
Time bar (total: 19.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 6 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 7 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 8 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 9 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 10 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 11 |
| 80% | 49.9% | 12.5% | 0.2% | 0% | 37.4% | 0% | 12 |
Compiled 19 to 17 computations (10.5% saved)
| 874.0ms | 8 256× | 0 | valid |
| 180.0ms | 2 021× | 0 | invalid |
ival-mult: 357.0ms (50.1% of total)ival-sqrt: 104.0ms (14.6% of total)ival-div: 91.0ms (12.8% of total)ival-exp: 81.0ms (11.4% of total)ival-sub: 57.0ms (8% of total)exact: 10.0ms (1.4% of total)ival-true: 8.0ms (1.1% of total)ival-assert: 4.0ms (0.6% 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 |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 t t) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 155.0ms | 512× | 0 | valid |
Compiled 170 to 64 computations (62.4% saved)
ival-mult: 116.0ms (88.9% of total)ival-exp: 4.0ms (3.1% of total)ival-sqrt: 4.0ms (3.1% of total)ival-sub: 3.0ms (2.3% of total)ival-div: 3.0ms (2.3% of total)exact: 1.0ms (0.8% 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 |
|---|---|---|
| ▶ | 99.8% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
Compiled 21 to 15 computations (28.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 64 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 1 344× | lower-fma.f64 |
| 1 344× | lower-fma.f32 |
| 922× | lower-*.f32 |
| 912× | lower-*.f64 |
| 418× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 62 |
| 0 | 24 | 60 |
| 1 | 36 | 60 |
| 2 | 58 | 60 |
| 3 | 115 | 60 |
| 4 | 246 | 60 |
| 5 | 375 | 60 |
| 6 | 507 | 60 |
| 7 | 817 | 60 |
| 8 | 1505 | 60 |
| 9 | 1943 | 60 |
| 10 | 2083 | 60 |
| 11 | 2101 | 60 |
| 12 | 2101 | 60 |
| 13 | 2121 | 60 |
| 14 | 2129 | 60 |
| 15 | 2129 | 60 |
| 0 | 2129 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
t |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.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% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 t t) #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)))) |
| 50.0ms | 256× | 0 | valid |
Compiled 64 to 17 computations (73.4% saved)
ival-div: 24.0ms (61.2% of total)ival-mult: 10.0ms (25.5% of total)ival-exp: 2.0ms (5.1% of total)ival-sqrt: 2.0ms (5.1% of total)ival-sub: 1.0ms (2.6% 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 (/.f64 (*.f64 t t) #s(literal 2 binary64))> |
#<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 (* 1/2 (pow t 2))> |
#<alt (* 1/2 (pow t 2))> |
#<alt (* 1/2 (pow t 2))> |
#<alt (* 1/2 (pow t 2))> |
#<alt (* 1/2 (pow t 2))> |
#<alt (* 1/2 (pow t 2))> |
#<alt (* 1/2 (pow t 2))> |
#<alt (* 1/2 (pow t 2))> |
#<alt (* 1/2 (pow t 2))> |
#<alt (* 1/2 (pow t 2))> |
#<alt (* 1/2 (pow t 2))> |
#<alt (* 1/2 (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))))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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))) |
| 1.0ms | z | @ | -inf | (* (* (- (* 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 | 47 |
| 0 | 24 | 45 |
| 1 | 63 | 44 |
| 2 | 285 | 44 |
| 3 | 2343 | 44 |
| 0 | 8616 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(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))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) |
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(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 t #s(literal 1/2 binary64)) t) |
(*.f64 (*.f64 t #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 t) (/.f64 t #s(literal -2 binary64))) |
(*.f64 (neg.f64 t) (*.f64 t #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 t (neg.f64 t))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) t) (*.f64 t #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 t (neg.f64 t))) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(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 | 2147 |
| 1 | 454 | 1668 |
| 2 | 1580 | 1575 |
| 3 | 4468 | 1572 |
| 0 | 8848 | 1560 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* 1/2 x) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(* -1 y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* 1/2 (pow t 2)) |
(* (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)) |
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(* -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) |
(* 1/2 (pow t 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(* 1/2 (pow t 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(* 1/2 (pow t 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(* 1/2 (pow t 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(* 1/2 (pow t 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(* 1/2 (pow t 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(* 1/2 (pow t 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(* 1/2 (pow t 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(* 1/2 (pow t 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(* 1/2 (pow t 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(* 1/2 (pow t 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(* 1/2 (pow t 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(* (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 21 272 to 1 821 computations (91.4% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 588 | 14 | 602 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 589 | 14 | 603 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.8% | (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))) |
| 99.3% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))) | |
| ▶ | 99.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
| 99.6% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| 96.2% | (*.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))) | |
| 93.2% | (*.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))) | |
| 88.3% | (*.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))) | |
| ▶ | 60.6% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 99.6% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) | |
| 99.8% | (*.f64 (*.f64 (*.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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| 99.6% | (*.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)) | |
| ▶ | 88.8% | (*.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)))) |
| 60.3% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
Compiled 682 to 462 computations (32.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 z (exp.f64 (*.f64 t t))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
| ✓ | cost-diff | 1088 | (/.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))) |
| ✓ | cost-diff | 0 | (sqrt.f64 z) |
| ✓ | cost-diff | 0 | (*.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))))) |
| ✓ | cost-diff | 0 | (*.f64 t t) |
| ✓ | cost-diff | 2752 | (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))))) |
| ✓ | 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)))))) |
| 10 216× | lower-fma.f32 |
| 10 210× | lower-fma.f64 |
| 6 162× | lower-*.f32 |
| 6 132× | lower-*.f64 |
| 2 900× | lower-neg.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 417 |
| 0 | 66 | 413 |
| 1 | 128 | 413 |
| 2 | 379 | 411 |
| 3 | 2124 | 402 |
| 4 | 2914 | 402 |
| 5 | 4284 | 402 |
| 0 | 8430 | 401 |
| 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 |
(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 t 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))))) |
(sqrt.f64 z) |
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 (*.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 #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) |
#s(literal 1/2 binary64) |
x |
y |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
#s(literal 1/48 binary64) |
#s(literal 1/8 binary64) |
(*.f64 (sqrt.f64 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 (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 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))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
#s(literal 2 binary64) |
(*.f64 z (exp.f64 (*.f64 t t))) |
z |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
#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 |
| 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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 z))) |
(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 (-.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)))) |
(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 |
(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 (sqrt.f64 z) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) (*.f64 t t) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) |
(*.f64 t 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 (*.f64 t t) (*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))))) |
(sqrt.f64 z) |
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 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 t (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))) |
(*.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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 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)) |
#s(literal 1/2 binary64) |
x |
y |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
(fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) |
#s(literal 1/48 binary64) |
#s(literal 1/8 binary64) |
(*.f64 (sqrt.f64 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 #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (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)) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) |
#s(literal 1 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 #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
#s(literal 2 binary64) |
(*.f64 z (exp.f64 (*.f64 t t))) |
z |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
#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 |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
| ✓ | accuracy | 100.0% | (*.f64 z (exp.f64 (*.f64 t t))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
| ✓ | accuracy | 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))) |
| ✓ | accuracy | 99.1% | (*.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))) |
| ✓ | accuracy | 97.5% | (*.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 | 94.3% | (*.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))))) |
| ✓ | accuracy | 89.1% | (*.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)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 99.4% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
| ✓ | accuracy | 99.2% | (*.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 | 97.5% | (*.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 | 100.0% | (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% | (exp.f64 (*.f64 t t)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (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)))))) |
| 97.0ms | 256× | 0 | valid |
Compiled 432 to 41 computations (90.5% saved)
ival-mult: 35.0ms (60.7% of total)ival-sqrt: 6.0ms (10.4% of total)ival-sub: 4.0ms (6.9% of total)const: 4.0ms (6.9% of total)ival-div: 3.0ms (5.2% of total)ival-add: 3.0ms (5.2% of total)ival-exp: 2.0ms (3.5% of total)exact: 1.0ms (1.7% 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 (*.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)))))> |
#<alt (*.f64 t t)> |
#<alt (*.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)))))> |
#<alt (/.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)))> |
#<alt (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))> |
#<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 (sqrt.f64 #s(literal 2 binary64))> |
#<alt (*.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))))> |
#<alt (*.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)))> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (*.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)))))> |
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#<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))))> |
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#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
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#<alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))))> |
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#<alt (* 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))))))))> |
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#<alt (* -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)))))> |
#<alt (* -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)))))> |
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#<alt (* 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)))))> |
#<alt (* 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)))))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))> |
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#<alt (* -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))))))))> |
#<alt (* -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))))))))> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (sqrt z)> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt z) (pow (sqrt -1) 2)))> |
#<alt (* (sqrt 2) (- (* 1/2 x) y))> |
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#<alt (+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))))> |
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#<alt (* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))> |
#<alt (* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))> |
#<alt (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))> |
#<alt (* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))> |
#<alt (* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))> |
#<alt (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))> |
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#<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)))))))> |
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#<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 1> |
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#<alt (+ 1 (* 1/2 (pow t 2)))> |
#<alt (+ 1 (* 1/2 (pow t 2)))> |
#<alt (* 1/2 (pow t 2))> |
#<alt (* (pow t 2) (+ 1/2 (/ 1 (pow t 2))))> |
#<alt (* (pow t 2) (+ 1/2 (/ 1 (pow t 2))))> |
#<alt (* (pow t 2) (+ 1/2 (/ 1 (pow t 2))))> |
#<alt (* 1/2 (pow t 2))> |
#<alt (* (pow t 2) (+ 1/2 (/ 1 (pow t 2))))> |
#<alt (* (pow t 2) (+ 1/2 (/ 1 (pow t 2))))> |
#<alt (* (pow t 2) (+ 1/2 (/ 1 (pow t 2))))> |
#<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 (* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))> |
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))> |
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))))> |
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z))))))> |
#<alt (* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))> |
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))> |
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))))> |
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z))))))> |
#<alt (+ (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z)))> |
#<alt (+ (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z)))> |
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#<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 (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 z)> |
#<alt (+ (* 2 z) (* 2 (* (pow t 2) z)))> |
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))> |
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* 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 (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 1> |
#<alt (+ 1 (pow t 2))> |
#<alt (+ 1 (* (pow t 2) (+ 1 (* 1/2 (pow t 2)))))> |
#<alt (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))> |
#<alt (exp (pow t 2))> |
#<alt (exp (pow t 2))> |
#<alt (exp (pow t 2))> |
#<alt (exp (pow t 2))> |
#<alt (exp (pow t 2))> |
#<alt (exp (pow t 2))> |
#<alt (exp (pow t 2))> |
#<alt (exp (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 (* -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 (* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (pow t 2) (+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y)))))> |
#<alt (* (pow t 2) (+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y)))))> |
#<alt (* (pow t 2) (+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y)))))> |
#<alt (* 1/48 (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (pow t 4) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* (pow t 4) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* (pow t 4) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* 1/48 (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (pow t 4) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* (pow t 4) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* (pow t 4) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))> |
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))))> |
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))))> |
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))))> |
#<alt (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))> |
#<alt (* x (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))))> |
#<alt (* x (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))))> |
