2))))) |
(+ (* -1/2 (* (/ (* x (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2)))))) |
(+ (* x (+ (* -1/2 (* (/ (sqrt 2) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (/ (* x (sqrt 2)) (pow y 3)) (sqrt (* z (exp (pow t 2)))))))) (* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2)))))) |
(+ (* x (+ (* -1/2 (* (/ (sqrt 2) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* x (+ (* -1/8 (* (/ (* x (sqrt 2)) (pow y 4)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (/ (sqrt 2) (pow y 3)) (sqrt (* z (exp (pow t 2)))))))))) (* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2)))))) |
(* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))) |
(/ (+ (* -4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))) x) |
(/ (+ (* -4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (+ (* 2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 8 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2)))))))) x) |
(/ (+ (* -16 (* (/ (* (pow y 3) (sqrt 2)) (pow x 3)) (sqrt (* z (exp (pow t 2)))))) (+ (* -4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (+ (* 2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 8 (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2))))))))) x) |
(* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (/ (+ (* -2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 4 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))) x)) |
(* -1 (/ (+ (* -2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -4 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 8 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))) x))) x)) |
(* -1 (/ (+ (* -2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -4 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* -1 (/ (+ (* -8 (* (* (pow y 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 16 (* (/ (* (pow y 3) (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))) x))) x))) x)) |
(* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -4 (* (/ (* y (sqrt 2)) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2))))))) |
(+ (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -4 (* (/ (sqrt 2) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* 8 (* (/ (* y (sqrt 2)) (pow x 3)) (sqrt (* z (exp (pow t 2))))))))) |
(+ (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -4 (* (/ (sqrt 2) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -16 (* (/ (* y (sqrt 2)) (pow x 4)) (sqrt (* z (exp (pow t 2)))))) (* 8 (* (/ (sqrt 2) (pow x 3)) (sqrt (* z (exp (pow t 2))))))))))) |
(* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2))))) |
(/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) y) |
(/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))) y) |
(/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (+ (* -1/8 (* (/ (* (pow x 3) (sqrt 2)) (pow y 3)) (sqrt (* z (exp (pow t 2)))))) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) y) |
(* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2))))) |
(* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y)) |
(* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y))) y)) |
(* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/8 (* (/ (* (pow x 3) (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y)) (* -1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) y))) y)) |
| Outputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
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(fma.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal -4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (/.f64 (*.f64 #s(literal 8 binary64) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x (*.f64 x x))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(+ (* 2 (* (/ (sqrt 2) x) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -4 (* (/ (sqrt 2) (pow x 2)) (sqrt (* z (exp (pow t 2)))))) (* y (+ (* -16 (* (/ (* y (sqrt 2)) (pow x 4)) (sqrt (* z (exp (pow t 2)))))) (* 8 (* (/ (sqrt 2) (pow x 3)) (sqrt (* z (exp (pow t 2))))))))))) |
(fma.f64 y (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal -16 binary64) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 8 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x x))))))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))))) |
(* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) |
(/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) y) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) y) |
(/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))) y) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)))))) y) |
(/ (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (+ (* -1/8 (* (/ (* (pow x 3) (sqrt 2)) (pow y 3)) (sqrt (* z (exp (pow t 2)))))) (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) y) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64))))) y) |
(* (/ (sqrt 2) y) (sqrt (* z (exp (pow t 2))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) |
(* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y))) y)) |
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 x x) y))))) y)) y) |
(* -1 (/ (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (* (pow x 2) (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/8 (* (/ (* (pow x 3) (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))) y)) (* -1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) y))) y)) |
(/.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))))) y)) y)) y) |
Compiled 75 543 to 3 935 computations (94.8% saved)
39 alts after pruning (39 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 003 | 35 | 2 038 |
| Fresh | 6 | 4 | 10 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 014 | 39 | 2 053 |
| Status | Accuracy | Program |
|---|---|---|
| 95.2% | (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))) | |
| 19.4% | (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) | |
| 56.4% | (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
| 55.6% | (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x))) (neg.f64 x)) | |
| 85.8% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 47.1% | (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))) | |
| 71.8% | (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) | |
| 55.9% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) | |
| 86.2% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) | |
| 95.3% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) | |
| 91.9% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) | |
| 56.4% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 56.0% | (*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 95.3% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 92.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 56.0% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| 55.9% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) | |
| 16.8% | (*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 86.5% | (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) | |
| 57.3% | (*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| ▶ | 55.0% | (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 52.3% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 z)) | |
| 26.9% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 86.5% | (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) | |
| ▶ | 32.9% | (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 32.4% | (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) | |
| 26.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z)) | |
| 63.3% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) | |
| 88.6% | (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) | |
| ▶ | 83.1% | (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))) |
| 52.3% | (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) | |
| 57.3% | (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) | |
| 88.6% | (*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) | |
| ▶ | 43.9% | (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
| 57.3% | (*.f64 (sqrt.f64 z) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) | |
| 71.9% | (*.f64 (sqrt.f64 z) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 x y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))) | |
| 66.9% | (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) | |
| 41.8% | (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
Compiled 1 742 to 1 216 computations (30.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
| ✓ | cost-diff | 0 | (sqrt.f64 z) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))) |
| ✓ | cost-diff | 704 | (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
| ✓ | cost-diff | 0 | (sqrt.f64 z) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 704 | (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
| 8 496× | lower-fma.f32 |
| 8 494× | lower-fma.f64 |
| 5 104× | lower-*.f32 |
| 5 066× | lower-*.f64 |
| 2 000× | lower-+.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 319 |
| 0 | 74 | 311 |
| 1 | 135 | 307 |
| 2 | 348 | 307 |
| 3 | 1483 | 307 |
| 4 | 4177 | 299 |
| 0 | 8696 | 299 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
#s(literal 2 binary64) |
(*.f64 z (exp.f64 (*.f64 t t))) |
z |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
x |
(-.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(sqrt.f64 z) |
z |
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(*.f64 t t) |
t |
#s(literal 1/2 binary64) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
y |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))) |
(sqrt.f64 z) |
z |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(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 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
x |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 y x) |
y |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
#s(literal 2 binary64) |
(*.f64 z (exp.f64 (*.f64 t t))) |
z |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (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(literal 1 binary64) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
x |
(-.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 t (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))))) |
(sqrt.f64 z) |
z |
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t (*.f64 t (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(*.f64 t t) |
t |
#s(literal 1/2 binary64) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
y |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) |
(sqrt.f64 z) |
z |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 t t) |
t |
#s(literal 1 binary64) |
(*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
x |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(/.f64 y x) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
| ✓ | accuracy | 99.8% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
| ✓ | accuracy | 99.7% | (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))) |
| ✓ | accuracy | 90.6% | (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
| ✓ | accuracy | 99.1% | (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
| ✓ | accuracy | 90.6% | (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 90.7% | (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 99.8% | (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
| ✓ | accuracy | 100.0% | (*.f64 z (exp.f64 (*.f64 t t))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
| 40.0ms | 131× | 0 | exit |
| 36.0ms | 125× | 0 | valid |
Compiled 324 to 43 computations (86.7% saved)
ival-mult: 26.0ms (51.5% of total)ival-sqrt: 10.0ms (19.8% of total)ival-div: 6.0ms (11.9% of total)ival-sub: 4.0ms (7.9% of total)ival-exp: 2.0ms (4% of total)ival-add: 1.0ms (2% of total)ival-neg: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))> |
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))> |
#<alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)> |
#<alt (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))> |
#<alt (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))> |
#<alt (neg.f64 y)> |
#<alt (sqrt.f64 (*.f64 z #s(literal 2 binary64)))> |
#<alt (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))> |
#<alt (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))> |
#<alt (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))> |
#<alt (-.f64 #s(literal 1/2 binary64) (/.f64 y x))> |
#<alt (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))> |
#<alt (sqrt.f64 z)> |
#<alt (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))> |
#<alt (*.f64 (*.f64 t t) #s(literal 1/2 binary64))> |
#<alt (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))> |
#<alt (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))))> |
#<alt (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))> |
#<alt (*.f64 z (exp.f64 (*.f64 t t)))> |
#<alt (*.f64 z #s(literal 2 binary64))> |
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))> |
#<alt (sqrt.f64 #s(literal 2 binary64))> |
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))> |
| Outputs |
|---|
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2))))))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2))))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2)))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (+ (* (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)))))))> |
