
Time bar (total: 39.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 6 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 7 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 8 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 9 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 10 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 11 |
| 80% | 49.9% | 12.5% | 0.2% | 0% | 37.4% | 0% | 12 |
Compiled 19 to 17 computations (10.5% saved)
| 9.3s | 1 973× | 0 | invalid |
| 5.5s | 8 256× | 0 | valid |
ival-div: 9.1s (63.3% of total)ival-exp: 4.2s (29.6% of total)ival-mult: 849.0ms (5.9% of total)ival-sqrt: 90.0ms (0.6% of total)ival-sub: 69.0ms (0.5% of total)exact: 10.0ms (0.1% of total)ival-true: 7.0ms (0% of total)ival-assert: 4.0ms (0% of total)| 1× | egg-herbie |
| 1 466× | times-frac |
| 1 444× | unsub-neg |
| 1 344× | lower-fma.f64 |
| 1 344× | lower-fma.f32 |
| 934× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 232 |
| 1 | 192 | 226 |
| 2 | 495 | 224 |
| 3 | 1536 | 224 |
| 4 | 4035 | 224 |
| 5 | 6477 | 224 |
| 0 | 15 | 17 |
| 0 | 24 | 16 |
| 1 | 36 | 16 |
| 2 | 58 | 16 |
| 3 | 115 | 16 |
| 4 | 246 | 16 |
| 5 | 375 | 16 |
| 6 | 507 | 16 |
| 7 | 817 | 16 |
| 8 | 1505 | 16 |
| 9 | 1943 | 16 |
| 10 | 2083 | 16 |
| 11 | 2101 | 16 |
| 12 | 2101 | 16 |
| 13 | 2121 | 16 |
| 14 | 2129 | 16 |
| 15 | 2129 | 16 |
| 0 | 2129 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (sqrt.f64 (exp.f64 (*.f64 t t))))) |
(abs t)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 256 | 0 | - | 256 | (-3.307945558588386e+279 2.6245917759296113e-273 7.402405031651465e-233 3.654484024762221e+56) | (*.f64 x #s(literal 1/2 binary64)) |
| 256 | 0 | - | 256 | (-3.307945558588386e+279 2.6245917759296113e-273 7.402405031651465e-233 3.654484024762221e+56) | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 256 | 0 | - | 255 | (-3.307945558588386e+279 2.6245917759296113e-273 7.402405031651465e-233 3.654484024762221e+56) | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 256 | 0 | - | 256 | (-3.307945558588386e+279 2.6245917759296113e-273 7.402405031651465e-233 3.654484024762221e+56) | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 256 | 0 | - | 254 | (-3.307945558588386e+279 2.6245917759296113e-273 7.402405031651465e-233 3.654484024762221e+56) | (*.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)))) |
| 178 | 0 | - | 178 | (-3.307945558588386e+279 2.6245917759296113e-273 7.402405031651465e-233 3.654484024762221e+56) | (*.f64 t t) |
| 178 | 0 | - | 178 | (-3.307945558588386e+279 2.6245917759296113e-273 7.402405031651465e-233 3.654484024762221e+56) | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | u*o | 2 | 0 |
| ↳ | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | underflow | 3 | |
| ↳ | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) | overflow | 132 | |
| ↳ | (/.f64 (*.f64 t t) #s(literal 2 binary64)) | overflow | 78 | |
| ↳ | (*.f64 t t) | overflow | 78 | |
sqrt.f64 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) | oflow-rescue | 1 | 0 |
| ↳ | (*.f64 z #s(literal 2 binary64)) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2 | 0 |
| - | 1 | 253 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2 | 0 | 0 |
| - | 1 | 0 | 253 |
| number | freq |
|---|---|
| 0 | 253 |
| 1 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 93.0ms | 512× | 0 | valid |
Compiled 236 to 79 computations (66.5% saved)
ival-mult: 29.0ms (66.4% of total)ival-exp: 4.0ms (9.2% of total)ival-sqrt: 4.0ms (9.2% of total)ival-sub: 3.0ms (6.9% of total)ival-div: 3.0ms (6.9% of total)exact: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.0% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
Compiled 21 to 15 computations (28.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 64 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 1 344× | lower-fma.f64 |
| 1 344× | lower-fma.f32 |
| 922× | lower-*.f32 |
| 912× | lower-*.f64 |
| 418× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 62 |
| 0 | 24 | 60 |
| 1 | 36 | 60 |
| 2 | 58 | 60 |
| 3 | 115 | 60 |
| 4 | 246 | 60 |
| 5 | 375 | 60 |
| 6 | 507 | 60 |
| 7 | 817 | 60 |
| 8 | 1505 | 60 |
| 9 | 1943 | 60 |
| 10 | 2083 | 60 |
| 11 | 2101 | 60 |
| 12 | 2101 | 60 |
| 13 | 2121 | 60 |
| 14 | 2129 | 60 |
| 15 | 2129 | 60 |
| 0 | 2129 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
t |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (sqrt.f64 (exp.f64 (*.f64 t t))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal -1/2 binary64) y))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(sqrt.f64 (exp.f64 (*.f64 t t))) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 3.4% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 3.4% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 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)))) |
| ✓ | accuracy | 2.3% | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 188.0ms | 256× | 0 | valid |
Compiled 130 to 32 computations (75.4% saved)
ival-mult: 74.0ms (42.5% of total)ival-exp: 67.0ms (38.5% of total)ival-sqrt: 30.0ms (17.2% of total)ival-div: 2.0ms (1.1% of total)ival-sub: 1.0ms (0.6% 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 x #s(literal 1/2 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 6))) (sqrt 2))) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))))> |
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z)))> |
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2))))))> |
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2))))))> |
#<alt (* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2))))))> |
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 7))) (sqrt 2))) (sqrt z)))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 7))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 7))) (sqrt 2))) x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 7))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 7))) (sqrt 2))) x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 7))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 7))) (sqrt 2))) x) (sqrt z)))))> |
#<alt (* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))))> |
#<alt (+ (* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))))> |
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z)))> |
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) y) (sqrt z)))))> |
#<alt (* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z)))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2))))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2))))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2))))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))> |
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))> |
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))> |
#<alt (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (+ (* 1/2 (* (* (pow t 6) (* (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 6) (+ (* 1/8 (* (* (pow t 6) (* (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 6) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 6) (+ (* 1/48 (* (* (pow t 6) (* (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 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 76.0ms | z | @ | 0 | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
| 2.0ms | z | @ | -inf | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
| 2.0ms | t | @ | 0 | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
| 2.0ms | z | @ | inf | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
| 2.0ms | x | @ | 0 | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) |
Compiled 502 to 386 computations (23.1% saved)
| 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 | 41 |
| 0 | 24 | 39 |
| 1 | 63 | 38 |
| 2 | 285 | 38 |
| 3 | 2343 | 38 |
| 0 | 8616 | 38 |
| 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 x #s(literal 1/2 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)) |
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(/.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))))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)))))) (neg.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (fma.f64 (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) (neg.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/512 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y)))) (pow.f64 (neg.f64 (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 (neg.f64 (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 y (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 y (*.f64 x #s(literal 1/2 binary64))) (-.f64 y (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 y y (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64)) y)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (neg.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))))) |
(*.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) |
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))))) (fma.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y))))) (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y y)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/512 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) |
(exp.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 1/2 binary64)))) |
(*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 x))) |
| 1× | egg-herbie |
| 19 476× | lower-fma.f64 |
| 19 476× | lower-fma.f32 |
| 6 770× | lower-*.f64 |
| 6 770× | lower-*.f32 |
| 5 036× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 1891 |
| 1 | 511 | 1739 |
| 2 | 1703 | 1598 |
| 3 | 4403 | 1502 |
| 0 | 8694 | 1484 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(exp (* 1/2 (pow t 2))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z)))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2)))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 7))) (sqrt 2))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 7))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 7))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 7))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 7))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 7))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 7))) (sqrt 2))) x) (sqrt z))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) y) (sqrt z))))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2)))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 6))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 6))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 6))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 6))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 6) (* (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 6) (+ (* 1/8 (* (* (pow t 6) (* (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 6) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 6) (+ (* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 x) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* 1/2 x) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* -1 y) (* 1/2 x)) |
(* -1 y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
x |
x |
x |
x |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| 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 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(exp (* 1/2 (pow t 2))) |
(exp.f64 (*.f64 #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 6))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (sqrt.f64 z)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2)))))) |
(*.f64 x (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (sqrt.f64 z))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2)))))) |
(*.f64 x (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (sqrt.f64 z))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2)))))) |
(*.f64 x (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (sqrt.f64 z))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 7))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 7))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 7))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 x (*.f64 (sqrt.f64 z) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 7 binary64))))) (+.f64 #s(literal -1/2 binary64) (/.f64 y x)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 7))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 7))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 x (*.f64 (sqrt.f64 z) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 7 binary64))))) (+.f64 #s(literal -1/2 binary64) (/.f64 y x)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 7))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 7))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 x (*.f64 (sqrt.f64 z) (neg.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 7 binary64))))) (+.f64 #s(literal -1/2 binary64) (/.f64 y x)))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (sqrt.f64 z)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) y) (sqrt z))))) |
(*.f64 y (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (sqrt.f64 z))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) y) (sqrt z))))) |
(*.f64 y (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (sqrt.f64 z))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) y) (sqrt z))))) |
(*.f64 y (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (sqrt.f64 z))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(* -1 (* (* y (* (exp (* 1/2 (pow t 6))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (sqrt.f64 z)) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2)))))) |
(*.f64 y (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (sqrt.f64 z))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2)))))) |
(*.f64 y (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (sqrt.f64 z))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 6))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 6))) (sqrt 2)))))) |
(*.f64 y (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (sqrt.f64 z))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 6))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 6))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 6))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 6))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 8 binary64))))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 8 binary64))))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 8 binary64))))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 8 binary64))))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 8 binary64)))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 8 binary64)))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 8 binary64)))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 8))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 8 binary64)))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* 1/2 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 6) (+ (* 1/8 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(fma.f64 (pow.f64 t #s(literal 6 binary64)) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 6) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 6) (+ (* 1/48 (* (* (pow t 6) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (fma.f64 #s(literal 1/48 binary64) (pow.f64 t #s(literal 6 binary64)) #s(literal 1/8 binary64))) (pow.f64 t #s(literal 12 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (sqrt.f64 z) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 (sqrt.f64 z) y))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (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 (*.f64 #s(literal 1/2 binary64) x) y) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* -1 (* x (- (/ y x) 1/2))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* -1 (* x (- (/ y x) 1/2))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* -1 (* x (- (/ y x) 1/2))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(+ (* -1 y) (* 1/2 x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(+ (* -1 y) (* 1/2 x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(+ (* -1 y) (* 1/2 x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* y (- (* 1/2 (/ x y)) 1)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
x |
x |
x |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
Compiled 19 955 to 1 674 computations (91.6% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 521 | 14 | 535 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 522 | 14 | 536 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
| 63.8% | (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| 63.8% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| 71.8% | (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) | |
| 71.8% | (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) | |
| ▶ | 99.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
| ▶ | 92.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| 95.3% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| 85.8% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) | |
| ▶ | 56.4% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| ▶ | 98.9% | (*.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 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 55.9% | (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
Compiled 782 to 480 computations (38.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
| ✓ | 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 z)) |
| ✓ | cost-diff | 0 | (*.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))))) |
| ✓ | 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) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | cost-diff | 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)))))) |
| 15 086× | lower-fma.f32 |
| 15 082× | lower-fma.f64 |
| 3 944× | lower-*.f32 |
| 3 920× | lower-*.f64 |
| 3 362× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 325 |
| 0 | 56 | 319 |
| 1 | 103 | 319 |
| 2 | 249 | 319 |
| 3 | 903 | 319 |
| 4 | 2564 | 319 |
| 5 | 6065 | 319 |
| 0 | 8124 | 319 |
| 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 (*.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 (-.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) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
(fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
(*.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 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 |
(sqrt.f64 z) |
z |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))) |
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) |
#s(literal 2 binary64) |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
#s(literal 2 binary64) |
(*.f64 z (exp.f64 (*.f64 t t))) |
z |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
| 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 z (*.f64 #s(literal 2 binary64) (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))))) |
(sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(*.f64 z (*.f64 #s(literal 2 binary64) (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)) |
(neg.f64 (*.f64 (fma.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)))) |
(neg.f64 (*.f64 (fma.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 (*.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 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(neg.f64 (*.f64 (fma.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) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
(fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
(*.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 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) |
(*.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 |
(sqrt.f64 z) |
z |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))) |
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) |
#s(literal 2 binary64) |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
(sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))) |
(*.f64 z (*.f64 #s(literal 2 binary64) (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 |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 53.1% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
| ✓ | accuracy | 53.0% | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
| ✓ | accuracy | 52.9% | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | accuracy | 52.8% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 52.9% | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | accuracy | 52.9% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))) |
| ✓ | accuracy | 52.9% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) |
| ✓ | accuracy | 52.8% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 52.9% | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | accuracy | 52.9% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 52.8% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 52.7% | (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 53.0% | (*.f64 z #s(literal 2 binary64)) |
| ✓ | accuracy | 52.9% | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | accuracy | 52.9% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 52.8% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 53.3% | (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) |
| ✓ | accuracy | 52.9% | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | accuracy | 52.8% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 52.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
| 35.0ms | 131× | 0 | exit |
| 30.0ms | 125× | 0 | valid |
Compiled 661 to 66 computations (90% saved)
ival-mult: 19.0ms (53.9% of total)ival-sqrt: 6.0ms (17% of total)ival-div: 4.0ms (11.3% of total)ival-add: 2.0ms (5.7% of total)ival-exp: 2.0ms (5.7% of total)ival-sub: 1.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (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 (*.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)))> |
#<alt (*.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)))))> |
#<alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))))> |
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))> |
#<alt (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))> |
#<alt (sqrt.f64 (*.f64 z #s(literal 2 binary64)))> |
#<alt (*.f64 z #s(literal 2 binary64))> |
#<alt (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64))> |
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))> |
| Outputs |
|---|
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4)))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5))))))))> |