#<alt (* x (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))))> |
#<alt (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x))))> |
#<alt (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))> |
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))))> |
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))))> |
#<alt (+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))))> |
#<alt (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))> |
#<alt (* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y))))> |
#<alt (* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y))))> |
#<alt (* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y))))> |
#<alt (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))> |
#<alt (* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))))> |
#<alt (* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))))> |
#<alt (* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))))> |
#<alt (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))> |
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))> |
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))> |
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))> |
#<alt (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))> |
#<alt (* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))> |
#<alt (* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))> |
#<alt (* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))> |
#<alt (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x))))> |
#<alt (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))> |
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))> |
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))> |
#<alt (+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))> |
#<alt (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))> |
#<alt (* y (+ (* -1 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y))))> |
#<alt (* y (+ (* -1 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y))))> |
#<alt (* y (+ (* -1 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y))))> |
#<alt (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))> |
#<alt (* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y)) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))> |
#<alt (* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y)) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))> |
#<alt (* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y)) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))> |
#<alt (* 1/8 (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))))> |
#<alt (/ -1 y)> |
#<alt (- (* -1/2 (/ x (pow y 2))) (/ 1 y))> |
#<alt (- (* x (- (* -1/4 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))> |
#<alt (- (* x (- (* x (- (* -1/8 (/ x (pow y 4))) (* 1/4 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))> |
#<alt (/ 2 x)> |
#<alt (/ (+ 2 (* 4 (/ y x))) x)> |
#<alt (/ (- (+ 2 (* 8 (/ (pow y 2) (pow x 2)))) (* -4 (/ y x))) x)> |
#<alt (/ (- (+ 2 (* 16 (/ (pow y 3) (pow x 3)))) (+ (* -8 (/ (pow y 2) (pow x 2))) (* -4 (/ y x)))) x)> |
#<alt (/ 2 x)> |
#<alt (* -1 (/ (- (* -4 (/ y x)) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow y 2) x)) (* -4 y)) x)) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow y 3) x)) (* 8 (pow y 2))) x)) (* -4 y)) x)) 2) x))> |
#<alt (/ 2 x)> |
#<alt (+ (* 4 (/ y (pow x 2))) (* 2 (/ 1 x)))> |
#<alt (+ (* y (+ (* 8 (/ y (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))> |
#<alt (+ (* y (+ (* y (+ (* 16 (/ y (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))> |
#<alt (/ -1 y)> |
#<alt (/ (- (* -1/2 (/ x y)) 1) y)> |
#<alt (/ (- (* -1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* 1/2 (/ x y)))) y)> |
#<alt (/ (- (* -1/8 (/ (pow x 3) (pow y 3))) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))) y)> |
#<alt (/ -1 y)> |
#<alt (* -1 (/ (+ 1 (* 1/2 (/ x y))) y))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))) y))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) y)) (* -1/4 (pow x 2))) y)) (* 1/2 x)) y))) y))> |
162 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | y | @ | 0 | (* (sqrt z) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8)))) |
| 8.0ms | x | @ | -inf | (+ (* (* t t) (* (sqrt z) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))))) (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y))))) |
| 5.0ms | t | @ | 0 | (* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t)))))) |
| 2.0ms | x | @ | inf | (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y)))) |
| 2.0ms | z | @ | 0 | (+ (* (* t t) (* (sqrt z) (* (* t t) (* (* (sqrt 2) (- (* 1/2 x) y)) (+ (* (* t t) 1/48) 1/8))))) (* (sqrt z) (* (+ (* 1/2 (* t t)) 1) (* (sqrt 2) (- (* 1/2 x) y))))) |
| 1× | batch-egg-rewrite |
| 8 020× | lower-fma.f32 |
| 8 014× | lower-fma.f64 |
| 5 876× | lower-*.f32 |
| 5 846× | lower-*.f64 |
| 2 692× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 257 |
| 0 | 66 | 253 |
| 1 | 215 | 251 |
| 2 | 1297 | 251 |
| 0 | 8331 | 250 |
| 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 (*.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 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 (*.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 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(*.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)) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.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 (*.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 #s(literal 1 binary64) (-.f64 (*.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 (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 (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 x #s(literal -1/2 binary64))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) 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)) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (*.f64 y (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(exp.f64 (*.f64 (log.f64 (/.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)))) #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 #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 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 #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 (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 x #s(literal -1/2 binary64)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) y)) |
(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 (*.f64 x #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 y (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.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))) |
(fma.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))) |
(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))) |
(neg.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)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(/.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal -1/2 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (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 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (neg.f64 (*.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 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.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 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (neg.f64 (*.f64 y y))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(/.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)) |
(/.f64 #s(literal -1 binary64) (/.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 (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 (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)) (neg.f64 (*.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 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (neg.f64 (*.f64 y y)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal -1/2 binary64) y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (neg.f64 (*.f64 y y))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (neg.f64 (*.f64 y y))))) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (neg.f64 (*.f64 y y))) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)))))) |
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(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) y)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) y (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (*.f64 x #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)) #s(literal 1 binary64)) |
(/.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)) #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))) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y))))) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (neg.f64 (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))))) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) |
(pow.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.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)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)))) |
(*.f64 (pow.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.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 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 14 486× | lower-fma.f64 |
| 14 486× | lower-fma.f32 |
| 6 722× | lower-*.f64 |
| 6 722× | lower-*.f32 |
| 6 034× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 614 | 13749 |
| 1 | 2130 | 12450 |
| 2 | 5243 | 12048 |
| 0 | 9076 | 11503 |
| 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))))) |
(* -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 (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))))) |
(* (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)))) |
(* (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)))) |
(* (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)))) |
(* -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)))))) |
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(* 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))))) |
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(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))))) |
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(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)) |
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(* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))) |
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(* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))) |
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(* 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))))))) |
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(* -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)))) |
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(* -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)))) |
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(* -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))) |
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(+ 1 (* 1/2 (pow t 2))) |
(* 1/2 (pow t 2)) |
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2)))) |
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(* (pow t 2) (+ 1/2 (/ 1 (pow t 2)))) |
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2)))) |
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(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
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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)))) (* (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))))))))) |
(* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))) |
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z)))))) |
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z)))))) |
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(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))) |
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z)))))) |
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z)))))) |
(+ (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z))) |
(+ (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z))) |
(+ (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z))) |
(+ (* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z))) |
(* z (+ (* (sqrt (/ 1 z)) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))) |
(* z (+ (* (sqrt (/ 1 z)) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))) |
(* z (+ (* (sqrt (/ 1 z)) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))) |
(* z (+ (* (sqrt (/ 1 z)) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) (* (* (pow t 4) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))) |
(* -1 (* z (+ (* (sqrt (/ 1 z)) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))) (* (* (pow t 4) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y))))) (sqrt (/ 1 z)))))) |
(* -1 (* z (+ (* (sqrt (/ 1 z)) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))) (* (* (pow t 4) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y))))) (sqrt (/ 1 z)))))) |
(* -1 (* z (+ (* (sqrt (/ 1 z)) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))) (* (* (pow t 4) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y))))) (sqrt (/ 1 z)))))) |
(* -1 (* z (+ (* (sqrt (/ 1 z)) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y))))) (* (* (pow t 4) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y))))) (sqrt (/ 1 z)))))) |
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(* x (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (+ (* -1 (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (+ (* -1 (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (+ (* -1 (* (/ (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) x)) (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) x)) (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* -1 (* (* (pow t 4) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) x)) (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1/2 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))))) |
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(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))) |
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(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (+ (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (+ (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* 1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z))))))) |
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (+ (* -1 (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (+ (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* 1/2 (* (/ (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z))))))) |
(* -1 (* y (+ (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))) |
(* -1 (* y (+ (* -1 (/ (+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) y)) (+ (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))) |
(* -1 (* y (+ (* -1 (/ (+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) y)) (+ (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))) |
(* -1 (* y (+ (* -1 (/ (+ (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* (pow t 4) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) y)) (+ (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* (* (pow t 4) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z)))))) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(* (* (pow t 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z)) |
(* (* (pow t 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z)) |
(* (* (pow t 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z)) |
(* (* (pow t 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z)) |
(* (* (pow t 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z)) |
(* (* (pow t 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z)) |
(* (* (pow t 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z)) |
(* (* (pow t 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y)))) (sqrt z)) |
(* -1 (* (* (pow t 2) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y))))) (sqrt z))) |
(* -1 (* (* (pow t 2) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y))))) (sqrt z))) |
(* -1 (* (* (pow t 2) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y))))) (sqrt z))) |
(* -1 (* (* (pow t 2) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1/8 (* 1/48 (pow t 2))) (- (* 1/2 x) y))))) (sqrt z))) |
(* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* (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)))))) |
(* (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)))))) |
(* (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)))))) |
(* 1/48 (* (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* (pow t 4) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))) |
(* (pow t 4) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))) |
(* (pow t 4) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))) |
(* 1/48 (* (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* (pow t 4) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))) |
(* (pow t 4) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))) |
(* (pow t 4) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))) |
(* -1 (* (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) |
(+ (* -1 (* (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* 1/2 (* (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) |
(+ (* -1 (* (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* 1/2 (* (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) |