#<alt (+ (* (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)))))))))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))> |
#<alt (+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/2 (* (/ x (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))> |
#<alt (+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/4 (* (/ x (* (pow y 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))))> |
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#<alt (* (pow t 2) (+ (* 1/2 (* x (* (sqrt 2) (- 1/2 (/ y x))))) (/ (* x (* (sqrt 2) (- 1/2 (/ y x)))) (pow t 2))))> |
#<alt (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (- 1/2 (/ y x))))))> |
#<alt (* (pow t 2) (+ (* 1/2 (* x (* (sqrt 2) (- 1/2 (/ y x))))) (/ (* x (* (sqrt 2) (- 1/2 (/ y x)))) (pow t 2))))> |
#<alt (* (pow t 2) (+ (* 1/2 (* x (* (sqrt 2) (- 1/2 (/ y x))))) (/ (* x (* (sqrt 2) (- 1/2 (/ y x)))) (pow t 2))))> |
#<alt (* (pow t 2) (+ (* 1/2 (* x (* (sqrt 2) (- 1/2 (/ y x))))) (/ (* x (* (sqrt 2) (- 1/2 (/ y x)))) (pow t 2))))> |
#<alt (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))> |
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))> |
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))> |
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))> |
#<alt (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))> |
#<alt (* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))> |
#<alt (* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))> |
#<alt (* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))> |
#<alt (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x))))> |
#<alt (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))> |
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))> |
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))> |
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))> |
#<alt (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))> |
#<alt (* y (+ (* -1 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y))))> |
#<alt (* y (+ (* -1 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y))))> |
#<alt (* y (+ (* -1 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y))))> |
#<alt (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))> |
#<alt (* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y)) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))> |
#<alt (* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y)) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))> |
#<alt (* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y)) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))> |
#<alt (* z (exp (pow t 2)))> |
#<alt (* z (exp (pow t 2)))> |
#<alt (* z (exp (pow t 2)))> |
#<alt (* z (exp (pow t 2)))> |
#<alt (* z (exp (pow t 2)))> |
#<alt (* z (exp (pow t 2)))> |
#<alt (* z (exp (pow t 2)))> |
#<alt (* z (exp (pow t 2)))> |
#<alt (* z (exp (pow t 2)))> |
#<alt (* z (exp (pow t 2)))> |
#<alt (* z (exp (pow t 2)))> |
#<alt (* z (exp (pow t 2)))> |
#<alt z> |
#<alt (+ z (* (pow t 2) z))> |
#<alt (+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z)))))> |
#<alt (+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z))))))> |
#<alt (* z (exp (pow t 2)))> |
#<alt (* z (exp (pow t 2)))> |
#<alt (* z (exp (pow t 2)))> |
#<alt (* z (exp (pow t 2)))> |
#<alt (* z (exp (pow t 2)))> |
#<alt (* z (exp (pow t 2)))> |
#<alt (* z (exp (pow t 2)))> |
#<alt (* z (exp (pow t 2)))> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (* 1/2 (* x (sqrt 2)))> |
#<alt (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))> |
#<alt (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))> |
#<alt (* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))))> |
#<alt (* 1/2 (* x (sqrt 2)))> |
#<alt (* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))> |
#<alt (* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))> |
#<alt (* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))> |
#<alt (* 1/2 (* x (sqrt 2)))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2))))> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt (* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))> |
#<alt (* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))> |
#<alt (* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y))))> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt (* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))> |
#<alt (* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))> |
#<alt (* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y)))))> |
#<alt (* 1/2 (sqrt 2))> |
#<alt (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))> |
#<alt (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))> |
#<alt (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))> |
#<alt (* -1 (/ (* y (sqrt 2)) x))> |
#<alt (* y (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y))))> |
#<alt (* y (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y))))> |
#<alt (* y (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y))))> |
#<alt (* -1 (/ (* y (sqrt 2)) x))> |
#<alt (* -1 (* y (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x))))> |
#<alt (* -1 (* y (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x))))> |
#<alt (* -1 (* y (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x))))> |
#<alt (* -1 (/ (* y (sqrt 2)) x))> |
#<alt (/ (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) x)> |
#<alt (/ (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) x)> |
#<alt (/ (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) x)> |
#<alt (* 1/2 (sqrt 2))> |
#<alt (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))> |
#<alt (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))> |
#<alt (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))> |
#<alt (* 1/2 (sqrt 2))> |
#<alt (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))> |
#<alt (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))> |
#<alt (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))> |
159 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | y | @ | -inf | (* x (* (sqrt 2) (- 1/2 (/ y x)))) |
| 13.0ms | x | @ | 0 | (* (* (* x (- 1/2 (/ y x))) (sqrt (* z 2))) 1) |
| 3.0ms | y | @ | inf | (* x (- 1/2 (/ y x))) |
| 2.0ms | x | @ | 0 | (/ 1 (- (* x 1/2) y)) |
| 1.0ms | z | @ | 0 | (/ (/ 1 (- (* x 1/2) y)) (sqrt (* 2 (* z (exp (* t t)))))) |
| 1× | batch-egg-rewrite |
| 7 552× | lower-fma.f32 |
| 7 550× | lower-fma.f64 |
| 7 150× | lower-*.f32 |
| 7 112× | lower-*.f64 |
| 2 668× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 220 |
| 0 | 74 | 216 |
| 1 | 224 | 210 |
| 2 | 1168 | 209 |
| 0 | 8782 | 206 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(neg.f64 y) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(sqrt.f64 z) |
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(*.f64 z (exp.f64 (*.f64 t t))) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
| Outputs |
|---|
(+.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(+.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) #s(literal -1 binary64)) (*.f64 x #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) #s(literal -1 binary64))) (*.f64 y (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal -1/2 binary64) y))))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) #s(literal 1/2 binary64)) (*.f64 (log.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal -1/2 binary64) y))) |
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal -1/2 binary64) y))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(fma.f64 y (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))) |
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(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
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(*.f64 (*.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (+.f64 #s(literal 1/2 binary64) (/.f64 y x)) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 y y) (*.f64 x x))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 8 926× | lower-fma.f64 |
| 8 926× | lower-fma.f32 |
| 8 522× | lower-*.f64 |
| 8 522× | lower-*.f32 |
| 2 296× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 650 | 10476 |
| 1 | 2090 | 9419 |
| 2 | 7075 | 9258 |
| 0 | 8297 | 9013 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) |
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/2 (* (/ x (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) |
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/4 (* (/ x (* (pow y 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))) |
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* x (+ (* -1/4 (* (/ 1 (* (pow y 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/8 (* (/ x (* (pow y 4) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))))) |
(* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) |
(/ (+ (* 2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) x) |
(/ (+ (* 2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (+ (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 8 (* (/ (pow y 2) (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))) x) |
(/ (+ (* 2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (+ (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (+ (* 8 (* (/ (pow y 2) (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 16 (* (/ (pow y 3) (* (pow x 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))) x) |
(* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) |
(* -1 (/ (+ (* -4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))))) x)) |
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (* -1 (/ (+ (* 4 (* (/ y (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 8 (* (/ (pow y 2) (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) x))) x)) |
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -16 (* (/ (pow y 3) (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -8 (* (/ (pow y 2) (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2)))))))) x)) (* 4 (* (/ y (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2)))))))) x))) x)) |
(* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) |
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 4 (* (/ y (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) |
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 8 (* (/ y (* (pow x 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))) |
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* y (+ (* 8 (* (/ 1 (* (pow x 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 16 (* (/ y (* (pow x 4) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))))) |
(* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) |
(/ (+ (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) y) |
(/ (+ (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (+ (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/4 (* (/ (pow x 2) (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))))) y) |
(/ (+ (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) (+ (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (+ (* -1/4 (* (/ (pow x 2) (* (pow y 2) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/8 (* (/ (pow x 3) (* (pow y 3) (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))))) y) |
(* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) |
(* -1 (/ (+ (* 1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ x (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* -1/4 (* (/ (pow x 2) (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2)))))))) y)) (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (/ (pow x 3) (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 2))))))) (* 1/4 (* (/ (pow x 2) (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2)))))))) y)) (* -1/2 (* (/ x (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 2)))))))) y)) (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) y)) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* -1/2 (* (/ (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt (/ 1 z)))) (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))) |
(+ (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))) (* 1/8 (* (/ (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))) (* (pow t 2) (+ (* -1/48 (* (/ (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt (/ 1 z)))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))))))))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(/ -1 y) |
(- (* -1/2 (/ x (pow y 2))) (/ 1 y)) |
(- (* x (- (* -1/4 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(- (* x (- (* x (- (* -1/8 (/ x (pow y 4))) (* 1/4 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(/ 2 x) |
(/ (+ 2 (* 4 (/ y x))) x) |
(/ (- (+ 2 (* 8 (/ (pow y 2) (pow x 2)))) (* -4 (/ y x))) x) |
(/ (- (+ 2 (* 16 (/ (pow y 3) (pow x 3)))) (+ (* -8 (/ (pow y 2) (pow x 2))) (* -4 (/ y x)))) x) |
(/ 2 x) |
(* -1 (/ (- (* -4 (/ y x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow y 2) x)) (* -4 y)) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow y 3) x)) (* 8 (pow y 2))) x)) (* -4 y)) x)) 2) x)) |
(/ 2 x) |
(+ (* 4 (/ y (pow x 2))) (* 2 (/ 1 x))) |
(+ (* y (+ (* 8 (/ y (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(+ (* y (+ (* y (+ (* 16 (/ y (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(/ -1 y) |