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#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ x (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 5))))))) (* -1/4 (* (/ (pow x 2) (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 5)))))))) y)) (* (sqrt (/ 1 (* z (exp (pow t 5))))) (/ 1 (sqrt 2)))) y))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (/ (pow x 3) (* y (sqrt 2))) (sqrt (/ 1 (* z (exp (pow t 5))))))) (* 1/4 (* (/ (pow x 2) (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 5)))))))) y)) (* -1/2 (* (/ x (sqrt 2)) (sqrt (/ 1 (* z (exp (pow t 5)))))))) y)) (* (sqrt (/ 1 (* z (exp (pow t 5))))) (/ 1 (sqrt 2)))) y))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 5))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 5))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 5))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 5))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 4))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 4))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 4))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 4))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 4))))) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 4))))) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 4))))) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 4))))) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (+ (* -1/2 (* (/ (pow t 5) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt (/ 1 z)))) (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))))> |
#<alt (+ (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 5) (+ (* -1/2 (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))) (* 1/8 (* (/ (pow t 5) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt (/ 1 z)))))))> |
#<alt (+ (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 5) (+ (* -1/2 (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))) (* (pow t 5) (+ (* -1/48 (* (/ (pow t 5) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt (/ 1 z)))) (* 1/8 (* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))))))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<alt (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (* (sqrt 2) (- (* 1/2 x) y))))> |
#<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))> |
#<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 z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/8 (pow t 3)))> |
#<alt (+ 1/2 (* 1/8 (pow t 3)))> |
#<alt (+ 1/2 (* 1/8 (pow t 3)))> |
#<alt (* 1/8 (pow t 4))> |
#<alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 4)))))> |
#<alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 4)))))> |
#<alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 4)))))> |
#<alt (* 1/8 (pow t 4))> |
#<alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 4)))))> |
#<alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 4)))))> |
#<alt (* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 4)))))> |
#<alt (sqrt 2)> |
#<alt (+ (sqrt 2) (* 1/2 (* t (sqrt 2))))> |
#<alt (+ (sqrt 2) (* t (+ (* 1/8 (* t (sqrt 2))) (* 1/2 (sqrt 2)))))> |
#<alt (+ (sqrt 2) (* t (+ (* 1/2 (sqrt 2)) (* t (+ (* 1/48 (* t (sqrt 2))) (* 1/8 (sqrt 2)))))))> |
#<alt (* (sqrt (exp (pow t 2))) (sqrt 2))> |
#<alt (* (sqrt (exp (pow t 2))) (sqrt 2))> |
#<alt (* (sqrt (exp (pow t 2))) (sqrt 2))> |
#<alt (* (sqrt (exp (pow t 2))) (sqrt 2))> |
#<alt (* (sqrt (exp (pow t 2))) (sqrt 2))> |
#<alt (* (sqrt (exp (pow t 2))) (sqrt 2))> |
#<alt (* (sqrt (exp (pow t 2))) (sqrt 2))> |
#<alt (* (sqrt (exp (pow t 2))) (sqrt 2))> |
120 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | t | @ | 0 | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) 1/8) 1/2)) 1)) |
| 5.0ms | x | @ | 0 | (* (- (* x 1/2) y) (sqrt (* 2 (* z (exp (* t t)))))) |
| 4.0ms | x | @ | -inf | (/ (/ 1 (- (* x 1/2) y)) (sqrt (* 2 (* z (exp (* t t)))))) |
| 3.0ms | y | @ | -inf | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) 1/8) 1/2)) 1)) |
| 3.0ms | z | @ | -inf | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* (* t t) (+ (* (* t t) 1/8) 1/2)) 1)) |
Compiled 2 119 to 1 612 computations (23.9% saved)
| 1× | batch-egg-rewrite |
| 10 734× | lower-fma.f32 |
| 10 730× | lower-fma.f64 |
| 7 404× | lower-*.f32 |
| 7 380× | lower-*.f64 |
| 3 018× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 163 |
| 0 | 56 | 156 |
| 1 | 173 | 155 |
| 2 | 1026 | 155 |
| 0 | 8677 | 154 |
| 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 (*.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 (*.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 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
(fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))) |
| 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 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (neg.f64 (*.f64 y (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(+.f64 (neg.f64 (*.f64 y (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (*.f64 x (*.f64 #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 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))) (neg.f64 (*.f64 y (sqrt.f64 z))))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) #s(literal -1 binary64)) (*.f64 x #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 y (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (sqrt.f64 z) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) |
(+.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) #s(literal -1 binary64))) (*.f64 y (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal -1/2 binary64) y))))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) #s(literal 1/2 binary64)) (*.f64 (log.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal -1/2 binary64) y))) |
(-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (fma.f64 x #s(literal -1/2 binary64) y))) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (neg.f64 (*.f64 y (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (neg.f64 (*.f64 y (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 (*.f64 y (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(fma.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (*.f64 x #s(literal 1/2 binary64)) (*.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 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (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 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))) |
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 y))) |
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))) (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 (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))) (*.f64 (sqrt.f64 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 (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))) (neg.f64 (*.f64 y (sqrt.f64 z))))) |
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(*.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))))) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.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))) |
(*.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 (fma.f64 x #s(literal 1/2 binary64) y) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (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))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 z #s(literal 1/4 binary64))) (pow.f64 z #s(literal 1/4 binary64))) |
(*.f64 #s(literal 2 binary64) z) |
(*.f64 z #s(literal 2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t #s(literal 1/8 binary64)))) |
(+.f64 (*.f64 t (*.f64 t #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) #s(literal -1/8 binary64)))) (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) #s(literal -1/8 binary64))))) |
(fma.f64 t (*.f64 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)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))) |
(fma.f64 (*.f64 t #s(literal 1/8 binary64)) t #s(literal 1/2 binary64)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64)) (neg.f64 (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 t t) #s(literal -1/16 binary64)))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 t t) #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64))) (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 t t) #s(literal -1/16 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal -1/4 binary64))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (-.f64 (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/16 binary64)))) (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) #s(literal -1/8 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 t t) #s(literal -1/16 binary64)))) |
(/.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (-.f64 (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/16 binary64))))) |
(/.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal -1/4 binary64)) (fma.f64 t (*.f64 t #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)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 t t) #s(literal -1/16 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (-.f64 (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/16 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal -1/4 binary64))) (fma.f64 (*.f64 t t) #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) #s(literal 1/64 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) #s(literal -1/8 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 t t) #s(literal -1/16 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 (*.f64 t t) #s(literal -1/8 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) #s(literal -1/8 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64))) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 t t) #s(literal -1/16 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 t (*.f64 t #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)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 t t) #s(literal -1/16 binary64))))) |
(*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (-.f64 (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/16 binary64)))))) |
(*.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 t t) #s(literal -1/16 binary64)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 t (*.f64 t t)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/512 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 t t) #s(literal -1/16 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) #s(literal 1/64 binary64)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #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) #s(literal 1/64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) #s(literal -1/8 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))) #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64))) |
| 1× | egg-herbie |
| 8 888× | lower-fma.f64 |
| 8 888× | lower-fma.f32 |
| 8 196× | lower-*.f64 |
| 8 196× | lower-*.f32 |
| 2 552× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 670 | 9883 |
| 1 | 2099 | 8599 |
| 2 | 7001 | 8321 |
| 0 | 8183 | 8051 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
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x |
x |
x |
x |
(* -1 x) |
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(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* 1/8 (pow t 5))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* 1/8 (pow t 5)))))))))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* 1/8 (pow t 5))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* 1/8 (pow t 5)))))))))) |
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(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 6) (+ 1/2 (* 1/8 (pow t 6)))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 6) (+ 1/2 (* 1/8 (pow t 6))))))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 6) (+ 1/2 (* 1/8 (pow t 6)))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 6) (+ 1/2 (* 1/8 (pow t 6))))))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 6) (+ 1/2 (* 1/8 (pow t 6)))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 6) (+ 1/2 (* 1/8 (pow t 6))))))) x) (sqrt z))))) |
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(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* 1/8 (pow t 5)))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* 1/8 (pow t 5))))))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* 1/8 (pow t 5)))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* 1/8 (pow t 5))))))) y) (sqrt z))))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* 1/8 (pow t 5))))))) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* 1/8 (pow t 5))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* 1/8 (pow t 5)))))))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* 1/8 (pow t 5))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* 1/8 (pow t 5)))))))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* 1/8 (pow t 5))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* 1/8 (pow t 5)))))))))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 5) (+ 1/2 (* 1/8 (pow t 5))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 5) (+ 1/2 (* 1/8 (pow t 5))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 5) (+ 1/2 (* 1/8 (pow t 5))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 5) (+ 1/2 (* 1/8 (pow t 5))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 7) (+ 1/2 (* 1/8 (pow t 7))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 7) (+ 1/2 (* 1/8 (pow t 7))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 7) (+ 1/2 (* 1/8 (pow t 7))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 7) (+ 1/2 (* 1/8 (pow t 7))))) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 9) (+ 1/2 (* 1/8 (pow t 9))))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 9) (+ 1/2 (* 1/8 (pow t 9))))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 9) (+ 1/2 (* 1/8 (pow t 9))))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 9) (+ 1/2 (* 1/8 (pow t 9))))) (- (* 1/2 x) y)))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
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(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 5) (+ (* 1/8 (* (* (pow t 5) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(* 1/8 (* (* (pow t 9) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* (pow t 9) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))) |
(* (pow t 9) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 9)) (sqrt z))))) |
(* (pow t 9) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 9)) (sqrt z))))) |
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(* -1 (* (pow t 9) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z)))))) |
(* -1 (* (pow t 9) (+ (* -1 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 9)) (sqrt z))) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))))) |
(* -1 (* (pow t 9) (+ (* -1 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 9)) (sqrt z))) (+ (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 4)) (sqrt z))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) |
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(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))))) |
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(* (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) |
z |
z |
z |
z |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
1/2 |
(+ 1/2 (* 1/8 (pow t 3))) |
(+ 1/2 (* 1/8 (pow t 3))) |
(+ 1/2 (* 1/8 (pow t 3))) |
(* 1/8 (pow t 4)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 4))))) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 4))))) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 4))))) |
(* 1/8 (pow t 4)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 4))))) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 4))))) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 4))))) |
(sqrt 2) |
(+ (sqrt 2) (* 1/2 (* t (sqrt 2)))) |
(+ (sqrt 2) (* t (+ (* 1/8 (* t (sqrt 2))) (* 1/2 (sqrt 2))))) |
(+ (sqrt 2) (* t (+ (* 1/2 (sqrt 2)) (* t (+ (* 1/48 (* t (sqrt 2))) (* 1/8 (sqrt 2))))))) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
| Outputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))))) |
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))))) |
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))))) |
(*.f64 x (-.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))))) (neg.f64 x)) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 4)))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 x y)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 4)))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 x y)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 4)))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 x y)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.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 4)))))) (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 x y)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 4)))))) (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 x y)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 4)))))) (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 x y)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* (sqrt (* z (exp (pow t 4)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt (* z (exp (pow t 4)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt (* z (exp (pow t 4)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt (* z (exp (pow t 4)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt (* z (exp (pow t 4)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt (* z (exp (pow t 4)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt (* z (exp (pow t 4)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* (sqrt (* z (exp (pow t 4)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(* -1 (* (sqrt (* z (exp (pow t 4)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt (* z (exp (pow t 4)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt (* z (exp (pow t 4)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* (sqrt (* z (exp (pow t 4)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z))) |
(+ (* 1/2 (* (* (pow t 4) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 4) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 z #s(literal 1/4 binary64)))) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 4) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 4) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 4) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 z (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 z #s(literal 1/6 binary64) (*.f64 #s(literal -1/8 binary64) z))) (*.f64 (*.f64 t t) (*.f64 t t))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 (*.f64 z (exp.f64 (*.f64 t t))))) |
(* -1 y) |
(neg.f64 y) |
(- (* 1/2 x) y) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(- (* 1/2 x) y) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(- (* 1/2 x) y) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 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)))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* -1 (* x (- (/ y x) 1/2))) |
(neg.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(* -1 (* x (- (/ y x) 1/2))) |
(neg.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(* -1 (* x (- (/ y x) 1/2))) |
(neg.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(+ (* -1 y) (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(+ (* -1 y) (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(+ (* -1 y) (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* 1/2 (/ x y)) 1)) |
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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) y)) 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 (*.f64 x (*.f64 x x)) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) y)) y)) (neg.f64 y)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 z))) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
z |
z |
z |
z |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/8 (pow t 3))) |
(fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/8 (pow t 3))) |
(fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/8 (pow t 3))) |
(fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(* 1/8 (pow t 4)) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/8 binary64)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 4))))) |
(fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 4))))) |
(fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 4))))) |
(fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(* 1/8 (pow t 4)) |
(*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/8 binary64)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 4))))) |
(fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 4))))) |
(fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 4))))) |
(fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* 1/2 (* t (sqrt 2)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* t (+ (* 1/8 (* t (sqrt 2))) (* 1/2 (sqrt 2))))) |
(fma.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) t #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* t (+ (* 1/2 (sqrt 2)) (* t (+ (* 1/48 (* t (sqrt 2))) (* 1/8 (sqrt 2))))))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/48 binary64) t #s(literal 1/8 binary64))))) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 t t)))) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 t t)))) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 t t)))) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 t t)))) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 t t)))) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 t t)))) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 t t)))) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 t t)))) |
Compiled 76 631 to 4 179 computations (94.5% saved)
34 alts after pruning (34 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 702 | 33 | 2 735 |
| Fresh | 8 | 1 | 9 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 715 | 34 | 2 749 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
| 56.1% | (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) | |
| ▶ | 19.4% | (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
| ▶ | 55.6% | (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) |
| ▶ | 56.4% | (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
| 66.8% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) | |
| 70.7% | (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) | |
| 47.9% | (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 55.9% | (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) | |
| 93.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| 86.5% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)) (sqrt.f64 #s(literal 2 binary64))))) | |
| 55.9% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) | |