(+ (* -1 (* (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* 1/2 (* (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) |
(* 1/2 (* (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))) |
(* x (+ (* -1 (* (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))) |
(* x (+ (* -1 (* (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))) |
(* 1/2 (* (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (* (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (* (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (* (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x) (sqrt z))))) |
(* 1/2 (* (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) |
(+ (* -1 (* (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* 1/2 (* (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) |
(+ (* -1 (* (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* 1/2 (* (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) |
(+ (* -1 (* (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) (* 1/2 (* (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z)))) |
(* -1 (* (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) |
(* y (+ (* -1 (* (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (* 1/2 (* (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z))))) |
(* y (+ (* -1 (* (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (* 1/2 (* (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z))))) |
(* y (+ (* -1 (* (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))) (* 1/2 (* (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z))))) |
(* -1 (* (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z))) (* (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z))) (* (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt z))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y) (sqrt z))) (* (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (sqrt 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 (* (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 (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))))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 z) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z)))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z))))))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 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))) |
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(* -1 (* y (sqrt 2))) |
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(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
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(* -1 (* y (sqrt 2))) |
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(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(* 1/8 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (pow t 2) (+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))))) |
(* (pow t 2) (+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))))) |
(* (pow t 2) (+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y))))) |
(* 1/48 (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (pow t 4) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(* (pow t 4) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(* (pow t 4) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(* 1/48 (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (pow t 4) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(* (pow t 4) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(* (pow t 4) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))) |
(+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))) |
(+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))) |
(* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(* x (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))) |
(* x (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))) |
(* x (+ (* -1 (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x)) (* 1/2 (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))) |
(* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(* -1 (* x (+ (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x)))) |
(* -1 (* x (+ (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x)))) |
(* -1 (* x (+ (* -1/2 (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (/ (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) x)))) |
(* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))) |
(+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))) |
(+ (* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) (* 1/2 (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))) |
(* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y)))) |
(* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y)))) |
(* y (+ (* -1 (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y)))) |
(* -1 (* (pow t 2) (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))) |
(* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))) |
(* -1 (* y (+ (* -1/2 (/ (* (pow t 2) (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) y)) (* (pow t 2) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))))) |
(* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) |
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) x)))) |
(* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) |
(* y (+ (* -1 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y)))) |
(* y (+ (* -1 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y)))) |
(* y (+ (* -1 (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y)))) |
(* -1 (* y (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2)))))) |
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y)) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y)) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y)) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(/ -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)) |
| 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 (*.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)))))))) |
(*.f64 (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) #s(literal -1/2 binary64))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) #s(literal -1/2 binary64))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) #s(literal -1/2 binary64))) (neg.f64 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 (* (* 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 y (*.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))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 #s(literal 2 binary64))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 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 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))) |
(* (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 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
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(* 1/2 (pow t 2)) |
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(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
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(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z)))))) |
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(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z)))))) |
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(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z)))))) |
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(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z)))))) |
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(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y)) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(neg.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))))) |
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))) y)) (* (sqrt 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(neg.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))))) |
(* 1/8 (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #s(literal 1/8 binary64)) |
(+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.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))) |
(+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.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))) |
(+ (* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.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))) |
(* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/48 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))))) |
(* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))))) |
(* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))))) |
(* 1/48 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/48 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))))) |
(* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))))) |
(* (pow t 2) (+ (* 1/48 (* (sqrt 2) (- (* 1/2 x) y))) (* 1/8 (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2))))) |
(*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))))) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (* -1/2 (/ x (pow y 2))) (/ 1 y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) y) |
(- (* x (- (* -1/4 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(fma.f64 x (fma.f64 #s(literal -1/4 binary64) (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) |
(- (* x (- (* x (- (* -1/8 (/ x (pow y 4))) (* 1/4 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* 4 (/ y x))) x) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 4 binary64) #s(literal 2 binary64)) x) |
(/ (- (+ 2 (* 8 (/ (pow y 2) (pow x 2)))) (* -4 (/ y x))) x) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 8 binary64) x) (*.f64 y #s(literal 4 binary64))) x)) x) |
(/ (- (+ 2 (* 16 (/ (pow y 3) (pow x 3)))) (+ (* -8 (/ (pow y 2) (pow x 2))) (* -4 (/ y x)))) x) |
(/.f64 (+.f64 (fma.f64 #s(literal 16 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 8 binary64) x) (*.f64 y #s(literal 4 binary64))) x)) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(* -1 (/ (- (* -4 (/ y x)) 2) x)) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 4 binary64) #s(literal 2 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow y 2) x)) (* -4 y)) x)) 2) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 8 binary64) x) (*.f64 y #s(literal 4 binary64))) x)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow y 3) x)) (* 8 (pow y 2))) x)) (* -4 y)) x)) 2) x)) |
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 y #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal -16 binary64) (/.f64 (*.f64 y (*.f64 y y)) x) (*.f64 (*.f64 y y) #s(literal -8 binary64))) (neg.f64 x))) x)) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(+ (* 4 (/ y (pow x 2))) (* 2 (/ 1 x))) |
(fma.f64 y (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) x)) |
(+ (* y (+ (* 8 (/ y (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(fma.f64 y (fma.f64 y (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) |
(+ (* y (+ (* y (+ (* 16 (/ y (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(fma.f64 y (fma.f64 y (fma.f64 #s(literal 16 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (/.f64 #s(literal 2 binary64) x)) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ (- (* -1/2 (/ x y)) 1) y) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) y) |
(/ (- (* -1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* 1/2 (/ x y)))) y) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x x) y) (*.f64 x #s(literal -1/2 binary64))) y) #s(literal -1 binary64)) y) |
(/ (- (* -1/8 (/ (pow x 3) (pow y 3))) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))) y) |
(/.f64 (-.f64 (/.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 (/.f64 x (*.f64 y y))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal 1 binary64)))) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* -1 (/ (+ 1 (* 1/2 (/ x y))) y)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x y) #s(literal -1 binary64)) y) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x x) y) (*.f64 x #s(literal -1/2 binary64))) y)) (neg.f64 y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) y)) (* -1/4 (pow x 2))) y)) (* 1/2 x)) y))) y)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (/.f64 (*.f64 x x) y)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) y)) y)) y) |
Compiled 107 528 to 4 635 computations (95.7% saved)
28 alts after pruning (28 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 798 | 25 | 2 823 |
| Fresh | 6 | 3 | 9 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 809 | 28 | 2 837 |
| Status | Accuracy | Program |
|---|---|---|
| 95.1% | (fma.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 z) t) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))))) | |
| 94.7% | (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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z))) | |
| ▶ | 99.7% | (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
| 78.3% | (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))))) | |
| 60.5% | (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) | |
| 58.8% | (*.f64 (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)) | |
| ▶ | 60.3% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
| 91.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) | |
| 85.7% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) | |
| 96.9% | (*.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) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) | |
| 60.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 51.5% | (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (neg.f64 (*.f64 y y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) | |
| 53.6% | (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 60.3% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) | |
| ▶ | 96.2% | (*.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))) |
| 93.2% | (*.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))) | |
| 88.3% | (*.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))) | |
| 60.3% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| 61.6% | (*.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)) | |
| 32.4% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| ▶ | 31.7% | (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 31.5% | (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) | |
| 32.3% | (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 z)) | |
| 85.5% | (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| ▶ | 51.4% | (*.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)))))) |
| 86.3% | (*.f64 (sqrt.f64 z) (*.f64 x (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) | |
| 51.5% | (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) | |
| 60.9% | (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
Compiled 1 238 to 856 computations (30.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (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))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) |
| ✓ | 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)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))) |
| ✓ | cost-diff | 128 | (*.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))))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 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) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
| ✓ | 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 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) 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 | 1088 | (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
| 7 990× | lower-fma.f32 |
| 7 982× | lower-fma.f64 |
| 4 054× | lower-*.f32 |
| 4 026× | lower-*.f64 |
| 2 388× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 284 |
| 0 | 69 | 282 |
| 1 | 147 | 280 |
| 2 | 405 | 280 |
| 3 | 1488 | 280 |
| 4 | 4871 | 280 |
| 5 | 7742 | 280 |
| 0 | 8220 | 278 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
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)))) |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(*.f64 (*.f64 (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 #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 z) |
z |
(*.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)))))) |
(sqrt.f64 z) |
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))))) |
(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) |
(neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 y (sqrt.f64 #s(literal 2 binary64))) |
y |
(sqrt.f64 #s(literal 2 binary64)) |
#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 (*.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 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) |
(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 t 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)) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
#s(literal 1/48 binary64) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (-.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 |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(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 #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 z) |
z |
(*.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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (*.f64 y (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64)))) |
(sqrt.f64 z) |
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 (sqrt.f64 #s(literal 2 binary64)) (*.f64 y (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 1/2 binary64) |