(/ (- (* -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)) |
(* -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 (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(* -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)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 y) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(* 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 (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)))) |
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(+ (* -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))))) |
(* 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))))) |
(* 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)))))))) |
(* x (* (sqrt 2) (- 1/2 (/ y x)))) |
(+ (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (- 1/2 (/ y x)))))) (* x (* (sqrt 2) (- 1/2 (/ y x))))) |
(+ (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (- 1/2 (/ y x)))))) (* x (* (sqrt 2) (- 1/2 (/ y x))))) |
(+ (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (- 1/2 (/ y x)))))) (* x (* (sqrt 2) (- 1/2 (/ y x))))) |
(* 1/2 (* (pow t 2) (* x (* (sqrt 2) (- 1/2 (/ y x)))))) |
(* (pow t 2) (+ (* 1/2 (* x (* (sqrt 2) (- 1/2 (/ y x))))) (/ (* x (* (sqrt 2) (- 1/2 (/ y x)))) (pow t 2)))) |
(* (pow t 2) (+ (* 1/2 (* x (* (sqrt 2) (- 1/2 (/ y x))))) (/ (* x (* (sqrt 2) (- 1/2 (/ y x)))) (pow t 2)))) |
(* (pow t 2) (+ (* 1/2 (* x (* (sqrt 2) (- 1/2 (/ y x))))) (/ (* x (* (sqrt 2) (- 1/2 (/ y x)))) (pow t 2)))) |
(* 1/2 (* (pow t 2) (* x (* (sqrt 2) (- 1/2 (/ y x)))))) |
(* (pow t 2) (+ (* 1/2 (* x (* (sqrt 2) (- 1/2 (/ y x))))) (/ (* x (* (sqrt 2) (- 1/2 (/ y x)))) (pow t 2)))) |
(* (pow t 2) (+ (* 1/2 (* x (* (sqrt 2) (- 1/2 (/ y x))))) (/ (* x (* (sqrt 2) (- 1/2 (/ y x)))) (pow t 2)))) |
(* (pow t 2) (+ (* 1/2 (* x (* (sqrt 2) (- 1/2 (/ y x))))) (/ (* x (* (sqrt 2) (- 1/2 (/ y x)))) (pow t 2)))) |
(* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)))) |
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* y (+ (* -1 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y)))) |
(* y (+ (* -1 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y)))) |
(* y (+ (* -1 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y)))) |
(* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y)) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y)) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y)) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
z |
(+ z (* (pow t 2) z)) |
(+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z))))) |
(+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z)))))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* z (exp (pow t 2))) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* -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))))) |
(* 1/2 (sqrt 2)) |
(+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))) |
(+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))) |
(+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))) |
(* -1 (/ (* y (sqrt 2)) x)) |
(* y (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y)))) |
(* y (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y)))) |
(* y (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y)))) |
(* -1 (/ (* y (sqrt 2)) x)) |
(* -1 (* y (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x)))) |
(* -1 (* y (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x)))) |
(* -1 (* y (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x)))) |
(* -1 (/ (* y (sqrt 2)) x)) |
(/ (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) x) |
(/ (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) x) |
(/ (+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) x) |
(* 1/2 (sqrt 2)) |
(+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))) |
(+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))) |
(+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))) |
(* 1/2 (sqrt 2)) |
(+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))) |
(+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))) |
(+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))) |
| Outputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (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 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(neg.f64 (*.f64 x (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(neg.f64 (*.f64 x (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(neg.f64 (*.f64 x (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(neg.f64 (*.f64 x (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(neg.f64 (*.f64 x (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(neg.f64 (*.f64 x (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (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 z (exp.f64 (*.f64 t t)))) (fma.f64 x (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 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 z (exp.f64 (*.f64 t t)))) (fma.f64 x (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 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 z (exp.f64 (*.f64 t t)))) (fma.f64 x (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (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 z (exp.f64 (*.f64 t t)))) (fma.f64 x (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 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 z (exp.f64 (*.f64 t t)))) (fma.f64 x (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 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 z (exp.f64 (*.f64 t t)))) (fma.f64 x (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z)) |
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(-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)) |
(+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))) |
(-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)) |
(* 1/2 (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))) |
(-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)) |
(+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))) |
(-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)) |
(+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2))) |
(-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)) |
Compiled 59 585 to 4 960 computations (91.7% saved)
46 alts after pruning (46 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 319 | 26 | 2 345 |
| Fresh | 14 | 20 | 34 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 338 | 46 | 2 384 |
| Status | Accuracy | Program |
|---|---|---|
| 95.2% | (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))) | |
| 19.4% | (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) | |
| 56.4% | (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 86.0% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))) | |
| 55.9% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) | |
| 85.8% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 32.4% | (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))) | |
| 41.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 z))) | |
| 55.9% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) | |
| ▶ | 86.2% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
| ▶ | 95.3% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
| ▶ | 91.9% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
| 56.4% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 32.5% | (*.f64 (*.f64 (/.f64 (*.f64 y (neg.f64 y)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 95.3% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 92.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 56.0% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| 55.9% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) | |
| 40.3% | (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 t (sqrt.f64 z))) | |
| 16.8% | (*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 51.9% | (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (*.f64 x (sqrt.f64 z))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) | |
| ▶ | 57.3% | (*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 54.9% | (*.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) y #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 26.9% | (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 43.9% | (*.f64 (*.f64 (*.f64 t t) (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 52.3% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 z)) | |
| 55.0% | (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) | |
| 41.8% | (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) | |
| 33.4% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 t t))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 z))) | |
| 26.5% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) | |
| 32.4% | (*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 32.5% | (*.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) | |
| 32.4% | (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) | |
| 51.3% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))) | |
| 63.3% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) | |
| ▶ | 32.9% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
| 57.3% | (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) | |
| 43.9% | (*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))) | |
| 33.4% | (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)))) | |
| 31.9% | (*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) | |
| 33.6% | (*.f64 (sqrt.f64 z) (*.f64 y (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 t t))) (/.f64 #s(literal 1/4 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))) | |
| 42.5% | (*.f64 (sqrt.f64 z) (*.f64 t (*.f64 (*.f64 t (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 #s(literal 2 binary64))))) | |
| 41.8% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))) | |
| 66.9% | (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) | |
| 54.5% | (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z)))) | |
| 41.9% | (*.f64 t (*.f64 t (*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
Compiled 1 870 to 1 330 computations (28.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | cost-diff | 320 | (*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 896 | (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) z) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
| 11 370× | lower-fma.f32 |
| 11 356× | lower-fma.f64 |
| 3 976× | lower-*.f32 |
| 3 944× | lower-*.f64 |
| 2 708× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 372 |
| 0 | 78 | 367 |
| 1 | 171 | 367 |
| 2 | 462 | 367 |
| 3 | 1323 | 365 |
| 4 | 2664 | 361 |
| 5 | 4260 | 361 |
| 6 | 5976 | 361 |
| 7 | 7381 | 361 |
| 0 | 8101 | 341 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 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 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(literal 2 binary64) |
(*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
z |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(neg.f64 y) |
y |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))) |
(*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)) |
#s(literal 2 binary64) |
(fma.f64 z (*.f64 t t) z) |
z |
(*.f64 t t) |
t |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) |
y |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 x y) |
x |
#s(literal -1 binary64) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 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 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(literal 2 binary64) |
(*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
z |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 z (fma.f64 (*.f64 t t) (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) t)) z))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 z (fma.f64 (*.f64 t t) (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) t)) z))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 z (fma.f64 (*.f64 t t) (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) t)) z)) |
#s(literal 2 binary64) |
(*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 t (*.f64 z (fma.f64 (*.f64 t t) (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) t)) z) |
z |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 t (fma.f64 (*.f64 t t) (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) t) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) |
#s(literal 1/6 binary64) |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(neg.f64 y) |
y |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))) |
(*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)) |
#s(literal 2 binary64) |
(fma.f64 z (*.f64 t t) z) |
z |
(*.f64 t t) |
t |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
y |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 x y) |
x |
#s(literal -1 binary64) |
(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(literal 1 binary64) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t t)) t)) z))) (fma.f64 x #s(literal -1/2 binary64) y))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t t)) t)) z))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t t)) t)) z)) |
#s(literal 2 binary64) |
(*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 t (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t t)) t)) z) |