| 56.4% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 94.5% | (*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 95.0% | (*.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) (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 94.5% | (*.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 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) | |
| 85.8% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| 95.3% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| 98.8% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) | |
| 56.0% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| 55.9% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) | |
| 57.3% | (*.f64 (*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 x y) #s(literal -1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 61.6% | (*.f64 (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 55.0% | (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 55.0% | (*.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) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 26.9% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 26.5% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) | |
| 61.6% | (*.f64 (*.f64 (neg.f64 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))) | |
| ▶ | 32.9% | (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| 32.4% | (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) | |
| 63.3% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) | |
| 93.7% | (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))) | |
| 66.9% | (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) | |
| 55.6% | (*.f64 (neg.f64 x) (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z))))) |
Compiled 1 516 to 1 048 computations (30.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) |
| ✓ | cost-diff | 64 | (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) |
| ✓ | cost-diff | 1728 | (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 2 binary64) z) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
| ✓ | cost-diff | 960 | (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
| ✓ | 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 | (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) |
| ✓ | 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 | (fma.f64 x #s(literal -1/2 binary64) y) |
| ✓ | cost-diff | 960 | (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
| 10 472× | lower-fma.f32 |
| 10 462× | lower-fma.f64 |
| 3 984× | lower-*.f32 |
| 3 954× | lower-*.f64 |
| 1 430× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 320 |
| 0 | 79 | 291 |
| 1 | 147 | 291 |
| 2 | 319 | 289 |
| 3 | 855 | 289 |
| 4 | 2439 | 288 |
| 5 | 4664 | 288 |
| 0 | 8170 | 286 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(fma.f64 x #s(literal -1/2 binary64) y) |
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 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)) |
#s(literal -1 binary64) |
(fma.f64 x #s(literal -1/2 binary64) y) |
x |
#s(literal -1/2 binary64) |
y |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) |
(fma.f64 x #s(literal 1/2 binary64) y) |
x |
#s(literal 1/2 binary64) |
y |
(fma.f64 x #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
(fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)) |
(neg.f64 y) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.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)))) |
#s(literal 1/8 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(neg.f64 (*.f64 y (*.f64 y y))) |
(*.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 x #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) |
(fma.f64 x #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(fma.f64 x #s(literal -1/2 binary64) y) |
x |
#s(literal -1/2 binary64) |
y |
(/.f64 #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 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)) |
#s(literal -1 binary64) |
(fma.f64 x #s(literal -1/2 binary64) y) |
x |
#s(literal -1/2 binary64) |
y |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (*.f64 y y))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (*.f64 y y)) |
(fma.f64 x #s(literal 1/2 binary64) y) |
x |
#s(literal 1/2 binary64) |
y |
(fma.f64 x #s(literal -1/2 binary64) y) |
#s(literal -1/2 binary64) |
(fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)) |
(-.f64 (*.f64 x #s(literal -1/2 binary64)) y) |
(neg.f64 y) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 y (*.f64 y (neg.f64 y)) (*.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x x))))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 y (*.f64 y (neg.f64 y)) (*.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x x))))) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))) |
(fma.f64 y (*.f64 y (neg.f64 y)) (*.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
#s(literal 1/8 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(neg.f64 (*.f64 y (*.f64 y y))) |
(*.f64 y (*.f64 y y)) |
y |
(*.f64 y y) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 x #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) |
(fma.f64 x #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 52.7% | (*.f64 x x) |
| ✓ | accuracy | 52.7% | (fma.f64 x #s(literal 1/2 binary64) y) |
| ✓ | accuracy | 52.5% | (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
| ✓ | accuracy | 52.0% | (*.f64 y y) |
| ✓ | accuracy | 52.8% | (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)) |
| ✓ | accuracy | 52.7% | (fma.f64 x #s(literal 1/2 binary64) y) |
| ✓ | accuracy | 52.6% | (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) |
| ✓ | accuracy | 52.6% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) |
| ✓ | accuracy | 53.5% | (*.f64 #s(literal 2 binary64) z) |
| ✓ | accuracy | 53.0% | (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)) |
| ✓ | accuracy | 52.9% | (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
| ✓ | accuracy | 52.9% | (fma.f64 x #s(literal -1/2 binary64) y) |
| ✓ | accuracy | 53.1% | (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
| ✓ | accuracy | 53.1% | (*.f64 z #s(literal 2 binary64)) |
| ✓ | accuracy | 53.0% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 52.2% | (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| ✓ | accuracy | 53.3% | (*.f64 t t) |
| ✓ | accuracy | 53.0% | (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
| ✓ | accuracy | 52.9% | (fma.f64 x #s(literal -1/2 binary64) y) |
| ✓ | accuracy | 51.9% | (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) |
| 44.0ms | 131× | 0 | exit |
| 37.0ms | 125× | 0 | valid |
Compiled 670 to 92 computations (86.3% saved)
ival-mult: 28.0ms (53.9% of total)ival-div: 8.0ms (15.4% of total)ival-add: 5.0ms (9.6% of total)ival-sqrt: 5.0ms (9.6% of total)ival-exp: 2.0ms (3.8% of total)ival-neg: 2.0ms (3.8% of total)exact: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))> |
#<alt (fma.f64 x #s(literal -1/2 binary64) y)> |
#<alt (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.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 (*.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 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)))> |
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) z))> |
#<alt (*.f64 #s(literal 2 binary64) z)> |
#<alt (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))> |
#<alt (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)))> |
#<alt (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))> |
#<alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)))> |
#<alt (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))> |
#<alt (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))> |
#<alt (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y))))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (*.f64 t t)> |
#<alt (*.f64 z #s(literal 2 binary64))> |
#<alt (fma.f64 x #s(literal 1/2 binary64) y)> |
#<alt (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))> |
#<alt (*.f64 y y)> |
#<alt (*.f64 x x)> |
| Outputs |
|---|
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5)))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5))))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5))))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5)))))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 5))))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 5))))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 5))))))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5))))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 5)))))) (* (sqrt (* z (exp (pow t 5)))) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 5)))))) (* (sqrt (* z (exp (pow t 5)))) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 5)))))) (* (sqrt (* z (exp (pow t 5)))) (sqrt 2)))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x)))))> |
#<alt (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) (* -1/2 (* (* (pow t 5) (* (sqrt 2) (+ y (* -1/2 x)))) (sqrt z))))> |
#<alt (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) (* (pow t 5) (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) (* -1/2 (* (* (pow t 5) (* (sqrt 2) (* (+ y (* -1/2 x)) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z)))))))> |
#<alt (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) (* (pow t 5) (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) (* (pow t 5) (+ (* -1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (+ y (* -1/2 x)) (- (* 1/2 z) (* 1/4 z)))))) (* -1/2 (* (* (pow t 5) (* (sqrt 2) (* (+ y (* -1/2 x)) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z))))))) (sqrt (/ 1 z)))))))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (+ y (* -1/2 x)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (+ y (* -1/2 x)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (+ y (* -1/2 x)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (+ y (* -1/2 x)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (+ y (* -1/2 x)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (+ y (* -1/2 x)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (+ y (* -1/2 x)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (+ y (* -1/2 x)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 5)))) (* (sqrt 2) (+ y (* -1/2 x)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 5)))) (* (sqrt 2) (+ y (* -1/2 x)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 5)))) (* (sqrt 2) (+ y (* -1/2 x)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 5)))) (* (sqrt 2) (+ y (* -1/2 x)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 5)))) (* (sqrt 2) (+ y (* -1/2 x)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 5)))) (* (sqrt 2) (+ y (* -1/2 x)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 5)))) (* (sqrt 2) (+ y (* -1/2 x)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 5)))) (* (sqrt 2) (+ y (* -1/2 x)))))> |
#<alt (* (sqrt (* z (exp (pow t 5)))) (* (sqrt -2) (* (sqrt -1) (+ y (* -1/2 x)))))> |
#<alt (* (sqrt (* z (exp (pow t 5)))) (* (sqrt -2) (* (sqrt -1) (+ y (* -1/2 x)))))> |
#<alt (* (sqrt (* z (exp (pow t 5)))) (* (sqrt -2) (* (sqrt -1) (+ y (* -1/2 x)))))> |
#<alt (* (sqrt (* z (exp (pow t 5)))) (* (sqrt -2) (* (sqrt -1) (+ y (* -1/2 x)))))> |
#<alt y> |
#<alt (+ y (* -1/2 x))> |
#<alt (+ y (* -1/2 x))> |
#<alt (+ y (* -1/2 x))> |
#<alt (* -1/2 x)> |
#<alt (* x (- (/ y x) 1/2))> |
#<alt (* x (- (/ y x) 1/2))> |
#<alt (* x (- (/ y x) 1/2))> |
#<alt (* -1/2 x)> |
#<alt (* -1 (* x (+ 1/2 (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ 1/2 (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ 1/2 (* -1 (/ y x)))))> |
#<alt (* -1/2 x)> |
#<alt (+ y (* -1/2 x))> |
#<alt (+ y (* -1/2 x))> |
#<alt (+ y (* -1/2 x))> |
#<alt y> |
#<alt (* y (+ 1 (* -1/2 (/ x y))))> |
#<alt (* y (+ 1 (* -1/2 (/ x y))))> |
#<alt (* y (+ 1 (* -1/2 (/ x y))))> |
#<alt y> |
#<alt (* -1 (* y (- (* 1/2 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* 1/2 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* 1/2 (/ x y)) 1)))> |
#<alt (* -1 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* 1/2 (* (/ (pow t 4) (sqrt 2)) (sqrt (/ 1 z)))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* (pow t 4) (+ (* -1/8 (* (/ (pow t 4) (sqrt 2)) (sqrt (/ 1 z)))) (* 1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))))))> |
#<alt (+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* (pow t 4) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* (pow t 4) (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* 1/48 (* (/ (pow t 4) (sqrt 2)) (sqrt (/ 1 z)))))))))> |
#<alt (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))))> |
#<alt (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))))> |
#<alt (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))))> |
#<alt (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))))> |
#<alt (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))))> |
#<alt (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))))> |
#<alt (* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2))))> |
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#<alt (+ (* -1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/2 x))))> |
#<alt (+ (* -1/4 (pow x 2)) (* y (+ y (+ (* -1/2 x) (* 1/2 x)))))> |
#<alt (+ (* -1/4 (pow x 2)) (* y (+ y (+ (* -1/2 x) (* 1/2 x)))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (+ (* -1/2 (/ x y)) (* 1/2 (/ x y)))))> |
#<alt (* (pow y 2) (+ 1 (+ (* -1/2 (/ x y)) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))))> |
#<alt (* (pow y 2) (+ 1 (+ (* -1/2 (/ x y)) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/2 x) (* 1/2 x)) y))))> |
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/2 x) (+ (* 1/4 (/ (pow x 2) y)) (* 1/2 x))) y))))> |
#<alt (* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/2 x) (+ (* 1/4 (/ (pow x 2) y)) (* 1/2 x))) y))))> |
#<alt (* (sqrt z) (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))))> |
#<alt (* (sqrt z) (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))))> |
#<alt (* (sqrt z) (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))))> |
#<alt (* (sqrt z) (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))))> |
#<alt (* (sqrt z) (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))))> |
#<alt (* (sqrt z) (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))))> |
#<alt (* (sqrt z) (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))))> |
#<alt (* (sqrt z) (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))))))> |
#<alt (* (* (pow y 2) (sqrt 2)) (sqrt z))> |
#<alt (+ (* (* x (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y)))) (sqrt z)) (* (* (pow y 2) (sqrt 2)) (sqrt z)))> |
#<alt (+ (* x (+ (* -1/4 (* (* x (sqrt 2)) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y)))))) (* (* (pow y 2) (sqrt 2)) (sqrt z)))> |
#<alt (+ (* x (+ (* -1/4 (* (* x (sqrt 2)) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y)))))) (* (* (pow y 2) (sqrt 2)) (sqrt z)))> |
#<alt (* -1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))> |
#<alt (* (pow x 2) (+ (* -1/4 (* (sqrt z) (sqrt 2))) (* (/ (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y))) x) (sqrt z))))> |
#<alt (* (pow x 2) (+ (* -1/4 (* (sqrt z) (sqrt 2))) (+ (* (/ (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y))) x) (sqrt z)) (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z)))))> |
#<alt (* (pow x 2) (+ (* -1/4 (* (sqrt z) (sqrt 2))) (+ (* (/ (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y))) x) (sqrt z)) (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z)))))> |
#<alt (* -1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))> |
#<alt (* (pow x 2) (+ (* -1 (* (/ (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y))) x) (sqrt z))) (* -1/4 (* (sqrt z) (sqrt 2)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y))))) x)) (* -1/4 (* (sqrt z) (sqrt 2)))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y))))) x)) (* -1/4 (* (sqrt z) (sqrt 2)))))> |
#<alt (* -1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))) (* (* y (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x)))) (sqrt z)))> |
#<alt (+ (* -1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))) (* y (+ (* (sqrt z) (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x)))) (* (* y (sqrt 2)) (sqrt z)))))> |
#<alt (+ (* -1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))) (* y (+ (* (sqrt z) (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x)))) (* (* y (sqrt 2)) (sqrt z)))))> |
#<alt (* (* (pow y 2) (sqrt 2)) (sqrt z))> |
#<alt (* (pow y 2) (+ (* (sqrt z) (sqrt 2)) (* (/ (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) y) (sqrt z))))> |
#<alt (* (pow y 2) (+ (* -1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))) (+ (* (sqrt z) (sqrt 2)) (* (/ (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) y) (sqrt z)))))> |
#<alt (* (pow y 2) (+ (* -1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))) (+ (* (sqrt z) (sqrt 2)) (* (/ (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) y) (sqrt z)))))> |
#<alt (* (* (pow y 2) (sqrt 2)) (sqrt z))> |
#<alt (* (pow y 2) (+ (* -1 (* (/ (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) y) (sqrt z))) (* (sqrt z) (sqrt 2))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))))) y)) (* (sqrt z) (sqrt 2))))> |
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))))) y)) (* (sqrt z) (sqrt 2))))> |
#<alt (* -1 (* (* (pow y 5) (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1 (* (* (pow y 5) (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (* (pow y 4) (sqrt 2))) (sqrt z))))> |
#<alt (+ (* -1 (* (* (pow y 5) (sqrt 2)) (sqrt z))) (* x (+ (* -1/4 (* (* x (* (pow y 3) (sqrt 2))) (sqrt z))) (* 1/2 (* (* (pow y 4) (sqrt 2)) (sqrt z))))))> |
#<alt (+ (* -1 (* (* (pow y 5) (sqrt 2)) (sqrt z))) (* x (+ (* 1/2 (* (* (pow y 4) (sqrt 2)) (sqrt z))) (* x (+ (* -1/4 (* (* (pow y 3) (sqrt 2)) (sqrt z))) (* 1/8 (* (* x (* (pow y 2) (sqrt 2))) (sqrt z))))))))> |
#<alt (* 1/2 (* (* (pow x 4) (sqrt 2)) (sqrt z)))> |
#<alt (* (pow x 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow x 3)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* (pow x 4) (+ (* -2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 4)) (sqrt z))) (+ (* -1 (* (/ (* y (sqrt 2)) (pow x 3)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))))> |
#<alt (* (pow x 4) (+ (* -2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 4)) (sqrt z))) (+ (* -1 (* (/ (* y (sqrt 2)) (pow x 3)) (sqrt z))) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 6)) (sqrt z)))))))> |
#<alt (* -1/2 (* (* (pow x 4) (sqrt 2)) (sqrt z)))> |
#<alt (* (pow x 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow x 4)) (sqrt z))) (* -1/2 (* (sqrt z) (sqrt 2)))))> |
#<alt (* (pow x 4) (+ (* -2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 5)) (sqrt z))) (+ (* -1 (* (/ (* y (sqrt 2)) (pow x 4)) (sqrt z))) (* -1/2 (* (sqrt z) (sqrt 2))))))> |
#<alt (* (pow x 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow x 4)) (sqrt z))) (+ (* -1 (/ (+ (* 2 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 3)) (sqrt z)))) (pow x 5))) (* -1/2 (* (sqrt z) (sqrt 2))))))> |
#<alt (* 1/2 (* (* (pow x 3) (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* (pow x 3) (sqrt 2)) (sqrt z))))> |
#<alt (+ (* 1/2 (* (* (pow x 3) (sqrt 2)) (sqrt z))) (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* -1 (* (* y (+ (* -2 (/ (sqrt 2) (pow x 3))) (* 2 (/ (sqrt 2) x)))) (sqrt z))))))> |
#<alt (+ (* 1/2 (* (* (pow x 3) (sqrt 2)) (sqrt z))) (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* y (+ (* -1 (* (sqrt z) (+ (* -2 (/ (sqrt 2) (pow x 3))) (* 2 (/ (sqrt 2) x))))) (* -1 (* (* y (+ (* -4 (/ (sqrt 2) (pow x 4))) (* -2 (/ (+ (* -2 (/ (sqrt 2) (pow x 3))) (* 2 (/ (sqrt 2) x))) (pow x 3))))) (sqrt z))))))))> |
#<alt (* -1 (* (* (pow y 3) (sqrt 2)) (sqrt z)))> |
#<alt (* (pow y 3) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) (pow y 3)) (sqrt z)))))> |
#<alt (* (pow y 3) (+ (* -1 (* (sqrt z) (sqrt 2))) (+ (* 1/4 (* (/ (* (pow x 4) (sqrt 2)) (pow y 4)) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (pow y 3)) (sqrt z))))))> |
#<alt (* (pow y 3) (+ (* -1 (* (sqrt z) (sqrt 2))) (+ (* -1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 6)) (sqrt z))) (+ (* 1/4 (* (/ (* (pow x 4) (sqrt 2)) (pow y 4)) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (pow y 3)) (sqrt z)))))))> |
#<alt (* -1 (* (* (pow y 5) (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* (pow y 5) (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ (+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* (/ (+ (* -1/4 (* (pow x 2) (sqrt 2))) (* 1/4 (* (pow x 4) (sqrt 2)))) y) (sqrt z))) y)) (* (sqrt z) (sqrt 2)))))> |
#<alt (* -1 (* (pow y 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt z) (+ (* -1/4 (* (pow x 2) (sqrt 2))) (* 1/4 (* (pow x 4) (sqrt 2)))))) (* (/ (+ (* 1/8 (* (pow x 5) (sqrt 2))) (* 1/2 (* x (+ (* -1/4 (* (pow x 2) (sqrt 2))) (* 1/4 (* (pow x 4) (sqrt 2))))))) y) (sqrt z))) y)) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) y)) (* (sqrt z) (sqrt 2)))))> |
#<alt (* (sqrt z) (/ (* (sqrt 2) (- (* 1/8 (pow x 7)) (pow y 7))) (+ (* 1/4 (pow x 4)) (* y (+ y (* 1/2 x))))))> |
#<alt (* (sqrt z) (/ (* (sqrt 2) (- (* 1/8 (pow x 7)) (pow y 7))) (+ (* 1/4 (pow x 4)) (* y (+ y (* 1/2 x))))))> |
#<alt (* (sqrt z) (/ (* (sqrt 2) (- (* 1/8 (pow x 7)) (pow y 7))) (+ (* 1/4 (pow x 4)) (* y (+ y (* 1/2 x))))))> |
#<alt (* (sqrt z) (/ (* (sqrt 2) (- (* 1/8 (pow x 7)) (pow y 7))) (+ (* 1/4 (pow x 4)) (* y (+ y (* 1/2 x))))))> |
#<alt (* (sqrt z) (/ (* (sqrt 2) (- (* 1/8 (pow x 9)) (pow y 9))) (+ (* 1/4 (pow x 6)) (* y (+ y (* 1/2 x))))))> |
#<alt (* (sqrt z) (/ (* (sqrt 2) (- (* 1/8 (pow x 9)) (pow y 9))) (+ (* 1/4 (pow x 6)) (* y (+ y (* 1/2 x))))))> |
#<alt (* (sqrt z) (/ (* (sqrt 2) (- (* 1/8 (pow x 9)) (pow y 9))) (+ (* 1/4 (pow x 6)) (* y (+ y (* 1/2 x))))))> |
#<alt (* (sqrt z) (/ (* (sqrt 2) (- (* 1/8 (pow x 9)) (pow y 9))) (+ (* 1/4 (pow x 6)) (* y (+ y (* 1/2 x))))))> |
#<alt (* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/8 (pow x 9)) (pow y 9)))) (+ (* 1/4 (pow x 16)) (* y (+ y (* 1/2 x)))))))> |
#<alt (* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/8 (pow x 9)) (pow y 9)))) (+ (* 1/4 (pow x 16)) (* y (+ y (* 1/2 x)))))))> |
#<alt (* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/8 (pow x 9)) (pow y 9)))) (+ (* 1/4 (pow x 16)) (* y (+ y (* 1/2 x)))))))> |
#<alt (* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/8 (pow x 9)) (pow y 9)))) (+ (* 1/4 (pow x 16)) (* y (+ y (* 1/2 x)))))))> |
#<alt (* -1 (* (* (pow y 7) (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* (* (pow y 7) (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1 (* (* (pow y 7) (sqrt 2)) (sqrt z))) (* 1/8 (* (* (pow x 7) (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* (pow y 7) (sqrt 2)) (sqrt z))) (* 1/8 (* (* (pow x 7) (sqrt 2)) (sqrt z))))> |