(*.f64 t t) |
t |
#s(literal 1 binary64) |
(neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 y (sqrt.f64 #s(literal 2 binary64))) |
y |
(sqrt.f64 #s(literal 2 binary64)) |
#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 (*.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) (*.f64 (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 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) |
(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 t 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)) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
#s(literal 1/48 binary64) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (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)) |
| ✓ | accuracy | 100.0% | (*.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))) |
| ✓ | accuracy | 99.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.7% | (*.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)))))) |
| ✓ | accuracy | 99.6% | (*.f64 y (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 z) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
| ✓ | accuracy | 99.6% | (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
| ✓ | 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% | (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) |
| ✓ | accuracy | 100.0% | (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) |
| ✓ | accuracy | 99.8% | (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
| 40.0ms | 137× | 0 | valid |
| 34.0ms | 119× | 0 | exit |
Compiled 298 to 43 computations (85.6% saved)
ival-mult: 25.0ms (51.9% of total)ival-sqrt: 6.0ms (12.5% of total)ival-add: 4.0ms (8.3% of total)const: 4.0ms (8.3% of total)ival-div: 3.0ms (6.2% of total)ival-exp: 2.0ms (4.2% of total)ival-neg: 2.0ms (4.2% of total)ival-sub: 1.0ms (2.1% 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) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))> |
#<alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)> |
#<alt (*.f64 x #s(literal 1/2 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))> |
#<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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))> |
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))> |
#<alt (*.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)))))> |
#<alt (*.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))))))> |
#<alt (sqrt.f64 z)> |
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))> |
#<alt (*.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)))> |
#<alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))> |
#<alt (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))> |
#<alt (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))> |
#<alt (*.f64 z #s(literal 2 binary64))> |
#<alt (sqrt.f64 #s(literal 2 binary64))> |
#<alt (*.f64 y (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))> |
#<alt (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))> |
| 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) (* (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 (* (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 (* -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))> |
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#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))> |
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z)))))> |
#<alt (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))))))> |
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y))))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 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 (* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))> |
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))> |
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))))> |
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z))))))> |
#<alt (* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))> |
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))))> |
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))))> |
#<alt (* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z))))))> |
#<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 (* 2 z)> |
#<alt (+ (* 2 z) (* 2 (* (pow t 2) z)))> |
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z))))> |
#<alt (+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z)))))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<alt (* 2 (* z (exp (pow t 2))))> |
#<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 (* (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 (* 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 (* y (sqrt 2))> |
#<alt (* y (sqrt 2))> |
#<alt (* y (sqrt 2))> |
#<alt (* y (sqrt 2))> |
#<alt (* y (sqrt 2))> |
#<alt (* y (sqrt 2))> |
#<alt (* y (sqrt 2))> |
#<alt (* y (sqrt 2))> |
#<alt (* y (sqrt 2))> |
#<alt (* y (sqrt 2))> |
#<alt (* y (sqrt 2))> |
#<alt (* y (sqrt 2))> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt (* -1 (* y (sqrt 2)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/8 (pow t 2)))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))> |
#<alt (* 1/48 (pow t 4))> |
#<alt (* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))> |
#<alt (* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))> |
#<alt (* 1/48 (pow t 4))> |
#<alt (* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))> |
#<alt (* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))> |
123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | z | @ | -inf | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)) 1)) |
| 3.0ms | y | @ | -inf | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)) 1)) |
| 1.0ms | z | @ | 0 | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)) 1)) |
| 1.0ms | x | @ | 0 | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)) 1)) |
| 1.0ms | t | @ | inf | (/ 1 (sqrt (* (exp (* t t)) (* 2 z)))) |
| 1× | batch-egg-rewrite |
| 7 770× | lower-fma.f32 |
| 7 762× | lower-fma.f64 |
| 4 816× | lower-*.f32 |
| 4 790× | lower-*.f64 |
| 3 536× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 188 |
| 0 | 69 | 184 |
| 1 | 231 | 180 |
| 2 | 1519 | 180 |
| 0 | 8634 | 179 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (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 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (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 (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)))))) |
(sqrt.f64 z) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (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 z #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 z #s(literal 2 binary64)) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 y (sqrt.f64 #s(literal 2 binary64))) |
(neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(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)) |
| Outputs |
|---|
(+.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 #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 (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)))) |
(exp.f64 (*.f64 (log.f64 (/.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)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 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 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 y (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(-.f64 (/.f64 (/.f64 (*.f64 #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)))))) |
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(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t (*.f64 t #s(literal 1/48 binary64)))))) (+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t (*.f64 t #s(literal 1/48 binary64))))))) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t (*.f64 t #s(literal 1/48 binary64)))))) (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 t (*.f64 (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))))) |
(*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) #s(literal 1/4 binary64)) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))))) |
| 1× | egg-herbie |
| 14 562× | lower-fma.f64 |
| 14 562× | lower-fma.f32 |
| 8 254× | lower-*.f64 |
| 8 254× | lower-*.f32 |
| 2 542× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 330 | 7707 |
| 1 | 1130 | 6863 |
| 2 | 4283 | 6458 |
| 0 | 8161 | 6215 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* 1/2 x) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(* -1 y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* 1/2 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 (/ 1 z)) (/ 1 (sqrt 2))) |
(+ (* -1/2 (* (/ (pow t 2) (sqrt 2)) (sqrt (/ 1 z)))) (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) |
(+ (* (sqrt (/ 1 z)) (/ 1 (sqrt 2))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* 1/8 (* (/ (pow t 2) (sqrt 2)) (sqrt (/ 1 z))))))) |
(+ (* (sqrt (/ 1 z)) (/ 1 (sqrt 2))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* (pow t 2) (+ (* -1/48 (* (/ (pow t 2) (sqrt 2)) (sqrt (/ 1 z)))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2))))))))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (sqrt -2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (sqrt -2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (sqrt -2))) |
(* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ (sqrt -1) (sqrt -2))) |
(* -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)) |
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(* -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)))) |
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(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
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(* -1 (* (* y (sqrt 2)) (sqrt z))) |
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(* -1 (* (* y (sqrt 2)) (sqrt z))) |
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(* (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))) |
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(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 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) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(* -1 (* y (sqrt 2))) |
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(+ (* -1 (* y (sqrt 2))) (* -1/2 (* (pow t 2) (* y (sqrt 2))))) |
(+ (* -1 (* y (sqrt 2))) (* -1/2 (* (pow t 2) (* y (sqrt 2))))) |
(* -1/2 (* (pow t 2) (* y (sqrt 2)))) |
(* (pow t 2) (+ (* -1 (/ (* y (sqrt 2)) (pow t 2))) (* -1/2 (* y (sqrt 2))))) |
(* (pow t 2) (+ (* -1 (/ (* y (sqrt 2)) (pow t 2))) (* -1/2 (* y (sqrt 2))))) |
(* (pow t 2) (+ (* -1 (/ (* y (sqrt 2)) (pow t 2))) (* -1/2 (* y (sqrt 2))))) |
(* -1/2 (* (pow t 2) (* y (sqrt 2)))) |
(* (pow t 2) (+ (* -1 (/ (* y (sqrt 2)) (pow t 2))) (* -1/2 (* y (sqrt 2))))) |
(* (pow t 2) (+ (* -1 (/ (* y (sqrt 2)) (pow t 2))) (* -1/2 (* y (sqrt 2))))) |
(* (pow t 2) (+ (* -1 (/ (* y (sqrt 2)) (pow t 2))) (* -1/2 (* y (sqrt 2))))) |
(* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
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(* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
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(* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* -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))) |
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(* (* y (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z)) |
(* (* y (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z)) |
(* (* y (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z)) |
(* (* y (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z)) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* -1/2 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* -1/2 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* -1/2 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z)))) |
(* -1/2 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))) |
(* (pow t 2) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/2 (* (* y (sqrt 2)) (sqrt z))))) |
(* (pow t 2) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/2 (* (* y (sqrt 2)) (sqrt z))))) |
(* (pow t 2) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/2 (* (* y (sqrt 2)) (sqrt z))))) |
(* -1/2 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))) |
(* (pow t 2) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/2 (* (* y (sqrt 2)) (sqrt z))))) |
(* (pow t 2) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/2 (* (* y (sqrt 2)) (sqrt z))))) |
(* (pow t 2) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/2 (* (* y (sqrt 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 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(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))) |
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) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) x) (sqrt z))))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z))))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (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)))) |
(+ (* (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))))))))) |
(* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))) |
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z)))))) |
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z)))))) |
(* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))))) |
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z)))))) |
(* (pow t 6) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 6)) (sqrt z)))))) |
(* -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))))) |
(* 2 z) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z)))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z))))))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* 2 (* z (exp (pow t 2)))) |
(* (sqrt z) (sqrt 2)) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z))))))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* y (sqrt 2)) |
(* y (sqrt 2)) |
(* y (sqrt 2)) |
(* y (sqrt 2)) |
(* y (sqrt 2)) |
(* y (sqrt 2)) |
(* y (sqrt 2)) |
(* y (sqrt 2)) |
(* y (sqrt 2)) |
(* y (sqrt 2)) |
(* y (sqrt 2)) |
(* y (sqrt 2)) |
(* -1 (* y (sqrt 2))) |
(* -1 (* y (sqrt 2))) |
(* -1 (* y (sqrt 2))) |
(* -1 (* y (sqrt 2))) |
(* -1 (* y (sqrt 2))) |
(* -1 (* y (sqrt 2))) |
(* -1 (* y (sqrt 2))) |
(* -1 (* y (sqrt 2))) |
(* -1 (* y (sqrt 2))) |
(* -1 (* y (sqrt 2))) |
(* -1 (* y (sqrt 2))) |
(* -1 (* y (sqrt 2))) |
1/2 |
(+ 1/2 (* 1/8 (pow t 2))) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
(* 1/48 (pow t 4)) |
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(* 1/48 (pow t 4)) |
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
| Outputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 x (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (fma.f64 y (neg.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 y (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(+ (* 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 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) |
(fma.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) (*.f64 z (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)))) (*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 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) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 z #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (*.f64 z #s(literal 1/24 binary64))))))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))))) |
(* (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))) |
(* (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))))) |
(*.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)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.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)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.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)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.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)) (neg.f64 (sqrt.f64 #s(literal -1 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 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
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(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(*.f64 z (fma.f64 #s(literal 2 binary64) (*.f64 t t) #s(literal 2 binary64))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z)))) |
(*.f64 z (fma.f64 (fma.f64 t t #s(literal 2 binary64)) (*.f64 t t) #s(literal 2 binary64))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z))))))) |
(fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 z (*.f64 (*.f64 t t) #s(literal 1/3 binary64)) z) (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 2 binary64) z)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z))))))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 z #s(literal 1/8 binary64)))))) |
(+ (* (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))))))))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 z #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (*.f64 z #s(literal 1/24 binary64)))))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) |
(* 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) |
(* y (sqrt 2)) |
(*.f64 y (sqrt.f64 #s(literal 2 binary64))) |
(* y (sqrt 2)) |
(*.f64 y (sqrt.f64 #s(literal 2 binary64))) |
(* y (sqrt 2)) |
(*.f64 y (sqrt.f64 #s(literal 2 binary64))) |
(* y (sqrt 2)) |
(*.f64 y (sqrt.f64 #s(literal 2 binary64))) |
(* y (sqrt 2)) |
(*.f64 y (sqrt.f64 #s(literal 2 binary64))) |
(* y (sqrt 2)) |