z |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 t (fma.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t t)) t) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 97.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
| ✓ | accuracy | 97.4% | (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 90.5% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal 2 binary64)) |
| ✓ | accuracy | 99.6% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 87.9% | (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)) |
| ✓ | accuracy | 98.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
| ✓ | accuracy | 92.7% | (fma.f64 z (*.f64 t t) z) |
| ✓ | accuracy | 81.1% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) z) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 99.6% | (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 98.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
| ✓ | accuracy | 97.0% | (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 93.8% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
| 91.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 411 to 49 computations (88.1% saved)
ival-mult: 33.0ms (57.5% of total)ival-sqrt: 8.0ms (13.9% of total)ival-add: 8.0ms (13.9% of total)const: 4.0ms (7% of total)ival-div: 2.0ms (3.5% of total)ival-sub: 1.0ms (1.7% of total)ival-neg: 1.0ms (1.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))))> |
#<alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)> |
#<alt (*.f64 x #s(literal 1/2 binary64))> |
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))> |
#<alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))> |
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) z))> |
#<alt (*.f64 #s(literal 2 binary64) z)> |
#<alt (neg.f64 y)> |
#<alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))> |
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))> |
#<alt (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))> |
#<alt (*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))> |
#<alt (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))> |
#<alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))))> |
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))> |
#<alt (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))> |
#<alt (fma.f64 z (*.f64 t t) z)> |
#<alt (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))> |
#<alt (sqrt.f64 (*.f64 z #s(literal 2 binary64)))> |
#<alt (*.f64 z #s(literal 2 binary64))> |
#<alt (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))> |
| Outputs |
|---|
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)))))> |
#<alt (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))> |
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#<alt (* (pow t 2) (+ (* 1/2 (* (/ (sqrt 2) (* (pow t 2) (sqrt 1/2))) (sqrt z))) (* (sqrt z) (* (sqrt 1/2) (sqrt 2)))))> |
#<alt (* (pow t 2) (+ (* 1/2 (* (/ (sqrt 2) (* (pow t 2) (sqrt 1/2))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- z (* 1/4 (/ z (pow (sqrt 1/2) 2))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ 1 z)))) (* (sqrt z) (* (sqrt 1/2) (sqrt 2))))))> |
#<alt (* (pow t 2) (+ (* -1/4 (* (/ (* (sqrt 2) (- z (* 1/4 (/ z (pow (sqrt 1/2) 2))))) (* (pow t 6) (pow (sqrt 1/2) 3))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (sqrt 2) (* (pow t 2) (sqrt 1/2))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- z (* 1/4 (/ z (pow (sqrt 1/2) 2))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ 1 z)))) (* (sqrt z) (* (sqrt 1/2) (sqrt 2)))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))> |
#<alt z> |
#<alt (+ z (* (pow t 2) z))> |
#<alt (+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z)))))> |
#<alt (+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z))))))> |
#<alt (* 1/6 (* (pow t 6) z))> |
#<alt (* (pow t 6) (+ (* 1/6 z) (* 1/2 (/ z (pow t 2)))))> |
#<alt (* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (/ z (pow t 4)))))> |
#<alt (* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (+ (/ z (pow t 4)) (/ z (pow t 6))))))> |
#<alt (* 1/6 (* (pow t 6) z))> |
#<alt (* (pow t 6) (+ (* 1/6 z) (* 1/2 (/ z (pow t 2)))))> |
#<alt (* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (/ z (pow t 4)))))> |
#<alt (* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (+ (/ z (pow t 4)) (/ z (pow t 6))))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 (pow t 2)))> |
#<alt (+ 1/2 (* 1/6 (pow t 2)))> |
#<alt (+ 1/2 (* 1/6 (pow t 2)))> |
#<alt (* 1/6 (pow t 2))> |
#<alt (* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* 1/6 (pow t 2))> |
#<alt (* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2)))))> |
#<alt (* z (+ 1 (pow t 2)))> |
#<alt (* z (+ 1 (pow t 2)))> |
#<alt (* z (+ 1 (pow t 2)))> |
#<alt (* z (+ 1 (pow t 2)))> |
#<alt (* z (+ 1 (pow t 2)))> |
#<alt (* z (+ 1 (pow t 2)))> |
#<alt (* z (+ 1 (pow t 2)))> |
#<alt (* z (+ 1 (pow t 2)))> |
#<alt (* -1 (* z (- (* -1 (pow t 2)) 1)))> |
#<alt (* -1 (* z (- (* -1 (pow t 2)) 1)))> |
#<alt (* -1 (* z (- (* -1 (pow t 2)) 1)))> |
#<alt (* -1 (* z (- (* -1 (pow t 2)) 1)))> |
#<alt z> |
#<alt (+ z (* (pow t 2) z))> |
#<alt (+ z (* (pow t 2) z))> |
#<alt (+ z (* (pow t 2) z))> |
#<alt (* (pow t 2) z)> |
#<alt (* (pow t 2) (+ z (/ z (pow t 2))))> |
#<alt (* (pow t 2) (+ z (/ z (pow t 2))))> |
#<alt (* (pow t 2) (+ z (/ z (pow t 2))))> |
#<alt (* (pow t 2) z)> |
#<alt (* (pow t 2) (+ z (/ z (pow t 2))))> |
#<alt (* (pow t 2) (+ z (/ z (pow t 2))))> |
#<alt (* (pow t 2) (+ z (/ z (pow t 2))))> |
#<alt (* 2 (* z (+ 1 (pow t 2))))> |
#<alt (* 2 (* z (+ 1 (pow t 2))))> |
#<alt (* 2 (* z (+ 1 (pow t 2))))> |
#<alt (* 2 (* z (+ 1 (pow t 2))))> |
#<alt (* 2 (* z (+ 1 (pow t 2))))> |
#<alt (* 2 (* z (+ 1 (pow t 2))))> |
#<alt (* 2 (* z (+ 1 (pow t 2))))> |
#<alt (* 2 (* z (+ 1 (pow t 2))))> |
#<alt (* -2 (* z (- (* -1 (pow t 2)) 1)))> |
#<alt (* -2 (* z (- (* -1 (pow t 2)) 1)))> |
#<alt (* -2 (* z (- (* -1 (pow t 2)) 1)))> |
#<alt (* -2 (* z (- (* -1 (pow t 2)) 1)))> |
#<alt (* 2 z)> |
#<alt (+ (* 2 z) (* 2 (* (pow t 2) z)))> |
#<alt (+ (* 2 z) (* 2 (* (pow t 2) z)))> |
#<alt (+ (* 2 z) (* 2 (* (pow t 2) z)))> |
#<alt (* 2 (* (pow t 2) z))> |
#<alt (* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))> |
#<alt (* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))> |
#<alt (* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))> |
#<alt (* 2 (* (pow t 2) z))> |
#<alt (* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))> |
#<alt (* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))> |
#<alt (* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2)))))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* (sqrt z) (sqrt 2))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1))))> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))> |
#<alt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))> |
#<alt z> |
#<alt (+ z (* (pow t 2) z))> |
#<alt (+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z)))))> |
#<alt (+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z)))))> |
#<alt (* 1/2 (* (pow t 4) z))> |
#<alt (* (pow t 4) (+ (* 1/2 z) (/ z (pow t 2))))> |
#<alt (* (pow t 4) (+ (* 1/2 z) (+ (/ z (pow t 2)) (/ z (pow t 4)))))> |
#<alt (* (pow t 4) (+ (* 1/2 z) (+ (/ z (pow t 2)) (/ z (pow t 4)))))> |
#<alt (* 1/2 (* (pow t 4) z))> |
#<alt (* (pow t 4) (+ (* 1/2 z) (/ z (pow t 2))))> |
#<alt (* (pow t 4) (+ (* 1/2 z) (+ (/ z (pow t 2)) (/ z (pow t 4)))))> |
#<alt (* (pow t 4) (+ (* 1/2 z) (+ (/ z (pow t 2)) (/ z (pow t 4)))))> |
#<alt 1> |
#<alt (+ 1 (pow t 2))> |
#<alt (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))> |
#<alt (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))> |
#<alt (* 1/2 (pow t 4))> |
#<alt (* (pow t 4) (+ 1/2 (/ 1 (pow t 2))))> |
#<alt (* (pow t 4) (+ 1/2 (+ (/ 1 (pow t 2)) (/ 1 (pow t 4)))))> |
#<alt (* (pow t 4) (+ 1/2 (+ (/ 1 (pow t 2)) (/ 1 (pow t 4)))))> |
#<alt (* 1/2 (pow t 4))> |
#<alt (* (pow t 4) (+ 1/2 (/ 1 (pow t 2))))> |
#<alt (* (pow t 4) (+ 1/2 (+ (/ 1 (pow t 2)) (/ 1 (pow t 4)))))> |
#<alt (* (pow t 4) (+ 1/2 (+ (/ 1 (pow t 2)) (/ 1 (pow t 4)))))> |
144 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | t | @ | 0 | (* (- (* x 1/2) y) (sqrt (* 2 (* z (+ (* (* t t) (+ (* (* t t) 1/2) 1)) 1))))) |
| 6.0ms | z | @ | 0 | (* (- (* x 1/2) y) (sqrt (* 2 (* z (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1))))) |
| 2.0ms | t | @ | inf | (* (- (* x 1/2) y) (sqrt (* 2 (* z (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1))))) |
| 1.0ms | t | @ | inf | (* (- (* x 1/2) y) (sqrt (* 2 (* z (+ (* (* t t) (+ (* (* t t) 1/2) 1)) 1))))) |
| 1.0ms | z | @ | 0 | (* (* (* y (+ (* 1/2 (/ x y)) -1)) (sqrt (* z 2))) 1) |
| 1× | batch-egg-rewrite |
| 6 230× | lower-fma.f32 |
| 6 216× | lower-fma.f64 |
| 4 360× | lower-*.f32 |
| 4 328× | lower-*.f64 |
| 3 810× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 245 |
| 0 | 78 | 243 |
| 1 | 286 | 243 |
| 2 | 2035 | 243 |
| 0 | 8234 | 229 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
(neg.f64 y) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))) |
(*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 z (*.f64 t t) z) |
(*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z))) (neg.f64 y))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z))))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z))))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z))) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z))) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z)))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
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(*.f64 (neg.f64 (fma.f64 (*.f64 t t) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) |
| 1× | egg-herbie |
| 9 716× | lower-fma.f64 |
| 9 716× | lower-fma.f32 |
| 8 602× | lower-*.f64 |
| 8 602× | lower-*.f32 |
| 2 700× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 520 | 11496 |
| 1 | 1864 | 10188 |
| 2 | 5903 | 9586 |
| 0 | 8305 | 8939 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) |
(* y (+ (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))) |
(* y (+ (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))) |
(* y (+ (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))))) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(* (* (pow t 3) (* (sqrt 1/6) (* (sqrt 2) (- (* 1/2 x) y)))) (sqrt z)) |
(* (pow t 3) (+ (* 1/4 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (* (sqrt z) (* (sqrt 1/6) (* (sqrt 2) (- (* 1/2 x) y)))))) |
(* (pow t 3) (+ (* 1/4 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (* (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (- (* 1/2 x) y))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (* (sqrt 1/6) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(* (pow t 3) (+ (* 1/4 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (* (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (- (* 1/2 x) y))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (sqrt 2) (* (- z (* 1/4 (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (pow (sqrt 1/6) 2)))) (- (* 1/2 x) y))) (* (pow t 6) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (* (sqrt 1/6) (* (sqrt 2) (- (* 1/2 x) y)))))))) |
(* -1 (* (* (pow t 3) (* (sqrt 1/6) (* (sqrt 2) (- (* 1/2 x) y)))) (sqrt z))) |
(* -1 (* (pow t 3) (+ (* 1/4 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (* (sqrt z) (* (sqrt 1/6) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(* -1 (* (pow t 3) (+ (* 1/4 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (* (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (- (* 1/2 x) y))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (* (sqrt 1/6) (* (sqrt 2) (- (* 1/2 x) y)))))))) |
(* -1 (* (pow t 3) (+ (* 1/4 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (* (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (- (* 1/2 x) y))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (sqrt 2) (* (- z (* 1/4 (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (pow (sqrt 1/6) 2)))) (- (* 1/2 x) y))) (* (pow t 6) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (* (sqrt 1/6) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* -1 y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* 1/2 x) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(* -1 y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2)) |
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt -2) (sqrt -1)))) |
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(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt -2) (sqrt -1)))) |
(* (sqrt z) (sqrt 2)) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z))))))))) |
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(* (pow t 3) (+ (* 1/4 (* (/ (sqrt 2) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (* (sqrt z) (* (sqrt 1/6) (sqrt 2))))) |
(* (pow t 3) (+ (* 1/4 (* (/ (sqrt 2) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- z (* 1/16 (/ z (pow (sqrt 1/6) 2))))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (* (sqrt 1/6) (sqrt 2)))))) |
(* (pow t 3) (+ (* 1/4 (* (/ (sqrt 2) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- z (* 1/16 (/ z (pow (sqrt 1/6) 2))))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- z (* 1/4 (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (pow (sqrt 1/6) 2))))) (* (pow t 6) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (* (sqrt 1/6) (sqrt 2))))))) |