#<alt (* 1/8 (* (* (pow x 8) (sqrt 2)) (sqrt z)))> |
#<alt (* 1/8 (* (* (pow x 8) (sqrt 2)) (sqrt z)))> |
#<alt (* (pow x 8) (+ (* -1 (* (/ (* (pow y 8) (sqrt 2)) (pow x 8)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2)))))> |
#<alt (* (pow x 8) (+ (* -1 (* (/ (* (pow y 8) (sqrt 2)) (pow x 8)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2)))))> |
#<alt (* 1/8 (* (* (pow x 9) (sqrt 2)) (sqrt z)))> |
#<alt (* 1/8 (* (* (pow x 9) (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* (pow x 9) (+ (* -1/8 (* (sqrt z) (sqrt 2))) (* (/ (* (pow y 9) (sqrt 2)) (pow x 9)) (sqrt z)))))> |
#<alt (* -1 (* (pow x 9) (+ (* -1/8 (* (sqrt z) (sqrt 2))) (* (/ (* (pow y 9) (sqrt 2)) (pow x 9)) (sqrt z)))))> |
#<alt (* 1/8 (* (* (pow x 7) (sqrt 2)) (sqrt z)))> |
#<alt (* 1/8 (* (* (pow x 7) (sqrt 2)) (sqrt z)))> |
#<alt (+ (* -1 (* (* (pow y 7) (sqrt 2)) (sqrt z))) (* 1/8 (* (* (pow x 7) (sqrt 2)) (sqrt z))))> |
#<alt (+ (* -1 (* (* (pow y 7) (sqrt 2)) (sqrt z))) (* 1/8 (* (* (pow x 7) (sqrt 2)) (sqrt z))))> |
#<alt (* -1 (* (* (pow y 7) (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* (* (pow y 7) (sqrt 2)) (sqrt z)))> |
#<alt (* (pow y 7) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/8 (* (/ (* (pow x 7) (sqrt 2)) (pow y 7)) (sqrt z)))))> |
#<alt (* (pow y 7) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/8 (* (/ (* (pow x 7) (sqrt 2)) (pow y 7)) (sqrt z)))))> |
#<alt (* -1 (* (* (pow y 7) (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* (* (pow y 7) (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* (pow y 7) (+ (* -1/8 (* (/ (* (pow x 7) (sqrt 2)) (pow y 7)) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
#<alt (* -1 (* (pow y 7) (+ (* -1/8 (* (/ (* (pow x 7) (sqrt 2)) (pow y 7)) (sqrt z))) (* (sqrt z) (sqrt 2)))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/8 (pow x 7)) (pow y 7))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/8 (pow x 7)) (pow y 7))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/8 (pow x 7)) (pow y 7))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/8 (pow x 7)) (pow y 7))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/8 (pow x 9)) (pow y 9))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/8 (pow x 9)) (pow y 9))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/8 (pow x 9)) (pow y 9))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/8 (pow x 9)) (pow y 9))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/8 (pow x 9)) (pow y 9))))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/8 (pow x 9)) (pow y 9))))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/8 (pow x 9)) (pow y 9))))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/8 (pow x 9)) (pow y 9))))))> |
#<alt (* -1 (pow y 3))> |
#<alt (- (* 1/8 (pow x 3)) (pow y 3))> |
#<alt (- (* 1/8 (pow x 3)) (pow y 3))> |
#<alt (- (* 1/8 (pow x 3)) (pow y 3))> |
#<alt (* 1/8 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/8 (* -1 (/ (pow y 4) (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/8 (* -1 (/ (pow y 4) (pow x 4)))))> |
#<alt (* (pow x 4) (+ 1/8 (* -1 (/ (pow y 4) (pow x 4)))))> |
#<alt (* -1/8 (pow x 4))> |
#<alt (* (pow x 4) (- (* -1 (/ (pow y 4) (pow x 4))) 1/8))> |
#<alt (* (pow x 4) (- (* -1 (/ (pow y 4) (pow x 4))) 1/8))> |
#<alt (* (pow x 4) (- (* -1 (/ (pow y 4) (pow x 4))) 1/8))> |
#<alt (* 1/8 (pow x 3))> |
#<alt (+ (* -1 (pow y 3)) (* 1/8 (pow x 3)))> |
#<alt (+ (* -1 (pow y 3)) (* 1/8 (pow x 3)))> |
#<alt (+ (* -1 (pow y 3)) (* 1/8 (pow x 3)))> |
#<alt (* -1 (pow y 3))> |
#<alt (* (pow y 3) (- (* 1/8 (/ (pow x 3) (pow y 3))) 1))> |
#<alt (* (pow y 3) (- (* 1/8 (/ (pow x 3) (pow y 3))) 1))> |
#<alt (* (pow y 3) (- (* 1/8 (/ (pow x 3) (pow y 3))) 1))> |
#<alt (* -1 (pow y 3))> |
#<alt (* -1 (* (pow y 3) (+ 1 (* -1/8 (/ (pow x 3) (pow y 3))))))> |
#<alt (* -1 (* (pow y 3) (+ 1 (* -1/8 (/ (pow x 3) (pow y 3))))))> |
#<alt (* -1 (* (pow y 3) (+ 1 (* -1/8 (/ (pow x 3) (pow y 3))))))> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt t> |
#<alt t> |
#<alt t> |
#<alt t> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (pow t 2)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt y> |
#<alt (+ y (* 1/2 x))> |
#<alt (+ y (* 1/2 x))> |
#<alt (+ y (* 1/2 x))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ y x)))> |
#<alt (* x (+ 1/2 (/ y x)))> |
#<alt (* x (+ 1/2 (/ y x)))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1 (/ y x)) 1/2)))> |
#<alt (* 1/2 x)> |
#<alt (+ y (* 1/2 x))> |
#<alt (+ y (* 1/2 x))> |
#<alt (+ y (* 1/2 x))> |
#<alt y> |
#<alt (* y (+ 1 (* 1/2 (/ x y))))> |
#<alt (* y (+ 1 (* 1/2 (/ x y))))> |
#<alt (* y (+ 1 (* 1/2 (/ x y))))> |
#<alt y> |
#<alt (* -1 (* y (- (* -1/2 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1/2 (/ x y)) 1)))> |
#<alt (* -1 (* y (- (* -1/2 (/ x y)) 1)))> |
#<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 (/ y x)) 1/2))> |
#<alt (* x (- (* -1 (/ y x)) 1/2))> |
#<alt (* x (- (* -1 (/ y x)) 1/2))> |
#<alt (* -1/2 x)> |
#<alt (* -1 (* x (+ 1/2 (/ y x))))> |
#<alt (* -1 (* x (+ 1/2 (/ y x))))> |
#<alt (* -1 (* x (+ 1/2 (/ y x))))> |
#<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 y> |
#<alt y> |
#<alt y> |
#<alt y> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
144 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | z | @ | 0 | (* (* (neg y) (sqrt (* z 2))) 1) |
| 6.0ms | x | @ | 0 | (/ (* (sqrt (* 2 z)) (* (+ (* x 1/2) y) (+ (* x -1/2) y))) (+ (* x -1/2) (neg y))) |
| 5.0ms | t | @ | 0 | (/ (+ (* x -1/2) y) (/ -1 (sqrt (* (exp (* t t)) (* 2 z))))) |
| 4.0ms | z | @ | 0 | (/ (* (+ (* 1/8 (* x (* x x))) (neg (* y (* y y)))) (sqrt (* 2 z))) (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y)))) |
| 4.0ms | z | @ | inf | (/ (* (+ (* 1/8 (* x (* x x))) (neg (* y (* y y)))) (sqrt (* 2 z))) (+ (* x (* x 1/4)) (* y (+ (* x 1/2) y)))) |
Compiled 2 220 to 1 672 computations (24.7% saved)
| 1× | batch-egg-rewrite |
| 6 002× | lower-fma.f32 |
| 5 992× | lower-fma.f64 |
| 4 770× | lower-*.f32 |
| 4 740× | lower-*.f64 |
| 4 738× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 216 |
| 0 | 79 | 200 |
| 1 | 250 | 182 |
| 2 | 1809 | 180 |
| 0 | 8612 | 180 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(fma.f64 x #s(literal -1/2 binary64) y) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) |
(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 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.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 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.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 x (*.f64 x x)) |
(*.f64 t t) |
(*.f64 z #s(literal 2 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) y) |
(fma.f64 x #s(literal -1/2 binary64) (neg.f64 y)) |
(*.f64 y y) |
(*.f64 x x) |
| Outputs |
|---|
(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 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (-.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 y y) (-.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 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 (/.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 (*.f64 y y) (*.f64 (/.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)))) |
(neg.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(/.f64 #s(literal -1 binary64) (neg.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))))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 (fma.f64 x #s(literal -1/2 binary64) y))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal -1/2 binary64)))))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.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)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal -1/2 binary64))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.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 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y))) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) y) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 x #s(literal -1/2 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (*.f64 (/.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 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal -1/2 binary64))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) #s(literal 1 binary64)) (*.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 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y)))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal -1/2 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/2 binary64) y))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y)))) (neg.f64 (*.f64 (/.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 (*.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 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y))) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (-.f64 (*.f64 x #s(literal -1/2 binary64)) y)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal -1/2 binary64))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) #s(literal 1 binary64))) (neg.f64 (*.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 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/2 binary64) y)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y))) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) (neg.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(pow.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 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 #s(literal -1 binary64) (pow.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 -1 binary64) (/.f64 #s(literal 1 binary64) (neg.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)))))))) |
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 (fma.f64 x #s(literal -1/2 binary64) y))) (/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) y) (-.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))) (neg.f64 (fma.f64 x #s(literal -1/2 binary64) y)))) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal -1/2 binary64)))))))) |
(*.f64 (neg.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 (fma.f64 x #s(literal -1/2 binary64) y)) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.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 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal -1/2 binary64))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.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 (neg.f64 (neg.f64 (fma.f64 x #s(literal -1/2 binary64) y))) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) #s(literal -1 binary64)) |
(*.f64 (*.f64 (neg.f64 (fma.f64 x #s(literal -1/2 binary64) y)) (exp.f64 (*.f64 t (*.f64 t #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y))) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal -1/2 binary64))))))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (neg.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y 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 (*.f64 x #s(literal 1/4 binary64)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 x #s(literal -1/2 binary64)))))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 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 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal -1/2 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal -1/2 binary64)) y))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z)))))) |
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(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (fma.f64 y y (*.f64 y (*.f64 x #s(literal -1/2 binary64))))))) |
(*.f64 (/.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) (-.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) y)) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 x #s(literal -1/2 binary64)))))))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (-.f64 (*.f64 y y) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 y) (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal -1/2 binary64)))))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y)))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal -1/2 binary64)))))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y)))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal -1/2 binary64)) y)))) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y))))) (/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 x #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))))) (/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) y) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y))))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 x #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))))) (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y))))) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 x #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) y) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))))) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) |
(*.f64 (/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) y) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 y (*.f64 y y)))) (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (-.f64 y (*.f64 x #s(literal -1/2 binary64)))))))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) |
(neg.f64 (*.f64 y (neg.f64 y))) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(*.f64 y y) |
(*.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) y) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
| 1× | egg-herbie |
| 7 786× | lower-fma.f64 |
| 7 786× | lower-fma.f32 |
| 6 416× | lower-*.f64 |
| 6 416× | lower-*.f32 |
| 4 400× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 874 | 8474 |
| 1 | 2919 | 7819 |
| 2 | 7536 | 7743 |
| 0 | 8113 | 7448 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 5)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 5)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 5)))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 5)))))) (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 5)))))) (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 5)))))) (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) |
(+ (* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) (* -1/2 (* (* (pow t 5) (* (sqrt 2) (+ y (* -1/2 x)))) (sqrt z)))) |
(+ (* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) (* (pow t 5) (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) (* -1/2 (* (* (pow t 5) (* (sqrt 2) (* (+ y (* -1/2 x)) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) |
(+ (* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) (* (pow t 5) (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) (* (pow t 5) (+ (* -1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (+ y (* -1/2 x)) (- (* 1/2 z) (* 1/4 z)))))) (* -1/2 (* (* (pow t 5) (* (sqrt 2) (* (+ y (* -1/2 x)) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z))))))) (sqrt (/ 1 z))))))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 5)))) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 5)))) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 5)))) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 5)))) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 5)))) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 5)))) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 5)))) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt (* z (exp (pow t 5)))) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* (sqrt (* z (exp (pow t 5)))) (* (sqrt -2) (* (sqrt -1) (+ y (* -1/2 x))))) |
(* (sqrt (* z (exp (pow t 5)))) (* (sqrt -2) (* (sqrt -1) (+ y (* -1/2 x))))) |
(* (sqrt (* z (exp (pow t 5)))) (* (sqrt -2) (* (sqrt -1) (+ y (* -1/2 x))))) |
(* (sqrt (* z (exp (pow t 5)))) (* (sqrt -2) (* (sqrt -1) (+ y (* -1/2 x))))) |
y |
(+ y (* -1/2 x)) |
(+ y (* -1/2 x)) |
(+ y (* -1/2 x)) |
(* -1/2 x) |
(* x (- (/ y x) 1/2)) |
(* x (- (/ y x) 1/2)) |
(* x (- (/ y x) 1/2)) |
(* -1/2 x) |
(* -1 (* x (+ 1/2 (* -1 (/ y x))))) |
(* -1 (* x (+ 1/2 (* -1 (/ y x))))) |
(* -1 (* x (+ 1/2 (* -1 (/ y x))))) |
(* -1/2 x) |
(+ y (* -1/2 x)) |
(+ y (* -1/2 x)) |
(+ y (* -1/2 x)) |
y |
(* y (+ 1 (* -1/2 (/ x y)))) |
(* y (+ 1 (* -1/2 (/ x y)))) |
(* y (+ 1 (* -1/2 (/ x y)))) |
y |
(* -1 (* y (- (* 1/2 (/ x y)) 1))) |
(* -1 (* y (- (* 1/2 (/ x y)) 1))) |
(* -1 (* y (- (* 1/2 (/ x y)) 1))) |
(* -1 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) |
(+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* 1/2 (* (/ (pow t 4) (sqrt 2)) (sqrt (/ 1 z))))) |
(+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* (pow t 4) (+ (* -1/8 (* (/ (pow t 4) (sqrt 2)) (sqrt (/ 1 z)))) (* 1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2))))))) |
(+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* (pow t 4) (+ (* 1/2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* (pow t 4) (+ (* -1/8 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* 1/48 (* (/ (pow t 4) (sqrt 2)) (sqrt (/ 1 z))))))))) |
(* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) |
(* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) |
(* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) |
(* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) |
(* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) |
(* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) |
(* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) |
(* -1 (* (sqrt (/ 1 (* z (exp (pow t 2))))) (/ 1 (sqrt 2)))) |
(* -1 (* (sqrt (/ 1 (* z (exp (pow t 4))))) (/ 1 (sqrt 2)))) |
(* -1 (* (sqrt (/ 1 (* z (exp (pow t 4))))) (/ 1 (sqrt 2)))) |
(* -1 (* (sqrt (/ 1 (* z (exp (pow t 4))))) (/ 1 (sqrt 2)))) |
(* -1 (* (sqrt (/ 1 (* z (exp (pow t 4))))) (/ 1 (sqrt 2)))) |
(* -1 (* (sqrt (/ 1 (exp (pow t 3)))) (/ 1 (sqrt 2)))) |
(* -1 (* (sqrt (/ 1 (exp (pow t 3)))) (/ 1 (sqrt 2)))) |
(* -1 (* (sqrt (/ 1 (exp (pow t 3)))) (/ 1 (sqrt 2)))) |
(* -1 (* (sqrt (/ 1 (exp (pow t 3)))) (/ 1 (sqrt 2)))) |
(* -1 (* (sqrt (/ 1 (exp (pow t 3)))) (/ 1 (sqrt -2)))) |
(* -1 (* (sqrt (/ 1 (exp (pow t 3)))) (/ 1 (sqrt -2)))) |
(* -1 (* (sqrt (/ 1 (exp (pow t 3)))) (/ 1 (sqrt -2)))) |
(* -1 (* (sqrt (/ 1 (exp (pow t 3)))) (/ 1 (sqrt -2)))) |
(* (sqrt z) (sqrt 2)) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z))))))))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(* (* y (* (sqrt -2) (sqrt -1))) (sqrt z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (sqrt 2)) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) |
(* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) |
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(* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ y (* -1/2 x))))) |
(* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ y (* -1/2 x))))) |
(* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ y (* -1/2 x))))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
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(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
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(* 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))) |
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(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
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(* -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)) |
(* (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) |
z |
z |
z |
z |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ -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)) |
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y))) |
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y))) |
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y))) |
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y))) |
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y))) |
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y))) |
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y))) |
(* (sqrt z) (/ (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x)))) (- (* -1/2 x) y))) |
(* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))) (- (* -1/2 x) y)))) |
(* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))) (- (* -1/2 x) y)))) |
(* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))) (- (* -1/2 x) y)))) |
(* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))) (- (* -1/2 x) y)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* (* x (- (* -1 (/ (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y))) y)) (* -1/2 (sqrt 2)))) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* x (+ (* (sqrt z) (- (* -1 (/ (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y))) y)) (* -1/2 (sqrt 2)))) (* (* x (- (* 1/4 (/ (sqrt 2) y)) (* 1/2 (/ (- (* -1 (/ (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y))) y)) (* -1/2 (sqrt 2))) y)))) (sqrt z))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* x (+ (* x (+ (* -1/2 (* (/ (* x (- (* 1/4 (/ (sqrt 2) y)) (* 1/2 (/ (- (* -1 (/ (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y))) y)) (* -1/2 (sqrt 2))) y)))) y) (sqrt z))) (* (sqrt z) (- (* 1/4 (/ (sqrt 2) y)) (* 1/2 (/ (- (* -1 (/ (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y))) y)) (* -1/2 (sqrt 2))) y)))))) (* (sqrt z) (- (* -1 (/ (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y))) y)) (* -1/2 (sqrt 2))))))) |
(* 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 2) (+ (* -1/2 y) (* 1/2 y)))) (* y (sqrt 2))) x) (sqrt z))) (* -1/2 (* (sqrt z) (sqrt 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (* (/ (- (* 2 (* (pow y 2) (sqrt 2))) (* -2 (* y (- (* 2 (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y)))) (* y (sqrt 2)))))) x) (sqrt z))) (* (sqrt z) (- (* 2 (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y)))) (* y (sqrt 2))))) x)) (* -1/2 (* (sqrt z) (sqrt 2)))))) |
(* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (/ (* y (- (* 2 (* (pow y 2) (sqrt 2))) (* -2 (* y (- (* 2 (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y)))) (* y (sqrt 2))))))) x) (sqrt z))) (* (sqrt z) (- (* 2 (* (pow y 2) (sqrt 2))) (* -2 (* y (- (* 2 (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y)))) (* y (sqrt 2)))))))) x)) (* (sqrt z) (- (* 2 (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y)))) (* y (sqrt 2))))) x)) (* -1/2 (* (sqrt z) (sqrt 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* (* y (- (* -2 (/ (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) x)) (sqrt 2))) (sqrt z))) |
(+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* y (+ (* (sqrt z) (- (* -2 (/ (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) x)) (sqrt 2))) (* (* y (- (* -2 (/ (sqrt 2) x)) (* 2 (/ (- (* -2 (/ (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) x)) (sqrt 2)) x)))) (sqrt z))))) |