(*.f64 y (sqrt.f64 #s(literal 2 binary64))) |
(* y (sqrt 2)) |
(*.f64 y (sqrt.f64 #s(literal 2 binary64))) |
(* y (sqrt 2)) |
(*.f64 y (sqrt.f64 #s(literal 2 binary64))) |
(* y (sqrt 2)) |
(*.f64 y (sqrt.f64 #s(literal 2 binary64))) |
(* y (sqrt 2)) |
(*.f64 y (sqrt.f64 #s(literal 2 binary64))) |
(* y (sqrt 2)) |
(*.f64 y (sqrt.f64 #s(literal 2 binary64))) |
(* y (sqrt 2)) |
(*.f64 y (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* y (sqrt 2))) |
(neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (sqrt 2))) |
(neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (sqrt 2))) |
(neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (sqrt 2))) |
(neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (sqrt 2))) |
(neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (sqrt 2))) |
(neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (sqrt 2))) |
(neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (sqrt 2))) |
(neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (sqrt 2))) |
(neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (sqrt 2))) |
(neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (sqrt 2))) |
(neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
(* -1 (* y (sqrt 2))) |
(neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/8 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
(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)) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
(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)) |
(* 1/48 (pow t 4)) |
(*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64)))) |
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t)))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))))) |
(* 1/48 (pow t 4)) |
(*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64)))) |
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t)))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))))) |
Compiled 47 007 to 2 941 computations (93.7% saved)
39 alts after pruning (39 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 710 | 24 | 1 734 |
| Fresh | 8 | 15 | 23 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 723 | 39 | 1 762 |
| Status | Accuracy | Program |
|---|---|---|
| 95.1% | (fma.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 z) t) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))))) | |
| 94.7% | (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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z))) | |
| 60.3% | (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64)))) | |
| 60.4% | (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 60.5% | (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) | |
| ▶ | 50.4% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
| 91.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) | |
| 85.7% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) | |
| ▶ | 96.9% | (*.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) (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
| 60.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 95.9% | (*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) | |
| 51.5% | (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) | |
| 26.8% | (*.f64 (*.f64 (/.f64 (*.f64 y (neg.f64 y)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 13.8% | (*.f64 (*.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 93.2% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 62.2% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (/.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) | |
| 96.0% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64)))) #s(literal 1 binary64))) | |
| 88.3% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| 60.3% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| 51.5% | (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) | |
| ▶ | 61.6% | (*.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)) |
| ▶ | 59.8% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (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))) |
| 32.4% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 58.5% | (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x)) | |
| 50.3% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) y)) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64))) | |
| 32.3% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) | |
| 31.6% | (*.f64 (*.f64 (neg.f64 y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) | |
| 57.1% | (*.f64 (*.f64 (neg.f64 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))) | |
| 31.5% | (*.f64 (*.f64 y (sqrt.f64 z)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) | |
| 31.5% | (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) | |
| 27.7% | (*.f64 (*.f64 t t) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)))) | |
| 32.3% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) | |
| ▶ | 31.7% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
| 85.5% | (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| 27.8% | (*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) | |
| 86.3% | (*.f64 (sqrt.f64 z) (*.f64 x (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) | |
| 51.5% | (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) | |
| 31.5% | (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) | |
| 60.9% | (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
Compiled 1 678 to 1 162 computations (30.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (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))) |
| ✓ | 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 | (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
| ✓ | cost-diff | 0 | (*.f64 t t) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) 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)))))) |
| 12 026× | lower-fma.f32 |
| 12 010× | lower-fma.f64 |
| 6 116× | lower-*.f32 |
| 6 084× | lower-*.f64 |
| 2 950× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 348 |
| 0 | 79 | 343 |
| 1 | 188 | 343 |
| 2 | 561 | 343 |
| 3 | 2030 | 337 |
| 4 | 5080 | 337 |
| 5 | 6094 | 337 |
| 6 | 7452 | 337 |
| 0 | 8064 | 326 |
| 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 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(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 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(*.f64 (*.f64 (*.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 #s(literal 1/2 binary64) x) (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 z #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(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 t 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)) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
#s(literal 1/48 binary64) |
#s(literal 1/8 binary64) |
#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 (fma.f64 (*.f64 t 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 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 (fma.f64 (*.f64 t 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 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 (fma.f64 (*.f64 t 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)) |
#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 (fma.f64 (*.f64 t 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) |
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) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 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) (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 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 y (fma.f64 t (*.f64 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 1/2 binary64) |
(*.f64 t t) |
t |
#s(literal 1 binary64) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(*.f64 (*.f64 (*.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)) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) 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 #s(literal 1/2 binary64) x) (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 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 x (fma.f64 (*.f64 t t) (*.f64 (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 1/2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
(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 t 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)) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
#s(literal 1/48 binary64) |
#s(literal 1/8 binary64) |
#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 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.8% | (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 96.4% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (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))) |
| ✓ | accuracy | 100.0% | (*.f64 z #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (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 | 88.2% | (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 99.6% | (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
| ✓ | accuracy | 94.4% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 2 binary64) z) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | 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 | 99.4% | (*.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 | 98.1% | (*.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 | 90.5% | (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))))) |
| 93.0ms | 256× | 0 | valid |
Compiled 383 to 51 computations (86.7% saved)
ival-mult: 37.0ms (56.6% of total)ival-add: 9.0ms (13.8% of total)const: 8.0ms (12.2% of total)ival-sqrt: 5.0ms (7.6% of total)ival-div: 2.0ms (3.1% of total)ival-neg: 2.0ms (3.1% of total)ival-sub: 1.0ms (1.5% of total)exact: 1.0ms (1.5% 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 (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 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))> |
#<alt (*.f64 t t)> |
#<alt (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) 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 #s(literal 1/2 binary64) x) (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)))> |
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))> |
#<alt (*.f64 #s(literal 1/2 binary64) x)> |
#<alt (sqrt.f64 (*.f64 z #s(literal 2 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 (*.f64 z #s(literal 2 binary64))> |
#<alt (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))> |
#<alt (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))> |
| 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)))))> |
#<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 (* (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 (* (* (pow t 3) (* (sqrt 1/6) (* (sqrt 2) (- (* 1/2 x) y)))) (sqrt z))> |
#<alt (* (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))))))> |
#<alt (* (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)))))))> |
#<alt (* (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))))))))> |
#<alt (* -1 (* (* (pow t 3) (* (sqrt 1/6) (* (sqrt 2) (- (* 1/2 x) y)))) (sqrt z)))> |
#<alt (* -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)))))))> |
#<alt (* -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))))))))> |
#<alt (* -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)))))))))> |
#<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 (+ 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))> |
#<alt (* (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))> |
#<alt (* (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))> |
#<alt (* (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))> |
#<alt (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt -2) (sqrt -1))))> |
#<alt (* -1 (* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (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 (* (* (pow t 3) (* (sqrt 1/6) (sqrt 2))) (sqrt z))> |
#<alt (* (pow t 3) (+ (* 1/4 (* (/ (sqrt 2) (* (pow t 2) (sqrt 1/6))) (sqrt z))) (* (sqrt z) (* (sqrt 1/6) (sqrt 2)))))> |
#<alt (* (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))))))> |
#<alt (* (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)))))))> |
#<alt (* -1 (* (* (pow t 3) (* (sqrt 1/6) (sqrt 2))) (sqrt z)))> |
#<alt (* -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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#<alt (* 1/2 x)> |
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#<alt -1> |
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#<alt -1> |
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#<alt -1> |
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#<alt (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z)))> |
#<alt (* -1/2 (* (* x (* (sqrt -2) (* (sqrt -1) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (sqrt z)))> |
#<alt (* -1/2 (* (* x (* (sqrt -2) (* (sqrt -1) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (sqrt z)))> |
#<alt (* -1/2 (* (* x (* (sqrt -2) (* (sqrt -1) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (sqrt z)))> |
#<alt (* -1/2 (* (* x (* (sqrt -2) (* (sqrt -1) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (sqrt z)))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (+ (* 1/4 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z))))> |
#<alt (+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* 1/16 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z))) (* 1/4 (* (* x (sqrt 2)) (sqrt z))))))> |
#<alt (+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* 1/4 (* (* x (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* 1/96 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z))) (* 1/16 (* (* x (sqrt 2)) (sqrt z))))))))> |
#<alt (* 1/96 (* (* (pow t 6) (* x (sqrt 2))) (sqrt z)))> |
#<alt (* (pow t 6) (+ (* 1/96 (* (* x (sqrt 2)) (sqrt z))) (* 1/16 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z)))))> |
#<alt (* (pow t 6) (+ (* 1/96 (* (* x (sqrt 2)) (sqrt z))) (+ (* 1/16 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z))) (* 1/4 (* (/ (* x (sqrt 2)) (pow t 4)) (sqrt z))))))> |
#<alt (* (pow t 6) (+ (* 1/96 (* (* x (sqrt 2)) (sqrt z))) (+ (* 1/16 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z))) (+ (* 1/4 (* (/ (* x (sqrt 2)) (pow t 4)) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (pow t 6)) (sqrt z)))))))> |
#<alt (* 1/96 (* (* (pow t 6) (* x (sqrt 2))) (sqrt z)))> |
#<alt (* (pow t 6) (+ (* 1/96 (* (* x (sqrt 2)) (sqrt z))) (* 1/16 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z)))))> |
#<alt (* (pow t 6) (+ (* 1/96 (* (* x (sqrt 2)) (sqrt z))) (+ (* 1/16 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z))) (* 1/4 (* (/ (* x (sqrt 2)) (pow t 4)) (sqrt z))))))> |
#<alt (* (pow t 6) (+ (* 1/96 (* (* x (sqrt 2)) (sqrt z))) (+ (* 1/16 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z))) (+ (* 1/4 (* (/ (* x (sqrt 2)) (pow t 4)) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (pow t 6)) (sqrt z)))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt z)))> |
#<alt (* -1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt z)))> |
#<alt (* -1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt z)))> |
#<alt (* -1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt z)))> |
#<alt (* -1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt z)))> |
#<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) (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 (* 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 (* 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 1/8> |
#<alt (+ 1/8 (* 1/48 (pow t 2)))> |
#<alt (+ 1/8 (* 1/48 (pow t 2)))> |
#<alt (+ 1/8 (* 1/48 (pow t 2)))> |
#<alt (* 1/48 (pow t 2))> |
#<alt (* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))> |
#<alt (* 1/48 (pow t 2))> |
#<alt (* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/8 (pow t 2)))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))> |
#<alt (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))> |
#<alt (* 1/48 (pow t 4))> |
#<alt (* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))> |
#<alt (* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))> |
#<alt (* 1/48 (pow t 4))> |
#<alt (* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2)))))> |
#<alt (* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))> |
#<alt (* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2))))))> |
132 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 53.0ms | t | @ | inf | (* (- (* x 1/2) y) (sqrt (* 2 (* z (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1))))) |
| 5.0ms | z | @ | 0 | (* (* (* 1/2 x) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)) 1)) |
| 2.0ms | y | @ | -inf | (* y (+ (* 1/2 (/ x y)) -1)) |
| 2.0ms | x | @ | 0 | (* (* (* 1/2 x) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2)) 1)) |
| 1.0ms | z | @ | 0 | (* (- (* x 1/2) y) (sqrt (* 2 (* z (+ (* (* t t) (+ (* (* t t) (+ (* (* t t) 1/6) 1/2)) 1)) 1))))) |
| 1× | batch-egg-rewrite |
| 5 856× | lower-fma.f32 |
| 5 840× | lower-fma.f64 |
| 4 260× | lower-*.f32 |
| 4 228× | lower-*.f64 |
| 3 722× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 228 |
| 0 | 79 | 226 |
| 1 | 310 | 226 |
| 2 | 2257 | 226 |
| 0 | 8216 | 220 |
| 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 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) |
(*.f64 t t) |
(*.f64 (neg.f64 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 (*.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 #s(literal 1/2 binary64) x) (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 z #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) x) |