(* -1 (* (* (pow t 3) (* (sqrt 1/6) (sqrt 2))) (sqrt z))) |
(* -1 (* (pow t 3) (+ (* 1/4 (* (/ (sqrt 2) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (* (sqrt z) (* (sqrt 1/6) (sqrt 2)))))) |
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(* -1 (* (pow t 3) (+ (* 1/4 (* (/ (sqrt 2) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- z (* 1/16 (/ z (pow (sqrt 1/6) 2))))) (* (pow t 4) (sqrt 1/6))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- z (* 1/4 (/ (- z (* 1/16 (/ z (pow (sqrt 1/6) 2)))) (pow (sqrt 1/6) 2))))) (* (pow t 6) (sqrt 1/6))) (sqrt (/ 1 z)))) (* (sqrt z) (* (sqrt 1/6) (sqrt 2)))))))) |
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(* -1 (* (* y (sqrt 2)) (sqrt (+ z (* (pow t 2) z))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (+ z (* (pow t 2) z))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (+ z (* (pow t 2) z)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (+ z (* (pow t 2) z))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (+ z (* (pow t 2) z)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (+ z (* (pow t 2) z))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (+ z (* (pow t 2) z)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (+ z (* (pow t 2) z))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (+ z (* (pow t 2) z))))) (* 1/2 (* (sqrt 2) (sqrt (+ z (* (pow t 2) z))))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (+ z (* (pow t 2) z))))) (* 1/2 (* (sqrt 2) (sqrt (+ z (* (pow t 2) z))))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (+ z (* (pow t 2) z))))) (* 1/2 (* (sqrt 2) (sqrt (+ z (* (pow t 2) z))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (+ z (* (pow t 2) z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (sqrt (+ z (* (pow t 2) z))))) (* (/ (* y (sqrt 2)) x) (sqrt (+ z (* (pow t 2) z))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (sqrt (+ z (* (pow t 2) z))))) (* (/ (* y (sqrt 2)) x) (sqrt (+ z (* (pow t 2) z))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (sqrt (+ z (* (pow t 2) z))))) (* (/ (* y (sqrt 2)) x) (sqrt (+ z (* (pow t 2) z))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (+ z (* (pow t 2) z))))) |
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(+ (* -1 (* (* y (sqrt 2)) (sqrt (+ z (* (pow t 2) z))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (+ z (* (pow t 2) z)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (+ z (* (pow t 2) z))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (+ z (* (pow t 2) z)))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (+ z (* (pow t 2) z))))) |
(* y (+ (* -1 (* (sqrt 2) (sqrt (+ z (* (pow t 2) z))))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (+ z (* (pow t 2) z))))))) |
(* y (+ (* -1 (* (sqrt 2) (sqrt (+ z (* (pow t 2) z))))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (+ z (* (pow t 2) z))))))) |
(* y (+ (* -1 (* (sqrt 2) (sqrt (+ z (* (pow t 2) z))))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (+ z (* (pow t 2) z))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (+ z (* (pow t 2) z))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (+ z (* (pow t 2) z))))) (* (sqrt 2) (sqrt (+ z (* (pow t 2) z))))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (+ z (* (pow t 2) z))))) (* (sqrt 2) (sqrt (+ z (* (pow t 2) z))))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (+ z (* (pow t 2) z))))) (* (sqrt 2) (sqrt (+ z (* (pow t 2) z))))))) |
(* (sqrt (* z (+ 1 (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (+ 1 (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
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(- (* 1/2 (/ x y)) 1) |
(- (* 1/2 (/ x y)) 1) |
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(+ (* (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) (+ (* -1/4 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))) (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))))))))) |
(* (* (pow t 2) (* (sqrt 1/2) (* (sqrt 2) (- (* 1/2 x) y)))) (sqrt z)) |
(* (pow t 2) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (sqrt 1/2))) (sqrt z))) (* (sqrt z) (* (sqrt 1/2) (* (sqrt 2) (- (* 1/2 x) y)))))) |
(* (pow t 2) (+ (* 1/2 (* (/ (* (sqrt 2) (* (- z (* 1/4 (/ z (pow (sqrt 1/2) 2)))) (- (* 1/2 x) y))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (sqrt 1/2))) (sqrt z))) (* (sqrt z) (* (sqrt 1/2) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(* (pow t 2) (+ (* -1/4 (* (/ (* (sqrt 2) (* (- z (* 1/4 (/ z (pow (sqrt 1/2) 2)))) (- (* 1/2 x) y))) (* (pow t 6) (pow (sqrt 1/2) 3))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (sqrt 2) (* (- z (* 1/4 (/ z (pow (sqrt 1/2) 2)))) (- (* 1/2 x) y))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (sqrt 1/2))) (sqrt z))) (* (sqrt z) (* (sqrt 1/2) (* (sqrt 2) (- (* 1/2 x) y)))))))) |
(* (* (pow t 2) (* (sqrt 1/2) (* (sqrt 2) (- (* 1/2 x) y)))) (sqrt z)) |
(* (pow t 2) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (sqrt 1/2))) (sqrt z))) (* (sqrt z) (* (sqrt 1/2) (* (sqrt 2) (- (* 1/2 x) y)))))) |
(* (pow t 2) (+ (* 1/2 (* (/ (* (sqrt 2) (* (- z (* 1/4 (/ z (pow (sqrt 1/2) 2)))) (- (* 1/2 x) y))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (sqrt 1/2))) (sqrt z))) (* (sqrt z) (* (sqrt 1/2) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(* (pow t 2) (+ (* -1/4 (* (/ (* (sqrt 2) (* (- z (* 1/4 (/ z (pow (sqrt 1/2) 2)))) (- (* 1/2 x) y))) (* (pow t 6) (pow (sqrt 1/2) 3))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (sqrt 2) (* (- z (* 1/4 (/ z (pow (sqrt 1/2) 2)))) (- (* 1/2 x) y))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (* (pow t 2) (sqrt 1/2))) (sqrt z))) (* (sqrt z) (* (sqrt 1/2) (* (sqrt 2) (- (* 1/2 x) y)))))))) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))) (sqrt 2)) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))) (sqrt 2)) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))) (sqrt 2)) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))) (sqrt 2)) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))) (sqrt 2)) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))) (sqrt 2)) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))) (sqrt 2)) |
(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))) (sqrt 2)) |
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))))) (* (sqrt -2) (sqrt -1)))) |
(* (sqrt z) (sqrt 2)) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* -1/4 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z)))) (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))))))))) |
(* (* (pow t 2) (* (sqrt 1/2) (sqrt 2))) (sqrt z)) |
(* (pow t 2) (+ (* 1/2 (* (/ (sqrt 2) (* (pow t 2) (sqrt 1/2))) (sqrt z))) (* (sqrt z) (* (sqrt 1/2) (sqrt 2))))) |
(* (pow t 2) (+ (* 1/2 (* (/ (sqrt 2) (* (pow t 2) (sqrt 1/2))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- z (* 1/4 (/ z (pow (sqrt 1/2) 2))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ 1 z)))) (* (sqrt z) (* (sqrt 1/2) (sqrt 2)))))) |
(* (pow t 2) (+ (* -1/4 (* (/ (* (sqrt 2) (- z (* 1/4 (/ z (pow (sqrt 1/2) 2))))) (* (pow t 6) (pow (sqrt 1/2) 3))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (sqrt 2) (* (pow t 2) (sqrt 1/2))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- z (* 1/4 (/ z (pow (sqrt 1/2) 2))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ 1 z)))) (* (sqrt z) (* (sqrt 1/2) (sqrt 2))))))) |
(* (* (pow t 2) (* (sqrt 1/2) (sqrt 2))) (sqrt z)) |
(* (pow t 2) (+ (* 1/2 (* (/ (sqrt 2) (* (pow t 2) (sqrt 1/2))) (sqrt z))) (* (sqrt z) (* (sqrt 1/2) (sqrt 2))))) |
(* (pow t 2) (+ (* 1/2 (* (/ (sqrt 2) (* (pow t 2) (sqrt 1/2))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- z (* 1/4 (/ z (pow (sqrt 1/2) 2))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ 1 z)))) (* (sqrt z) (* (sqrt 1/2) (sqrt 2)))))) |
(* (pow t 2) (+ (* -1/4 (* (/ (* (sqrt 2) (- z (* 1/4 (/ z (pow (sqrt 1/2) 2))))) (* (pow t 6) (pow (sqrt 1/2) 3))) (sqrt (/ 1 z)))) (+ (* 1/2 (* (/ (sqrt 2) (* (pow t 2) (sqrt 1/2))) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- z (* 1/4 (/ z (pow (sqrt 1/2) 2))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ 1 z)))) (* (sqrt z) (* (sqrt 1/2) (sqrt 2))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
z |
(+ z (* (pow t 2) z)) |
(+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z))))) |
(+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z)))))) |
(* 1/6 (* (pow t 6) z)) |
(* (pow t 6) (+ (* 1/6 z) (* 1/2 (/ z (pow t 2))))) |
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (/ z (pow t 4))))) |
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (+ (/ z (pow t 4)) (/ z (pow t 6)))))) |
(* 1/6 (* (pow t 6) z)) |
(* (pow t 6) (+ (* 1/6 z) (* 1/2 (/ z (pow t 2))))) |
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (/ z (pow t 4))))) |
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (+ (/ z (pow t 4)) (/ z (pow t 6)))))) |
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))))) |
(* z (+ 1 (pow t 2))) |
(* z (+ 1 (pow t 2))) |
(* z (+ 1 (pow t 2))) |
(* z (+ 1 (pow t 2))) |
(* z (+ 1 (pow t 2))) |
(* z (+ 1 (pow t 2))) |
(* z (+ 1 (pow t 2))) |
(* z (+ 1 (pow t 2))) |
(* -1 (* z (- (* -1 (pow t 2)) 1))) |
(* -1 (* z (- (* -1 (pow t 2)) 1))) |
(* -1 (* z (- (* -1 (pow t 2)) 1))) |
(* -1 (* z (- (* -1 (pow t 2)) 1))) |
z |
(+ z (* (pow t 2) z)) |
(+ z (* (pow t 2) z)) |
(+ z (* (pow t 2) z)) |
(* (pow t 2) z) |
(* (pow t 2) (+ z (/ z (pow t 2)))) |
(* (pow t 2) (+ z (/ z (pow t 2)))) |
(* (pow t 2) (+ z (/ z (pow t 2)))) |
(* (pow t 2) z) |
(* (pow t 2) (+ z (/ z (pow t 2)))) |
(* (pow t 2) (+ z (/ z (pow t 2)))) |
(* (pow t 2) (+ z (/ z (pow t 2)))) |
(* 2 (* z (+ 1 (pow t 2)))) |
(* 2 (* z (+ 1 (pow t 2)))) |
(* 2 (* z (+ 1 (pow t 2)))) |
(* 2 (* z (+ 1 (pow t 2)))) |
(* 2 (* z (+ 1 (pow t 2)))) |
(* 2 (* z (+ 1 (pow t 2)))) |
(* 2 (* z (+ 1 (pow t 2)))) |
(* 2 (* z (+ 1 (pow t 2)))) |
(* -2 (* z (- (* -1 (pow t 2)) 1))) |
(* -2 (* z (- (* -1 (pow t 2)) 1))) |
(* -2 (* z (- (* -1 (pow t 2)) 1))) |
(* -2 (* z (- (* -1 (pow t 2)) 1))) |
(* 2 z) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(* 2 (* (pow t 2) z)) |
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2))))) |
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2))))) |
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2))))) |
(* 2 (* (pow t 2) z)) |
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2))))) |
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2))))) |
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (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)))) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
z |
(+ z (* (pow t 2) z)) |
(+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z))))) |
(+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z))))) |
(* 1/2 (* (pow t 4) z)) |
(* (pow t 4) (+ (* 1/2 z) (/ z (pow t 2)))) |
(* (pow t 4) (+ (* 1/2 z) (+ (/ z (pow t 2)) (/ z (pow t 4))))) |
(* (pow t 4) (+ (* 1/2 z) (+ (/ z (pow t 2)) (/ z (pow t 4))))) |
(* 1/2 (* (pow t 4) z)) |
(* (pow t 4) (+ (* 1/2 z) (/ z (pow t 2)))) |
(* (pow t 4) (+ (* 1/2 z) (+ (/ z (pow t 2)) (/ z (pow t 4))))) |
(* (pow t 4) (+ (* 1/2 z) (+ (/ z (pow t 2)) (/ z (pow t 4))))) |
1 |
(+ 1 (pow t 2)) |
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))) |
(* 1/2 (pow t 4)) |
(* (pow t 4) (+ 1/2 (/ 1 (pow t 2)))) |
(* (pow t 4) (+ 1/2 (+ (/ 1 (pow t 2)) (/ 1 (pow t 4))))) |
(* (pow t 4) (+ 1/2 (+ (/ 1 (pow t 2)) (/ 1 (pow t 4))))) |
(* 1/2 (pow t 4)) |
(* (pow t 4) (+ 1/2 (/ 1 (pow t 2)))) |
(* (pow t 4) (+ 1/2 (+ (/ 1 (pow t 2)) (/ 1 (pow t 4))))) |
(* (pow t 4) (+ 1/2 (+ (/ 1 (pow t 2)) (/ 1 (pow t 4))))) |
| Outputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 z (*.f64 t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 z (*.f64 t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 z (*.f64 t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 z (*.f64 t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (fma.f64 (*.f64 z (*.f64 t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 z (*.f64 t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 z (*.f64 t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z)) (neg.f64 (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 z (*.f64 t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 z (*.f64 t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z)) (neg.f64 (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 z (*.f64 t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 z (*.f64 t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z)) (neg.f64 (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (fma.f64 (*.f64 z (*.f64 t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 z (*.f64 t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 z (*.f64 t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z)) (neg.f64 (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 z (*.f64 t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 z (*.f64 t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z)) (neg.f64 (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (*.f64 z (*.f64 t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 z (*.f64 t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z)) (neg.f64 (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (fma.f64 (*.f64 z (*.f64 t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 z (*.f64 t t)) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