(+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* y (+ (* y (+ (* -2 (* (/ (* y (- (* -2 (/ (sqrt 2) x)) (* 2 (/ (- (* -2 (/ (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) x)) (sqrt 2)) x)))) x) (sqrt z))) (* (sqrt z) (- (* -2 (/ (sqrt 2) x)) (* 2 (/ (- (* -2 (/ (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) x)) (sqrt 2)) x)))))) (* (sqrt z) (- (* -2 (/ (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) x)) (sqrt 2)))))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* (/ (- (* -1 (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x)))) (* -1/2 (* x (sqrt 2)))) y) (sqrt z)))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (+ (* (/ (- (* -1 (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x)))) (* -1/2 (* x (sqrt 2)))) y) (sqrt z)) (* (/ (- (* 1/4 (* (pow x 2) (sqrt 2))) (* 1/2 (* x (- (* -1 (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x)))) (* -1/2 (* x (sqrt 2))))))) (pow y 2)) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (+ (* -1/2 (* (/ (* x (- (* 1/4 (* (pow x 2) (sqrt 2))) (* 1/2 (* x (- (* -1 (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x)))) (* -1/2 (* x (sqrt 2)))))))) (pow y 3)) (sqrt z))) (+ (* (/ (- (* -1 (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x)))) (* -1/2 (* x (sqrt 2)))) y) (sqrt z)) (* (/ (- (* 1/4 (* (pow x 2) (sqrt 2))) (* 1/2 (* x (- (* -1 (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x)))) (* -1/2 (* x (sqrt 2))))))) (pow y 2)) (sqrt z)))))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(* -1 (* y (+ (* -1 (* (/ (- (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) (* -1/2 (* x (sqrt 2)))) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1 (/ (+ (* -1 (* (/ (- (* -1/4 (* (pow x 2) (sqrt 2))) (* -1/2 (* x (- (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) (* -1/2 (* x (sqrt 2))))))) y) (sqrt z))) (* (sqrt z) (- (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) (* -1/2 (* x (sqrt 2)))))) y)) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (* x (- (* -1/4 (* (pow x 2) (sqrt 2))) (* -1/2 (* x (- (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) (* -1/2 (* x (sqrt 2)))))))) y) (sqrt z))) (* (sqrt z) (- (* -1/4 (* (pow x 2) (sqrt 2))) (* -1/2 (* x (- (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) (* -1/2 (* x (sqrt 2))))))))) y)) (* (sqrt z) (- (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) (* -1/2 (* x (sqrt 2)))))) y)) (* (sqrt z) (sqrt 2))))) |
(pow y 2) |
(+ (* x (+ (* -1/2 y) (* 1/2 y))) (pow y 2)) |
(+ (* x (+ (* -1/2 y) (+ (* -1/4 x) (* 1/2 y)))) (pow y 2)) |
(+ (* x (+ (* -1/2 y) (+ (* -1/4 x) (* 1/2 y)))) (pow y 2)) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/2 (/ y x))) 1/4)) |
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (+ (* 1/2 (/ y x)) (/ (pow y 2) (pow x 2)))) 1/4)) |
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (+ (* 1/2 (/ y x)) (/ (pow y 2) (pow x 2)))) 1/4)) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (* -1 (/ (+ (* -1/2 y) (* 1/2 y)) x)) 1/4)) |
(* (pow x 2) (- (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (+ (* -1/2 y) (* 1/2 y))) x)) 1/4)) |
(* (pow x 2) (- (* -1 (/ (+ (* -1 (/ (pow y 2) x)) (+ (* -1/2 y) (* 1/2 y))) x)) 1/4)) |
(* -1/4 (pow x 2)) |
(+ (* -1/4 (pow x 2)) (* y (+ (* -1/2 x) (* 1/2 x)))) |
(+ (* -1/4 (pow x 2)) (* y (+ y (+ (* -1/2 x) (* 1/2 x))))) |
(+ (* -1/4 (pow x 2)) (* y (+ y (+ (* -1/2 x) (* 1/2 x))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (+ (* -1/2 (/ x y)) (* 1/2 (/ x y))))) |
(* (pow y 2) (+ 1 (+ (* -1/2 (/ x y)) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y)))))) |
(* (pow y 2) (+ 1 (+ (* -1/2 (/ x y)) (+ (* -1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y)))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/2 x) (* 1/2 x)) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/2 x) (+ (* 1/4 (/ (pow x 2) y)) (* 1/2 x))) y)))) |
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1/2 x) (+ (* 1/4 (/ (pow x 2) y)) (* 1/2 x))) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))) |
(* (sqrt z) (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))) |
(* (sqrt z) (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))) |
(* (sqrt z) (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))) |
(* (sqrt z) (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))) |
(* (sqrt z) (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))) |
(* (sqrt z) (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))) |
(* (sqrt z) (* (sqrt 2) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ y (* -1/2 x)) (+ y (* 1/2 x))))))) |
(* (* (pow y 2) (sqrt 2)) (sqrt z)) |
(+ (* (* x (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y)))) (sqrt z)) (* (* (pow y 2) (sqrt 2)) (sqrt z))) |
(+ (* x (+ (* -1/4 (* (* x (sqrt 2)) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y)))))) (* (* (pow y 2) (sqrt 2)) (sqrt z))) |
(+ (* x (+ (* -1/4 (* (* x (sqrt 2)) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y)))))) (* (* (pow y 2) (sqrt 2)) (sqrt z))) |
(* -1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))) |
(* (pow x 2) (+ (* -1/4 (* (sqrt z) (sqrt 2))) (* (/ (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y))) x) (sqrt z)))) |
(* (pow x 2) (+ (* -1/4 (* (sqrt z) (sqrt 2))) (+ (* (/ (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y))) x) (sqrt z)) (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))))) |
(* (pow x 2) (+ (* -1/4 (* (sqrt z) (sqrt 2))) (+ (* (/ (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y))) x) (sqrt z)) (* (/ (* (pow y 2) (sqrt 2)) (pow x 2)) (sqrt z))))) |
(* -1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))) |
(* (pow x 2) (+ (* -1 (* (/ (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y))) x) (sqrt z))) (* -1/4 (* (sqrt z) (sqrt 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y))))) x)) (* -1/4 (* (sqrt z) (sqrt 2))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (/ (* (pow y 2) (sqrt 2)) x) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ (* -1/2 y) (* 1/2 y))))) x)) (* -1/4 (* (sqrt z) (sqrt 2))))) |
(* -1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))) |
(+ (* -1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))) (* (* y (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x)))) (sqrt z))) |
(+ (* -1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))) (* y (+ (* (sqrt z) (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x)))) (* (* y (sqrt 2)) (sqrt z))))) |
(+ (* -1/4 (* (* (pow x 2) (sqrt 2)) (sqrt z))) (* y (+ (* (sqrt z) (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x)))) (* (* y (sqrt 2)) (sqrt z))))) |
(* (* (pow y 2) (sqrt 2)) (sqrt z)) |
(* (pow y 2) (+ (* (sqrt z) (sqrt 2)) (* (/ (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) y) (sqrt z)))) |
(* (pow y 2) (+ (* -1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))) (+ (* (sqrt z) (sqrt 2)) (* (/ (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) y) (sqrt z))))) |
(* (pow y 2) (+ (* -1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 2)) (sqrt z))) (+ (* (sqrt z) (sqrt 2)) (* (/ (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) y) (sqrt z))))) |
(* (* (pow y 2) (sqrt 2)) (sqrt z)) |
(* (pow y 2) (+ (* -1 (* (/ (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))) y) (sqrt z))) (* (sqrt z) (sqrt 2)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))))) y)) (* (sqrt z) (sqrt 2)))) |
(* (pow y 2) (+ (* -1 (/ (+ (* 1/4 (* (/ (* (pow x 2) (sqrt 2)) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ (* -1/2 x) (* 1/2 x))))) y)) (* (sqrt z) (sqrt 2)))) |
(* -1 (* (* (pow y 5) (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* (pow y 5) (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (* (pow y 4) (sqrt 2))) (sqrt z)))) |
(+ (* -1 (* (* (pow y 5) (sqrt 2)) (sqrt z))) (* x (+ (* -1/4 (* (* x (* (pow y 3) (sqrt 2))) (sqrt z))) (* 1/2 (* (* (pow y 4) (sqrt 2)) (sqrt z)))))) |
(+ (* -1 (* (* (pow y 5) (sqrt 2)) (sqrt z))) (* x (+ (* 1/2 (* (* (pow y 4) (sqrt 2)) (sqrt z))) (* x (+ (* -1/4 (* (* (pow y 3) (sqrt 2)) (sqrt z))) (* 1/8 (* (* x (* (pow y 2) (sqrt 2))) (sqrt z)))))))) |
(* 1/2 (* (* (pow x 4) (sqrt 2)) (sqrt z))) |
(* (pow x 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow x 3)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* (pow x 4) (+ (* -2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 4)) (sqrt z))) (+ (* -1 (* (/ (* y (sqrt 2)) (pow x 3)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))) |
(* (pow x 4) (+ (* -2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 4)) (sqrt z))) (+ (* -1 (* (/ (* y (sqrt 2)) (pow x 3)) (sqrt z))) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 6)) (sqrt z))))))) |
(* -1/2 (* (* (pow x 4) (sqrt 2)) (sqrt z))) |
(* (pow x 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow x 4)) (sqrt z))) (* -1/2 (* (sqrt z) (sqrt 2))))) |
(* (pow x 4) (+ (* -2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 5)) (sqrt z))) (+ (* -1 (* (/ (* y (sqrt 2)) (pow x 4)) (sqrt z))) (* -1/2 (* (sqrt z) (sqrt 2)))))) |
(* (pow x 4) (+ (* -1 (* (/ (* y (sqrt 2)) (pow x 4)) (sqrt z))) (+ (* -1 (/ (+ (* 2 (* (* (pow y 2) (sqrt 2)) (sqrt z))) (* 2 (* (/ (* (pow y 2) (sqrt 2)) (pow x 3)) (sqrt z)))) (pow x 5))) (* -1/2 (* (sqrt z) (sqrt 2)))))) |
(* 1/2 (* (* (pow x 3) (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* (pow x 3) (sqrt 2)) (sqrt z)))) |
(+ (* 1/2 (* (* (pow x 3) (sqrt 2)) (sqrt z))) (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* -1 (* (* y (+ (* -2 (/ (sqrt 2) (pow x 3))) (* 2 (/ (sqrt 2) x)))) (sqrt z)))))) |
(+ (* 1/2 (* (* (pow x 3) (sqrt 2)) (sqrt z))) (* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* y (+ (* -1 (* (sqrt z) (+ (* -2 (/ (sqrt 2) (pow x 3))) (* 2 (/ (sqrt 2) x))))) (* -1 (* (* y (+ (* -4 (/ (sqrt 2) (pow x 4))) (* -2 (/ (+ (* -2 (/ (sqrt 2) (pow x 3))) (* 2 (/ (sqrt 2) x))) (pow x 3))))) (sqrt z)))))))) |
(* -1 (* (* (pow y 3) (sqrt 2)) (sqrt z))) |
(* (pow y 3) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) (pow y 3)) (sqrt z))))) |
(* (pow y 3) (+ (* -1 (* (sqrt z) (sqrt 2))) (+ (* 1/4 (* (/ (* (pow x 4) (sqrt 2)) (pow y 4)) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (pow y 3)) (sqrt z)))))) |
(* (pow y 3) (+ (* -1 (* (sqrt z) (sqrt 2))) (+ (* -1/4 (* (/ (* (pow x 2) (sqrt 2)) (pow y 6)) (sqrt z))) (+ (* 1/4 (* (/ (* (pow x 4) (sqrt 2)) (pow y 4)) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (pow y 3)) (sqrt z))))))) |
(* -1 (* (* (pow y 5) (sqrt 2)) (sqrt z))) |
(* -1 (* (pow y 5) (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (+ (* 1/2 (* (* x (sqrt 2)) (sqrt z))) (* (/ (+ (* -1/4 (* (pow x 2) (sqrt 2))) (* 1/4 (* (pow x 4) (sqrt 2)))) y) (sqrt z))) y)) (* (sqrt z) (sqrt 2))))) |
(* -1 (* (pow y 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (sqrt z) (+ (* -1/4 (* (pow x 2) (sqrt 2))) (* 1/4 (* (pow x 4) (sqrt 2)))))) (* (/ (+ (* 1/8 (* (pow x 5) (sqrt 2))) (* 1/2 (* x (+ (* -1/4 (* (pow x 2) (sqrt 2))) (* 1/4 (* (pow x 4) (sqrt 2))))))) y) (sqrt z))) y)) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) y)) (* (sqrt z) (sqrt 2))))) |
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/8 (pow x 7)) (pow y 7))) (+ (* 1/4 (pow x 4)) (* y (+ y (* 1/2 x)))))) |
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/8 (pow x 7)) (pow y 7))) (+ (* 1/4 (pow x 4)) (* y (+ y (* 1/2 x)))))) |
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/8 (pow x 7)) (pow y 7))) (+ (* 1/4 (pow x 4)) (* y (+ y (* 1/2 x)))))) |
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/8 (pow x 7)) (pow y 7))) (+ (* 1/4 (pow x 4)) (* y (+ y (* 1/2 x)))))) |
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/8 (pow x 9)) (pow y 9))) (+ (* 1/4 (pow x 6)) (* y (+ y (* 1/2 x)))))) |
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/8 (pow x 9)) (pow y 9))) (+ (* 1/4 (pow x 6)) (* y (+ y (* 1/2 x)))))) |
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/8 (pow x 9)) (pow y 9))) (+ (* 1/4 (pow x 6)) (* y (+ y (* 1/2 x)))))) |
(* (sqrt z) (/ (* (sqrt 2) (- (* 1/8 (pow x 9)) (pow y 9))) (+ (* 1/4 (pow x 6)) (* y (+ y (* 1/2 x)))))) |
(* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/8 (pow x 9)) (pow y 9)))) (+ (* 1/4 (pow x 16)) (* y (+ y (* 1/2 x))))))) |
(* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/8 (pow x 9)) (pow y 9)))) (+ (* 1/4 (pow x 16)) (* y (+ y (* 1/2 x))))))) |
(* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/8 (pow x 9)) (pow y 9)))) (+ (* 1/4 (pow x 16)) (* y (+ y (* 1/2 x))))))) |
(* -1 (* (sqrt z) (/ (* (sqrt -2) (* (sqrt -1) (- (* 1/8 (pow x 9)) (pow y 9)))) (+ (* 1/4 (pow x 16)) (* y (+ y (* 1/2 x))))))) |
(* -1 (* (* (pow y 7) (sqrt 2)) (sqrt z))) |
(* -1 (* (* (pow y 7) (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* (pow y 7) (sqrt 2)) (sqrt z))) (* 1/8 (* (* (pow x 7) (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* (pow y 7) (sqrt 2)) (sqrt z))) (* 1/8 (* (* (pow x 7) (sqrt 2)) (sqrt z)))) |
(* 1/8 (* (* (pow x 8) (sqrt 2)) (sqrt z))) |
(* 1/8 (* (* (pow x 8) (sqrt 2)) (sqrt z))) |
(* (pow x 8) (+ (* -1 (* (/ (* (pow y 8) (sqrt 2)) (pow x 8)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2))))) |
(* (pow x 8) (+ (* -1 (* (/ (* (pow y 8) (sqrt 2)) (pow x 8)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2))))) |
(* 1/8 (* (* (pow x 9) (sqrt 2)) (sqrt z))) |
(* 1/8 (* (* (pow x 9) (sqrt 2)) (sqrt z))) |
(* -1 (* (pow x 9) (+ (* -1/8 (* (sqrt z) (sqrt 2))) (* (/ (* (pow y 9) (sqrt 2)) (pow x 9)) (sqrt z))))) |
(* -1 (* (pow x 9) (+ (* -1/8 (* (sqrt z) (sqrt 2))) (* (/ (* (pow y 9) (sqrt 2)) (pow x 9)) (sqrt z))))) |
(* 1/8 (* (* (pow x 7) (sqrt 2)) (sqrt z))) |
(* 1/8 (* (* (pow x 7) (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* (pow y 7) (sqrt 2)) (sqrt z))) (* 1/8 (* (* (pow x 7) (sqrt 2)) (sqrt z)))) |
(+ (* -1 (* (* (pow y 7) (sqrt 2)) (sqrt z))) (* 1/8 (* (* (pow x 7) (sqrt 2)) (sqrt z)))) |
(* -1 (* (* (pow y 7) (sqrt 2)) (sqrt z))) |
(* -1 (* (* (pow y 7) (sqrt 2)) (sqrt z))) |
(* (pow y 7) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/8 (* (/ (* (pow x 7) (sqrt 2)) (pow y 7)) (sqrt z))))) |
(* (pow y 7) (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/8 (* (/ (* (pow x 7) (sqrt 2)) (pow y 7)) (sqrt z))))) |
(* -1 (* (* (pow y 7) (sqrt 2)) (sqrt z))) |
(* -1 (* (* (pow y 7) (sqrt 2)) (sqrt z))) |
(* -1 (* (pow y 7) (+ (* -1/8 (* (/ (* (pow x 7) (sqrt 2)) (pow y 7)) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* (pow y 7) (+ (* -1/8 (* (/ (* (pow x 7) (sqrt 2)) (pow y 7)) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/8 (pow x 7)) (pow y 7)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/8 (pow x 7)) (pow y 7)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/8 (pow x 7)) (pow y 7)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/8 (pow x 7)) (pow y 7)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/8 (pow x 9)) (pow y 9)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/8 (pow x 9)) (pow y 9)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/8 (pow x 9)) (pow y 9)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/8 (pow x 9)) (pow y 9)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/8 (pow x 9)) (pow y 9)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/8 (pow x 9)) (pow y 9)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/8 (pow x 9)) (pow y 9)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/8 (pow x 9)) (pow y 9)))))) |
(* -1 (pow y 3)) |
(- (* 1/8 (pow x 3)) (pow y 3)) |
(- (* 1/8 (pow x 3)) (pow y 3)) |
(- (* 1/8 (pow x 3)) (pow y 3)) |
(* 1/8 (pow x 4)) |
(* (pow x 4) (+ 1/8 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1/8 (* -1 (/ (pow y 4) (pow x 4))))) |
(* (pow x 4) (+ 1/8 (* -1 (/ (pow y 4) (pow x 4))))) |
(* -1/8 (pow x 4)) |
(* (pow x 4) (- (* -1 (/ (pow y 4) (pow x 4))) 1/8)) |
(* (pow x 4) (- (* -1 (/ (pow y 4) (pow x 4))) 1/8)) |
(* (pow x 4) (- (* -1 (/ (pow y 4) (pow x 4))) 1/8)) |
(* 1/8 (pow x 3)) |
(+ (* -1 (pow y 3)) (* 1/8 (pow x 3))) |
(+ (* -1 (pow y 3)) (* 1/8 (pow x 3))) |
(+ (* -1 (pow y 3)) (* 1/8 (pow x 3))) |
(* -1 (pow y 3)) |
(* (pow y 3) (- (* 1/8 (/ (pow x 3) (pow y 3))) 1)) |
(* (pow y 3) (- (* 1/8 (/ (pow x 3) (pow y 3))) 1)) |
(* (pow y 3) (- (* 1/8 (/ (pow x 3) (pow y 3))) 1)) |
(* -1 (pow y 3)) |
(* -1 (* (pow y 3) (+ 1 (* -1/8 (/ (pow x 3) (pow y 3)))))) |
(* -1 (* (pow y 3) (+ 1 (* -1/8 (/ (pow x 3) (pow y 3)))))) |
(* -1 (* (pow y 3) (+ 1 (* -1/8 (/ (pow x 3) (pow y 3)))))) |
x |
x |
x |
x |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
t |
t |
t |
t |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(pow t 2) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
(* 2 z) |
z |
z |
z |
z |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
y |
(+ y (* 1/2 x)) |
(+ y (* 1/2 x)) |
(+ y (* 1/2 x)) |
(* 1/2 x) |
(* x (+ 1/2 (/ y x))) |
(* x (+ 1/2 (/ y x))) |
(* x (+ 1/2 (/ y x))) |
(* 1/2 x) |
(* -1 (* x (- (* -1 (/ y x)) 1/2))) |
(* -1 (* x (- (* -1 (/ y x)) 1/2))) |
(* -1 (* x (- (* -1 (/ y x)) 1/2))) |
(* 1/2 x) |
(+ y (* 1/2 x)) |
(+ y (* 1/2 x)) |
(+ y (* 1/2 x)) |
y |
(* y (+ 1 (* 1/2 (/ x y)))) |
(* y (+ 1 (* 1/2 (/ x y)))) |
(* y (+ 1 (* 1/2 (/ x y)))) |
y |
(* -1 (* y (- (* -1/2 (/ x y)) 1))) |
(* -1 (* y (- (* -1/2 (/ x y)) 1))) |
(* -1 (* y (- (* -1/2 (/ x y)) 1))) |
(* -1 y) |
(- (* -1/2 x) y) |
(- (* -1/2 x) y) |
(- (* -1/2 x) y) |
(* -1/2 x) |
(* x (- (* -1 (/ y x)) 1/2)) |
(* x (- (* -1 (/ y x)) 1/2)) |
(* x (- (* -1 (/ y x)) 1/2)) |
(* -1/2 x) |
(* -1 (* x (+ 1/2 (/ y x)))) |
(* -1 (* x (+ 1/2 (/ y x)))) |
(* -1 (* x (+ 1/2 (/ y x)))) |
(* -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))))) |
y |
y |
y |
y |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
x |
x |
x |
x |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (fma.f64 y (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (fma.f64 y (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (fma.f64 y (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (neg.f64 (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (neg.f64 (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (neg.f64 (/.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) x))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))))) |
(*.f64 (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64)))))) #s(literal -1/2 binary64))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))))) |
(*.f64 (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64)))))) #s(literal -1/2 binary64))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))))) |
(*.f64 (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64)))))) #s(literal -1/2 binary64))) (neg.f64 x)) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (fma.f64 y (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (fma.f64 y (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (fma.f64 y (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 5)))))))) |
(*.f64 y (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 5)))))))) |
(*.f64 y (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64)))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 5)))))))) |
(*.f64 y (fma.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y)) (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64)))))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (neg.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 5)))))) (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 5)))))) (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 5)))))) (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) |
(*.f64 (sqrt.f64 z) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal -1/2 binary64) y)))) |
(+ (* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) (* -1/2 (* (* (pow t 5) (* (sqrt 2) (+ y (* -1/2 x)))) (sqrt z)))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 t #s(literal 5 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal -1/2 binary64) y))))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal -1/2 binary64) y)))) |
(+ (* -1 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) (* (pow t 5) (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ y (* -1/2 x))))) (* -1/2 (* (* (pow t 5) (* (sqrt 2) (* (+ y (* -1/2 x)) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) |
(fma.f64 (pow.f64 t #s(literal 5 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 t #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal -1/2 binary64) y)) (*.f64 z #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal -1/2 binary64) y))))) (*.f64 (sqrt.f64 z) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal -1/2 binary64) y))))) |
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(* -1 y) |
(neg.f64 y) |
(- (* -1/2 x) y) |
(-.f64 (*.f64 x #s(literal -1/2 binary64)) y) |
(- (* -1/2 x) y) |
(-.f64 (*.f64 x #s(literal -1/2 binary64)) y) |
(- (* -1/2 x) y) |
(-.f64 (*.f64 x #s(literal -1/2 binary64)) y) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* x (- (* -1 (/ y x)) 1/2)) |
(*.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 y x))) |
(* x (- (* -1 (/ y x)) 1/2)) |
(*.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 y x))) |
(* x (- (* -1 (/ y x)) 1/2)) |
(*.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 y x))) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1 (* x (+ 1/2 (/ y x)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 y x)) (neg.f64 x)) |
(* -1 (* x (+ 1/2 (/ y x)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 y x)) (neg.f64 x)) |
(* -1 (* x (+ 1/2 (/ y x)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 y x)) (neg.f64 x)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(+ (* -1 y) (* -1/2 x)) |
(-.f64 (*.f64 x #s(literal -1/2 binary64)) y) |
(+ (* -1 y) (* -1/2 x)) |
(-.f64 (*.f64 x #s(literal -1/2 binary64)) y) |
(+ (* -1 y) (* -1/2 x)) |
(-.f64 (*.f64 x #s(literal -1/2 binary64)) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1/2 (/ x y)) 1)) |
(*.f64 y (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))) |
(* y (- (* -1/2 (/ x y)) 1)) |
(*.f64 y (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))) |
(* y (- (* -1/2 (/ x y)) 1)) |
(*.f64 y (fma.f64 x (/.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* 1/2 (/ x y))))) |
(*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* y (+ 1 (* 1/2 (/ x y))))) |
(*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* y (+ 1 (* 1/2 (/ x y))))) |
(*.f64 y (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
y |
y |
y |
y |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
x |
x |
x |
x |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
Compiled 59 609 to 4 740 computations (92% saved)
38 alts after pruning (38 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 925 | 16 | 1 941 |