(sqrt.f64 (*.f64 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 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(*.f64 z #s(literal 2 binary64)) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
(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)) |
| Outputs |
|---|
(+.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) z))))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) z))))) |
(fma.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) 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 (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) 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 (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 y (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/110592 binary64)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) (pow.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64)))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64)))) (-.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64))))) #s(literal 3 binary64)) (*.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64))))) (*.f64 (*.f64 t t) #s(literal 1/8 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))) (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64))))))) |
(*.f64 (fma.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))) |
| 1× | egg-herbie |
| 10 370× | lower-fma.f64 |
| 10 370× | lower-fma.f32 |
| 9 194× | lower-*.f64 |
| 9 194× | lower-*.f32 |
| 2 246× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 382 | 8400 |
| 1 | 1338 | 7787 |
| 2 | 5201 | 7171 |
| 0 | 8324 | 6731 |
| 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)))) |
(* -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)))) |
(* (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))))))))) |
(* (* (pow t 3) (* (sqrt 1/6) (sqrt 2))) (sqrt z)) |
(* (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)))))) |
(* -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)))) (* (sqrt z) (* (sqrt 1/6) (sqrt 2))))))) |
(* -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)))))))) |
(* -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))) |
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(* (* 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)) |
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(* -1 (* (* y (sqrt 2)) (sqrt z))) |
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(* -1 (* (* y (sqrt 2)) (sqrt z))) |
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(* -1 (* (* y (sqrt 2)) (sqrt z))) |
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(* -1 (* (* y (sqrt 2)) (sqrt z))) |
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(* (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)) |
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(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
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(* -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) |
(* -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 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* -1/2 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* -1/2 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* -1/2 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z)))) |
(* -1/2 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))) |
(* (pow t 2) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/2 (* (* y (sqrt 2)) (sqrt z))))) |
(* (pow t 2) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/2 (* (* y (sqrt 2)) (sqrt z))))) |
(* (pow t 2) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/2 (* (* y (sqrt 2)) (sqrt z))))) |
(* -1/2 (* (* (pow t 2) (* y (sqrt 2))) (sqrt z))) |
(* (pow t 2) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/2 (* (* y (sqrt 2)) (sqrt z))))) |
(* (pow t 2) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/2 (* (* y (sqrt 2)) (sqrt z))))) |
(* (pow t 2) (+ (* -1 (* (/ (* y (sqrt 2)) (pow t 2)) (sqrt z))) (* -1/2 (* (* y (sqrt 2)) (sqrt z))))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (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 (* (* 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 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* (* y (* (sqrt -2) (* (sqrt -1) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z)) |
(* (* y (* (sqrt -2) (* (sqrt -1) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z)) |
(* (* y (* (sqrt -2) (* (sqrt -1) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z)) |
(* (* y (* (sqrt -2) (* (sqrt -1) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z)) |
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)))) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(* -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)) |
(* 1/2 x) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(* -1 y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 y) |
(+ (* -1 y) (* 1/2 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 (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* (* y (sqrt 2)) (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))))) |
(* (* y (* (sqrt 2) (- (* 1/2 (/ x y)) 1))) (sqrt z)) |
(* (* y (* (sqrt 2) (- (* 1/2 (/ x y)) 1))) (sqrt z)) |
(* (* y (* (sqrt 2) (- (* 1/2 (/ x y)) 1))) (sqrt z)) |
(* (* y (* (sqrt 2) (- (* 1/2 (/ x y)) 1))) (sqrt z)) |
(* (* y (* (sqrt 2) (- (* 1/2 (/ x y)) 1))) (sqrt z)) |
(* (* y (* (sqrt 2) (- (* 1/2 (/ x y)) 1))) (sqrt z)) |
(* (* y (* (sqrt 2) (- (* 1/2 (/ x y)) 1))) (sqrt z)) |
(* (* y (* (sqrt 2) (- (* 1/2 (/ x y)) 1))) (sqrt z)) |
(* -1 (* (* y (* (sqrt -2) (* (sqrt -1) (- (* 1/2 (/ x y)) 1)))) (sqrt z))) |
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(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
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(+ (* -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))))) |
(* (* y (* (sqrt 2) (- (* 1/2 (/ x y)) 1))) (sqrt z)) |
(* (* y (* (sqrt 2) (- (* 1/2 (/ x y)) 1))) (sqrt z)) |
(* (* y (* (sqrt 2) (- (* 1/2 (/ x y)) 1))) (sqrt z)) |
(* (* y (* (sqrt 2) (- (* 1/2 (/ x y)) 1))) (sqrt z)) |
(* (* y (* (sqrt 2) (- (* 1/2 (/ x y)) 1))) (sqrt z)) |
(* (* y (* (sqrt 2) (- (* 1/2 (/ x y)) 1))) (sqrt z)) |
(* (* y (* (sqrt 2) (- (* 1/2 (/ x y)) 1))) (sqrt z)) |
(* (* y (* (sqrt 2) (- (* 1/2 (/ x y)) 1))) (sqrt z)) |
(* -1 (* (* y (* (sqrt -2) (* (sqrt -1) (- (* 1/2 (/ x y)) 1)))) (sqrt z))) |
(* -1 (* (* y (* (sqrt -2) (* (sqrt -1) (- (* 1/2 (/ x y)) 1)))) (sqrt z))) |
(* -1 (* (* y (* (sqrt -2) (* (sqrt -1) (- (* 1/2 (/ x y)) 1)))) (sqrt z))) |
(* -1 (* (* y (* (sqrt -2) (* (sqrt -1) (- (* 1/2 (/ x y)) 1)))) (sqrt z))) |
-1 |
(- (* 1/2 (/ x y)) 1) |
(- (* 1/2 (/ x y)) 1) |
(- (* 1/2 (/ x y)) 1) |
(* 1/2 (/ x y)) |
(* x (- (* 1/2 (/ 1 y)) (/ 1 x))) |
(* x (- (* 1/2 (/ 1 y)) (/ 1 x))) |
(* x (- (* 1/2 (/ 1 y)) (/ 1 x))) |
(* 1/2 (/ x y)) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 y))))) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 y))))) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 y))))) |
(* 1/2 (/ x y)) |
(/ (+ (* -1 y) (* 1/2 x)) y) |
(/ (+ (* -1 y) (* 1/2 x)) y) |
(/ (+ (* -1 y) (* 1/2 x)) y) |
-1 |
(- (* 1/2 (/ x y)) 1) |
(- (* 1/2 (/ x y)) 1) |
(- (* 1/2 (/ x y)) 1) |
-1 |
(- (* 1/2 (/ x y)) 1) |
(- (* 1/2 (/ x y)) 1) |
(- (* 1/2 (/ x y)) 1) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))))) (sqrt z))) |
(* -1/2 (* (* x (* (sqrt -2) (* (sqrt -1) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (sqrt z))) |
(* -1/2 (* (* x (* (sqrt -2) (* (sqrt -1) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (sqrt z))) |
(* -1/2 (* (* x (* (sqrt -2) (* (sqrt -1) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (sqrt z))) |
(* -1/2 (* (* x (* (sqrt -2) (* (sqrt -1) (+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))))))) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(+ (* 1/4 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* 1/16 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z))) (* 1/4 (* (* x (sqrt 2)) (sqrt z)))))) |
(+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* 1/4 (* (* x (sqrt 2)) (sqrt z))) (* (pow t 2) (+ (* 1/96 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z))) (* 1/16 (* (* x (sqrt 2)) (sqrt z)))))))) |
(* 1/96 (* (* (pow t 6) (* x (sqrt 2))) (sqrt z))) |
(* (pow t 6) (+ (* 1/96 (* (* x (sqrt 2)) (sqrt z))) (* 1/16 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z))))) |
(* (pow t 6) (+ (* 1/96 (* (* x (sqrt 2)) (sqrt z))) (+ (* 1/16 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z))) (* 1/4 (* (/ (* x (sqrt 2)) (pow t 4)) (sqrt z)))))) |
(* (pow t 6) (+ (* 1/96 (* (* x (sqrt 2)) (sqrt z))) (+ (* 1/16 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z))) (+ (* 1/4 (* (/ (* x (sqrt 2)) (pow t 4)) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (pow t 6)) (sqrt z))))))) |
(* 1/96 (* (* (pow t 6) (* x (sqrt 2))) (sqrt z))) |
(* (pow t 6) (+ (* 1/96 (* (* x (sqrt 2)) (sqrt z))) (* 1/16 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z))))) |
(* (pow t 6) (+ (* 1/96 (* (* x (sqrt 2)) (sqrt z))) (+ (* 1/16 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z))) (* 1/4 (* (/ (* x (sqrt 2)) (pow t 4)) (sqrt z)))))) |
(* (pow t 6) (+ (* 1/96 (* (* x (sqrt 2)) (sqrt z))) (+ (* 1/16 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z))) (+ (* 1/4 (* (/ (* x (sqrt 2)) (pow t 4)) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (pow t 6)) (sqrt z))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* -1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt z))) |
(* -1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt z))) |
(* -1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt z))) |
(* -1/2 (* (* x (* (sqrt -2) (sqrt -1))) (sqrt z))) |
(* 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) (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)))) |
(* 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))))) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
1/8 |
(+ 1/8 (* 1/48 (pow t 2))) |
(+ 1/8 (* 1/48 (pow t 2))) |
(+ 1/8 (* 1/48 (pow t 2))) |
(* 1/48 (pow t 2)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* 1/48 (pow t 2)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
1/2 |
(+ 1/2 (* 1/8 (pow t 2))) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
(* 1/48 (pow t 4)) |
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(* 1/48 (pow t 4)) |
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
| Outputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))))) |
(*.f64 y (*.f64 (sqrt.f64 (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z)) (neg.f64 (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 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) 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 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) 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 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) 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 (sqrt.f64 (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (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 (*.f64 (sqrt.f64 (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t 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 #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))) (neg.f64 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 (*.f64 (sqrt.f64 (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t 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 #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))) (neg.f64 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 (*.f64 (sqrt.f64 (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t 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 #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))) (neg.f64 x)) |
(* 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 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (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 (*.f64 (sqrt.f64 (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t 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 #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))) (neg.f64 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 (*.f64 (sqrt.f64 (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t 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 #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))) (neg.f64 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 (*.f64 (sqrt.f64 (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t 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 #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))) (neg.f64 x)) |
(* 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 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(+ (* -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 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) 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 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) 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 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) 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))))))))))) |
(*.f64 y (*.f64 (sqrt.f64 (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(* 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))))))))))))) |
(*.f64 y (*.f64 (sqrt.f64 (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t 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 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(* 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))))))))))))) |
(*.f64 y (*.f64 (sqrt.f64 (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t 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 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(* 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))))))))))))) |
(*.f64 y (*.f64 (sqrt.f64 (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t 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 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (neg.f64 (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))))))))))) |
(*.f64 y (*.f64 (sqrt.f64 (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(* -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))))) |
(*.f64 y (*.f64 (sqrt.f64 (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t 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 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(* -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))))) |
(*.f64 y (*.f64 (sqrt.f64 (fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t 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 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(* -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))))) |
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(* (sqrt (* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2))))))))) (* (sqrt 2) (- (* 1/2 x) y))) |
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(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) z) |
(* z (+ 1 (* (pow t 2) (+ 1 (* (pow t 2) (+ 1/2 (* 1/6 (pow t 2)))))))) |
(fma.f64 (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 z (*.f64 t t)) 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 z (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) z) z) |
(+ z (* (pow t 2) (+ z (* (pow t 2) (+ (* 1/6 (* (pow t 2) z)) (* 1/2 z)))))) |
(fma.f64 (*.f64 t t) (fma.f64 z (*.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) z) z) |
(* 1/6 (* (pow t 6) z)) |
(*.f64 z (*.f64 #s(literal 1/6 binary64) (pow.f64 t #s(literal 6 binary64)))) |
(* (pow t 6) (+ (* 1/6 z) (* 1/2 (/ z (pow t 2))))) |
(*.f64 (pow.f64 t #s(literal 6 binary64)) (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))))) |
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (/ z (pow t 4))))) |
(*.f64 (pow.f64 t #s(literal 6 binary64)) (fma.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 z (*.f64 (*.f64 t t) (*.f64 t t))))) |
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (+ (/ z (pow t 4)) (/ z (pow t 6)))))) |
(*.f64 (pow.f64 t #s(literal 6 binary64)) (+.f64 (fma.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 z (*.f64 (*.f64 t t) (*.f64 t t)))) (/.f64 z (pow.f64 t #s(literal 6 binary64))))) |
(* 1/6 (* (pow t 6) z)) |
(*.f64 z (*.f64 #s(literal 1/6 binary64) (pow.f64 t #s(literal 6 binary64)))) |
(* (pow t 6) (+ (* 1/6 z) (* 1/2 (/ z (pow t 2))))) |
(*.f64 (pow.f64 t #s(literal 6 binary64)) (*.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))))) |
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (/ z (pow t 4))))) |
(*.f64 (pow.f64 t #s(literal 6 binary64)) (fma.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 z (*.f64 (*.f64 t t) (*.f64 t t))))) |
(* (pow t 6) (+ (* 1/6 z) (+ (* 1/2 (/ z (pow t 2))) (+ (/ z (pow t 4)) (/ z (pow t 6)))))) |
(*.f64 (pow.f64 t #s(literal 6 binary64)) (+.f64 (fma.f64 z (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 z (*.f64 (*.f64 t t) (*.f64 t t)))) (/.f64 z (pow.f64 t #s(literal 6 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/6 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/6 binary64)) |
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2))))) |
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2))))) |
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2))))) |
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 1/6 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/6 binary64)) |