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(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
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(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
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(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
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(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
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(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
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(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
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(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
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(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
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(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
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(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
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(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
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(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
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z |
(+ z (* (pow t 2) z)) |
(fma.f64 z (*.f64 t t) z) |
(+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z))))) |
(fma.f64 (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 t t)) z) z) |
(+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z)))))) |
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(* 1/6 (* (pow t 6) z)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 z (pow.f64 t #s(literal 6 binary64)))) |
(* (pow t 6) (+ (* 1/6 z) (* 1/2 (/ z (pow t 2))))) |
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(* 1/6 (* (pow t 6) z)) |
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1/2 |
#s(literal 1/2 binary64) |
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(+ 1/2 (* 1/6 (pow t 2))) |
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(* 1/6 (pow t 2)) |
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(* 1/6 (pow t 2)) |
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(* z (+ 1 (pow t 2))) |
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(* z (+ 1 (pow t 2))) |
(fma.f64 z (*.f64 t t) z) |
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z |
(+ z (* (pow t 2) z)) |
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(fma.f64 z (*.f64 t t) z) |
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(* (pow t 2) z) |
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(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)) |
(* 2 (* (pow t 2) z)) |
(*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 t t))) |
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2))))) |
(*.f64 (*.f64 t t) (*.f64 #s(literal 2 binary64) (+.f64 z (/.f64 z (*.f64 t t))))) |
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2))))) |
(*.f64 (*.f64 t t) (*.f64 #s(literal 2 binary64) (+.f64 z (/.f64 z (*.f64 t t))))) |
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2))))) |
(*.f64 (*.f64 t t) (*.f64 #s(literal 2 binary64) (+.f64 z (/.f64 z (*.f64 t t))))) |
(* 2 (* (pow t 2) z)) |
(*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 t t))) |
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2))))) |
(*.f64 (*.f64 t t) (*.f64 #s(literal 2 binary64) (+.f64 z (/.f64 z (*.f64 t t))))) |
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2))))) |
(*.f64 (*.f64 t t) (*.f64 #s(literal 2 binary64) (+.f64 z (/.f64 z (*.f64 t t))))) |
(* (pow t 2) (+ (* 2 z) (* 2 (/ z (pow t 2))))) |
(*.f64 (*.f64 t t) (*.f64 #s(literal 2 binary64) (+.f64 z (/.f64 z (*.f64 t t))))) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 z))) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(fma.f64 (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 t t)) z) z) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(fma.f64 (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 t t)) z) z) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(fma.f64 (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 t t)) z) z) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(fma.f64 (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 t t)) z) z) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(fma.f64 (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 t t)) z) z) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(fma.f64 (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 t t)) z) z) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(fma.f64 (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 t t)) z) z) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(fma.f64 (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 t t)) z) z) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(fma.f64 (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 t t)) z) z) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(fma.f64 (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 t t)) z) z) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(fma.f64 (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 t t)) z) z) |
(* z (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))) |
(fma.f64 (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 t t)) z) z) |
z |
(+ z (* (pow t 2) z)) |
(fma.f64 z (*.f64 t t) z) |
(+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z))))) |
(fma.f64 (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 t t)) z) z) |
(+ z (* (pow t 2) (+ z (* 1/2 (* (pow t 2) z))))) |
(fma.f64 (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 t t)) z) z) |
(* 1/2 (* (pow t 4) z)) |
(*.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 t t)))) |
(* (pow t 4) (+ (* 1/2 z) (/ z (pow t 2)))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (fma.f64 z #s(literal 1/2 binary64) (/.f64 z (*.f64 t t)))) |
(* (pow t 4) (+ (* 1/2 z) (+ (/ z (pow t 2)) (/ z (pow t 4))))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 (/.f64 z (*.f64 t t)) (fma.f64 z #s(literal 1/2 binary64) (/.f64 z (*.f64 (*.f64 t t) (*.f64 t t)))))) |
(* (pow t 4) (+ (* 1/2 z) (+ (/ z (pow t 2)) (/ z (pow t 4))))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 (/.f64 z (*.f64 t t)) (fma.f64 z #s(literal 1/2 binary64) (/.f64 z (*.f64 (*.f64 t t) (*.f64 t t)))))) |
(* 1/2 (* (pow t 4) z)) |
(*.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 t t)))) |
(* (pow t 4) (+ (* 1/2 z) (/ z (pow t 2)))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (fma.f64 z #s(literal 1/2 binary64) (/.f64 z (*.f64 t t)))) |
(* (pow t 4) (+ (* 1/2 z) (+ (/ z (pow t 2)) (/ z (pow t 4))))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 (/.f64 z (*.f64 t t)) (fma.f64 z #s(literal 1/2 binary64) (/.f64 z (*.f64 (*.f64 t t) (*.f64 t t)))))) |
(* (pow t 4) (+ (* 1/2 z) (+ (/ z (pow t 2)) (/ z (pow t 4))))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 (/.f64 z (*.f64 t t)) (fma.f64 z #s(literal 1/2 binary64) (/.f64 z (*.f64 (*.f64 t t) (*.f64 t t)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow t 2)) |
(fma.f64 t t #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))) |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2))))) |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(* 1/2 (pow t 4)) |
(*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(* (pow t 4) (+ 1/2 (/ 1 (pow t 2)))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) |
(* (pow t 4) (+ 1/2 (+ (/ 1 (pow t 2)) (/ 1 (pow t 4))))) |
(fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))) #s(literal 1 binary64)) |
(* (pow t 4) (+ 1/2 (+ (/ 1 (pow t 2)) (/ 1 (pow t 4))))) |
(fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))) #s(literal 1 binary64)) |
(* 1/2 (pow t 4)) |
(*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(* (pow t 4) (+ 1/2 (/ 1 (pow t 2)))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) |
(* (pow t 4) (+ 1/2 (+ (/ 1 (pow t 2)) (/ 1 (pow t 4))))) |
(fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))) #s(literal 1 binary64)) |
(* (pow t 4) (+ 1/2 (+ (/ 1 (pow t 2)) (/ 1 (pow t 4))))) |
(fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))) #s(literal 1 binary64)) |
Compiled 42 152 to 3 250 computations (92.3% saved)
49 alts after pruning (47 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 361 | 18 | 1 379 |
| Fresh | 12 | 29 | 41 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 376 | 49 | 1 425 |
| Status | Accuracy | Program |
|---|---|---|
| 95.2% | (fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))) | |
| 19.4% | (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) | |
| 56.4% | (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 86.0% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))) | |
| 55.9% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) | |
| 55.4% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 85.8% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 32.4% | (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))) | |
| 55.9% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) | |
| ✓ | 86.2% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
| 90.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 (*.f64 t (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) z) z)))) | |
| 41.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 t t))))) | |
| 56.4% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 56.9% | (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) y) | |
| 18.4% | (*.f64 (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) y (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 44.5% | (*.f64 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal -1 binary64)) y) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 95.3% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 92.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 56.0% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| 40.3% | (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 t (sqrt.f64 z))) | |
| 54.9% | (*.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) y #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 26.9% | (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 43.9% | (*.f64 (*.f64 (*.f64 t t) (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 52.3% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 z)) | |
| 55.0% | (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) | |
| 32.4% | (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) | |
| 33.4% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 t t))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 z))) | |
| 26.5% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) | |
| 32.5% | (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| 32.4% | (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) | |
| 51.3% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))) | |
| 26.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) | |
| 51.7% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) | |
| 59.5% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) | |
| 57.3% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) | |
| 63.3% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) | |
| 57.3% | (*.f64 (sqrt.f64 (fma.f64 z (*.f64 t t) z)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) | |
| 32.5% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) | |
| ✓ | 32.9% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
| 57.3% | (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) | |
| 33.4% | (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)))) | |
| 31.9% | (*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) | |
| 42.5% | (*.f64 (sqrt.f64 z) (*.f64 t (*.f64 (*.f64 t (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 #s(literal 2 binary64))))) | |
| 57.4% | (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) | |
| 63.9% | (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) | |
| 61.6% | (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) | |
| 66.9% | (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) | |
| 54.5% | (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z)))) | |
| 41.9% | (*.f64 t (*.f64 t (*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
Compiled 2 676 to 1 045 computations (60.9% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 t t))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 t (*.f64 t (*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 (*.f64 t t) (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) y) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 (fma.f64 z (*.f64 t t) z)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (/.f64 (*.f64 y (neg.f64 y)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 t t))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 z))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) y #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z)))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 t (*.f64 (*.f64 t (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 z)) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 t (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (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)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 (*.f64 t (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) z) z)))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x))) (neg.f64 x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 y (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 t t))) (/.f64 #s(literal 1/4 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal -1 binary64)) y) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 x y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))) |