| Fresh | 7 | 22 | 29 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 937 | 38 | 1 975 |
| Status | Accuracy | Program |
|---|---|---|
| 55.9% | (/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) | |
| 56.1% | (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) | |
| 36.4% | (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (neg.f64 y)) | |
| 41.6% | (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 y y))))) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) | |
| 26.9% | (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x)) | |
| 32.9% | (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y)) | |
| 55.3% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) y) (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x #s(literal 1/2 binary64) y))))) | |
| 55.6% | (*.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)) | |
| 47.9% | (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 56.4% | (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 55.9% | (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) | |
| 93.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| 86.5% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)) (sqrt.f64 #s(literal 2 binary64))))) | |
| 55.9% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) | |
| 94.5% | (*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 95.0% | (*.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) (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 94.5% | (*.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 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) | |
| 85.8% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| ▶ | 95.3% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| ▶ | 98.8% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
| 56.0% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| ▶ | 55.9% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
| 61.6% | (*.f64 (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| ▶ | 55.0% | (*.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) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| 26.9% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 26.5% | (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z))) | |
| 32.9% | (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) #s(literal 1 binary64)) | |
| 32.4% | (*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 61.6% | (*.f64 (*.f64 (neg.f64 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))) | |
| 32.5% | (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| 32.4% | (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) | |
| 21.9% | (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 z)))) | |
| 63.3% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) | |
| ▶ | 32.9% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
| 93.7% | (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))) | |
| 66.9% | (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) | |
| 56.4% | (*.f64 y (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (sqrt.f64 z) y)))) | |
| 23.8% | (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 x x))))) |
Compiled 1 576 to 1 102 computations (30.1% 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 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| ✓ | 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) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 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 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
| ✓ | cost-diff | 12288 | (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
| 10 240× | lower-fma.f32 |
| 10 230× | lower-fma.f64 |
| 4 622× | lower-*.f32 |
| 4 590× | lower-*.f64 |
| 3 426× | lower-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 305 |
| 0 | 75 | 305 |
| 1 | 162 | 301 |
| 2 | 437 | 299 |
| 3 | 1535 | 299 |
| 4 | 4453 | 299 |
| 5 | 5841 | 299 |
| 0 | 8097 | 299 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) #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 |
(sqrt.f64 z) |
z |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) |
#s(literal 2 binary64) |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
#s(literal 1/4 binary64) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(neg.f64 y) |
y |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #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 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 z) |
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 (*.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) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
(fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/8 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 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 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 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
t |
(*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(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)) |
(*.f64 t t) |
(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 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.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 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 |
(sqrt.f64 z) |
z |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) |
#s(literal 2 binary64) |
(exp.f64 (*.f64 t t)) |
(*.f64 t t) |
t |
#s(literal 1/4 binary64) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) z) |
(*.f64 z #s(literal 2 binary64)) |
#s(literal 2 binary64) |
z |
(neg.f64 y) |
y |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #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 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 z) |
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 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (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 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 z #s(literal 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))) |
(*.f64 z #s(literal 2 binary64)) |
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 t t) |
t |
(fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/8 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 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 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 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 t t) (fma.f64 t (*.f64 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)) |
t |
(*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
(*.f64 t (fma.f64 t (*.f64 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) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) |
(*.f64 t t) |
(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 | 3.4% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 3.3% | (*.f64 z #s(literal 2 binary64)) |
| ✓ | accuracy | 2.9% | (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 2.3% | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | accuracy | 5.4% | (*.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 3.4% | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| ✓ | accuracy | 3.3% | (*.f64 z #s(literal 2 binary64)) |
| ✓ | accuracy | 2.7% | (*.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))) |
| ✓ | accuracy | 5.2% | (sqrt.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 3.4% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 2.4% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
| ✓ | accuracy | 2.3% | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| ✓ | accuracy | 99.6% | (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
| ✓ | accuracy | 3.9% | (*.f64 #s(literal 2 binary64) z) |
| ✓ | accuracy | 3.7% | (neg.f64 y) |
| ✓ | accuracy | 3.7% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
| ✓ | accuracy | 3.6% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) |
| ✓ | accuracy | 3.4% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 2.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
| ✓ | accuracy | 2.3% | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 106.0ms | 256× | 0 | valid |
Compiled 632 to 87 computations (86.2% saved)
ival-mult: 30.0ms (37.4% of total)ival-pow: 21.0ms (26.2% of total)ival-sqrt: 9.0ms (11.2% of total)ival-add: 8.0ms (10% of total)const: 4.0ms (5% of total)ival-exp: 2.0ms (2.5% of total)ival-neg: 2.0ms (2.5% of total)ival-pow2: 2.0ms (2.5% of total)ival-sub: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) #s(literal 2 binary64))> |
#<alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))> |
#<alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z))> |
#<alt (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)> |
#<alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))> |
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) z))> |
#<alt (*.f64 #s(literal 2 binary64) z)> |
#<alt (neg.f64 y)> |
#<alt (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))> |
#<alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 x #s(literal 1/2 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) #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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))> |
#<alt (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))> |
#<alt (sqrt.f64 #s(literal 2 binary64))> |
#<alt (*.f64 z #s(literal 2 binary64))> |
#<alt (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))> |
| Outputs |
|---|
#<alt (sqrt 2)> |
#<alt (+ (sqrt 2) (/ t (sqrt 2)))> |
#<alt (+ (sqrt 2) (* t (+ (* 1/2 (/ (* t (- 1 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (/ 1 (sqrt 2)))))> |
#<alt (+ (sqrt 2) (* t (+ (* t (+ (* 1/2 (/ (* t (- (+ 1/3 (/ 1 (pow (sqrt 2) 4))) (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (* 1/2 (/ (- 1 (/ 1 (pow (sqrt 2) 2))) (sqrt 2))))) (/ 1 (sqrt 2)))))> |
#<alt (* (sqrt (exp (pow t 2))) (sqrt 2))> |
#<alt (* (sqrt (exp (pow t 2))) (sqrt 2))> |
#<alt (* (sqrt (exp (pow t 2))) (sqrt 2))> |
#<alt (* (sqrt (exp (pow t 2))) (sqrt 2))> |
#<alt (* (sqrt (exp (pow t 2))) (sqrt 2))> |
#<alt (* (sqrt (exp (pow t 2))) (sqrt 2))> |
#<alt (* (sqrt (exp (pow t 2))) (sqrt 2))> |
#<alt (* (sqrt (exp (pow t 2))) (sqrt 2))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4)))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2)))))> |
#<alt (* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2)))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5))))))))> |
#<alt (* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5))))))))> |
#<alt (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4)))))))> |
#<alt (+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4)))))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 4))))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 4))))))))> |
#<alt (* y (+ (* -1 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 4))))))))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4))))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 4)))))) (* (sqrt (* z (exp (pow t 4)))) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 4)))))) (* (sqrt (* z (exp (pow t 4)))) (sqrt 2)))))> |
#<alt (* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 4)))))) (* (sqrt (* z (exp (pow t 4)))) (sqrt 2)))))> |
#<alt (* (sqrt (* z (exp (pow t 4)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 4)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 4)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 4)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 4)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 4)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 4)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* (sqrt (* z (exp (pow t 4)))) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 4)))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 4)))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 4)))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))> |
#<alt (* -1 (* (sqrt (* z (exp (pow t 4)))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (+ (* 1/2 (* (* (pow t 4) (* (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 4) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 4) (* (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 4) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 4) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 4) (* (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 (sqrt z)))> |
#<alt (+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z))))> |
#<alt (+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z))))> |
#<alt (+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z))))> |
#<alt (* 1/2 (* x (sqrt z)))> |
#<alt (* x (+ (* -1 (* (/ y x) (sqrt z))) (* 1/2 (sqrt z))))> |
#<alt (* x (+ (* -1 (* (/ y x) (sqrt z))) (* 1/2 (sqrt z))))> |
#<alt (* x (+ (* -1 (* (/ y x) (sqrt z))) (* 1/2 (sqrt z))))> |
#<alt (* 1/2 (* x (sqrt z)))> |
#<alt (* -1 (* x (+ (* -1/2 (sqrt z)) (* (/ y x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (sqrt z)) (* (/ y x) (sqrt z)))))> |
#<alt (* -1 (* x (+ (* -1/2 (sqrt z)) (* (/ y x) (sqrt z)))))> |
#<alt (* 1/2 (* x (sqrt z)))> |
#<alt (+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z))))> |
#<alt (+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z))))> |
#<alt (+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z))))> |
#<alt (* -1 (* y (sqrt z)))> |
#<alt (* y (+ (* -1 (sqrt z)) (* 1/2 (* (/ x y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (sqrt z)) (* 1/2 (* (/ x y) (sqrt z)))))> |
#<alt (* y (+ (* -1 (sqrt z)) (* 1/2 (* (/ x y) (sqrt z)))))> |
#<alt (* -1 (* y (sqrt z)))> |
#<alt (* -1 (* y (+ (sqrt z) (* -1/2 (* (/ x y) (sqrt z))))))> |
#<alt (* -1 (* y (+ (sqrt z) (* -1/2 (* (/ x y) (sqrt z))))))> |
#<alt (* -1 (* y (+ (sqrt z) (* -1/2 (* (/ x y) (sqrt z))))))> |
#<alt (* (sqrt z) (- (* 1/2 x) y))> |
#<alt (* (sqrt z) (- (* 1/2 x) y))> |
#<alt (* (sqrt z) (- (* 1/2 x) y))> |
#<alt (* (sqrt z) (- (* 1/2 x) y))> |
#<alt (* (sqrt z) (- (* 1/2 x) y))> |
#<alt (* (sqrt z) (- (* 1/2 x) y))> |
#<alt (* (sqrt z) (- (* 1/2 x) y))> |
#<alt (* (sqrt z) (- (* 1/2 x) y))> |
#<alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))> |
#<alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))> |
#<alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (- (* 1/2 x) y))))> |
#<alt (* -1 (* (sqrt z) (* (pow (sqrt -1) 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 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))> |
#<alt (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))> |
#<alt (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))> |
#<alt (* (* y (* (sqrt -2) (sqrt -1))) (sqrt z))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
#<alt (* -1 (* (* y (sqrt 2)) (sqrt z)))> |
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#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 9) (+ 1/2 (* (pow t 9) (+ 1/8 (* 1/48 (pow t 9))))))) (- (* 1/2 x) y))))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 9) (+ 1/2 (* (pow t 9) (+ 1/8 (* 1/48 (pow t 9))))))) (- (* 1/2 x) y))))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 9) (+ 1/2 (* (pow t 9) (+ 1/8 (* 1/48 (pow t 9))))))) (- (* 1/2 x) y))))))> |
#<alt (* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 9) (+ 1/2 (* (pow t 9) (+ 1/8 (* 1/48 (pow t 9))))))) (- (* 1/2 x) y))))))> |
#<alt (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))> |
#<alt (+ (* 1/2 (* (* (pow t 5) (* (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 5) (+ (* 1/8 (* (* (pow t 5) (* (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 5) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 5) (+ (* 1/48 (* (* (pow t 5) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))))))))> |
#<alt (* 1/48 (* (* (pow t 17) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))> |
#<alt (* 1/48 (* (* (pow t 17) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))> |
#<alt (* (pow t 17) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 8)) (sqrt z)))))> |
#<alt (* (pow t 17) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 8)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 12)) (sqrt z))))))> |
#<alt (* -1/48 (* (* (pow t 17) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))> |
#<alt (* -1/48 (* (* (pow t 17) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z)))> |
#<alt (* -1 (* (pow t 17) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 8)) (sqrt z))))))> |
#<alt (* -1 (* (pow t 17) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 8)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 12)) (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)> |
#<alt (* 2 z)> |
#<alt (* 2 z)> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt z> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* -1 z)> |
#<alt (* 1/2 t)> |
#<alt (* t (+ 1/2 (* 1/8 (pow t 2))))> |
#<alt (* t (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))> |
#<alt (* t (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))> |
#<alt (* 1/8 (pow t 9))> |
#<alt (* (pow t 9) (+ 1/8 (* 1/48 (/ 1 (pow t 5)))))> |
#<alt (* (pow t 9) (+ 1/8 (+ (/ 1/2 (pow t 8)) (* 1/48 (/ 1 (pow t 5))))))> |
#<alt (* (pow t 9) (+ 1/8 (+ (/ 1/2 (pow t 8)) (* 1/48 (/ 1 (pow t 5))))))> |
#<alt (* -1/8 (pow t 10))> |
#<alt (* (pow t 10) (- (* 1/48 (/ 1 (pow t 5))) 1/8))> |
#<alt (* (pow t 10) (- (+ (/ 1/2 (pow t 9)) (* 1/48 (/ 1 (pow t 5)))) 1/8))> |
#<alt (* (pow t 10) (- (+ (/ 1/2 (pow t 9)) (* 1/48 (/ 1 (pow t 5)))) 1/8))> |
111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | z | @ | 0 | (* (* 1/2 x) (sqrt (* z 2))) |
| 18.0ms | z | @ | inf | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* t (* t (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2))) 1)) |
| 7.0ms | y | @ | inf | (* (* (- (* x 1/2) y) (sqrt z)) (pow (pow (* 2 (exp (* t t))) 1/4) 2)) |
| 4.0ms | x | @ | 0 | (* (- (* x 1/2) y) (sqrt 2)) |
| 4.0ms | z | @ | -inf | (* (* (- (* x 1/2) y) (sqrt (* z 2))) (+ (* t (* t (+ (* (* t t) (+ (* (* t t) 1/48) 1/8)) 1/2))) 1)) |
Compiled 1 785 to 1 343 computations (24.8% saved)
| 1× | batch-egg-rewrite |
| 8 388× | lower-fma.f32 |
| 8 378× | lower-fma.f64 |
| 4 630× | lower-*.f32 |
| 4 598× | lower-*.f64 |
| 3 140× | lower-/.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 170 |
| 0 | 75 | 165 |
| 1 | 256 | 163 |
| 2 | 1688 | 162 |
| 0 | 8240 | 162 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) #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 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
(neg.f64 y) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 x #s(literal 1/2 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) #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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(exp.f64 (*.f64 (fma.f64 t t (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 t t (log.f64 #s(literal 2 binary64)))))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (fma.f64 t t (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 t t (log.f64 #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))) |
(pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 t t (log.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 t t (log.f64 #s(literal 2 binary64))))) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 2 binary64))) #s(literal 1/8 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (fma.f64 t t (log.f64 #s(literal 2 binary64))))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 t t (log.f64 #s(literal 2 binary64))))) (exp.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 t t (log.f64 #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (exp.f64 (fma.f64 (*.f64 t t) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 t t (log.f64 #s(literal 2 binary64))))))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (exp.f64 (fma.f64 (*.f64 t t) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 t t (log.f64 #s(literal 2 binary64)))))) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 t t (log.f64 #s(literal 2 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 3/8 binary64))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 t t (log.f64 #s(literal 2 binary64))))) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 3/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 3/8 binary64)) (exp.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 t t (log.f64 #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 3/8 binary64)) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 t t (log.f64 #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))))) |
(/.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 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))))) |
(/.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))) (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 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) |
(*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 t t (log.f64 #s(literal 2 binary64))))) (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 t t (log.f64 #s(literal 2 binary64))))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) |
(*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 z)) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 t t (log.f64 #s(literal 2 binary64)))))) (exp.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 t t (log.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y))) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) (/.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))))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) (sqrt.f64 (*.f64 z (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y))) |
(+.f64 (*.f64 (sqrt.f64 z) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 z) (neg.f64 y))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z)) (*.f64 (neg.f64 y) (sqrt.f64 z))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 z) (*.f64 (neg.f64 y) (sqrt.f64 z))) |
(fma.f64 (sqrt.f64 z) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 z) (neg.f64 y))) |
(/.f64 (sqrt.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
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(*.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)))) #s(literal -1/4 binary64)) t) (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal -1/2 binary64)))) |
| 1× | egg-herbie |
| 12 070× | lower-fma.f64 |
| 12 070× | lower-fma.f32 |
| 7 900× | lower-*.f64 |
| 7 900× | lower-*.f32 |
| 2 740× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 428 | 7112 |
| 1 | 1417 | 6365 |
| 2 | 4925 | 5975 |
| 0 | 8125 | 5728 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt 2) |
(+ (sqrt 2) (/ t (sqrt 2))) |
(+ (sqrt 2) (* t (+ (* 1/2 (/ (* t (- 1 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (/ 1 (sqrt 2))))) |