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2))))) |
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2))))) |
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* (pow t 2) (+ 1/6 (* 1/2 (/ 1 (pow t 2))))) |
(fma.f64 (*.f64 t t) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(* 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) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* 1/48 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
(+ 1/8 (* 1/48 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
(+ 1/8 (* 1/48 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
(* 1/48 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/48 binary64)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
(* 1/48 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/48 binary64)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/8 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
(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)) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
(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)) |
(* 1/48 (pow t 4)) |
(*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/48 binary64))) |
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t)))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))))) |
(* 1/48 (pow t 4)) |
(*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/48 binary64))) |
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 t t)))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 #s(literal 1/48 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t)))))) |
Compiled 36 951 to 2 696 computations (92.7% saved)
47 alts after pruning (45 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 290 | 17 | 1 307 |
| Fresh | 6 | 28 | 34 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 299 | 47 | 1 346 |
| Status | Accuracy | Program |
|---|---|---|
| 95.1% | (fma.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 z) t) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))))) | |
| 94.7% | (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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z))) | |
| 60.3% | (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64)))) | |
| 60.4% | (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 60.5% | (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) | |
| 59.9% | (*.f64 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| ✓ | 50.4% | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
| 31.6% | (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (neg.f64 y)) | |
| 91.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) | |
| 85.7% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) | |
| 60.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 95.9% | (*.f64 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) | |
| 51.6% | (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) | |
| 51.5% | (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) | |
| 13.8% | (*.f64 (*.f64 (/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 93.2% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 62.2% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (/.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) | |
| 96.0% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64)))) #s(literal 1 binary64))) | |
| 88.3% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| 60.3% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| 51.5% | (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) | |
| 27.7% | (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 57.1% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 34.3% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (/.f64 (fma.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) | |
| 59.7% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/48 binary64))) #s(literal 1 binary64))) | |
| 51.9% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| 32.4% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 58.5% | (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x)) | |
| 31.5% | (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) | |
| 50.3% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) y)) (fma.f64 (*.f64 t t) #s(literal -1/2 binary64) #s(literal -1 binary64))) | |
| 51.8% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) | |
| 32.3% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) | |
| 51.4% | (*.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| 57.1% | (*.f64 (*.f64 (neg.f64 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))) | |
| 31.5% | (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| 31.5% | (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) | |
| 27.7% | (*.f64 (*.f64 t t) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)))) | |
| 32.3% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) | |
| 60.5% | (*.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)))))) | |
| 26.8% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y))) | |
| 51.6% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y))) | |
| ✓ | 31.7% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
| 85.5% | (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| 86.3% | (*.f64 (sqrt.f64 z) (*.f64 x (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) | |
| 51.5% | (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) | |
| 59.0% | (*.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)))))) | |
| 60.9% | (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
Compiled 2 467 to 988 computations (60% 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 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.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 (*.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 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.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 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (/.f64 (*.f64 y (neg.f64 y)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 t t) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)))) |
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) y)) (fma.f64 (*.f64 t t) #s(literal -1/2 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 (neg.f64 y) (*.f64 (sqrt.f64 z) (*.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 (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.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 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64))) (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 (*.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 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.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 (neg.f64 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 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (neg.f64 (*.f64 y y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/48 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) (fma.f64 x #s(literal -1/2 binary64) (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) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.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 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (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 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 x (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 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 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) |
(*.f64 (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 #s(literal 2 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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z))) |
(fma.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 z) t) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (/.f64 (fma.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (/.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 t t) (*.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 (*.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 z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (*.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)) |
(/.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 #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #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 (fma.f64 x #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))))) |
(*.f64 (*.f64 (*.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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (neg.f64 y)) |
(*.f64 (*.f64 (neg.f64 y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (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:
| 45.0ms | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 42.0ms | y |
| 32.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 31.0ms | z |
| 27.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | t |
| 99.8% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 99.8% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 99.8% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 99.8% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 99.8% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 99.8% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.8% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 99.8% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 99.8% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (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 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.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 (*.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 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.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 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (/.f64 (*.f64 y (neg.f64 y)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 t t) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)))) |
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) y)) (fma.f64 (*.f64 t t) #s(literal -1/2 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 (neg.f64 y) (*.f64 (sqrt.f64 z) (*.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 (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.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 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64))) (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 (*.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 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.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 (neg.f64 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 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (neg.f64 (*.f64 y y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/48 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) (fma.f64 x #s(literal -1/2 binary64) (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) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.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 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (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 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 x (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 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 (*.f64 (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) |
(*.f64 (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 x)) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 y (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 #s(literal 2 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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z))) |
(fma.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 (sqrt.f64 z) t) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (/.f64 (fma.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (/.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t #s(literal 1/48 binary64)) #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 t t) (*.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)))))) |
13 calls:
| 46.0ms | y |
| 41.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 28.0ms | t |
| 26.0ms | z |
| 23.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 1 | x |
| 96.9% | 1 | y |
| 96.9% | 1 | z |
| 96.9% | 1 | t |
| 96.9% | 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)))) |
| 96.9% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 96.9% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 96.9% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 96.9% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 96.9% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 96.9% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 96.9% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 96.9% | 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 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.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 (*.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 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.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 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (/.f64 (*.f64 y (neg.f64 y)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 t t) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)))) |
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) y)) (fma.f64 (*.f64 t t) #s(literal -1/2 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 (neg.f64 y) (*.f64 (sqrt.f64 z) (*.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 (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.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 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64))) (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 (*.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 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.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 (neg.f64 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 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (neg.f64 (*.f64 y y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/48 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) (fma.f64 x #s(literal -1/2 binary64) (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) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.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 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (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 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 x (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 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:
| 879.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 845.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 23.0ms | (*.f64 z #s(literal 2 binary64)) |
| 20.0ms | x |
| 19.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 1 | x |
| 96.2% | 1 | y |
| 96.2% | 1 | z |
| 96.2% | 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)))) |
| 96.2% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 96.2% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 96.2% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 96.2% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 96.2% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 96.2% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 96.2% | 1 | t |
| 96.2% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 96.2% | 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 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.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 (*.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 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.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 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (/.f64 (*.f64 y (neg.f64 y)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 t t) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)))) |
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) y)) (fma.f64 (*.f64 t t) #s(literal -1/2 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 (neg.f64 y) (*.f64 (sqrt.f64 z) (*.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 (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.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 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64))) (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 (*.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 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.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 (neg.f64 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 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (neg.f64 (*.f64 y y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/48 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) (fma.f64 x #s(literal -1/2 binary64) (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) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.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 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (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 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 x (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 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) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 binary64)))) #s(literal 1 binary64))) |
13 calls:
| 28.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 26.0ms | (*.f64 z #s(literal 2 binary64)) |
| 24.0ms | x |
| 20.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 20.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 1 | y |
| 96.0% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 96.0% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 96.0% | 1 | x |
| 96.0% | 1 | z |
| 96.0% | 1 | t |
| 96.0% | 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)))) |
| 96.0% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 96.0% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 96.0% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 96.0% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 96.0% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 96.0% | 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 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.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 (*.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 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.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 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (/.f64 (*.f64 y (neg.f64 y)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 t t) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)))) |
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) y)) (fma.f64 (*.f64 t t) #s(literal -1/2 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 (neg.f64 y) (*.f64 (sqrt.f64 z) (*.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 (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.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 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64))) (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 (*.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 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.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 (neg.f64 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 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (neg.f64 (*.f64 y y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/48 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) (fma.f64 x #s(literal -1/2 binary64) (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) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.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 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (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 (sqrt.f64 z) (fma.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 x)) |
| 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:
| 203.0ms | x |
| 27.0ms | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 20.0ms | (*.f64 t t) |
| 17.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 17.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.2% | 1 | x |
| 93.2% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 93.2% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 93.2% | 1 | y |
| 93.2% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 93.2% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 93.2% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 93.2% | 1 | z |
| 93.2% | 1 | t |
| 93.2% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 93.2% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 93.2% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 93.2% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (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 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.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 (*.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 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.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 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (/.f64 (*.f64 y (neg.f64 y)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 t t) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)))) |
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) y)) (fma.f64 (*.f64 t t) #s(literal -1/2 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 (neg.f64 y) (*.f64 (sqrt.f64 z) (*.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 (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.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 (neg.f64 (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 0 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
13 calls:
| 44.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 15.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 14.0ms | t |
| 14.0ms | (*.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)))) |
| 14.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 91.6% | 1 | x |
| 91.6% | 1 | y |
| 91.6% | 1 | t |
| 91.6% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 91.6% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 91.6% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 91.6% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 91.6% | 1 | (*.f64 t t) |
| 91.6% | 1 | z |
| 91.6% | 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)))) |
| 91.6% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 91.6% | 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 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.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 (*.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 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.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 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (/.f64 (*.f64 y (neg.f64 y)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 t t) (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)))) |
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) y)) (fma.f64 (*.f64 t t) #s(literal -1/2 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 (neg.f64 y) (*.f64 (sqrt.f64 z) (*.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 (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
(*.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))) |
13 calls:
| 29.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 19.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 17.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 14.0ms | t |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.3% | 1 | y |
| 88.3% | 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)))) |
| 88.3% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 88.3% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 88.3% | 1 | x |
| 88.3% | 1 | z |
| 88.3% | 1 | t |
| 88.3% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 88.3% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 88.3% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 88.3% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 88.3% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 88.3% | 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 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.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 (*.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 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 z (*.f64 t t) z)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.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 (fma.f64 x (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (/.f64 (*.f64 y (neg.f64 y)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) 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)))) |
13 calls:
| 52.0ms | t |
| 35.0ms | y |
| 21.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 17.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 10.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.7% | 1 | y |
| 85.7% | 1 | t |
| 85.7% | 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)))) |
| 85.7% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 85.7% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 85.7% | 1 | (*.f64 t t) |
| 85.7% | 1 | x |
| 85.7% | 1 | z |
| 85.7% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 85.7% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 85.7% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 85.7% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 85.7% | 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 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.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 (*.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 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) |
13 calls:
| 42.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 17.0ms | z |
| 10.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 8.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 7.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.4% | 3 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 62.3% | 2 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 67.6% | 3 | x |
| 74.1% | 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)))) |
| 67.6% | 3 | (*.f64 x #s(literal 1/2 binary64)) |
| 64.3% | 2 | z |
| 77.2% | 2 | t |
| 64.3% | 2 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 64.3% | 2 | (*.f64 z #s(literal 2 binary64)) |
| 77.1% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 77.2% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 77.2% | 2 | (*.f64 t t) |
| 66.4% | 3 | y |
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 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.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 (*.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 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y))) |
(*.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 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y))) |
3 calls:
| 8.0ms | (*.f64 t t) |
| 7.0ms | t |
| 5.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.2% | 2 | t |
| 77.2% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 77.2% | 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 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.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 (*.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 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (-.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) z))) |
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
4 calls:
| 22.0ms | t |
| 5.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 5.0ms | (*.f64 t t) |
| 4.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.0% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 76.1% | 2 | t |
| 76.1% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 76.1% | 2 | (*.f64 t 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 (neg.f64 y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.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 (*.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))) |
13 calls:
| 7.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 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)))) |
| 6.0ms | y |
| 5.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 5.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.6% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 60.6% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 60.6% | 1 | z |
| 60.6% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 60.6% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 60.6% | 1 | y |
| 60.6% | 1 | x |
| 60.6% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 60.6% | 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)))) |
| 60.6% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 60.6% | 1 | t |
| 60.6% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 60.6% | 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:
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | t |
| 2.0ms | y |
| 2.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 31.7% | 1 | z |
| 31.7% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 31.7% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 31.7% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 31.7% | 1 | (*.f64 t t) |
| 31.7% | 1 | t |
| 31.7% | 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)))) |
| 31.7% | 1 | x |
| 31.7% | 1 | y |
| 31.7% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 31.7% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 31.7% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 31.7% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 112 to 88 computations (21.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 5.2982111008960855e+51 | 6.43225537327542e+55 |
| 10.0ms | 128× | 0 | valid |
Compiled 280 to 230 computations (17.9% saved)
ival-mult: 3.0ms (50% of total)ival-sub: 1.0ms (16.7% of total)ival-div: 1.0ms (16.7% of total)ival-exp: 1.0ms (16.7% of total)ival-sqrt: 1.0ms (16.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 5.2982111008960855e+51 | 6.43225537327542e+55 |
| 11.0ms | 128× | 0 | valid |
Compiled 280 to 230 computations (17.9% saved)
ival-mult: 4.0ms (53.9% of total)ival-sub: 1.0ms (13.5% of total)ival-div: 1.0ms (13.5% of total)ival-exp: 1.0ms (13.5% of total)ival-sqrt: 1.0ms (13.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 5.2982111008960855e+51 | 6.43225537327542e+55 |
| 9.0ms | 128× | 0 | valid |
Compiled 272 to 222 computations (18.4% saved)
ival-mult: 3.0ms (49.4% of total)ival-sub: 1.0ms (16.5% of total)ival-div: 1.0ms (16.5% of total)ival-exp: 1.0ms (16.5% of total)ival-sqrt: 1.0ms (16.5% 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 |
| 92× | *-commutative_binary64 |
| 30× | neg-sub0_binary64 |
| 30× | neg-mul-1_binary64 |
| 28× | +-commutative_binary64 |
| 28× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 274 |
| 1 | 124 | 274 |
| 2 | 160 | 274 |
| 3 | 187 | 274 |
| 4 | 205 | 274 |
| 5 | 217 | 274 |
| 6 | 224 | 274 |
| 7 | 228 | 274 |
| 8 | 229 | 274 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(*.f64 (-.f64 (*.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) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 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 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (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) (fma.f64 z (*.f64 t t) z)))) |
(if (<=.f64 (*.f64 t t) #s(literal 61999999999999998728992900508074775882189404821111439360 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))) |
(if (<=.f64 (*.f64 t t) #s(literal 79999999999999999457675893948930238116936675355525120 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) z)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)))) |
(if (<=.f64 (*.f64 t t) #s(literal 31999999999999999783070357579572095246774670142210048 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) 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)))))) |
(*.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) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 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) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/48 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))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (fma.f64 (*.f64 t t) (*.f64 z (fma.f64 t t #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (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) (fma.f64 z (*.f64 t t) z)))) |
(if (<=.f64 (*.f64 t t) #s(literal 61999999999999998728992900508074775882189404821111439360 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))) |
(if (<=.f64 (*.f64 t t) #s(literal 79999999999999999457675893948930238116936675355525120 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) z)) (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) y)))) |
(if (<=.f64 (*.f64 t t) #s(literal 79999999999999999457675893948930238116936675355525120 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) z)) (neg.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 t t) #s(literal 31999999999999999783070357579572095246774670142210048 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(if (<=.f64 (*.f64 t t) #s(literal 31999999999999999783070357579572095246774670142210048 binary64)) (*.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) (*.f64 t t)) (*.f64 (sqrt.f64 (*.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) z))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
| 18 894× | lower-fma.f64 |
| 18 894× | lower-fma.f32 |
| 14 562× | lower-fma.f64 |
| 14 562× | lower-fma.f32 |
| 14 486× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 188 |
| 0 | 69 | 184 |
| 1 | 231 | 180 |
| 2 | 1519 | 180 |
| 0 | 8634 | 179 |
| 0 | 36 | 257 |
| 0 | 66 | 253 |
| 1 | 215 | 251 |
| 2 | 1297 | 251 |
| 0 | 8331 | 250 |
| 0 | 614 | 13749 |
| 1 | 2130 | 12450 |
| 2 | 5243 | 12048 |
| 0 | 9076 | 11503 |
| 0 | 15 | 47 |
| 0 | 24 | 45 |
| 1 | 63 | 44 |
| 2 | 285 | 44 |
| 3 | 2343 | 44 |
| 0 | 8616 | 44 |
| 0 | 41 | 228 |
| 0 | 79 | 226 |
| 1 | 310 | 226 |
| 2 | 2257 | 226 |
| 0 | 8216 | 220 |
| 0 | 330 | 7707 |
| 1 | 1130 | 6863 |
| 2 | 4283 | 6458 |
| 0 | 8161 | 6215 |
| 0 | 136 | 2147 |
| 1 | 454 | 1668 |
| 2 | 1580 | 1575 |
| 3 | 4468 | 1572 |
| 0 | 8848 | 1560 |
| 0 | 382 | 8400 |
| 1 | 1338 | 7787 |
| 2 | 5201 | 7171 |
| 0 | 8324 | 6731 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 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 |
Compiled 928 to 521 computations (43.9% saved)
(abs t)
Compiled 834 to 344 computations (58.8% saved)
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