(*.f64 (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) y (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)))) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (*.f64 x (sqrt.f64 z))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
13 calls:
| 184.0ms | (*.f64 z #s(literal 2 binary64)) |
| 182.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 57.0ms | (*.f64 t t) |
| 42.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 32.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | t |
| 99.8% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 99.8% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 99.8% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 99.8% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 99.8% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 99.8% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.8% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 99.8% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 99.8% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 t t))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 t (*.f64 t (*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 (*.f64 t t) (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) y) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 (fma.f64 z (*.f64 t t) z)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (/.f64 (*.f64 y (neg.f64 y)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 t t))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 z))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) y #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z)))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 t (*.f64 (*.f64 t (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 z)) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 t (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (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)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 (*.f64 t (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) z) z)))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x))) (neg.f64 x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 y (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 t t))) (/.f64 #s(literal 1/4 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal -1 binary64)) y) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 x y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))) |
(*.f64 (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) y (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
13 calls:
| 9.9s | x |
| 1.6s | y |
| 588.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 172.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 38.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 1 | x |
| 95.3% | 1 | y |
| 95.3% | 1 | z |
| 98.6% | 3 | t |
| 95.3% | 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)))) |
| 95.3% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 95.3% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 95.3% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 95.3% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 95.3% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 95.3% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 98.6% | 3 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 98.6% | 3 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 t t))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 t (*.f64 t (*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 (*.f64 t t) (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) y) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 (fma.f64 z (*.f64 t t) z)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (/.f64 (*.f64 y (neg.f64 y)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 t t))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 z))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) y #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z)))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 t (*.f64 (*.f64 t (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 z)) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 t (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (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)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 (*.f64 t (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) z) z)))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x))) (neg.f64 x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (neg.f64 y)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 y (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 t t))) (/.f64 #s(literal 1/4 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) #s(literal -1 binary64)) y) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (/.f64 x y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))))) |
(*.f64 (*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) y (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
8 calls:
| 96.0ms | t |
| 26.0ms | (*.f64 z #s(literal 2 binary64)) |
| 24.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 24.0ms | z |
| 24.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 1 | y |
| 95.3% | 1 | z |
| 95.3% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 95.3% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 95.3% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 95.3% | 1 | t |
| 95.3% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 95.3% | 1 | (*.f64 t t) |
Compiled 56 to 45 computations (19.6% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 t t))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 t (*.f64 t (*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 (*.f64 t t) (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) y) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 (fma.f64 z (*.f64 t t) z)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (/.f64 (*.f64 y (neg.f64 y)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 t t))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 z))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) y #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z)))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 t (*.f64 (*.f64 t (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 z)) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 t (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (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)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 (*.f64 t (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) z) z)))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
13 calls:
| 394.0ms | (*.f64 z #s(literal 2 binary64)) |
| 166.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 84.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 74.0ms | x |
| 72.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 95.3% | 1 | x |
| 95.3% | 1 | t |
| 95.3% | 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)))) |
| 95.3% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 95.3% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 95.3% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 95.3% | 1 | (*.f64 t t) |
| 95.3% | 1 | y |
| 95.3% | 1 | z |
| 95.3% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 95.3% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 95.3% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 t t))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 t (*.f64 t (*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 (*.f64 t t) (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) y) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 (fma.f64 z (*.f64 t t) z)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (/.f64 (*.f64 y (neg.f64 y)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 t t))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 z))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) y #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z)))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 t (*.f64 (*.f64 t (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 z)) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 t (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (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)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 (*.f64 t (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) z) z)))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (*.f64 (/.f64 (fma.f64 y y (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
13 calls:
| 61.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 49.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 41.0ms | (*.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)))) |
| 35.0ms | y |
| 33.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.7% | 1 | x |
| 92.7% | 1 | y |
| 92.7% | 1 | z |
| 92.7% | 1 | t |
| 92.7% | 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)))) |
| 92.7% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 92.7% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 92.7% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 92.7% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 92.7% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 92.7% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 92.7% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 92.7% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 t t))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 t (*.f64 t (*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 (*.f64 t t) (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) y) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 (fma.f64 z (*.f64 t t) z)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (/.f64 (*.f64 y (neg.f64 y)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 t t))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 z))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) y #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z)))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 t (*.f64 (*.f64 t (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 z)) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 t (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
13 calls:
| 878.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 845.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 20.0ms | z |
| 20.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 20.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.6% | 1 | t |
| 88.6% | 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)))) |
| 88.6% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 88.6% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 88.6% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 88.6% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 88.6% | 1 | (*.f64 t t) |
| 88.6% | 1 | x |
| 88.6% | 1 | y |
| 90.5% | 2 | z |
| 88.6% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 90.5% | 2 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 90.5% | 2 | (*.f64 z #s(literal 2 binary64)) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 t t))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 t (*.f64 t (*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 (*.f64 t t) (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) y) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 (fma.f64 z (*.f64 t t) z)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (/.f64 (*.f64 y (neg.f64 y)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 t t))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 z))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) y #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z)))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 t (*.f64 (*.f64 t (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 z)) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 t (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 z))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))) |
13 calls:
| 44.0ms | (*.f64 t t) |
| 43.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 22.0ms | (*.f64 z #s(literal 2 binary64)) |
| 20.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 20.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.1% | 2 | t |
| 86.2% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 89.1% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 89.1% | 2 | (*.f64 t t) |
| 86.2% | 1 | y |
| 86.2% | 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)))) |
| 86.2% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 86.2% | 1 | x |