(+ (sqrt 2) (* t (+ (* t (+ (* 1/2 (/ (* t (- (+ 1/3 (/ 1 (pow (sqrt 2) 4))) (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (* 1/2 (/ (- 1 (/ 1 (pow (sqrt 2) 2))) (sqrt 2))))) (/ 1 (sqrt 2))))) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))))) |
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(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) (sqrt z)))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) (sqrt z)))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5)))))))))))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5)))))))))))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5)))))))))))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 6) (+ 1/2 (* (pow t 6) (+ 1/8 (* 1/48 (pow t 6))))))))) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 6) (+ 1/2 (* (pow t 6) (+ 1/8 (* 1/48 (pow t 6)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 6) (+ 1/2 (* (pow t 6) (+ 1/8 (* 1/48 (pow t 6))))))))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 6) (+ 1/2 (* (pow t 6) (+ 1/8 (* 1/48 (pow t 6)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 6) (+ 1/2 (* (pow t 6) (+ 1/8 (* 1/48 (pow t 6))))))))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 6) (+ 1/2 (* (pow t 6) (+ 1/8 (* 1/48 (pow t 6)))))))))) (* (/ (* y (* (sqrt 2) (+ 1 (* (pow t 6) (+ 1/2 (* (pow t 6) (+ 1/8 (* 1/48 (pow t 6))))))))) x) (sqrt z))))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) (sqrt z))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) (sqrt z)))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) (sqrt z)))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) (sqrt z)))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5)))))))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) y) (sqrt z))))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) (sqrt z))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5)))))))))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5)))))))))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5)))))))))))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 5) (+ 1/2 (* (pow t 5) (+ 1/8 (* 1/48 (pow t 5))))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 7) (+ 1/2 (* (pow t 7) (+ 1/8 (* 1/48 (pow t 7))))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 7) (+ 1/2 (* (pow t 7) (+ 1/8 (* 1/48 (pow t 7))))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 7) (+ 1/2 (* (pow t 7) (+ 1/8 (* 1/48 (pow t 7))))))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* (pow t 7) (+ 1/2 (* (pow t 7) (+ 1/8 (* 1/48 (pow t 7))))))) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 9) (+ 1/2 (* (pow t 9) (+ 1/8 (* 1/48 (pow t 9))))))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 9) (+ 1/2 (* (pow t 9) (+ 1/8 (* 1/48 (pow t 9))))))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 9) (+ 1/2 (* (pow t 9) (+ 1/8 (* 1/48 (pow t 9))))))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* (pow t 9) (+ 1/2 (* (pow t 9) (+ 1/8 (* 1/48 (pow t 9))))))) (- (* 1/2 x) y)))))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(+ (* 1/2 (* (* (pow t 5) (* (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 5) (+ (* 1/8 (* (* (pow t 5) (* (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 5) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 5) (+ (* 1/48 (* (* (pow t 5) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* 1/48 (* (* (pow t 17) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* 1/48 (* (* (pow t 17) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* (pow t 17) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 8)) (sqrt z))))) |
(* (pow t 17) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 8)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 12)) (sqrt z)))))) |
(* -1/48 (* (* (pow t 17) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* -1/48 (* (* (pow t 17) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* -1 (* (pow t 17) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 8)) (sqrt z)))))) |
(* -1 (* (pow t 17) (+ (* 1/48 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 8)) (sqrt z))) (* 1/2 (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 12)) (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 z) |
(* 2 z) |
z |
z |
z |
z |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* 1/2 t) |
(* t (+ 1/2 (* 1/8 (pow t 2)))) |
(* t (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))) |
(* t (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2)))))) |
(* 1/8 (pow t 9)) |
(* (pow t 9) (+ 1/8 (* 1/48 (/ 1 (pow t 5))))) |
(* (pow t 9) (+ 1/8 (+ (/ 1/2 (pow t 8)) (* 1/48 (/ 1 (pow t 5)))))) |
(* (pow t 9) (+ 1/8 (+ (/ 1/2 (pow t 8)) (* 1/48 (/ 1 (pow t 5)))))) |
(* -1/8 (pow t 10)) |
(* (pow t 10) (- (* 1/48 (/ 1 (pow t 5))) 1/8)) |
(* (pow t 10) (- (+ (/ 1/2 (pow t 9)) (* 1/48 (/ 1 (pow t 5)))) 1/8)) |
(* (pow t 10) (- (+ (/ 1/2 (pow t 9)) (* 1/48 (/ 1 (pow t 5)))) 1/8)) |
| Outputs |
|---|
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (/ t (sqrt 2))) |
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(+ (sqrt 2) (* t (+ (* 1/2 (/ (* t (- 1 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (/ 1 (sqrt 2))))) |
(fma.f64 t (fma.f64 t (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* t (+ (* t (+ (* 1/2 (/ (* t (- (+ 1/3 (/ 1 (pow (sqrt 2) 4))) (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))) (* 1/2 (/ (- 1 (/ 1 (pow (sqrt 2) 2))) (sqrt 2))))) (/ 1 (sqrt 2))))) |
(fma.f64 t (fma.f64 (*.f64 t #s(literal 1/2 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal -1/6 binary64)) (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 t t)))) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 t t)))) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 t t)))) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 t t)))) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 t t)))) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 t t)))) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 t t)))) |
(* (sqrt (exp (pow t 2))) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (exp.f64 (*.f64 t t)))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.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 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.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 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.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 4)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 5)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 y x)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 y x)))) (neg.f64 x)) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 5)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 5)))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (pow.f64 t #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 y x)))) (neg.f64 x)) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.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 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.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 4)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 4))))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.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 4)))))) |
(*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 4)))))))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 y (fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 4)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 4)))))))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 z (exp.f64 (*.f64 (*.f64 t t) (*.f64 t t))))) (*.f64 y (fma.f64 x (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
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(* (pow t 9) (+ 1/8 (+ (/ 1/2 (pow t 8)) (* 1/48 (/ 1 (pow t 5)))))) |
(*.f64 (pow.f64 t #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 t #s(literal 5 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t t)))))) |
(* (pow t 9) (+ 1/8 (+ (/ 1/2 (pow t 8)) (* 1/48 (/ 1 (pow t 5)))))) |
(*.f64 (pow.f64 t #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/48 binary64) (pow.f64 t #s(literal 5 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t t)))))) |
(* -1/8 (pow t 10)) |
(*.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 10 binary64))) |
(* (pow t 10) (- (* 1/48 (/ 1 (pow t 5))) 1/8)) |
(*.f64 (pow.f64 t #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 t #s(literal 5 binary64))) #s(literal -1/8 binary64))) |
(* (pow t 10) (- (+ (/ 1/2 (pow t 9)) (* 1/48 (/ 1 (pow t 5)))) 1/8)) |
(*.f64 (pow.f64 t #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 t #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 9 binary64))) #s(literal -1/8 binary64)))) |
(* (pow t 10) (- (+ (/ 1/2 (pow t 9)) (* 1/48 (/ 1 (pow t 5)))) 1/8)) |
(*.f64 (pow.f64 t #s(literal 10 binary64)) (+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 t #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 9 binary64))) #s(literal -1/8 binary64)))) |
Compiled 34 433 to 1 981 computations (94.2% saved)
42 alts after pruning (40 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 144 | 16 | 1 160 |
| Fresh | 9 | 24 | 33 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 156 | 42 | 1 198 |
| Status | Accuracy | Program |
|---|---|---|
| 36.4% | (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (neg.f64 y)) | |
| 41.6% | (/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 y y))))) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) | |
| 26.9% | (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x)) | |
| 32.9% | (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y)) | |
| 55.3% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) y) (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x #s(literal 1/2 binary64) y))))) | |
| 55.6% | (*.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)) | |
| 47.9% | (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 96.1% | (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 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)))) | |
| 56.4% | (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 55.9% | (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) | |
| 93.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) | |
| 86.5% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)) (sqrt.f64 #s(literal 2 binary64))))) | |
| 55.9% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) | |
| 58.0% | (*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 95.0% | (*.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) (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 94.5% | (*.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 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) | |
| 85.8% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 98.8% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (exp.f64 (*.f64 (fma.f64 t t (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))) | |
| ✓ | 55.9% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
| 37.9% | (*.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/16 binary64)))) | |
| 61.6% | (*.f64 (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) | |
| 56.8% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| 26.9% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) | |
| 26.5% | (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) | |
| 57.7% | (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x #s(literal 1/2 binary64))) | |
| 32.4% | (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) | |
| 32.9% | (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) #s(literal 1 binary64)) | |
| 61.6% | (*.f64 (*.f64 (neg.f64 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))) | |
| 63.5% | (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) | |
| 32.5% | (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| 32.4% | (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) | |
| 21.9% | (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 z)))) | |
| 63.3% | (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) | |
| 32.5% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (neg.f64 (*.f64 y y)) y)) | |
| ✓ | 32.9% | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) |
| 0.0% | (*.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 y)) | |
| 58.0% | (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/2 binary64)))) | |
| 66.9% | (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) | |
| 56.4% | (*.f64 y (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (sqrt.f64 z) y)))) | |
| 54.5% | (*.f64 x (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) | |
| 23.8% | (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 x x))))) | |
| 26.5% | (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (sqrt.f64 z)))) |
Compiled 2 256 to 869 computations (61.5% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 y)) |
(*.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 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 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 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (neg.f64 (*.f64 y y)) y)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 z)))) |
(/.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 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 x x))))) |
(*.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 x (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(*.f64 (*.f64 (neg.f64 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 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (neg.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x #s(literal 1/2 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) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
(*.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 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 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) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) |
(*.f64 (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 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) (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.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)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) y) (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/16 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 y y))))) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 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 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 y (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (sqrt.f64 z) y)))) |
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(*.f64 (*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 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 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (exp.f64 (*.f64 t t)) (*.f64 #s(literal 2 binary64) z))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))) (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t))))))) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (pow.f64 z #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (exp.f64 (*.f64 (fma.f64 t t (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 y (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 t t))) #s(literal 1/4 binary64)) #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:
| 75.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 72.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 72.0ms | z |
| 71.0ms | (*.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)))) |
| 66.0ms | (*.f64 x #s(literal 1/2 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 (neg.f64 z)) (neg.f64 y)) |
(*.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 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 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 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (neg.f64 (*.f64 y y)) y)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 z)))) |
(/.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 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 x x))))) |
(*.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 x (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(*.f64 (*.f64 (neg.f64 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 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (neg.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x #s(literal 1/2 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) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
(*.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 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 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) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) |
(*.f64 (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 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) (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.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)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) y) (*.f64 (fma.f64 x #s(literal -1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 x #s(literal 1/2 binary64) y))))) |
(*.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 (sqrt.f64 z) #s(literal 1/16 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 y y))))) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 z) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 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 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 y (*.f64 y y)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 y (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (sqrt.f64 z) y)))) |
(*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 z (exp.f64 (*.f64 t t)))))) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 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:
| 111.0ms | (*.f64 t t) |
| 83.0ms | (*.f64 z #s(literal 2 binary64)) |
| 70.0ms | x |
| 67.0ms | z |
| 58.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.1% | 1 | x |
| 96.1% | 1 | y |
| 96.1% | 1 | z |
| 96.1% | 1 | t |
| 96.1% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 96.1% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 96.1% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 96.1% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 96.1% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 96.1% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 96.1% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 96.1% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 96.1% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 y)) |
(*.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 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 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 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (neg.f64 (*.f64 y y)) y)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 z)))) |
(/.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 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 x x))))) |
(*.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 x (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(*.f64 (*.f64 (neg.f64 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 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (neg.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x #s(literal 1/2 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) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
(*.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 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 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) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) |
(*.f64 (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 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) (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.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)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
13 calls:
| 78.0ms | (*.f64 z #s(literal 2 binary64)) |
| 72.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 67.0ms | (*.f64 t t) |
| 54.0ms | (*.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)))) |
| 50.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 1 | x |
| 95.3% | 1 | y |
| 95.3% | 1 | z |
| 95.3% | 1 | t |
| 95.3% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 95.3% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 95.3% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 95.3% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 95.3% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 95.3% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 95.3% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 95.3% | 1 | (*.f64 t t) |
| 95.3% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 y)) |
(*.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 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 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 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (neg.f64 (*.f64 y y)) y)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 z)))) |
(/.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 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 x x))))) |
(*.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 x (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(*.f64 (*.f64 (neg.f64 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 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (neg.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x #s(literal 1/2 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) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
(*.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 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 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) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) |
(*.f64 (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 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) (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (*.f64 y (neg.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.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)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t)) (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 (*.f64 t t) (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
13 calls:
| 58.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 49.0ms | (*.f64 t t) |
| 49.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 37.0ms | (*.f64 z #s(literal 2 binary64)) |
| 26.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.0% | 1 | x |
| 95.0% | 1 | y |
| 95.0% | 1 | z |
| 95.0% | 1 | t |
| 95.0% | 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)))) |
| 95.0% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 95.0% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 95.0% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 95.0% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 95.0% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 95.0% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 95.0% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 95.0% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 y)) |
(*.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 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 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 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (neg.f64 (*.f64 y y)) y)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 z)))) |
(/.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 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 x x))))) |
(*.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 x (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(*.f64 (*.f64 (neg.f64 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 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (neg.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x #s(literal 1/2 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) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
(*.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 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 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) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (fma.f64 x #s(literal -1/2 binary64) (neg.f64 y))) |
(*.f64 (*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
13 calls:
| 22.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 21.0ms | t |
| 18.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 15.0ms | (*.f64 z #s(literal 2 binary64)) |
| 15.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.5% | 1 | x |
| 94.5% | 1 | y |
| 94.5% | 1 | t |
| 94.5% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 94.5% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 94.5% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 94.5% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 94.5% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 94.5% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 94.5% | 1 | (*.f64 t t) |
| 94.5% | 1 | z |
| 94.5% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 94.5% | 1 | (*.f64 z #s(literal 2 binary64)) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 y)) |
(*.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 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 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 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (neg.f64 (*.f64 y y)) y)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 z)))) |
(/.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 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 x x))))) |
(*.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 x (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(*.f64 (*.f64 (neg.f64 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 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (neg.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x #s(literal 1/2 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) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
(*.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))) |
| 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) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
13 calls:
| 26.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 19.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 19.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 16.0ms | (*.f64 t t) |
| 13.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.7% | 1 | z |
| 92.7% | 1 | t |
| 92.7% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 92.7% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 92.7% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 92.7% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 92.7% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 92.7% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 92.7% | 1 | (*.f64 t t) |
| 92.7% | 1 | x |
| 92.7% | 1 | y |
| 92.7% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 92.7% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 y)) |
(*.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 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 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 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (neg.f64 (*.f64 y y)) y)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 z)))) |
(/.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 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 x x))))) |
(*.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 x (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(*.f64 (*.f64 (neg.f64 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 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (neg.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x #s(literal 1/2 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) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (fma.f64 x #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)))) |
| 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))) |
(*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
13 calls:
| 51.0ms | y |
| 30.0ms | x |
| 21.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 20.0ms | z |
| 20.0ms | (*.f64 t t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.4% | 3 | t |
| 85.8% | 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)))) |
| 85.8% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 85.8% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 85.8% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 90.4% | 3 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 90.4% | 3 | (*.f64 t t) |
| 85.8% | 1 | x |
| 85.8% | 1 | y |
| 85.8% | 1 | z |
| 85.8% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 85.8% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 85.8% | 1 | (*.f64 z #s(literal 2 binary64)) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 y)) |
(*.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 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 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 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (neg.f64 (*.f64 y y)) y)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 z)))) |
(/.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 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 x x))))) |
(*.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 x (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(*.f64 (*.f64 (neg.f64 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 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (neg.f64 y)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x #s(literal 1/2 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) #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 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
3 calls:
| 12.0ms | t |
| 10.0ms | (*.f64 t t) |
| 9.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.1% | 3 | t |
| 90.1% | 3 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 90.1% | 3 | (*.f64 t t) |
Compiled 21 to 16 computations (23.8% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 y)) |
(*.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 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 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 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (neg.f64 (*.f64 y y)) y)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 z)))) |
(/.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 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 x x))))) |
(*.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 x (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
(*.f64 (*.f64 (neg.f64 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 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal -1/2 binary64) y))) (neg.f64 y)) |
| 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))) |
(*.f64 (*.f64 (neg.f64 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 (*.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))) |
3 calls:
| 11.0ms | t |
| 10.0ms | (*.f64 t t) |
| 9.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.7% | 3 | t |
| 89.7% | 3 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 89.7% | 3 | (*.f64 t t) |
Compiled 21 to 16 computations (23.8% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 y)) |
(*.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 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 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 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (neg.f64 (*.f64 y y)) y)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 z)))) |
(/.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 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 t (*.f64 t #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) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (*.f64 x x))))) |
(*.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 x (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
7 calls:
| 10.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 10.0ms | t |
| 10.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 10.0ms | (*.f64 t t) |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.8% | 1 | x |
| 85.8% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 85.8% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 85.8% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 85.8% | 1 | t |
| 85.8% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 85.8% | 1 | (*.f64 t t) |
Compiled 52 to 41 computations (21.2% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 y)) |
(*.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 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 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 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (neg.f64 (*.f64 y y)) y)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 z)))) |
(/.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 x (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (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 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 z)))) |
13 calls:
| 28.0ms | t |
| 25.0ms | (*.f64 t t) |
| 10.0ms | (*.f64 z #s(literal 2 binary64)) |
| 9.0ms | z |
| 9.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.3% | 2 | t |
| 64.3% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 64.3% | 2 | (*.f64 t t) |
| 56.4% | 1 | y |
| 56.4% | 1 | z |
| 64.5% | 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)))) |
| 56.4% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 56.4% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 56.4% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 56.4% | 1 | x |
| 56.4% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 56.4% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 64.3% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 112 to 88 computations (21.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 y)) |
(*.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 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 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 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (neg.f64 (*.f64 y y)) y)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (neg.f64 (*.f64 y y)) y)) |
5 calls:
| 9.0ms | t |
| 7.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 6.0ms | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 6.0ms | (*.f64 t t) |
| 6.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.4% | 2 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 62.3% | 2 | t |
| 62.3% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 62.3% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 62.3% | 2 | (*.f64 t t) |
Compiled 52 to 39 computations (25% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 y)) |
(*.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 (fma.f64 x #s(literal -1/2 binary64) y) (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 y (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(*.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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 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 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (neg.f64 y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
6 calls:
| 8.0ms | t |
| 7.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 7.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 6.0ms | (*.f64 t t) |
| 5.0ms | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.4% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 56.4% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 56.4% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 56.4% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 56.4% | 1 | (*.f64 t t) |
| 56.4% | 1 | t |
Compiled 61 to 46 computations (24.6% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 y)) |
(*.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:
| 5.0ms | t |
| 3.0ms | x |
| 2.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 2.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 2.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.9% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 32.9% | 1 | z |
| 32.9% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 32.9% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 32.9% | 1 | x |
| 32.9% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 32.9% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 32.9% | 1 | (*.f64 t t) |
| 32.9% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 32.9% | 1 | y |
| 32.9% | 1 | t |
| 32.9% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 32.9% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
Compiled 112 to 88 computations (21.4% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 y)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 y)) |
13 calls:
| 2.0ms | (*.f64 t t) |
| 2.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 2.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 1.0ms | (*.f64 z #s(literal 2 binary64)) |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 0.0% | 1 | x |
| 0.0% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 0.0% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 0.0% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 0.0% | 1 | y |
| 0.0% | 1 | z |
| 0.0% | 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)))) |
| 0.0% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 0.0% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 0.0% | 1 | t |
| 0.0% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 0.0% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 0.0% | 1 | (*.f64 t t) |
Compiled 112 to 88 computations (21.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.7702552419413795e+296 | 1.4320727355467823e+302 |
| 0.0ms | 3.534329127346816e+34 | 6.461905919771061e+39 |
Compiled 24 to 22 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.7702552419413795e+296 | 1.4320727355467823e+302 |
| 0.0ms | 2.1226357997119087e+112 | 2.663725330702207e+112 |
Compiled 24 to 22 computations (8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.7702552419413795e+296 | 1.4320727355467823e+302 |
| 0.0ms | 3.4613282862825127e+55 | 4.119848152841835e+57 |
Compiled 24 to 22 computations (8.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 1.0002108137616184 | +inf |
| 16.0ms | 224× | 0 | valid |
Compiled 472 to 373 computations (21% saved)
ival-mult: 5.0ms (47.9% of total)ival-sub: 3.0ms (28.7% of total)ival-sqrt: 2.0ms (19.1% 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 |
|---|---|---|
| 13.0ms | 0.000660674712936131 | 0.020532488573957872 |
| 9.0ms | 112× | 0 | valid |
Compiled 241 to 190 computations (21.2% saved)
ival-mult: 3.0ms (48.7% of total)ival-sub: 1.0ms (16.2% of total)ival-div: 1.0ms (16.2% of total)ival-exp: 1.0ms (16.2% of total)ival-sqrt: 1.0ms (16.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 106× | *-commutative_binary64 |
| 40× | neg-sub0_binary64 |
| 40× | neg-mul-1_binary64 |
| 34× | +-commutative_binary64 |
| 34× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 430 |
| 1 | 149 | 430 |
| 2 | 196 | 430 |
| 3 | 236 | 430 |
| 4 | 260 | 430 |
| 5 | 270 | 430 |
| 6 | 272 | 430 |
| 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 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 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 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 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) (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 t t) #s(literal 49999999999999998431683053958987776 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696 binary64)) (*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 t t) #s(literal 25000000000000000388985403236671075606705034923026535834244264510770844529118892581624634747876186191905157021696 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 t t) #s(literal 50000000000000004595141754071689119042017229857842266112 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696 binary64)) (*.f64 (*.f64 (neg.f64 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 (*.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 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) |
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 21000000000000000756912393579169508470152349027422369256512852173258752 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 z))))) |
(if (<=.f64 t #s(literal 5764607523034235/288230376151711744 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)) (/.f64 (neg.f64 (*.f64 y y)) 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)) |
(*.f64 (sqrt.f64 (neg.f64 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 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 t t) (fma.f64 t (*.f64 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 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 t (*.f64 t (fma.f64 (*.f64 t t) (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 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) (*.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 (*.f64 t t) (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.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 (*.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) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(if (<=.f64 (*.f64 t t) #s(literal 49999999999999998431683053958987776 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696 binary64)) (*.f64 (*.f64 (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 t t) #s(literal 49999999999999998431683053958987776 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))) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 (*.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))))) |
(if (<=.f64 (*.f64 t t) #s(literal 25000000000000000388985403236671075606705034923026535834244264510770844529118892581624634747876186191905157021696 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))))) |
(if (<=.f64 (*.f64 t t) #s(literal 25000000000000000388985403236671075606705034923026535834244264510770844529118892581624634747876186191905157021696 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))) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 t (*.f64 t (fma.f64 t (*.f64 t #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (*.f64 (*.f64 (-.f64 (*.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))))) |
(if (<=.f64 (*.f64 t t) #s(literal 50000000000000004595141754071689119042017229857842266112 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64))) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696 binary64)) (*.f64 (*.f64 (neg.f64 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 (*.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))))) |
(if (<=.f64 (*.f64 t t) #s(literal 50000000000000004595141754071689119042017229857842266112 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))) (if (<=.f64 (*.f64 t t) #s(literal 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696 binary64)) (*.f64 (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) z)))) (*.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 (*.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))) |
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 21000000000000000756912393579169508470152349027422369256512852173258752 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (sqrt.f64 z))))) |
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 21000000000000000756912393579169508470152349027422369256512852173258752 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) (*.f64 y (*.f64 y (neg.f64 y))))) |
(if (<=.f64 t #s(literal 5764607523034235/288230376151711744 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)) (/.f64 (neg.f64 (*.f64 y y)) y))) |
(if (<=.f64 t #s(literal 5764607523034235/288230376151711744 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 (*.f64 y y) 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)) |
(*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (neg.f64 z)) (neg.f64 y)) |
(*.f64 (neg.f64 y) (sqrt.f64 (neg.f64 z))) |
| 19 476× | lower-fma.f64 |
| 19 476× | lower-fma.f32 |
| 12 070× | lower-fma.f64 |
| 12 070× | lower-fma.f32 |
| 10 734× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 428 | 7112 |
| 1 | 1417 | 6365 |
| 2 | 4925 | 5975 |
| 0 | 8125 | 5728 |
| 0 | 158 | 1891 |
| 1 | 511 | 1739 |
| 2 | 1703 | 1598 |
| 3 | 4403 | 1502 |
| 0 | 8694 | 1484 |
| 0 | 874 | 8474 |
| 1 | 2919 | 7819 |
| 2 | 7536 | 7743 |
| 0 | 8113 | 7448 |
| 0 | 15 | 41 |
| 0 | 24 | 39 |
| 1 | 63 | 38 |
| 2 | 285 | 38 |
| 3 | 2343 | 38 |
| 0 | 8616 | 38 |
| 0 | 31 | 163 |
| 0 | 56 | 156 |
| 1 | 173 | 155 |
| 2 | 1026 | 155 |
| 0 | 8677 | 154 |
| 0 | 40 | 170 |
| 0 | 75 | 165 |
| 1 | 256 | 163 |
| 2 | 1688 | 162 |
| 0 | 8240 | 162 |
| 0 | 43 | 216 |
| 0 | 79 | 200 |
| 1 | 250 | 182 |
| 2 | 1809 | 180 |
| 0 | 8612 | 180 |
| 0 | 670 | 9883 |
| 1 | 2099 | 8599 |
| 2 | 7001 | 8321 |
| 0 | 8183 | 8051 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | 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× | node limit |
Compiled 1 184 to 614 computations (48.1% saved)
(abs t)
Compiled 1 260 to 462 computations (63.3% saved)
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