| 86.2% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 88.7% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 86.2% | 1 | z |
| 86.2% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 86.2% | 1 | (*.f64 z #s(literal 2 binary64)) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 t t))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 t (*.f64 t (*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 (*.f64 t t) (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) y) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 (fma.f64 z (*.f64 t t) z)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (*.f64 (/.f64 (*.f64 y (neg.f64 y)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (*.f64 t t) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 t t))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 z))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) x) y #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) (sqrt.f64 z)))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 t (*.f64 (*.f64 t (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 z)) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 #s(literal 2 binary64))) t) (*.f64 t (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (*.f64 t t) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (*.f64 t t) (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
3 calls:
| 19.0ms | t |
| 16.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 15.0ms | (*.f64 t t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.1% | 2 | t |
| 89.1% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 89.1% | 2 | (*.f64 t t) |
Compiled 21 to 16 computations (23.8% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 t t))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 t (*.f64 t (*.f64 (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
5 calls:
| 9.0ms | t |
| 7.0ms | (*.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)))) |
| 7.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 7.0ms | (*.f64 t t) |
| 6.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.2% | 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)))) |
| 86.2% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 86.2% | 1 | t |
| 86.2% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 86.2% | 1 | (*.f64 t t) |
Compiled 52 to 39 computations (25% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 t t))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 t t))))) |
13 calls:
| 10.0ms | y |
| 10.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 9.0ms | x |
| 9.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 8.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.2% | 3 | x |
| 85.6% | 2 | t |
| 65.3% | 4 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 74.2% | 3 | (*.f64 x #s(literal 1/2 binary64)) |
| 85.6% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 85.6% | 2 | (*.f64 t t) |
| 70.8% | 3 | y |
| 61.5% | 2 | z |
| 61.2% | 2 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 61.5% | 2 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 61.5% | 2 | (*.f64 z #s(literal 2 binary64)) |
| 85.6% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 82.6% | 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)))) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
5 calls:
| 8.0ms | t |
| 6.0ms | (*.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)))) |
| 6.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 6.0ms | (*.f64 t t) |
| 5.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.1% | 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)))) |
| 80.4% | 3 | t |
| 78.1% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 78.1% | 2 | (*.f64 t t) |
| 77.7% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 52 to 39 computations (25% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
4 calls:
| 8.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 5.0ms | t |
| 5.0ms | (*.f64 t t) |
| 4.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.2% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 77.4% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 77.4% | 2 | (*.f64 t t) |
| 77.4% | 2 | t |
Compiled 31 to 24 computations (22.6% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #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 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
13 calls:
| 6.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 5.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 4.0ms | (*.f64 z #s(literal 2 binary64)) |
| 4.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 4.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.4% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 56.4% | 1 | z |
| 56.4% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 56.4% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 56.4% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 56.4% | 1 | y |
| 56.4% | 1 | x |
| 56.4% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 56.4% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 56.4% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 56.4% | 1 | t |
| 56.4% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 56.4% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
13 calls:
| 3.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 3.0ms | t |
| 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 | (*.f64 x #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.9% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 32.9% | 1 | z |
| 32.9% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 32.9% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 32.9% | 1 | x |
| 32.9% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 32.9% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 32.9% | 1 | (*.f64 t t) |
| 32.9% | 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)))) |
| 32.9% | 1 | y |
| 32.9% | 1 | t |
| 32.9% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 32.9% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
Compiled 112 to 88 computations (21.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.927428488149224e+93 | 1.2563051066551744e+107 |
| 0.0ms | 0.00042158308703971057 | 50121.58723835031 |
Compiled 24 to 22 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.3598929987832166e+84 | 1.374348150569429e+87 |
Compiled 24 to 23 computations (4.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0538472894526549e+55 | 3.4613282862825127e+55 |
Compiled 24 to 22 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0538472894526549e+55 | 3.4613282862825127e+55 |
Compiled 24 to 22 computations (8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0002108137616184 | +inf |
Compiled 24 to 23 computations (4.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 3.1311903328995917e+286 | 8.62870404171879e+286 |
| 11.0ms | 8.038598086588893e+19 | 3.068454357583479e+20 |
| 13.0ms | 160× | 0 | valid |
Compiled 364 to 272 computations (25.3% saved)
ival-mult: 4.0ms (46.4% of total)ival-sub: 1.0ms (11.6% of total)ival-div: 1.0ms (11.6% of total)ival-exp: 1.0ms (11.6% of total)ival-sqrt: 1.0ms (11.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 3.654484024762221e+56 | 1.1014038887748073e+59 |
| 10.0ms | 128× | 0 | valid |
Compiled 280 to 214 computations (23.6% saved)
ival-mult: 3.0ms (44.2% of total)ival-sub: 1.0ms (14.7% of total)ival-div: 1.0ms (14.7% of total)ival-exp: 1.0ms (14.7% of total)ival-sqrt: 1.0ms (14.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 80× | *-commutative_binary64 |
| 12× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 417 |
| 1 | 143 | 417 |
| 2 | 158 | 417 |
| 3 | 170 | 417 |
| 4 | 176 | 417 |
| 5 | 178 | 417 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(if (<=.f64 (*.f64 t t) #s(literal 1152921504606847/2305843009213693952 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 t t) #s(literal 10000000000000000202188791271559469885760963232143577411377768562080040049981643093586978275328 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 5000000000000000073153476153374365154850214939323275296393053935848981821255741079552 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))) |
(if (<=.f64 (*.f64 t t) #s(literal 20000000000000000204701340408171022992608776270649491456 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) (*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))))) |
(if (<=.f64 (*.f64 t t) #s(literal 20000000000000000204701340408171022992608776270649491456 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) (*.f64 (*.f64 (*.f64 t t) (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 t t)))))) |
(if (<=.f64 t #s(literal 82000000000000000000 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (if (<=.f64 t #s(literal 42000000000000001808157288340184831469809524416402615489837710024196925759070144712781234663442450113546297712969240389021986443894076929725539188504547150283188547664075306724604043672479027549722264657345456767367454406201973630463476063101896894975843966560081787823490474469914312704 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))))) |
(if (<=.f64 t #s(literal 369999999999999996981327459132394656095770212371651362816 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(if (<=.f64 (*.f64 t t) #s(literal 1152921504606847/2305843009213693952 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 t t) #s(literal 10000000000000000202188791271559469885760963232143577411377768562080040049981643093586978275328 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))) |
(if (<=.f64 (*.f64 t t) #s(literal 1152921504606847/2305843009213693952 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) (if (<=.f64 (*.f64 t t) #s(literal 10000000000000000202188791271559469885760963232143577411377768562080040049981643093586978275328 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 5000000000000000073153476153374365154850214939323275296393053935848981821255741079552 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))) |
(if (<=.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 5000000000000000073153476153374365154850214939323275296393053935848981821255741079552 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))) |
(if (<=.f64 (*.f64 t t) #s(literal 20000000000000000204701340408171022992608776270649491456 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) (*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))))) |
(if (<=.f64 (*.f64 t t) #s(literal 20000000000000000204701340408171022992608776270649491456 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) (*.f64 (*.f64 (*.f64 t t) (fma.f64 x #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(if (<=.f64 (*.f64 t t) #s(literal 20000000000000000204701340408171022992608776270649491456 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) (*.f64 (*.f64 (*.f64 t t) (fma.f64 x #s(literal 1/4 binary64) (*.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (*.f64 t t)))))) |
(if (<=.f64 t #s(literal 82000000000000000000 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (if (<=.f64 t #s(literal 42000000000000001808157288340184831469809524416402615489837710024196925759070144712781234663442450113546297712969240389021986443894076929725539188504547150283188547664075306724604043672479027549722264657345456767367454406201973630463476063101896894975843966560081787823490474469914312704 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))))) |
(if (<=.f64 t #s(literal 82000000000000000000 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (if (<=.f64 t #s(literal 42000000000000001808157288340184831469809524416402615489837710024196925759070144712781234663442450113546297712969240389021986443894076929725539188504547150283188547664075306724604043672479027549722264657345456767367454406201973630463476063101896894975843966560081787823490474469914312704 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))) (neg.f64 y)))) |
(if (<=.f64 t #s(literal 369999999999999996981327459132394656095770212371651362816 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))))) |
(if (<=.f64 t #s(literal 369999999999999996981327459132394656095770212371651362816 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z))) (neg.f64 y))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
| 18 894× | lower-fma.f64 |
| 18 894× | lower-fma.f32 |
| 10 850× | lower-fma.f32 |
| 10 842× | lower-fma.f64 |
| 9 716× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 658 | 14117 |
| 1 | 2255 | 13059 |
| 2 | 5607 | 12606 |
| 0 | 8309 | 12007 |
| 0 | 520 | 11496 |
| 1 | 1864 | 10188 |
| 2 | 5903 | 9586 |
| 0 | 8305 | 8939 |
| 0 | 15 | 42 |
| 0 | 24 | 40 |
| 1 | 63 | 39 |
| 2 | 285 | 39 |
| 3 | 2343 | 39 |
| 0 | 8616 | 39 |
| 0 | 136 | 2087 |
| 1 | 454 | 1608 |
| 2 | 1580 | 1515 |
| 3 | 4468 | 1512 |
| 0 | 8848 | 1500 |
| 0 | 40 | 220 |
| 0 | 74 | 216 |
| 1 | 224 | 210 |
| 2 | 1168 | 209 |
| 0 | 8782 | 206 |
| 0 | 42 | 268 |
| 0 | 77 | 257 |
| 1 | 242 | 256 |
| 2 | 1580 | 256 |
| 0 | 8481 | 256 |
| 1× | fuel |
| 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 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 346 to 734 computations (45.5% saved)
(abs t)
Compiled 1 044 to 332 computations (68.2% saved)
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